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## Elishakoff, Isaac

Compute Distance To:
 Author ID: elishakoff.isaac Published as: Elishakoff, Isaac; Elishakoff, I.; Elishakoff, I. B.; Elishakoff, Issac; Elishakov, I. B.; Elishakov, I. External Links: Wikidata · ResearchGate · dblp
 Documents Indexed: 237 Publications since 1973, including 20 Books Biographic References: 1 Publication
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#### Co-Authors

 45 single-authored 13 Starnes, James H. jun. 11 Ren, Yongjian 10 Li, Yiwei 9 Challamel, Noël 9 Shinozuka, Masanobu 7 Qiu, Zhiping 6 Ruta, Giuseppe Claudio 5 Caliò, Ivo 5 Impollonia, Nicola 5 Pentaras, Demetris 4 Becquet, Roland 4 Cederbaum, Gabriel 4 Falsone, Giovanni 4 Fang, Jianjie 4 Guédé, Zakoua 4 Hache, Florian 4 Stavsky, Yehuda 4 Zhu, Liping 4 Zingales, Massimiliano 3 Arbocz, Johann 3 Baruch, Menahem 3 Gentilini, Cristina 3 Livshits, David 3 Sternberg, Alexander 3 Wang, Chien-Ming 3 Wang, Xiaojun 2 Aboudi, Jacob 2 Andriamasy, Lova 2 Ari-Gur, Judah 2 Ben-Haim, Yakov 2 Bernardini, Alberto 2 Caimi, Raoul 2 Candan, Suleyman 2 Colajanni, P. 2 Collet, Bernard 2 Colombi, Pierluigi 2 Crandall, Stephen Harry 2 De Bellis, Maria Laura 2 Givoli, Dan 2 Hasofer, Abraham M. 2 Librescu, Liviu I. 2 Marzani, Alessandro 2 Michelitsch, Thomas M. 2 Muscolino, Giuseppe 2 Neuringer, Joseph L. 2 Picandet, Vincent 2 Rollot, Olivier 2 Santoro, Roberta 2 Settineri, Dario 2 Soret, Clement 2 Storch, Joel A. 2 Tonon, Fulvio 2 Tonzani, Giulio Maria 2 Viola, Erasmo 2 Wang, Qishen 2 Zhang, Lihua 1 Ajenjo, Antoine 1 Archaud, E. 1 Ariaratnam, Sinnathamby T. 1 Aydogdu, Metin 1 Babcock, C. D. jun. 1 Baratta, Alessandro 1 Bégin-Drolet, André 1 Bekel, Yannis 1 Benaroya, Haym 1 Bert, Charles W. 1 Brząkała, Włodzimierz 1 Bushnell, David H. 1 Casciati, Fabio 1 Catellani, Giulia 1 Chen, Suhuan 1 Daphnis, A. 1 Das, Partha S. 1 Di Paola, Mario 1 DiMaggio, Frank L. 1 Dolley, Melanie 1 Ducreux, Baptiste 1 Elisseeff, Pierre 1 Ferracuti, Barbara 1 Ganguly, Ranjan 1 Ghosh, Debraj 1 Gilat, Rivka 1 Glegg, Stewart A. L. 1 Gomez, Thomas 1 Haftka, Raphael T. 1 He, Min 1 Hettema, Ch. D. 1 Hieu, Nguyen Ngoc 1 Hollkamp, Joseph 1 Hui, David 1 Ikeda, Kiyohiro 1 Irretier, Horst 1 Kalker, Joost J. 1 Koiter, Warner Tjardus 1 Kou, Changhe 1 Köylüoğlu, Hasan Uğur 1 Lee, Lawrence H. N. 1 Libai, Avinoam 1 Lottati, Itzhak 1 Lubliner, Eliezer ...and 34 more Co-Authors
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#### Serials

 22 Chaos, Solitons and Fractals 20 Acta Mechanica 20 International Journal of Solids and Structures 18 Journal of Applied Mechanics 18 Journal of Sound and Vibration 17 Computer Methods in Applied Mechanics and Engineering 10 Computers and Structures 9 Meccanica 6 Archive of Applied Mechanics 5 AIAA Journal 5 International Journal of Non-Linear Mechanics 4 Mathematics and Mechanics of Solids 4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 4 European Journal of Mechanics. A. Solids 3 International Journal of Engineering Science 3 Mathematical Problems in Engineering 3 CISM International Centre for Mechanical Sciences. Courses and Lectures 3 International Journal of Structural Stability and Dynamics 2 Journal of the Acoustical Society of America 2 Applied Mathematical Modelling 2 Continuum Mechanics and Thermodynamics 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Acta Mechanica Sinica 1 Applied Scientific Research 1 Israel Journal of Technology 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Applied Mathematics and Computation 1 Fuzzy Sets and Systems 1 Industrial Mathematics 1 Journal of Optimization Theory and Applications 1 Mechanics Research Communications 1 Mathematical and Computer Modelling 1 Prikladnaya Mekhanika 1 Memoirs on Differential Equations and Mathematical Physics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Archives of Computational Methods in Engineering 1 Scientiae Mathematicae Japonicae 1 Structural and Multidisciplinary Optimization 1 Theoretical and Applied Mechanics 1 Inverse Problems in Science and Engineering 1 AMD-Volumes 1 Lecture Notes in Engineering 1 Oxford Texts in Applied and Engineering Mathematics 1 Bulletin of the Georgian National Academy of Sciences. New Series 1 Advances in Theoretical and Applied Mechanics
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#### Fields

 213 Mechanics of deformable solids (74-XX) 26 Mechanics of particles and systems (70-XX) 15 Numerical analysis (65-XX) 13 Statistics (62-XX) 12 General and overarching topics; collections (00-XX) 10 Probability theory and stochastic processes (60-XX) 6 Fluid mechanics (76-XX) 6 Systems theory; control (93-XX) 5 History and biography (01-XX) 4 Ordinary differential equations (34-XX) 4 Computer science (68-XX) 4 Operations research, mathematical programming (90-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Geophysics (86-XX) 2 Mathematical logic and foundations (03-XX) 2 Partial differential equations (35-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH Open

169 Publications have been cited 1,027 times in 584 Documents Cited by Year
Convex models of uncertainty in applied mechanics. Zbl 0703.73100
Ben-Haim, Yakov; Elishakoff, Isaac
1990
Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis. Zbl 0947.74046
Qiu, Zhiping; Elishakoff, Isaac
1998
Essay on uncertainties in elastic and viscoelastic structures: From A. M. Freudenthal’s criticisms to modern convex modeling. Zbl 0921.73004
Elishakoff, I.
1995
Structural design under bounded uncertainty – Optimization with anti-optimization. Zbl 0878.73041
Elishakoff, I.; Haftka, R. T.; Fang, J.
1994
Probabilistic methods in the theory of structures. Zbl 0572.73094
Elishakoff, Isaac
1983
The bird’s eye view on finite element method for structures with large stochastic variations. Zbl 0953.74063
Elishakoff, Isaac; Ren, Yongjian
1999
Optimization and anti-optimization of structures under uncertainty. Zbl 1196.90004
Elishakoff, Isaac; Ohsaki, Makoto
2010
Nonprobabilistic, convex-theoretic modeling of scatter in material properties. Zbl 0804.73079
Elishakoff, Isaac; Elisseeff, Pierre; Glegg, Stewart A. L.
1994
Discrete systems behave as nonlocal structural elements: bending, buckling and vibration analysis. Zbl 1406.74376
Challamel, Noel; Wang, C. M.; Elishakoff, I.
2014
Eigenvalues of inhomogeneous structures: Unusual closed-form solutions. Zbl 1082.74002
Elishakoff, Isaac
2005
Combination of probabilistic and convex models of uncertainty when scarce knowledge is present on acoustic excitation parameters. Zbl 0812.73036
Elishakoff, Isaac; Colombi, Pierluigi
1993
Improved finite element method for stochastic problems. Zbl 0926.74108
Elishakoff, I.; Ren, Y. J.; Shinozuka, M.
1995
Probabilistic interval reliability of structural systems. Zbl 1169.74578
Qiu, Zhiping; Yang, Di; Elishakoff, Isaac
2008
Non-linear buckling of a column with initial imperfection via stochastic and non-stochastic convex models. Zbl 0796.73020
Elishakoff, I.; Cai, G. Q.; Starnes, J. H. jun.
1994
Stress concentration at a nearly circular hole with uncertain irregularities. Zbl 0825.73084
Givoli, Dan; Elishakoff, Isaac
1992
Static response bounds of Timoshenko beams with spatially varying interval uncertainties. Zbl 1401.74176
Sofi, A.; Muscolino, G.; Elishakoff, I.
2015
Derivation of multi-dimensional ellipsoid convex model for experimental data. Zbl 0857.73081
Zhu, L. P.; Elishakoff, I.; Starnes, J. H. jun.
1996
Inverse buckling problem for inhomogeneous columns. Zbl 1009.74021
Elishakoff, Isaac
2001
Non-probabilistic set-theoretic model for structural safety measure. Zbl 1151.74378
Wang, Xiaojun; Qiu, Z.; Elishakoff, I.
2008
Natural frequencies of structures with uncertain but nonrandom parameters. Zbl 0836.65061
Qiu, Z. P.; Chen, S. H.; Elishakoff, I.
1995
A deterministic method to predict the effect of unknown-but-bounded elastic moduli on the buckling of composite structures. Zbl 0845.73031
Elishakoff, I.; Li, Y. W.; Starnes, J. H. jun.
1994
Uncertain buckling: Its past, present and future. Zbl 0980.74022
Elishakoff, Isaac
2000
Applicatin of Krein’s method for determination of natural frequencies of periodically supported beam based on simplified Bresse-Timoshenko equations. Zbl 0606.73070
Abramovich, H.; Elishakoff, I.
1987
Buckling mode localization in elastic plates due to misplacement in the stiffener location. Zbl 0926.74030
Elishakoff, I.; Li, Y. W.; Starnes, J. H. jun.
1995
Probability and convexity concepts are not antagonistic. Zbl 1381.74176
Wang, Xiaojun; Wang, Lei; Elishakoff, Isaac; Qiu, Zhiping
2011
Anti-optimization technique – a generalization of interval analysis for nonprobabilistic treatment of uncertainty. Zbl 1172.74322
Qiu, Zhiping; Elishakoff, Isaac
2001
Some exact solutions for the bending of beams with spatially stochastic stiffness. Zbl 0920.73075
Elishakoff, I.; Ren, Y. J.; Shinozuka, M.
1995
Finite element methods for structures with large stochastic variations. Zbl 1037.74001
Elishakoff, Isaac; Ren, Yongjian
2003
Three-dimensional analysis of an all-round clamped plate made of functionally graded materials. Zbl 1082.74029
Elishakoff, I.; Gentilini, C.; Viola, E.
2005
Computerized symbolic solution for a nonconservative system in which instability occurs by flutter in one range of a parameter and by divergence in another. Zbl 0607.73051
Elishakoff, Isaac; Hollkamp, Joseph
1987
Non-classical problems in the theory of elastic stability. Zbl 0995.74002
Elishakoff, Isaac; Li, Yiwei; Starnes, James H. jun.
2001
Application and extension of the stochastic linearization by Anh and di Paola. Zbl 1162.70020
Elishakoff, Isaac; Andriamasy, Lova; Dolley, Melanie
2009
New closed-form solutions for buckling of a variable stiffness column by Mathematica. Zbl 1235.74042
Elishakoff, I.; Rollot, O.
1999
Non-probabilistic models of uncertainty in the nonlinear buckling of shells with general imperfections: Theoretical estimates of the knockdown factor. Zbl 0709.73026
Ben-Haim, Yakov; Elishakoff, Isaac
1989
A closed-form solution for the generalized Euler problem. Zbl 0984.74029
Elishakoff, I.
2000
Closed-form solutions for axially graded beam-columns. Zbl 1236.74141
Caliò, Ivo; Elishakoff, Isaac
2005
Random vibrations with MACSYMA. Zbl 0588.73157
Rehak, M. L.; Dimaggio, F. L.; Benaroya, H.; Elishakoff, I.
1987
Exact solutions for buckling of some divergence-type nonconservative systems in terms of Bessel and Lommel functions. Zbl 0615.73052
Elishakoff, Isaac; Pellegrini, Flavio
1988
Some closed-form solutions in random vibration of Bernoulli-Euler beams. Zbl 0556.73088
Elishakoff, Isaac; Livshits, David
1984
Apparently first closed-form solution for frequencies of deterministically and/or stochastically inhomogeneous simply supported beams. Zbl 1110.74361
Candan, S.; Elishakoff, I.
2001
Critical flow speeds of pipes conveying fluid using the generalized differential quadrature method. Zbl 1402.76096
Tornabene, Francesco; Marzani, Alessandro; Viola, Erasmo; Elishakoff, Isaac
2010
Buckling of a stochastically imperfect finite column on a nonlinear elastic foundation. A reliability study. Zbl 0405.73035
Elishakoff, Isaac
1979
New formulation of FEM for deterministic and stochastic beams through generalization of Fuchs’ approach. Zbl 0892.73058
Elishakoff, I.; Ren, Y. J.; Shinozuka, M.
1997
Apparently the first closed-from solution of inhomogeneous elastically restrained vibrating beams. Zbl 1243.74086
Elishakoff, Issac; Pentaras, Demetris
2006
Reliability of axially compressed cylindrical shells with random axisymmetric imperfections. Zbl 0485.73054
Elishakoff, Isaac; Arbocz, Johann
1982
Hybrid probabilistic and convex modeling of excitation and response of periodic structures. Zbl 0962.74506
Zhu, L. P.; Elishakoff, I.
1996
A comparison of stochastic and interval finite elements applied to shear frames with uncertain stiffness properties. Zbl 0922.73061
Köylüoǧlu, H. Uǧur; Elishakoff, Isaac
1998
Dynamic instability of shear-deformable viscoelastic laminated plates by Lyapunov exponents. Zbl 0749.73040
Cederbaum, Gabriel; Aboudi, Jacob; Elishakoff, Isaac
1991
Euler’s problem revisited: 222 years later. Zbl 1049.74566
Elishakoff, Isaac
2001
Clamped-free double-walled carbon nanotube-based mass sensor. Zbl 1381.74102
Elishakoff, I.; Versaci, C.; Muscolino, G.
2011
Closed-form trigonometric solutions for inhomogeneous beam-columns on elastic foundation. Zbl 1205.35306
Caliò, Ivo; Elishakoff, Isaac
2004
New exact solutions for randomly loaded beams with stochastic flexibility. Zbl 0930.74028
Elishakoff, I.; Impollonia, N.; Ren, Y. J.
1999
Simulation of space-random fields for solution of stochastic boundary- value problems. Zbl 0393.73016
Elishakoff, I.
1979
Apparently first closed-form solutions for inhomogeneous vibrating beams under axial loading. Zbl 1007.74044
Guédé, Z.; Elishakoff, I.
2001
Towards the resolution of the Smith-Herrmann paradox. Zbl 1066.74033
Ruta, G. C.; Elishakoff, I.
2004
Accuracy of the finite difference method in stochastic setting. Zbl 1243.74195
Santoro, Roberta; Elishakoff, Isaac
2006
Finite element method for stochastic beams based on variational principles. Zbl 0899.73543
Ren, Y.-J.; Elishakoff, I.; Shinozuka, M.
1997
Buckling mode localization in a multi-span periodic structure with a disorder in a single span. Zbl 0926.74029
Li, Y. W.; Elishakoff, I.; Starnes, J. H. jun.
1995
A transverse shear and normal deformable orthotropic beam theory. Zbl 0925.73243
Soldatos, K. P.; Elishakoff, I.
1992
Nonlinear response of a beam under stationary random excitation by improved stochastic linearization method. Zbl 0826.73042
Fang, Jianjie; Elishakoff, Isaac; Caimi, Raoul
1995
Does a partial elastic foundation increase the flutter velocity of a pipe conveying fluid? Zbl 1110.74428
Elishakoff, I.; Impollonia, N.
2001
Three-dimensional flexure of rectangular plates made of functionally graded materials. Zbl 1111.74393
Elishakoff, Isaac; Gentilini, Cristina
2005
Buckling under the external pressure of cylindrical shells with variable thickness. Zbl 1176.74070
Nguyen, Hien Luong T.; Elishakoff, I.; Nguyen, Vinh T.
2009
Reconstructing cantilever beams via vibration mode with a given node location. Zbl 1398.74159
Wu, Lei; Zhang, Li-Hua; Wang, Qi-Shen; Elishakoff, Isaac
2011
Buckling of an axially compressed cylindrical shell of variable thickness. Zbl 0802.73028
Koiter, W. T.; Elishakoff, I.; Li, Y. W.; Starnes, J. H. jun.
1994
Eigenfrequencies of continuous plates with arbitrary number of equal spans. Zbl 0418.73062
Elishakoff, Isaac; Sternberg, Alexander
1979
Hoff’s problem in a probabilistic setting. Zbl 0432.73038
Elishakoff, Isaac
1980
Remarks on the static and dynamic imperfection-sensitivity of nonsymmetric structures. Zbl 0436.73050
Elishakoff, Isaac
1980
Reconstructing the cross-sectional area of an axially vibrating non-uniform rod from one of its mode shapes. Zbl 1069.74026
Ram, Yitshak M.; Elishakoff, Isaac
2004
Vibrations of asymptotically and variationally based Uflyand-Mindlin plate models. Zbl 1423.74540
Elishakoff, I.; Hache, F.; Challamel, Noel
2017
Apparently the first closed-form solution of vibrating inhomogeneous beam with a tip mass. Zbl 1243.74052
Elishakoff, Isaac; Johnson, V.
2005
New results in finite element method for stochastic structures. Zbl 0932.74069
Ren, Y. J.; Elishakoff, I.
1998
Fuzzy sets based interpretation of the safety factor. Zbl 1100.74044
Elishakoff, Isaac; Ferracuti, Barbara
2006
A novel local stochastic linearization method via two extremum entropy principles. Zbl 1346.70022
Ricciardi, Giuseppe; Elishakoff, Isaac
2002
Hybrid theoretical, experimental and numerical study of vibration and buckling of composite shells with scatter in elastic moduli. Zbl 1167.74449
Wang, Xiaojun; Elishakoff, Isaac; Qiu, Zhiping; Kou, Changhe
2009
A new look at the stochastic linearization technique for hyperbolic tangent oscillator. Zbl 0965.70037
Colajanni, P.; Elishakoff, I.
1998
Localization of the bending response in the presence of axial load. Zbl 0992.74036
Zingales, Massimiliano; Elishakoff, Isaac
2000
A selective review of direct, semi-inverse and inverse eigenvalue problems for structures described by differential equations with variable coefficients. Zbl 0987.74003
Elishakoff, I.
2000
On the role of cross-correlations in the random vibrations of shells. Zbl 0347.70018
Elishakoff, I.
1977
Impact buckling of thin bar via Monte Carlo method. Zbl 0392.73040
Elishakoff, I.
1978
Wide-band random axisymmetric vibration of cylindrical shells. Zbl 0407.73072
Elishakoff, I.; van Zanten, A. Th.; Crandall, S. H.
1979
Vibration analysis of clamped square orthotropic plate. Zbl 0284.73037
Elishakoff, I. B.
1974
Distribution of natural frequencies in certain structural elements. Zbl 0294.73053
Elishakoff, I.
1975
Hybrid analysis of uncertainty: Probability, fuzziness and anti-optimization. Zbl 1013.74500
Tonon, Fulvio; Bernardini, Alberto; Elishakoff, Isaac
2001
Class of analytical closed-form polynomial solutions for guided–pinned inhomogeneous beams. Zbl 1076.74527
Becquet, Roland; Elishakoff, Isaac
2001
Class of analytical closed-form polynomial solutions for clamped-guided inhomogeneous beams. Zbl 1172.74314
Becquet, Roland; Elishakoff, Isaac
2001
Random vibration of a nonlinearly deformed beam by a new stochastic linearization technique. Zbl 0874.73079
Elishakoff, I.; Fang, J.; Caimi, R.
1995
Modified Monte Carlo method for buckling analysis of nonlinear imperfect structures. Zbl 1293.74433
Elishakoff, I.; Archaud, E.
2013
Revisiting finite difference and finite element methods applied to structural mechanics within enriched continua. Zbl 1406.74628
Challamel, Noël; Picandet, Vincent; Collet, Bernard; Michelitsch, Thomas; Elishakoff, Isaac; Wang, C. M.
2015
Influence of a Wieghardt foundation on the dynamic stability of a fluid conveying pipe. Zbl 1271.74065
De Bellis, M. L.; Ruta, G. C.; Elishakoff, I.
2010
A novel formulation leading to closed-form solutions for buckling of circular plates. Zbl 1099.74022
Elishakoff, I.; Ruta, G. C.; Stavsky, Y.
2006
Mechanics of functionally graded material structures. Zbl 1338.74001
Elishakoff, Isaac; Pentaras, Demetris; Gentilini, Cristina
2016
On nonlocal computation of eigenfrequencies of beams using finite difference and finite element methods. Zbl 1359.74198
Challamel, Noël; Picandet, Vincent; Elishakoff, Issac; Wang, Chien Ming; Collet, Bernard; Michelitsch, Thomas
2015
Statics and dynamics of nanorods embedded in an elastic medium: nonlocal elasticity and lattice formulations. Zbl 1406.74078
Challamel, Noël; Aydogdu, Metin; Elishakoff, Isaac
2018
Axial buckling of composite cylindrical shells with periodic thickness variation. Zbl 0900.73224
Li, Y. W.; Elishakoff, I.; Starnes, J. H. jun.
1995
Remarks on a dynamical higher-order theory of laminated plates and its application in random vibration response. Zbl 0705.73140
Cederbaum, G.; Librescu, L.; Elishakoff, I.
1989
Direct superposition of Wilson trial functions by computerized symbolic algebra. Zbl 0711.73277
Elishakoff, I.; Hettema, Ch. D.; Wilson, E. L.
1988
Divergence and flutter of nonconservative systems with intermediate support. Zbl 0615.73060
Elishakoff, Isaac; Lottati, Itzhak
1988
Buckling of polar orthotropic circular plates on elastic foundation by computerized symbolic algebra. Zbl 0626.73039
Elishakoff, Isaac; Tang, Jianguo
1988
Stochastic buckling of shells with general imperfections. Zbl 0486.73036
Elishakoff, I.; Arbocz, J.
1982
Who developed the so-called Timoshenko beam theory? Zbl 1446.74003
Elishakoff, Isaac
2020
Statics and dynamics of nanorods embedded in an elastic medium: nonlocal elasticity and lattice formulations. Zbl 1406.74078
Challamel, Noël; Aydogdu, Metin; Elishakoff, Isaac
2018
Effect of boundary conditions in three alternative models of Timoshenko-Ehrenfest beams on Winkler elastic foundation. Zbl 1390.74087
Elishakoff, Isaac; Tonzani, Giulio Maria; Marzani, Alessandro
2018
Vibrations of asymptotically and variationally based Uflyand-Mindlin plate models. Zbl 1423.74540
Elishakoff, I.; Hache, F.; Challamel, Noel
2017
Sixty years of stochastic linearization technique. Zbl 1371.65007
Elishakoff, Isaac; Crandall, Stephen H.
2017
Free vibration analysis of plates taking into account rotary inertia and shear deformation via three alternative theories: a Lévy-type solution. Zbl 1384.74017
Hache, F.; Elishakoff, I.; Challamel, N.
2017
Probabilistic methods in the theory of structures. Strength of materials, random vibrations, and random buckling. 3rd corrected and expanded edition. Zbl 1360.74004
Elishakoff, Isaac
2017
Mechanics of functionally graded material structures. Zbl 1338.74001
Elishakoff, Isaac; Pentaras, Demetris; Gentilini, Cristina
2016
Closed-form solutions and uncertainty quantification for gravity-loaded beams. Zbl 1341.74101
Sarkar, Korak; Ganguli, Ranjan; Ghosh, Debraj; Elishakoff, Isaac
2016
Static response bounds of Timoshenko beams with spatially varying interval uncertainties. Zbl 1401.74176
Sofi, A.; Muscolino, G.; Elishakoff, I.
2015
Revisiting finite difference and finite element methods applied to structural mechanics within enriched continua. Zbl 1406.74628
Challamel, Noël; Picandet, Vincent; Collet, Bernard; Michelitsch, Thomas; Elishakoff, Isaac; Wang, C. M.
2015
On nonlocal computation of eigenfrequencies of beams using finite difference and finite element methods. Zbl 1359.74198
Challamel, Noël; Picandet, Vincent; Elishakoff, Issac; Wang, Chien Ming; Collet, Bernard; Michelitsch, Thomas
2015
A new class of interdependent shape polynomials for the FE dynamic analysis of Mindlin plate Timoshenko beam. Zbl 1317.74085
Falsone, G.; Settineri, D.; Elishakoff, I.
2015
A contribution to the stability of an overhanging pipe conveying fluid. Zbl 1341.74053
De Bellis, Maria Laura; Ruta, Giuseppe C.; Elishakoff, Isaac
2015
Discrete systems behave as nonlocal structural elements: bending, buckling and vibration analysis. Zbl 1406.74376
Challamel, Noel; Wang, C. M.; Elishakoff, I.
2014
A new locking-free finite element method based on more consistent version of Mindlin plate equation. Zbl 1341.74148
Falsone, G.; Settineri, D.; Elishakoff, I.
2014
Modified Monte Carlo method for buckling analysis of nonlinear imperfect structures. Zbl 1293.74433
Elishakoff, I.; Archaud, E.
2013
A celebration of mechanics: from nano to macro. The J. Michael T. Thompson Festschrift issue. Zbl 1321.00092
Elishakoff, Isaac
2013
Virus sensor based on single-walled carbon nanotube: improved theory incorporating surface effects. Zbl 1327.74016
Elishakoff, Isaac; Challamel, Noël; Soret, Clément; Bekel, Yannis; Gomez, Thomas
2013
Buckling of a column made of functionally graded material. Zbl 1293.74117
Elishakoff, Isaac
2012
Nonlocal refined theory for nanobeams with surface effects. Zbl 1246.74027
Elishakoff, Isaac; Soret, Clement
2012
The tale of stochastic linearization technique: over half a century of progress. Zbl 1279.74042
Elishakoff, Isaac; Andriamasy, Lova
2012
Erratum to: “Free vibration of triple-walled carbon nanotubes”. Zbl 1401.74134
Pentaras, Demetris; Elishakoff, Isaac
2012
Probability and convexity concepts are not antagonistic. Zbl 1381.74176
Wang, Xiaojun; Wang, Lei; Elishakoff, Isaac; Qiu, Zhiping
2011
Clamped-free double-walled carbon nanotube-based mass sensor. Zbl 1381.74102
Elishakoff, I.; Versaci, C.; Muscolino, G.
2011
Reconstructing cantilever beams via vibration mode with a given node location. Zbl 1398.74159
Wu, Lei; Zhang, Li-Hua; Wang, Qi-Shen; Elishakoff, Isaac
2011
Free vibration of triple-walled carbon nanotubes. Zbl 1398.74151
Pentaras, Demetris; Elishakoff, Isaac
2011
Comparison of asymptotic method with explicit solutions in random vibration. Zbl 1293.70073
Elishakoff, I.; Livshits, D.
2011
Optimization and anti-optimization of structures under uncertainty. Zbl 1196.90004
Elishakoff, Isaac; Ohsaki, Makoto
2010
Critical flow speeds of pipes conveying fluid using the generalized differential quadrature method. Zbl 1402.76096
Tornabene, Francesco; Marzani, Alessandro; Viola, Erasmo; Elishakoff, Isaac
2010
Influence of a Wieghardt foundation on the dynamic stability of a fluid conveying pipe. Zbl 1271.74065
De Bellis, M. L.; Ruta, G. C.; Elishakoff, I.
2010
Application and extension of the stochastic linearization by Anh and di Paola. Zbl 1162.70020
Elishakoff, Isaac; Andriamasy, Lova; Dolley, Melanie
2009
Buckling under the external pressure of cylindrical shells with variable thickness. Zbl 1176.74070
Nguyen, Hien Luong T.; Elishakoff, I.; Nguyen, Vinh T.
2009
Hybrid theoretical, experimental and numerical study of vibration and buckling of composite shells with scatter in elastic moduli. Zbl 1167.74449
Wang, Xiaojun; Elishakoff, Isaac; Qiu, Zhiping; Kou, Changhe
2009
Probabilistic interval reliability of structural systems. Zbl 1169.74578
Qiu, Zhiping; Yang, Di; Elishakoff, Isaac
2008
Non-probabilistic set-theoretic model for structural safety measure. Zbl 1151.74378
Wang, Xiaojun; Qiu, Z.; Elishakoff, I.
2008
Combination of structural reliability and interval analysis. Zbl 1257.74188
Qiu, Zhiping; Yang, Di; Elishakoff, Isaac
2008
Apparently the first closed-from solution of inhomogeneous elastically restrained vibrating beams. Zbl 1243.74086
Elishakoff, Issac; Pentaras, Demetris
2006
Accuracy of the finite difference method in stochastic setting. Zbl 1243.74195
Santoro, Roberta; Elishakoff, Isaac
2006
Fuzzy sets based interpretation of the safety factor. Zbl 1100.74044
Elishakoff, Isaac; Ferracuti, Barbara
2006
A novel formulation leading to closed-form solutions for buckling of circular plates. Zbl 1099.74022
Elishakoff, I.; Ruta, G. C.; Stavsky, Y.
2006
Buckling of a column on a Wieghardt foundation. Zbl 1097.74024
Ruta, Giuseppe C.; Elishakoff, Isaac
2006
Eigenvalues of inhomogeneous structures: Unusual closed-form solutions. Zbl 1082.74002
Elishakoff, Isaac
2005
Three-dimensional analysis of an all-round clamped plate made of functionally graded materials. Zbl 1082.74029
Elishakoff, I.; Gentilini, C.; Viola, E.
2005
Closed-form solutions for axially graded beam-columns. Zbl 1236.74141
Caliò, Ivo; Elishakoff, Isaac
2005
Three-dimensional flexure of rectangular plates made of functionally graded materials. Zbl 1111.74393
Elishakoff, Isaac; Gentilini, Cristina
2005
Apparently the first closed-form solution of vibrating inhomogeneous beam with a tip mass. Zbl 1243.74052
Elishakoff, Isaac; Johnson, V.
2005
Essay on the contributors to the elastic stability theory. Zbl 1098.74004
Elishakoff, Isaac
2005
An unusual exact, closed-form solution for axisymmetric vibration of inhomogeneous simply supported circular plates. Zbl 1237.74061
Elishakoff, Isaac; Storch, Joel A.
2005
A paradox of non-monotonicity in stability of pipes conveying fluid. Zbl 1120.74449
Elishakoff, I.; Vittori, P.
2005
Closed-form trigonometric solutions for inhomogeneous beam-columns on elastic foundation. Zbl 1205.35306
Caliò, Ivo; Elishakoff, Isaac
2004
Towards the resolution of the Smith-Herrmann paradox. Zbl 1066.74033
Ruta, G. C.; Elishakoff, I.
2004
Reconstructing the cross-sectional area of an axially vibrating non-uniform rod from one of its mode shapes. Zbl 1069.74026
Ram, Yitshak M.; Elishakoff, Isaac
2004
Finite element methods for structures with large stochastic variations. Zbl 1037.74001
Elishakoff, Isaac; Ren, Yongjian
2003
Large variation finite element method for beams with stochastic stiffness. Zbl 1103.74362
Rollot, Olivier; Elishakoff, Isaac
2003
Contrasting probabilistic and anti-optimization approaches in an applied mechanics problem. Zbl 1052.74022
Elishakoff, I.; Zingales, M.
2003
Notes on philosophy of the Monte Carlo method. Zbl 1121.74490
Elishakov, I.
2003
A novel local stochastic linearization method via two extremum entropy principles. Zbl 1346.70022
Ricciardi, Giuseppe; Elishakoff, Isaac
2002
Modern problems of structural stability. Papers of a course on structural stability, Udine, Italy, 16–20 July, 2001. Zbl 1031.74008
Seyranian, Alexander P.; Elishakoff, Isaac
2002
Inverse buckling problem for inhomogeneous columns. Zbl 1009.74021
Elishakoff, Isaac
2001
Anti-optimization technique – a generalization of interval analysis for nonprobabilistic treatment of uncertainty. Zbl 1172.74322
Qiu, Zhiping; Elishakoff, Isaac
2001
Non-classical problems in the theory of elastic stability. Zbl 0995.74002
Elishakoff, Isaac; Li, Yiwei; Starnes, James H. jun.
2001
Apparently first closed-form solution for frequencies of deterministically and/or stochastically inhomogeneous simply supported beams. Zbl 1110.74361
Candan, S.; Elishakoff, I.
2001
Euler’s problem revisited: 222 years later. Zbl 1049.74566
Elishakoff, Isaac
2001
Apparently first closed-form solutions for inhomogeneous vibrating beams under axial loading. Zbl 1007.74044
Guédé, Z.; Elishakoff, I.
2001
Does a partial elastic foundation increase the flutter velocity of a pipe conveying fluid? Zbl 1110.74428
Elishakoff, I.; Impollonia, N.
2001
Hybrid analysis of uncertainty: Probability, fuzziness and anti-optimization. Zbl 1013.74500
Tonon, Fulvio; Bernardini, Alberto; Elishakoff, Isaac
2001
Class of analytical closed-form polynomial solutions for guided–pinned inhomogeneous beams. Zbl 1076.74527
Becquet, Roland; Elishakoff, Isaac
2001
Class of analytical closed-form polynomial solutions for clamped-guided inhomogeneous beams. Zbl 1172.74314
Becquet, Roland; Elishakoff, Isaac
2001
Some unexpected results in vibration of non-homogeneous beams on elastic foundation. Zbl 1002.74041
Elishakoff, Isaac
2001
Turning around a method of successive iterations to yield closed-form solutions for vibrating inhomogeneous bars. Zbl 1038.74022
Elishakoff, Isaac; Baruch, Menahem; Becquet, Roland
2001
Constructing the axial stiffness of longitudinally vibrating rod from fundamental mode shape. Zbl 1052.74027
Candan, Suleyman; Elishakoff, Isaac
2001
A remarkable nature of the effect of boundary conditions on closed-form solutions for vibrating inhomogeneous Bernoulli-Euler beams. Zbl 1060.74566
Elishakoff, I.; Guédé, Z.
2001
Novel closed-form solutions in buckling of inhomogeneous columns under distributed variable loading. Zbl 1076.74518
Elishakoff, Isaac; Guédé, Zakoua
2001
A fifth-order polynomial that serves as both buckling and vibration mode of an inhomogeneous structure. Zbl 1014.74031
Guédé, Zakoua; Elishakoff, Isaac
2001
Uncertain buckling: Its past, present and future. Zbl 0980.74022
Elishakoff, Isaac
2000
A closed-form solution for the generalized Euler problem. Zbl 0984.74029
Elishakoff, I.
2000
Localization of the bending response in the presence of axial load. Zbl 0992.74036
Zingales, Massimiliano; Elishakoff, Isaac
2000
A selective review of direct, semi-inverse and inverse eigenvalue problems for structures described by differential equations with variable coefficients. Zbl 0987.74003
Elishakoff, I.
2000
Buckling mode localization in rib-stiffened plates with misplaced stiffeners – Kantorovich approach. Zbl 0969.74026
Xie, W.-C.; Elishakoff, I.
2000
Anti-optimization versus probability in an applied mechanics problem: vector uncertainty. Zbl 1110.74810
Zingales, M.; Elishakoff, I.
2000
Elastic stability: from Euler to Koiter there was none like Koiter. Zbl 0987.74005
Elishakoff, Isaac
2000
Both static deflection and vibration mode of uniform beam can serve as a buckling mode of a non-uniform column. Zbl 1237.74060
Elishakoff, I.
2000
The bird’s eye view on finite element method for structures with large stochastic variations. Zbl 0953.74063
Elishakoff, Isaac; Ren, Yongjian
1999
New closed-form solutions for buckling of a variable stiffness column by Mathematica. Zbl 1235.74042
Elishakoff, I.; Rollot, O.
1999
New exact solutions for randomly loaded beams with stochastic flexibility. Zbl 0930.74028
Elishakoff, I.; Impollonia, N.; Ren, Y. J.
1999
Concept of random sets as applied to the design of structures and analysis of expert opinions for aircraft crash. Zbl 0967.62084
Tonon, F.; Bernardini, A.; Elishakoff, I.
1999
Refined theories may be needed for vibration analysis of structures with overhang. Zbl 0940.74023
Elishakoff, Isaac; Ari-Gur, Judah; Das, Partha S.
1999
Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis. Zbl 0947.74046
Qiu, Zhiping; Elishakoff, Isaac
1998
A comparison of stochastic and interval finite elements applied to shear frames with uncertain stiffness properties. Zbl 0922.73061
Köylüoǧlu, H. Uǧur; Elishakoff, Isaac
1998
New results in finite element method for stochastic structures. Zbl 0932.74069
Ren, Y. J.; Elishakoff, I.
1998
A new look at the stochastic linearization technique for hyperbolic tangent oscillator. Zbl 0965.70037
Colajanni, P.; Elishakoff, I.
1998
Combination of anti-optimization and fuzzy-set-based analyses for structural optimization under uncertainty. Zbl 0939.90027
Fang, J.; Smith, S. M.; Elishakoff, I.
1998
Booton’s problem re-examined. Zbl 1235.70176
Elishakoff, I.; Colajanni, P.
1998
New formulation of FEM for deterministic and stochastic beams through generalization of Fuchs’ approach. Zbl 0892.73058
Elishakoff, I.; Ren, Y. J.; Shinozuka, M.
1997
Finite element method for stochastic beams based on variational principles. Zbl 0899.73543
Ren, Y.-J.; Elishakoff, I.; Shinozuka, M.
1997
Dynamic instability of a transversely isotropic column subjected to a compression pulse. Zbl 0899.73175
Ari-Gur, J.; Elishakoff, I.
1997
Effect of the thickness variation and initial imperfection on buckling of composite cylindrical shells: Asymptotic analysis and numerical results by BOSOR4 and PANDA2. Zbl 0942.74563
Li, Yi-Wei; Elishakoff, Isaac; Starners, James H. jun.; Bushnell, David
1997
Derivation of multi-dimensional ellipsoid convex model for experimental data. Zbl 0857.73081
Zhu, L. P.; Elishakoff, I.; Starnes, J. H. jun.
1996
Hybrid probabilistic and convex modeling of excitation and response of periodic structures. Zbl 0962.74506
Zhu, L. P.; Elishakoff, I.
1996
...and 69 more Documents
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#### Cited by 830 Authors

 77 Elishakoff, Isaac 41 Qiu, Zhiping 23 Wang, Xiaojun 18 Wang, Lei 15 Challamel, Noël 15 Wang, Chong 10 Li, Yunlong 9 Xu, Menghui 9 Yu, Dejie 8 Kang, Zhan 8 Kanno, Yoshihiro 8 Moens, David 8 Wu, Di 7 Jiang, Chao 7 Papadopoulos, Vissarion 7 Wang, Chien-Ming 7 Xia, Baizhan 6 Han, Xu 6 Impollonia, Nicola 6 Nguyen Dong Anh 6 Papadrakakis, Manolis 5 Adali, Sarp 5 Babuška, Ivo 5 Faes, Matthias G. R. 5 Falsone, Giovanni 5 Guo, Xu 5 Matthies, Hermann Georg 5 Ruta, Giuseppe Claudio 5 Takewaki, Izuru 5 Tin-Loi, Francis 5 Tornabene, Francesco 4 Caliò, Ivo 4 Chen, Suhuan 4 Frommer, Andreas 4 Guo, Shuxiang 4 Hache, Florian 4 Hlaváček, Ivan 4 Hu, Juxi 4 Lü, Zhenzhou 4 Luo, Yangjun 4 Lv, Zheng 4 Müller, Peter Chr. 4 Starnes, James H. jun. 4 Vandepitte, Dirk 4 Viola, Erasmo 4 Wang, Qishen 4 Zhang, Lihua 3 Ahmadian, Mohammad Taghi 3 Behera, Diptiranjan 3 Ben-Haim, Yakov 3 Chakraverty, Snehashish 3 Chen, Ning 3 Chen, Weiqiu 3 Collet, Bernard 3 Deodatis, George 3 Do, Duy Minh 3 Du, Jianke 3 Ganguly, Ranjan 3 Gao, Kang 3 Givoli, Dan 3 Haftka, Raphael T. 3 Hao, Peng 3 He, Min 3 Hieu, Nguyen Ngoc 3 Li, Luyi 3 Li, Yiwei 3 Liu, Jie 3 Liu, Yisi 3 Liu, Yongshou 3 Luo, Zhen 3 Ma, Yujia 3 Mackerle, Jaroslav 3 Meng, Zeng 3 Michelitsch, Thomas M. 3 Muscolino, Giuseppe 3 Quaranta, Giuseppe 3 Rajasekaran, Sundaramoorthy 3 Ramos, Anderson J. A. 3 Sadek, Ibrahim S. 3 Settineri, Dario 3 Sofi, Alba 3 Song, Chongmin 3 Stefanou, George Demetrios 3 Tangaramvong, Sawekchai 3 Tempone, Raúl F. 3 Wang, Bo 3 Wang, Ruixing 3 Wang, Yutian 3 Zhang, Weisheng 3 Zhou, Huanlin 3 Zhu, Liping 2 Adhikari, Sondipon 2 Alvarez, Diego A. 2 Asghari, Mohsen 2 Bai, Wei 2 Becquet, Roland 2 Beer, Michael A. 2 Belhaq, Mohamed 2 Benaroya, Haym 2 Bernardini, Alberto ...and 730 more Authors
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#### Cited in 96 Serials

 121 Computer Methods in Applied Mechanics and Engineering 60 Acta Mechanica 57 Applied Mathematical Modelling 24 International Journal for Numerical Methods in Engineering 20 Chaos, Solitons and Fractals 17 Meccanica 16 European Journal of Mechanics. A. Solids 16 Acta Mechanica Sinica 14 Archive of Applied Mechanics 14 Mathematical Problems in Engineering 14 International Journal of Structural Stability and Dynamics 11 Applied Mathematics and Computation 10 Journal of Vibration and Control 9 International Journal of Engineering Science 8 Structural and Multidisciplinary Optimization 8 International Journal of Computational Methods 7 Computational Mechanics 6 International Journal of Solids and Structures 6 Fuzzy Sets and Systems 6 Applied Mathematics and Mechanics. (English Edition) 6 Engineering Analysis with Boundary Elements 6 Nonlinear Dynamics 5 Mechanics Research Communications 5 Mathematics and Mechanics of Solids 4 Computers & Mathematics with Applications 4 Mathematical and Computer Modelling 4 Communications in Numerical Methods in Engineering 4 Archives of Computational Methods in Engineering 4 Inverse Problems in Science and Engineering 3 Journal of Optimization Theory and Applications 3 Mathematics and Computers in Simulation 3 COMPEL 3 Applications of Mathematics 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Continuum Mechanics and Thermodynamics 3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Engineering Computations 3 Journal of Applied Mathematics 3 AMM. Applied Mathematics and Mechanics. (English Edition) 2 Journal of Computational Physics 2 Journal of the Franklin Institute 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 BIT 2 Journal of Differential Equations 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Optimization and Engineering 2 Nonlinear Analysis. Real World Applications 2 Sādhanā 2 Journal of Intelligent and Fuzzy Systems 2 Science China. Technological Sciences 1 Archives of Mechanics 1 Journal of Engineering Mathematics 1 Journal of Mathematical Analysis and Applications 1 Wave Motion 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Annales Scientifiques de l’Université de Clermont-Ferrand II. Mathématiques 1 Automatica 1 Journal of Computational and Applied Mathematics 1 Numerische Mathematik 1 Statistica Neerlandica 1 Stochastic Analysis and Applications 1 International Journal of Approximate Reasoning 1 Dynamics and Stability of Systems 1 Numerical Algorithms 1 European Journal of Operational Research 1 International Journal of Computer Mathematics 1 Acta Mechanica Sinica. (English Edition) 1 Journal of Dynamics and Differential Equations 1 Advances in Engineering Software 1 International Applied Mechanics 1 Journal of Mathematical Sciences (New York) 1 Reliable Computing 1 Matematychni Metody ta Fizyko-Mekhanichni Polya 1 Multibody System Dynamics 1 Soft Computing 1 Journal of Applied Mechanics and Technical Physics 1 Journal of Shanghai University 1 Discrete Dynamics in Nature and Society 1 Communications in Nonlinear Science and Numerical Simulation 1 International Journal of Applied Mathematics and Computer Science 1 Computational Geosciences 1 Lobachevskii Journal of Mathematics 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 The ANZIAM Journal 1 Differential Equations 1 Iranian Journal of Science and Technology. Transaction A: Science 1 Granular Matter 1 Acta Numerica 1 Journal of Zhejiang University. Science A 1 Monograph Series on Nonlinear Science and Complexity 1 Arabian Journal for Science and Engineering 1 ISRN Applied Mathematics 1 East Asian Journal on Applied Mathematics 1 Journal of Function Spaces 1 Control Theory and Technology 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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#### Cited in 32 Fields

 451 Mechanics of deformable solids (74-XX) 131 Numerical analysis (65-XX) 52 Operations research, mathematical programming (90-XX) 39 Statistics (62-XX) 34 Mechanics of particles and systems (70-XX) 32 Probability theory and stochastic processes (60-XX) 21 Partial differential equations (35-XX) 20 Ordinary differential equations (34-XX) 19 Systems theory; control (93-XX) 16 Fluid mechanics (76-XX) 11 Computer science (68-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Geophysics (86-XX) 6 Optics, electromagnetic theory (78-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Information and communication theory, circuits (94-XX) 3 Real functions (26-XX) 3 Biology and other natural sciences (92-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Special functions (33-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 1 General and overarching topics; collections (00-XX) 1 Topological groups, Lie groups (22-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX)

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