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Horgan, Cornelius Oliver

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Author ID: horgan.cornelius-o Recent zbMATH articles by "Horgan, Cornelius Oliver"
Published as: Horgan, C. O.; Horgan, Cornelius O.
Homepage: http://people.virginia.edu/~coh8p/1/2/horgan.html
External Links: MGP · ORCID · Google Scholar · ResearchGate · dblp · GND
Documents Indexed: 174 Publications since 1969
1 Further Contribution
Biographic References: 6 Publications
Co-Authors: 49 Co-Authors with 146 Joint Publications
618 Co-Co-Authors
all top 5

Co-Authors

24 single-authored
25 Murphy, Jeremiah G.
18 Payne, Lawrence Edward
15 Saccomandi, Giuseppe
11 Wheeler, Lewis T.
10 Abeyaratne, Rohan C.
7 Polignone, Debra A.
5 Borrelli, Alessandra
5 Knowles, James K.
5 Patria, Maria Cristina
4 Chan, Albert M.
4 Olmstead, W. Edward
4 Quintanilla de Latorre, Ramón
3 Anssari-Benam, Afshin
3 Baxter, Sarah C.
3 Chung, Dong-Teak
3 Kanner, Landon M.
3 Miller, Kristin L.
3 Nemat-Nasser, Sia
3 Simmonds, James G.
2 Chou-Wang, M.-S.
2 Galic, D.
2 Jafari, Amir Homayoun
2 Pence, Thomas J.
2 Spence, John P.
1 Aboudi, Jacob
1 Andry, Albert N. jun.
1 Beaumont, P. W. R.
1 Bert, Charles W.
1 Carroll, Michael M.
1 Casey, James
1 Chou, Tsu-Wei
1 Christensen, Richard M.
1 Cowin, Stephen C.
1 Crafter, E. C.
1 Daniel, Isaac M.
1 Datta, Subhendu K.
1 Destrade, Michel
1 Dharani, L. R.
1 Duke, J. C.
1 Dundurs, John
1 Dvorak, George J.
1 Gallo, R. L.
1 Gore, J. G.
1 Hashin, Zvi
1 Heise, R. M.
1 Henneke, Edmund G. II
1 Herakovich, Carl T.
1 Herrmann, Klaus P.
1 Hyer, Micahel W.
1 Iwakuma, Tetsuo
1 Ledbetter, H. M.
1 McCullough, R. L.
1 Mehrabadi, Morteza M.
1 Nachlinger, R. Ray
1 Nuismer, R. J. jun.
1 Ogden, Raymond William
1 Pagano, Nicholas J.
1 Philippin, Gérard A.
1 Phoenix, S. Leigh
1 Pindera, Marek-Jerzy
1 Plunkett, Robert L.
1 Poursartip, Anoush
1 Reddy, Junuthula Narasimha
1 Reifsnider, Kenneth L.
1 Rosen, B. W.
1 Rotem, A.
1 Savoia, Marco
1 Scalpato, M. R.
1 Schaefer, Philip W.
1 Schwartz, Joseph G.
1 Sendeckyj, G. P.
1 Sgura, Ivonne
1 Shah, Arvind H.
1 Siegel, David
1 Silling, Stewart A.
1 Smayda, Michael G.
1 Soni, Som Raj
1 Starnes, James H. jun.
1 Stinchcomb, W. W.
1 Stroud, W. Jefferson
1 Taya, Minoru
1 Tullini, Nerio
1 Turteltaub, Matias J.
1 Vafeades, P.
1 Villaggio, Piero
1 Wijeyewickrema, Anil C.
1 Willis, John Raymond
1 Wu, E. M.

Publications by Year

Citations contained in zbMATH Open

158 Publications have been cited 1,831 times in 914 Documents Cited by Year
Recent developments concerning Saint-Venant’s principle. Zbl 0569.73010
Horgan, Cornelius O.; Knowles, James K.
141
1983
Korn’s inequalities and their applications in continuum mechanics. Zbl 0840.73010
Horgan, C. O.
85
1995
Anti-plane shear deformations in linear and nonlinear solid mechanics. Zbl 0824.73018
Horgan, C. O.
57
1995
On inequalities of Korn, Friedrichs and Babuska-Aziz. Zbl 0512.73017
Horgan, C. O.; Payne, L. E.
53
1983
Spatial decay estimates for the Navier-Stokes equations with application to the problem of entry flow. Zbl 0389.76037
Horgan, C. O.; Wheeler, L. T.
47
1978
Spatial decay estimates in transient heat conduction. Zbl 0553.35037
Horgan, C. O.; Payne, L. E.; Wheeler, L. T.
46
1984
A bifurcation problem for a compressible nonlinearly elastic medium: Growth of a micro-void. Zbl 0585.73017
Horgan, C. O.; Abeyaratne, R.
45
1986
The pressurized hollow cylinder or disk problem for functionally graded isotropic linearly elastic materials. Zbl 0965.74012
Horgan, C. O.; Chan, A. M.
45
1999
A molecular-statistical basis for the Gent constitutive model of rubber elasticity. Zbl 1073.74007
Horgan, Cornelius O.; Saccomandi, Giuseppe
39
2002
A new constitutive theory for fiber-reinforced incompressible nonlinearly elastic solids. Zbl 1176.74026
Horgan, Cornelius O.; Saccomandi, Giuseppe
35
2005
Spatial behaviour of solutions of the dual-phase-lag heat equation. Zbl 1072.35113
Horgan, C. O.; Quintanilla, R.
30
2005
Cavitation for incompressible anisotropic nonlinearly elastic spheres. Zbl 0856.73024
Polignone, Debra A.; Horgan, Cornelius O.
28
1993
Spatial decay of transient and effects in functionally graded heat conducting materials. Zbl 1018.74010
Horgan, C. O.; Quintanilla, R.
28
2001
A theory of stress softening of elastomers based on finite chain extensibility. Zbl 1070.74008
Horgan, Cornelius O.; Ogden, Ray W.; Saccomandi, Giuseppe
24
2004
The finite deformation of internally pressurized hollow cylinders and spheres for a class of compressible elastic materials. Zbl 0603.73038
Chung, D.-T.; Horgan, C. O.; Abeyaratne, R.
24
1986
Constitutive modelling of rubber-like and biological materials with limiting chain extensibility. Zbl 1063.74012
Horgan, Cornelius O.; Saccomandi, Giuseppe
24
2002
The pressurized hollow sphere problem in finite elastostatics for a class of compressible materials. Zbl 0546.73033
Abeyaratne, R.; Horgan, C. O.
22
1984
Simple torsion of isotropic, hyperelastic, incompressible materials with limiting chain extensibility. Zbl 0982.74011
Horgan, Cornelius O.; Saccomandi, Giuseppe
21
1999
Torsion of functionally graded isotropic linearly elastic bars. Zbl 0947.74029
Horgan, C. O.; Chan, A. M.
21
1999
Finite strain solutions for a compressible elastic solid. Zbl 0716.73037
Carroll, M. M.; Horgan, C. O.
21
1990
Void nucleation and growth for compressible non-linearly elastic materials: An example. Zbl 0755.73026
Horgan, C. O.
20
1992
Constitutive models for compressible nonlinearly elastic materials with limiting chain extensibility. Zbl 1076.74008
Horgan, Cornelius O.; Saccomandi, Giuseppe
20
2004
Decay estimates for second-order quasilinear partial differential equations. Zbl 0556.35053
Horgan, C. O.; Payne, L. E.
19
1984
Equilibrium solutions for compressible nonlinearly elastic materials. Zbl 0993.74008
Horgan, Cornelius O.
19
2001
The stress response of functionally graded isotropic linearly elastic rotating disks. Zbl 0970.74017
Horgan, C. O.; Chan, A. M.
19
1999
Finite thermoelasticity with limiting chain extensibility. Zbl 1049.74019
Horgan, Cornelius O.; Saccomandi, Giuseppe
19
2003
Decay estimates for the biharmonic equation with applications to Saint- Venant principles in plane elasticity and Stokes flows. Zbl 0692.35010
Horgan, C. O.
18
1989
Decay estimates for a class of nonlinear boundary value problems in two dimensions. Zbl 0678.35027
Horgan, C. O.; Payne, L. E.
17
1989
Phragmén-Lindelöf type results for harmonic functions with nonlinear boundary conditions. Zbl 0790.31002
Horgan, C. O.; Payne, L. E.
17
1993
Saint-Venant’s principle for antiplane shear deformations of linear piezoelectric materials. Zbl 1047.74019
Borrelli, A.; Horgan, C. O.; Patria, M. C.
16
2002
Plane entry flows and energy estimates for the Navier-Stokes equations. Zbl 0397.76025
Horgan, C. O.
16
1978
Void nucleation and growth for a class of incompressible nonlinearly elastic materials. Zbl 0703.73025
Chou-Wang, M.-S.; Horgan, C. O.
16
1989
Exponential decay of end effects in anti-plane shear for functionally graded piezoelectric materials. Zbl 1102.74018
Borrelli, Alessandra; Horgan, Cornelius O.; Patria, M. Cristina
15
2004
Effects of material anisotropy and inhomogeneity on cavitation for composite incompressible anisotropic nonlinearly elastic spheres. Zbl 0817.73037
Polignone, Debra A.; Horgan, Cornelius O.
15
1993
Antiplane shear deformations for homogeneous and inhomogeneous anisotropic linearly elastic solids. Zbl 0809.73016
Horgan, C. O.; Miller, K. L.
15
1994
Anti-plane shear deformations for non-Gaussian isotropic, incompressible hyperelastic materials. Zbl 1041.74009
Horgan, Cornelius O.; Saccomandi, Giuseppe
15
2001
Saint-Venant end effects in antiplane shear for functionally graded linearly elastic materials. Zbl 1060.74023
Horgan, C. O.; Quintanilla, R.
14
2001
Eigenvalue problems associated with Korn’s inequalities. Zbl 0223.73011
Horgan, C. O.; Knowles, J. K.
14
1971
Pure torsion of compressible nonlinearly elastic circular cylinders. Zbl 0751.73014
Polignone, Debra A.; Horgan, Cornelius O.
13
1991
Remarks on ellipticity for the generalized Blatz-Ko constitutive model for a compressible nonlinearly elastic solid. Zbl 0852.73019
Horgan, C. O.
13
1996
Exponential decay estimates for second-order quasi-linear elliptic equations. Zbl 0356.35033
Horgan, Cornelius O.; Wheeler, Lewis T.
13
1977
Cavitation in nonlinear elastodynamics for neo-Hookean materials. Zbl 0694.73005
Chou-Wang, M.-S.; Horgan, C. O.
13
1989
Cavity formation at the center of a composite incompressible nonlinearly elastic sphere. Zbl 0711.73042
Horgan, C. O.; Pence, T. J.
13
1989
The effect of nonlinearity on a principle of Saint-Venant type. Zbl 0463.73007
Horgan, C. O.; Knowles, J. K.
13
1981
Simple shearing of soft biological tissues. Zbl 1428.74156
Horgan, Cornelius O.; Murphy, Jeremiah G.
12
2011
End effects in anti-plane shear for an inhomogeneous isotropic linearly elastic semi-infinite strip. Zbl 0941.74007
Chan, A. M.; Horgan, C. O.
12
1998
Exponential decay estimates for solutions of the von Kármán equations on a semi-infinite strip. Zbl 0662.73006
Vafeades, P.; Horgan, C. O.
11
1988
Initiation of localized plane deformations at a circular cavity in an infinite compressible nonlinearly elastic medium. Zbl 0574.73050
Abeyaratne, R.; Horgan, C. O.
11
1985
The finite deformation of a pressurized circular tube for a class of compressible materials. Zbl 0539.73038
Jafari, A. H.; Abeyaratne, R.; Horgan, C. O.
11
1984
Limiting chain extensibility constitutive models of Valanis-Landel type. Zbl 1106.74014
Horgan, Cornelius O.; Murphy, Jeremiah G.
11
2007
Pure azimuthal shear of isotropic, incompressible hyperelastic materials with limiting chain extensibility. Zbl 1345.74019
Horgan, Cornelius O.; Saccomandi, Giuseppe
11
2001
Simple shearing of incompressible and slightly compressible isotropic nonlinearly elastic materials. Zbl 1245.74004
Horgan, C. O.; Murphy, J. G.
11
2010
Inequalities of Korn and Friedrichs in elasticity and potential theory. Zbl 0308.35077
Horgan, Cornelius O.
10
1975
On the asymptotic behavior of solutions of linear second-order boundary- value problems on a semi-infinite strip. Zbl 0819.35014
Horgan, C. O.; Payne, L. E.
10
1993
Pure azimuthal shear of compressible nonlinearly elastic circular tubes. Zbl 0813.73026
Polignone, Debra A.; Horgan, Cornelius O.
10
1994
Decay estimates for a class of second-order quasilinear equations in three dimensions. Zbl 0567.35016
Horgan, C. O.; Payne, L. E.
10
1984
Strain energy density bounds for linear anisotropic elastic materials. Zbl 0773.73013
Mehrabadi, M. M.; Cowin, S. C.; Horgan, C. O.
10
1993
Spatial decay estimates for the heat equation via the maximum principle. Zbl 0335.35055
Horgan, Cornelius O.; Wheeler, Lewis T.
10
1976
Integral bounds for solutions of nonlinear reaction-diffusion equations. Zbl 0349.35069
Horgan, Cornelius O.
10
1977
On axisymmetric solutions for compressible nonlinearly elastic solids. Zbl 0836.73013
Horgan, Cornelius O.
10
1995
On the volumetric part of strain-energy functions used in the constitutive modeling of slightly compressible solid rubbers. Zbl 1167.74334
Horgan, Cornelius O.; Murphy, Jeremiah G.
10
2009
Saint-Venant decay rates for an isotropic inhomogeneous linearly elastic solid in anti-plane shear. Zbl 0912.73010
Scalpato, M. R.; Horgan, C. O.
10
1997
Eigenvalue estimates and the trace theorem. Zbl 0412.35073
Horgan, C. O.
10
1979
Void nucleation in tensile dead-loading of a composite incompressible nonlinearly elastic sphere. Zbl 0687.73017
Horgan, C. O.; Pence, T. J.
10
1989
Lower bounds for free membrane and related eigenvalues. Zbl 0755.35081
Horgan, C. O.; Payne, L. E.
9
1990
Saint-Venant’s principle and end effects in anisotropic elasticity. Zbl 0398.73009
Choi, I.; Horgan, C. O.
9
1977
A note on a bifurcation problem in finite plasticity related to void nucleation. Zbl 0618.73053
Chung, D.-T.; Horgan, C. O.; Abeyaratne, R.
8
1987
Compression tests and constitutive models for the slight compressibility of elastic rubber-like materials. Zbl 1213.74075
Horgan, Cornelius O.; Murphy, Jeremiah G.
8
2009
Axisymmetric finite anti-plane shear of compressible nonlinearly elastic circular tubes. Zbl 0755.73047
Polignone, Debra A.; Horgan, Cornelius O.
8
1992
On extension and torsion of strain-stiffening rubber-like elastic circular cylinders. Zbl 1159.74324
Kanner, Landon M.; Horgan, Cornelius O.
8
2008
A two-dimensional Saint-Venant principle for second-order linear elliptic equations. Zbl 0346.35043
Wheeler, Lewis T.; Horgan, Cornelius O.
8
1976
Exponential decay estimates for a class of nonlinear Dirichlet problems. Zbl 0418.35017
Horgan, C. O.; Olmstead, W. E.
8
1979
Pure axial shear of isotropic, incompressible nonlinearly elastic materials with limiting chain extensibility. Zbl 0988.74013
Horgan, Cornelius O.; Saccomandi, Giuseppe
8
1999
Constitutive models for almost incompressible isotropic elastic rubber-like materials. Zbl 1151.74316
Horgan, C. O.; Murphy, J. G.
8
2007
Some remarks on axisymmetric solutions in finite elastostatics for compressible materials. Zbl 0696.73026
Horgan, Cornelius O.
8
1989
A note on the pure torsion of a circular cylinder for a compressible nonlinearly elastic material with nonconvex strain-energy. Zbl 0817.73008
Horgan, Cornelius O.; Polignone, Debra A.
7
1995
Decay estimates for boundary-value problems in linear and nonlinear continuum mechanics. Zbl 0843.73014
Horgan, C. O.
7
1996
Dominant negative Poynting effect in simple shearing of soft tissues. Zbl 1360.74110
Destrade, M.; Horgan, C. O.; Murphy, J. G.
7
2015
On the domain of attraction for steady states in heat conduction. Zbl 0316.35054
Horgan, C. O.; Nachlinger, R. Ray
7
1976
Saint-Venant end effects for plane deformation of sandwich strips. Zbl 0372.73005
Choi, I.; Horgan, C. O.
7
1978
Superposition of generalized plane strain on anti-plane shear deformations in isotropic incompressible hyperelastic materials. Zbl 1061.74007
Horgan, Cornelius O.; Saccomandi, Giuseppe
7
2003
Saint-Venant’s principle in linear isotropic elasticity for incompressible or nearly incompressible materials. Zbl 0907.73010
Horgan, C. O.; Payne, L. E.
7
1997
On the modeling of extension-torsion experimental data for transversely isotropic biological soft tissues. Zbl 1243.74016
Horgan, Cornelius O.; Murphy, Jeremiah G.
7
2012
Torsion of incompressible fiber-reinforced nonlinearly elastic circular cylinders. Zbl 1273.74066
Horgan, Cornelius O.; Murphy, Jeremiah G.
7
2011
Saint-Venant end effects for plane deformations of linear piezoelectric solids. Zbl 1119.74386
Borrelli, Alessandra; Horgan, Cornelius O.; Patria, M. Cristina
7
2006
On the torsion of functionally graded anisotropic linearly elastic bars. Zbl 1128.74025
Horgan, Cornelius O.
7
2007
End effects for pre-stressed and pre-polarized piezoelectric solids in anti-plane shear. Zbl 1099.74516
Borelli, A.; Horgan, C. O.; Patria, M. C.
7
2003
Asymptotic analysis of an end-loaded, transversely isotropic, elastic, semi-infinite strip weak in shear. Zbl 0764.73043
Horgan, C. O.; Simmonds, J. G.
6
1991
A two-point boundary value problem for the axial shear of hardening isotropic incompressible nonlinearly elastic materials. Zbl 1022.74004
Horgan, Cornelius O.; Saccomandi, Giuseppe; Sgura, Ivonne
6
2002
Saint-Venant end effects in anti-plane shear for classes of linear piezoelectric materials. Zbl 1101.74330
Borrelli, Alessandra; Horgan, Cornelius O.; Patria, M. Cristina
6
2001
A note on the spatial decay of a three-dimensional minimal surface over a semi-infinite cylinder. Zbl 0585.35004
Horgan, C. O.
6
1985
On Korn’s inequality for incompressible media. Zbl 0269.73009
Horgan, Cornelius O.
6
1975
Constitutive modeling and the trousers test for fracture of rubber-like materials. Zbl 1122.74494
Horgan, Cornelius O.; Schwartz, Joseph G.
6
2005
Constitutive models for atactic elastomers. Zbl 1093.74514
Horgan, Cornelius O.; Saccomandi, Giuseppe
6
2004
Large deformations of a rotating solid cylinder for non-Gaussian isotropic, incompressible hyperelastic materials. Zbl 1110.74479
Horgan, C. O.; Saccomandi, G.
6
2001
The stress response of radially polarized rotating piezoelectric cylinders. Zbl 1110.74443
Galic, D.; Horgan, C. O.
6
2003
On the exponential decay of stresses in circular elastic cylinders subject to axisymmetric self-equilibrated end loads. Zbl 0164.55302
Knowles, J. K.; Horgan, C. O.
6
1969
On the displacement boundary-value problem for inextensible elastic materials. Zbl 0309.73011
Hayes, M.; Horgan, C. O.
5
1974
The eigenvalues for a self-equilibrated, semi-infinite, anisotropic elastic strip. Zbl 0775.73137
Crafter, E. C.; Heise, R. M.; Horgan, C. O.; Simmonds, J. G.
5
1993
On mixed boundary-value problems for inextensible elastic materials. Zbl 0314.73012
Hayes, Michael; Horgan, Cornelius O.
5
1975
Extension and torsion of rubber-like hollow and solid circular cylinders for incompressible isotropic hyperelastic materials with limiting chain extensibility. Zbl 07455238
Anssari-Benam, Afshin; Horgan, Cornelius O.
2
2022
On modelling simple shear for isotropic incompressible rubber-like materials. Zbl 1481.74071
Anssari-Benam, Afshin; Horgan, Cornelius O.
1
2021
Magic angles for fibrous incompressible elastic materials. Zbl 1402.74013
Horgan, C. O.; Murphy, J. G.
2
2018
On the fiber stretch in shearing deformations of fibrous soft materials. Zbl 1403.74012
Horgan, C. O.; Murphy, J. G.
2
2018
Extension or compression induced twisting in fiber-reinforced nonlinearly elastic circular cylinders. Zbl 1348.74050
Horgan, Cornelius O.; Murphy, Jeremiah G.
4
2016
Kinking instability in the torsion of stretched anisotropic elastomeric filaments. Zbl 1330.74021
Horgan, Cornelius O.; Murphy, Jeremiah G.
1
2016
Dominant negative Poynting effect in simple shearing of soft tissues. Zbl 1360.74110
Destrade, M.; Horgan, C. O.; Murphy, J. G.
7
2015
Reverse Poynting effects in the torsion of soft biomaterials. Zbl 1305.74021
Horgan, Cornelius O.; Murphy, Jeremiah G.
3
2015
Some unexpected behaviour in shear for elasticity models of arterial tissue that only use the \(I_{1}, I_{4}, I_{6}\) invariants. Zbl 1299.74026
Horgan, C. O.; Murphy, J. G.
1
2014
On the modeling of extension-torsion experimental data for transversely isotropic biological soft tissues. Zbl 1243.74016
Horgan, Cornelius O.; Murphy, Jeremiah G.
7
2012
Simple shearing of soft biological tissues. Zbl 1428.74156
Horgan, Cornelius O.; Murphy, Jeremiah G.
12
2011
Torsion of incompressible fiber-reinforced nonlinearly elastic circular cylinders. Zbl 1273.74066
Horgan, Cornelius O.; Murphy, Jeremiah G.
7
2011
On the normal stresses in simple shearing of fiber-reinforced nonlinearly elastic materials. Zbl 1269.74023
Horgan, Cornelius O.; Murphy, Jeremiah G.
3
2011
Extension and torsion of incompressible nonlinearly elastic solid circular cylinders. Zbl 1269.74024
Horgan, Cornelius O.; Murphy, Jeremiah G.
1
2011
Simple shearing of incompressible and slightly compressible isotropic nonlinearly elastic materials. Zbl 1245.74004
Horgan, C. O.; Murphy, J. G.
11
2010
On the volumetric part of strain-energy functions used in the constitutive modeling of slightly compressible solid rubbers. Zbl 1167.74334
Horgan, Cornelius O.; Murphy, Jeremiah G.
10
2009
Compression tests and constitutive models for the slight compressibility of elastic rubber-like materials. Zbl 1213.74075
Horgan, Cornelius O.; Murphy, Jeremiah G.
8
2009
On extension and torsion of strain-stiffening rubber-like elastic circular cylinders. Zbl 1159.74324
Kanner, Landon M.; Horgan, Cornelius O.
8
2008
Plane strain bending of strain-stiffening rubber-like rectangular beams. Zbl 1159.74372
Kanner, Landon M.; Horgan, Cornelius O.
4
2008
Inhomogeneous shearing of strain-stiffening rubber-like hollow circular cylinders. Zbl 1421.74014
Kanner, Landon M.; Horgan, Cornelius O.
1
2008
Limiting chain extensibility constitutive models of Valanis-Landel type. Zbl 1106.74014
Horgan, Cornelius O.; Murphy, Jeremiah G.
11
2007
Constitutive models for almost incompressible isotropic elastic rubber-like materials. Zbl 1151.74316
Horgan, C. O.; Murphy, J. G.
8
2007
On the torsion of functionally graded anisotropic linearly elastic bars. Zbl 1128.74025
Horgan, Cornelius O.
7
2007
The effects of compressibility on inhomogeneous deformations for a class of almost incompressible isotropic nonlinearly elastic materials. Zbl 1147.74007
Horgan, C. O.; Murphy, J. G.
3
2007
Saint-Venant end effects for plane deformations of linear piezoelectric solids. Zbl 1119.74386
Borrelli, Alessandra; Horgan, Cornelius O.; Patria, M. Cristina
7
2006
A new constitutive theory for fiber-reinforced incompressible nonlinearly elastic solids. Zbl 1176.74026
Horgan, Cornelius O.; Saccomandi, Giuseppe
35
2005
Spatial behaviour of solutions of the dual-phase-lag heat equation. Zbl 1072.35113
Horgan, C. O.; Quintanilla, R.
30
2005
Constitutive modeling and the trousers test for fracture of rubber-like materials. Zbl 1122.74494
Horgan, Cornelius O.; Schwartz, Joseph G.
6
2005
Spatial decay of transient end effects for nonstandard linear diffusion problems. Zbl 1086.35059
Horgan, C. O.; Quintanilla, R.
5
2005
Lie group analysis and plane strain bending of cylindrical sectors for compressible nonlinearly elastic materials. Zbl 1151.74317
Horgan, Cornelius O.; Murphy, Jeremiah G.
4
2005
A Lie group analysis of the axisymmetric equations of finite elastostatics for compressible materials. Zbl 1221.74010
Horgan, Cornelius O.; Murphy, Jeremiah
4
2005
Plane strain bending of cylindrical sectors of admissible compressible hyperelastic materials. Zbl 1090.74011
Horgan, Cornelius O.; Murphy, Jeremiah G.
2
2005
A theory of stress softening of elastomers based on finite chain extensibility. Zbl 1070.74008
Horgan, Cornelius O.; Ogden, Ray W.; Saccomandi, Giuseppe
24
2004
Constitutive models for compressible nonlinearly elastic materials with limiting chain extensibility. Zbl 1076.74008
Horgan, Cornelius O.; Saccomandi, Giuseppe
20
2004
Exponential decay of end effects in anti-plane shear for functionally graded piezoelectric materials. Zbl 1102.74018
Borrelli, Alessandra; Horgan, Cornelius O.; Patria, M. Cristina
15
2004
Constitutive models for atactic elastomers. Zbl 1093.74514
Horgan, Cornelius O.; Saccomandi, Giuseppe
6
2004
Invariance of the equilibrium equations of finite elasticity for compressible materials. Zbl 1070.74007
Horgan, Cornelius O.; Murphy, Jeremiah G.
1
2004
Finite thermoelasticity with limiting chain extensibility. Zbl 1049.74019
Horgan, Cornelius O.; Saccomandi, Giuseppe
19
2003
Superposition of generalized plane strain on anti-plane shear deformations in isotropic incompressible hyperelastic materials. Zbl 1061.74007
Horgan, Cornelius O.; Saccomandi, Giuseppe
7
2003
End effects for pre-stressed and pre-polarized piezoelectric solids in anti-plane shear. Zbl 1099.74516
Borelli, A.; Horgan, C. O.; Patria, M. C.
7
2003
The stress response of radially polarized rotating piezoelectric cylinders. Zbl 1110.74443
Galic, D.; Horgan, C. O.
6
2003
Helical shear for hardening generalized neo-Hookean elastic materials. Zbl 1052.74010
Horgan, Cornelius O.; Saccomandi, Giuseppe
5
2003
A molecular-statistical basis for the Gent constitutive model of rubber elasticity. Zbl 1073.74007
Horgan, Cornelius O.; Saccomandi, Giuseppe
39
2002
Constitutive modelling of rubber-like and biological materials with limiting chain extensibility. Zbl 1063.74012
Horgan, Cornelius O.; Saccomandi, Giuseppe
24
2002
Saint-Venant’s principle for antiplane shear deformations of linear piezoelectric materials. Zbl 1047.74019
Borrelli, A.; Horgan, C. O.; Patria, M. C.
16
2002
A two-point boundary value problem for the axial shear of hardening isotropic incompressible nonlinearly elastic materials. Zbl 1022.74004
Horgan, Cornelius O.; Saccomandi, Giuseppe; Sgura, Ivonne
6
2002
Internally pressurized radially polarized piezoelectric cylinders. Zbl 1078.74551
Galic, D.; Horgan, C. O.
4
2002
Recent mathematical developments for functionally graded linearly elastic materials. Zbl 1104.74300
Horgan, Cornelius O.
1
2002
Spatial decay of transient and effects in functionally graded heat conducting materials. Zbl 1018.74010
Horgan, C. O.; Quintanilla, R.
28
2001
Equilibrium solutions for compressible nonlinearly elastic materials. Zbl 0993.74008
Horgan, Cornelius O.
19
2001
Anti-plane shear deformations for non-Gaussian isotropic, incompressible hyperelastic materials. Zbl 1041.74009
Horgan, Cornelius O.; Saccomandi, Giuseppe
15
2001
Saint-Venant end effects in antiplane shear for functionally graded linearly elastic materials. Zbl 1060.74023
Horgan, C. O.; Quintanilla, R.
14
2001
Pure azimuthal shear of isotropic, incompressible hyperelastic materials with limiting chain extensibility. Zbl 1345.74019
Horgan, Cornelius O.; Saccomandi, Giuseppe
11
2001
Saint-Venant end effects in anti-plane shear for classes of linear piezoelectric materials. Zbl 1101.74330
Borrelli, Alessandra; Horgan, Cornelius O.; Patria, M. Cristina
6
2001
Large deformations of a rotating solid cylinder for non-Gaussian isotropic, incompressible hyperelastic materials. Zbl 1110.74479
Horgan, C. O.; Saccomandi, G.
6
2001
The pressurized hollow cylinder or disk problem for functionally graded isotropic linearly elastic materials. Zbl 0965.74012
Horgan, C. O.; Chan, A. M.
45
1999
Simple torsion of isotropic, hyperelastic, incompressible materials with limiting chain extensibility. Zbl 0982.74011
Horgan, Cornelius O.; Saccomandi, Giuseppe
21
1999
Torsion of functionally graded isotropic linearly elastic bars. Zbl 0947.74029
Horgan, C. O.; Chan, A. M.
21
1999
The stress response of functionally graded isotropic linearly elastic rotating disks. Zbl 0970.74017
Horgan, C. O.; Chan, A. M.
19
1999
Pure axial shear of isotropic, incompressible nonlinearly elastic materials with limiting chain extensibility. Zbl 0988.74013
Horgan, Cornelius O.; Saccomandi, Giuseppe
8
1999
End effects in anti-plane shear for an inhomogeneous isotropic linearly elastic semi-infinite strip. Zbl 0941.74007
Chan, A. M.; Horgan, C. O.
12
1998
Saint-Venant decay rates for an isotropic inhomogeneous linearly elastic solid in anti-plane shear. Zbl 0912.73010
Scalpato, M. R.; Horgan, C. O.
10
1997
Saint-Venant’s principle in linear isotropic elasticity for incompressible or nearly incompressible materials. Zbl 0907.73010
Horgan, C. O.; Payne, L. E.
7
1997
Anti-plane shear deformations of anisotropic sandwich structures: End effects. Zbl 0947.74551
Baxter, S. C.; Horgan, C. O.
1
1997
Spatial decay estimates for a coupled system of second-order quasilinear partial differential equations arising in thermoelastic finite anti-plane shear. Zbl 0887.35051
Horgan, C. O.; Payne, L. E.
1
1997
Remarks on ellipticity for the generalized Blatz-Ko constitutive model for a compressible nonlinearly elastic solid. Zbl 0852.73019
Horgan, C. O.
13
1996
Decay estimates for boundary-value problems in linear and nonlinear continuum mechanics. Zbl 0843.73014
Horgan, C. O.
7
1996
Effects of curvilinear anisotropy on radially symmetric stresses in anisotropic linearly elastic solids. Zbl 0870.73007
Horgan, C. O.; Baxter, S. C.
4
1996
Further analysis of end effects for plane deformations of sandwich strips. Zbl 0921.73064
Wijeyewickrema, A. C.; Horgan, C. O.; Dundurs, J.
2
1996
Spatial decay estimates for a class of second-order quasilinear elliptic partial differential equations arising in anisotropic nonlinear elasticity. Zbl 1001.74524
Horgan, C. O.; Payne, L. E.
2
1996
A semi-inverse shape optimization problem in linear anti-plane shear. Zbl 0890.73044
Horgan, C. O.; Villaggio, Piero
1
1996
Korn’s inequalities and their applications in continuum mechanics. Zbl 0840.73010
Horgan, C. O.
85
1995
Anti-plane shear deformations in linear and nonlinear solid mechanics. Zbl 0824.73018
Horgan, C. O.
57
1995
On axisymmetric solutions for compressible nonlinearly elastic solids. Zbl 0836.73013
Horgan, Cornelius O.
10
1995
A note on the pure torsion of a circular cylinder for a compressible nonlinearly elastic material with nonconvex strain-energy. Zbl 0817.73008
Horgan, Cornelius O.; Polignone, Debra A.
7
1995
End effects for plane deformations of an elastic anisotropic semi- infinite strip. Zbl 0833.73005
Miller, K. L.; Horgan, C. O.
5
1995
End effects for anti-plane shear deformations of sandwich structures. Zbl 0845.73010
Baxter, S. C.; Horgan, C. O.
2
1995
Antiplane shear deformations for homogeneous and inhomogeneous anisotropic linearly elastic solids. Zbl 0809.73016
Horgan, C. O.; Miller, K. L.
15
1994
Pure azimuthal shear of compressible nonlinearly elastic circular tubes. Zbl 0813.73026
Polignone, Debra A.; Horgan, Cornelius O.
10
1994
Cavitation for incompressible anisotropic nonlinearly elastic spheres. Zbl 0856.73024
Polignone, Debra A.; Horgan, Cornelius O.
28
1993
Phragmén-Lindelöf type results for harmonic functions with nonlinear boundary conditions. Zbl 0790.31002
Horgan, C. O.; Payne, L. E.
17
1993
Effects of material anisotropy and inhomogeneity on cavitation for composite incompressible anisotropic nonlinearly elastic spheres. Zbl 0817.73037
Polignone, Debra A.; Horgan, Cornelius O.
15
1993
On the asymptotic behavior of solutions of linear second-order boundary- value problems on a semi-infinite strip. Zbl 0819.35014
Horgan, C. O.; Payne, L. E.
10
1993
Strain energy density bounds for linear anisotropic elastic materials. Zbl 0773.73013
Mehrabadi, M. M.; Cowin, S. C.; Horgan, C. O.
10
1993
The eigenvalues for a self-equilibrated, semi-infinite, anisotropic elastic strip. Zbl 0775.73137
Crafter, E. C.; Heise, R. M.; Horgan, C. O.; Simmonds, J. G.
5
1993
Conservation properties for plane deformations of isotropic and anisotropic linearly elastic strips. Zbl 0839.73005
Miller, Kristin L.; Horgan, Cornelius O.
3
1993
Void nucleation and growth for compressible non-linearly elastic materials: An example. Zbl 0755.73026
Horgan, C. O.
20
1992
Axisymmetric finite anti-plane shear of compressible nonlinearly elastic circular tubes. Zbl 0755.73047
Polignone, Debra A.; Horgan, Cornelius O.
8
1992
A Saint-Venant principle for a theory of nonlinear plane elasticity. Zbl 0790.73014
Horgan, C. O.; Payne, L. E.
1
1992
Pure torsion of compressible nonlinearly elastic circular cylinders. Zbl 0751.73014
Polignone, Debra A.; Horgan, Cornelius O.
13
1991
Asymptotic analysis of an end-loaded, transversely isotropic, elastic, semi-infinite strip weak in shear. Zbl 0764.73043
Horgan, C. O.; Simmonds, J. G.
6
1991
Finite strain solutions for a compressible elastic solid. Zbl 0716.73037
Carroll, M. M.; Horgan, C. O.
21
1990
Lower bounds for free membrane and related eigenvalues. Zbl 0755.35081
Horgan, C. O.; Payne, L. E.
9
1990
On the asymptotic behavior of a minimal surface over a semi-infinite strip. Zbl 0717.49036
Horgan, C. O.; Siegel, D.
5
1990
On Saint-Venant’s principle in finite anti-plane shear: An energy approach. Zbl 0691.73002
Horgan, C. O.; Payne, L. E.
4
1990
Existence, uniqueness, and decay estimates for solutions in the nonlinear theory of elastic, edge-loaded, circular tubes. Zbl 0713.73038
Horgan, C. O.; Payne, L. E.; Simmonds, J. G.
1
1990
Decay estimates for the biharmonic equation with applications to Saint- Venant principles in plane elasticity and Stokes flows. Zbl 0692.35010
Horgan, C. O.
18
1989
Decay estimates for a class of nonlinear boundary value problems in two dimensions. Zbl 0678.35027
Horgan, C. O.; Payne, L. E.
17
1989
Void nucleation and growth for a class of incompressible nonlinearly elastic materials. Zbl 0703.73025
Chou-Wang, M.-S.; Horgan, C. O.
16
1989
Cavitation in nonlinear elastodynamics for neo-Hookean materials. Zbl 0694.73005
Chou-Wang, M.-S.; Horgan, C. O.
13
1989
...and 58 more Documents
all top 5

Cited by 1,004 Authors

78 Horgan, Cornelius Oliver
57 Quintanilla de Latorre, Ramón
32 Murphy, Jeremiah G.
26 Payne, Lawrence Edward
24 Saccomandi, Giuseppe
17 Chiriţă, Stan
16 Knops, Robin J.
14 Lin, Changhao
13 Song, Jong Chul
12 Cheng, Changjun
12 Wineman, Alan S.
11 Batra, Romesh C.
11 Destrade, Michel
11 Pence, Thomas J.
11 Schiavone, Peter
10 Goriely, Alain
10 Leseduarte, Mari Carme
9 Ren, Jiusheng
8 Ciarletta, Michele
8 Liu, Yan
8 Xiao, Heng
8 Yuan, Xuegang
7 Beatty, Millard F. jun.
7 D’Apice, Ciro
7 Potapenko, Stanislav
7 Rajagopal, Kumbakonam Ramamani
7 Roseman, Joseph J.
7 Sofonea, Mircea
7 Spector, Scott J.
7 Zhu, Zhengyou
6 Flavin, James N.
6 Li, Yuanfei
6 Lopez-Pamies, Oscar
6 Matei, Andaluzia Cristina
6 Sivaloganathan, Jeyabal
6 Wheeler, Lewis T.
6 Yin, Zhengnan
5 Abeyaratne, Rohan C.
5 Dhaliwal, Ranjit S.
5 Ecsedi, István
5 Mihai, L. Angela
5 Neff, Patrizio
5 Pachpatte, Baburao Govindrao
5 Rokne, Jon G.
5 Schaefer, Philip W.
5 Singh, Brij Mohan
5 Warne, Paul G.
5 Zenkour, Ashraf M.
4 Ahmed, S. Reaz
4 Anssari-Benam, Afshin
4 Axelsson, Axel Owe Holger
4 Breuer, Shlomo
4 deBotton, Gal
4 Demirkoparan, Hasan
4 Drozdov, Aleksey D.
4 Eraslan, Ahmet N.
4 Fernández, Jose Ramon
4 Harutyunyan, Davit
4 Iesan, Dorin
4 Knowles, James K.
4 Migórski, Stanisław
4 Miranville, Alain M.
4 Mukhopadhyay, Santwana
4 Ochal, Anna
4 Ogden, Raymond William
4 Polignone Warne, Debra
4 Repin, Sergeĭ Igorevich
4 Rubino, Samuele
4 Sarangi, Somnath
4 Shang, Xinchun
4 Zhang, Hongwu
3 Agoras, M.
3 Akis, Tolga
3 Ames, Karen A.
3 Amirat, Youcef Aït
3 Baksa, Attila
3 Bhattacharyya, Ranjan
3 Bofill, Francesc
3 Chacón Rebollo, Tomás
3 Chen, Tungyang
3 Cheviakov, Alexei F.
3 Costabel, Martin
3 Cowin, Stephen C.
3 Dauge, Monique
3 De Tommasi, Domenico
3 Dryden, John R.
3 Feng, Zhiqiang
3 Figiel, Łukasz
3 Fosdick, Roger L.
3 Gavrilyuk, Sergey L.
3 Gazzola, Filippo
3 Ghiba, Ionel-Dumitrel
3 Gómez Mármol, Macarena
3 Han, Weimin
3 Huang, Kefu
3 Jiang, Renjin
3 Kanner, Landon M.
3 Karátson, János
3 Kim, Chun Il
3 Kumar, Ajeet
...and 904 more Authors
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Cited in 151 Serials

121 Journal of Elasticity
87 Mathematics and Mechanics of Solids
59 International Journal of Engineering Science
43 Acta Mechanica
41 Journal of Mathematical Analysis and Applications
31 Journal of the Mechanics and Physics of Solids
28 ZAMP. Zeitschrift für angewandte Mathematik und Physik
25 European Journal of Mechanics. A. Solids
23 Archive for Rational Mechanics and Analysis
22 International Journal of Solids and Structures
22 Applied Mathematics and Mechanics. (English Edition)
19 Archive of Applied Mechanics
17 Computer Methods in Applied Mechanics and Engineering
17 Journal of Engineering Mathematics
16 Meccanica
14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
11 Applicable Analysis
11 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
10 Computers & Mathematics with Applications
10 Continuum Mechanics and Thermodynamics
10 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
9 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
8 Applied Mathematics Letters
7 Computational Mechanics
6 Mathematical Methods in the Applied Sciences
6 Applied Mathematics and Computation
6 Journal of Computational and Applied Mathematics
6 Journal of Differential Equations
6 Mechanics Research Communications
6 Mathematical and Computer Modelling
6 Acta Mechanica Sinica
6 Nonlinear Analysis. Theory, Methods & Applications
5 International Journal for Numerical Methods in Engineering
5 Quarterly of Applied Mathematics
5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 SIAM Journal on Mathematical Analysis
5 Calculus of Variations and Partial Differential Equations
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Applied Mathematical Modelling
4 Journal of Mathematical Sciences (New York)
4 Mathematical Problems in Engineering
3 Journal of Applied Mathematics and Mechanics
3 Journal of the Franklin Institute
3 Nonlinearity
3 Mathematics and Computers in Simulation
3 Numerische Mathematik
3 Zeitschrift für Analysis und ihre Anwendungen
3 Acta Applicandae Mathematicae
3 Applied Numerical Mathematics
3 Communications in Partial Differential Equations
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Abstract and Applied Analysis
3 Journal of Mathematical Fluid Mechanics
3 Nonlinear Analysis. Real World Applications
3 Boundary Value Problems
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Numerical Functional Analysis and Optimization
2 SIAM Journal on Numerical Analysis
2 Numerical Methods for Partial Differential Equations
2 Applications of Mathematics
2 Journal of Global Optimization
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 SIAM Journal on Applied Mathematics
2 Journal of Nonlinear Science
2 SIAM Journal on Scientific Computing
2 Communications in Numerical Methods in Engineering
2 International Applied Mechanics
2 Engineering Analysis with Boundary Elements
2 Journal of Shanghai University
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Communications in Nonlinear Science and Numerical Simulation
2 International Journal of Computational Methods
2 Applications and Applied Mathematics
2 International Journal for Computational Methods in Engineering Science and Mechanics
2 Journal of Theoretical Biology
2 AMM. Applied Mathematics and Mechanics. (English Edition)
2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Analysis Mathematica
1 Bulletin of the Australian Mathematical Society
1 Computers and Fluids
1 Communications in Mathematical Physics
1 Communications on Pure and Applied Mathematics
1 International Journal of Heat and Mass Transfer
1 Journal of Computational Physics
1 Periodica Mathematica Hungarica
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Mathematics of Computation
1 Bulletin of Mathematical Biology
1 Prikladnaya Matematika i Mekhanika
1 Soviet Applied Mechanics
1 Advances in Mathematics
1 Applied Mathematics and Optimization
1 Calcolo
1 Journal of Optimization Theory and Applications
1 Journal of Soviet Mathematics
1 Proceedings of the American Mathematical Society
1 Proceedings of the Japan Academy. Series A
1 Rendiconti del Seminario Matematico della Università di Padova
1 Ricerche di Matematica
1 Studies in Applied Mathematics
...and 51 more Serials
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Cited in 35 Fields

696 Mechanics of deformable solids (74-XX)
276 Partial differential equations (35-XX)
89 Fluid mechanics (76-XX)
56 Numerical analysis (65-XX)
39 Calculus of variations and optimal control; optimization (49-XX)
30 Classical thermodynamics, heat transfer (80-XX)
28 Biology and other natural sciences (92-XX)
23 Real functions (26-XX)
16 Ordinary differential equations (34-XX)
12 Statistical mechanics, structure of matter (82-XX)
11 Operator theory (47-XX)
9 Functional analysis (46-XX)
9 Differential geometry (53-XX)
7 History and biography (01-XX)
6 Integral equations (45-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Computer science (68-XX)
3 Topological groups, Lie groups (22-XX)
3 Special functions (33-XX)
3 Difference and functional equations (39-XX)
3 Mechanics of particles and systems (70-XX)
2 Functions of a complex variable (30-XX)
2 Potential theory (31-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Optics, electromagnetic theory (78-XX)
2 Geophysics (86-XX)
1 General and overarching topics; collections (00-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral transforms, operational calculus (44-XX)
1 Manifolds and cell complexes (57-XX)
1 Probability theory and stochastic processes (60-XX)
1 Relativity and gravitational theory (83-XX)
1 Operations research, mathematical programming (90-XX)
1 Information and communication theory, circuits (94-XX)

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