## Lazar, Markus

Compute Distance To:
 Author ID: lazar.markus Published as: Lazar, Markus; Lazar, M.
 Documents Indexed: 61 Publications since 1999 Co-Authors: 18 Co-Authors with 37 Joint Publications 358 Co-Co-Authors
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### Co-Authors

 22 single-authored 8 Maugin, Gérard A. 6 Po, Giacomo 5 Agiasofitou, Eleni K. 4 Geyer, Bodo 4 Kirchner, Helmut O. K. 3 Aifantis, Elias C. 3 Anastassiadis, Charalampos 3 Pellegrini, Yves-Patrick 2 Ghoniem, Nasr M. 2 Robaschik, Dieter 1 Cui, Yinan 1 Ghiba, Ionel-Dumitrel 1 Hehl, Friedrich W. 1 Jarre, Florian 1 Jin, Congrui 1 Leck, Jakob 1 Madeo, Angela 1 Merches, Ioan 1 Neff, Patrizio 1 Schlickeiser, Reinhard 1 Seif, Dariush
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### Serials

 7 International Journal of Solids and Structures 6 Physics Letters. A 6 Wave Motion 5 Journal of the Mechanics and Physics of Solids 4 International Journal of Engineering Science 4 Journal of Elasticity 3 Nuclear Physics. B 3 Annalen der Physik. 8th Series 2 Acta Mechanica 2 Physics Letters. B 2 Mechanics Research Communications 2 Journal of Physics A: Mathematical and General 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Quarterly Journal of Mechanics and Applied Mathematics 1 Annals of Physics 1 Mathematics and Mechanics of Solids 1 European Journal of Mechanics. A. Solids 1 Optimization and Engineering 1 Physica Scripta 1 Comptes Rendus. Mécanique. Académie des Sciences, Paris 1 Foundations of Physics
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### Fields

 44 Mechanics of deformable solids (74-XX) 11 Quantum theory (81-XX) 6 Optics, electromagnetic theory (78-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 Fluid mechanics (76-XX) 3 Relativity and gravitational theory (83-XX) 2 Partial differential equations (35-XX) 2 Mechanics of particles and systems (70-XX) 1 History and biography (01-XX) 1 Numerical analysis (65-XX) 1 Operations research, mathematical programming (90-XX)

### Citations contained in zbMATH Open

45 Publications have been cited 396 times in 219 Documents Cited by Year
Nonsingular stress and strain fields of dislocations and disclinations in first strain gradient elasticity. Zbl 1211.74040
Lazar, Markus; Maugin, Gérard A.
2005
Dislocations in second strain gradient elasticity. Zbl 1120.74343
Lazar, Markus; Maugin, Gérard A.; Aifantis, Elias C.
2006
On a theory of nonlocal elasticity of bi-Helmholtz type and some applications. Zbl 1120.74342
Lazar, Markus; Maugin, Gérard A.; Aifantis, Elias C.
2006
The relaxed linear micromorphic continuum: well-posedness of the static problem and relations to the gauge theory of dislocations. Zbl 1310.74037
Neff, P.; Ghiba, I. D.; Lazar, M.; Madeo, A.
2015
Dislocations in gradient elasticity revisited. Zbl 1149.74309
Lazar, Markus; Maugin, Gérard A.
2006
Singularity-free dislocation dynamics with strain gradient elasticity. Zbl 1328.74016
Po, Giacomo; Lazar, Markus; Seif, Dariush; Ghoniem, Nasr
2014
A note on line forces in gradient elasticity. Zbl 1192.74037
Lazar, Markus; Maugin, Gérard A.
2006
An elastoplastic theory of dislocations as a physical field theory with torsion. Zbl 1035.74014
Lazar, Markus
2002
Cartan’s spiral staircase in physics and, in particular, in the gauge theory of dislocations. Zbl 1216.83043
Lazar, Markus; Hehl, Friedrich W.
2010
Screw dislocation in nonlocal anisotropic elasticity. Zbl 1423.74099
Lazar, Markus; Agiasofitou, Eleni
2011
The non-singular Green tensor of Mindlin’s anisotropic gradient elasticity with separable weak non-locality. Zbl 1370.74033
Lazar, Markus; Po, Giacomo
2015
Conservation and balance laws in linear elasticity of grade three. Zbl 1159.74329
Agiasofitou, E. K.; Lazar, M.
2009
The Eshelby stress tensor, angular momentum tensor and dilatation flux in gradient elasticity. Zbl 1121.74008
Lazar, Markus; Kirchner, Helmut O. K.
2007
Dislocation theory as a 3-dimensional translation gauge theory. Zbl 0966.74012
Lazar, Markus
2000
The gauge theory of dislocations: a uniformly moving screw dislocation. Zbl 1186.74090
Lazar, Markus
2009
On the fundamentals of the three-dimensional translation gauge theory of dislocations. Zbl 1269.74011
Lazar, M.
2011
Lie point symmetries and conservation laws in microstretch and micromorphic elasticity. Zbl 1213.74041
2006
The non-singular Green tensor of gradient anisotropic elasticity of Helmholtz type. Zbl 1406.74085
Lazar, Markus; Po, Giacomo
2015
On the screw dislocation in a functionally graded material. Zbl 1192.74284
Lazar, Markus
2007
Defects in gradient micropolar elasticity. I: Screw dislocation. Zbl 1115.74005
Lazar, Markus; Maugin, Gérard A.
2004
A nonsingular solution of the edge dislocation in the gauge theory of dislocations. Zbl 1042.74003
Lazar, Markus
2003
The solid angle and the Burgers formula in the theory of gradient elasticity: line integral representation. Zbl 1331.74029
Lazar, Markus; Po, Giacomo
2014
Lie point symmetries, conservation and balance laws in linear gradient elastodynamics. Zbl 1115.74026
2007
The Eshelby stress tensor, angular momentum tensor and scaling flux in micropolar elasticity. Zbl 1166.74313
Lazar, Markus; Kirchner, Helmut O. K.
2007
Peach-Koehler forces within the theory of nonlocal elasticity. Zbl 1423.74083
Lazar, Markus
2005
On conservation and balance laws in micromorphic elastodynamics. Zbl 1115.74025
Lazar, Markus
2007
Cosserat (micropolar) elasticity in Stroh form. Zbl 1119.74306
Lazar, Markus; Kirchner, Helmut O. K.
2005
The gauge theory of dislocations: a nonuniformly moving screw dislocation. Zbl 1248.82033
Lazar, Markus
2010
On the gradient of the Green tensor in two-dimensional elastodynamic problems, and related integrals: distributional approach and regularization, with application to nonuniformly moving sources. Zbl 07064018
Pellegrini, Yves-Patrick; Lazar, Markus
2015
Defects in gradient micropolar elasticity. II: Edge dislocation and wedge disclination. Zbl 1115.74006
Lazar, Markus; Maugin, Gérard A.
2004
Twist decomposition of nonlocal light-cone operators. II: General tensors of 2nd rank. Zbl 0984.81178
Geyer, Bodo; Lazar, Markus
2000
Screw dislocations in the field theory of elastoplasticity. Zbl 1014.74010
Lazar, Markus
2002
Is incompressible elasticity a conformal field theory? Zbl 1133.74006
2008
On the Higgs mechanism and stress functions in the translational gauge theory of dislocations. Zbl 1236.82121
Lazar, Markus
2009
Three-dimensional nonlocal anisotropic elasticity: a generalized continuum theory of Ångström-mechanics. Zbl 1435.74009
Lazar, Markus; Agiasofitou, Eleni; Po, Giacomo
2020
On retardation, radiation and Liénard-Wiechert type potentials in electrodynamics and elastodynamics. Zbl 1454.74064
Lazar, Markus
2013
The elastodynamic Liénard-Wiechert potentials and elastic fields of non-uniformly moving point and line forces. Zbl 1360.35320
Lazar, Markus
2012
Calibration by optimization without using derivatives. Zbl 1364.90408
Lazar, Markus; Jarre, Florian
2016
Twist decomposition of nonlocal light-ray operators and harmonic tensor functions. Zbl 1037.81596
Geyer, B.; Lazar, M.
2000
A note on Wandzura-Wilczek relations. Zbl 0971.81177
Ball, P.; Lazar, M.
2001
On the nonlinear continuum theory of dislocations: a gauge field theoretical approach. Zbl 1304.74006
Agiasofitou, Eleni; Lazar, Markus
2010
Dislocations in generalized continuum mechanics. Zbl 1396.74034
Lazar, Markus
2010
On the correspondence between a screw dislocation in gradient elasticity and a regularized vortex. Zbl 1161.74320
Lazar, Markus
2004
Decomposition of non-local light-cone operators into harmonic operators of definite twist. Zbl 0957.81091
Geyer, Bodo; Lazar, Markus; Robaschik, Dieter
1999
A screw dislocation in a functionally graded material using the translation gauge theory of dislocations. Zbl 1236.74014
Lazar, Markus
2011
Three-dimensional nonlocal anisotropic elasticity: a generalized continuum theory of Ångström-mechanics. Zbl 1435.74009
Lazar, Markus; Agiasofitou, Eleni; Po, Giacomo
2020
Calibration by optimization without using derivatives. Zbl 1364.90408
Lazar, Markus; Jarre, Florian
2016
The relaxed linear micromorphic continuum: well-posedness of the static problem and relations to the gauge theory of dislocations. Zbl 1310.74037
Neff, P.; Ghiba, I. D.; Lazar, M.; Madeo, A.
2015
The non-singular Green tensor of Mindlin’s anisotropic gradient elasticity with separable weak non-locality. Zbl 1370.74033
Lazar, Markus; Po, Giacomo
2015
The non-singular Green tensor of gradient anisotropic elasticity of Helmholtz type. Zbl 1406.74085
Lazar, Markus; Po, Giacomo
2015
On the gradient of the Green tensor in two-dimensional elastodynamic problems, and related integrals: distributional approach and regularization, with application to nonuniformly moving sources. Zbl 07064018
Pellegrini, Yves-Patrick; Lazar, Markus
2015
Singularity-free dislocation dynamics with strain gradient elasticity. Zbl 1328.74016
Po, Giacomo; Lazar, Markus; Seif, Dariush; Ghoniem, Nasr
2014
The solid angle and the Burgers formula in the theory of gradient elasticity: line integral representation. Zbl 1331.74029
Lazar, Markus; Po, Giacomo
2014
On retardation, radiation and Liénard-Wiechert type potentials in electrodynamics and elastodynamics. Zbl 1454.74064
Lazar, Markus
2013
The elastodynamic Liénard-Wiechert potentials and elastic fields of non-uniformly moving point and line forces. Zbl 1360.35320
Lazar, Markus
2012
Screw dislocation in nonlocal anisotropic elasticity. Zbl 1423.74099
Lazar, Markus; Agiasofitou, Eleni
2011
On the fundamentals of the three-dimensional translation gauge theory of dislocations. Zbl 1269.74011
Lazar, M.
2011
A screw dislocation in a functionally graded material using the translation gauge theory of dislocations. Zbl 1236.74014
Lazar, Markus
2011
Cartan’s spiral staircase in physics and, in particular, in the gauge theory of dislocations. Zbl 1216.83043
Lazar, Markus; Hehl, Friedrich W.
2010
The gauge theory of dislocations: a nonuniformly moving screw dislocation. Zbl 1248.82033
Lazar, Markus
2010
On the nonlinear continuum theory of dislocations: a gauge field theoretical approach. Zbl 1304.74006
Agiasofitou, Eleni; Lazar, Markus
2010
Dislocations in generalized continuum mechanics. Zbl 1396.74034
Lazar, Markus
2010
Conservation and balance laws in linear elasticity of grade three. Zbl 1159.74329
Agiasofitou, E. K.; Lazar, M.
2009
The gauge theory of dislocations: a uniformly moving screw dislocation. Zbl 1186.74090
Lazar, Markus
2009
On the Higgs mechanism and stress functions in the translational gauge theory of dislocations. Zbl 1236.82121
Lazar, Markus
2009
Is incompressible elasticity a conformal field theory? Zbl 1133.74006
2008
The Eshelby stress tensor, angular momentum tensor and dilatation flux in gradient elasticity. Zbl 1121.74008
Lazar, Markus; Kirchner, Helmut O. K.
2007
On the screw dislocation in a functionally graded material. Zbl 1192.74284
Lazar, Markus
2007
Lie point symmetries, conservation and balance laws in linear gradient elastodynamics. Zbl 1115.74026
2007
The Eshelby stress tensor, angular momentum tensor and scaling flux in micropolar elasticity. Zbl 1166.74313
Lazar, Markus; Kirchner, Helmut O. K.
2007
On conservation and balance laws in micromorphic elastodynamics. Zbl 1115.74025
Lazar, Markus
2007
Dislocations in second strain gradient elasticity. Zbl 1120.74343
Lazar, Markus; Maugin, Gérard A.; Aifantis, Elias C.
2006
On a theory of nonlocal elasticity of bi-Helmholtz type and some applications. Zbl 1120.74342
Lazar, Markus; Maugin, Gérard A.; Aifantis, Elias C.
2006
Dislocations in gradient elasticity revisited. Zbl 1149.74309
Lazar, Markus; Maugin, Gérard A.
2006
A note on line forces in gradient elasticity. Zbl 1192.74037
Lazar, Markus; Maugin, Gérard A.
2006
Lie point symmetries and conservation laws in microstretch and micromorphic elasticity. Zbl 1213.74041
2006
Nonsingular stress and strain fields of dislocations and disclinations in first strain gradient elasticity. Zbl 1211.74040
Lazar, Markus; Maugin, Gérard A.
2005
Peach-Koehler forces within the theory of nonlocal elasticity. Zbl 1423.74083
Lazar, Markus
2005
Cosserat (micropolar) elasticity in Stroh form. Zbl 1119.74306
Lazar, Markus; Kirchner, Helmut O. K.
2005
Defects in gradient micropolar elasticity. I: Screw dislocation. Zbl 1115.74005
Lazar, Markus; Maugin, Gérard A.
2004
Defects in gradient micropolar elasticity. II: Edge dislocation and wedge disclination. Zbl 1115.74006
Lazar, Markus; Maugin, Gérard A.
2004
On the correspondence between a screw dislocation in gradient elasticity and a regularized vortex. Zbl 1161.74320
Lazar, Markus
2004
A nonsingular solution of the edge dislocation in the gauge theory of dislocations. Zbl 1042.74003
Lazar, Markus
2003
An elastoplastic theory of dislocations as a physical field theory with torsion. Zbl 1035.74014
Lazar, Markus
2002
Screw dislocations in the field theory of elastoplasticity. Zbl 1014.74010
Lazar, Markus
2002
A note on Wandzura-Wilczek relations. Zbl 0971.81177
Ball, P.; Lazar, M.
2001
Dislocation theory as a 3-dimensional translation gauge theory. Zbl 0966.74012
Lazar, Markus
2000
Twist decomposition of nonlocal light-cone operators. II: General tensors of 2nd rank. Zbl 0984.81178
Geyer, Bodo; Lazar, Markus
2000
Twist decomposition of nonlocal light-ray operators and harmonic tensor functions. Zbl 1037.81596
Geyer, B.; Lazar, M.
2000
Decomposition of non-local light-cone operators into harmonic operators of definite twist. Zbl 0957.81091
Geyer, Bodo; Lazar, Markus; Robaschik, Dieter
1999
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### Cited by 290 Authors

 30 Lazar, Markus 10 Maugin, Gérard A. 8 Neff, Patrizio 7 Georgiadis, H. G. 7 Po, Giacomo 6 Aifantis, Elias C. 6 Niiranen, Jarkko 5 Agiasofitou, Eleni K. 5 Gourgiotis, Panos A. 5 Khakalo, Sergei 5 Madeo, Angela 5 Michelitsch, Thomas M. 5 Van Goethem, Nicolas 4 Balobanov, Viacheslav 4 dell’Isola, Francesco 4 Eptaimeros, Konstantinos G. 4 Koutsoumaris, Constantinos Chr. 4 Mousavi, Seyed Mahmoud 4 Pellegrini, Yves-Patrick 4 Polizzotto, Castrenze 3 Anagnostou, D. S. 3 Beheshti, Alireza 3 Böhmer, Christian G. 3 Challamel, Noël 3 Collet, Bernard A. 3 Faghidian, S. Ali 3 Furtado, Claudio 3 Ghiba, Ionel-Dumitrel 3 Jeong, Jena 3 Lazopoulos, Anastassios K. 3 Lazopoulos, Konstantinos A. 3 Lubarda, Vlado A. 3 Münch, Ingo 3 Reddy, Junuthula Narasimha 3 Shodja, Hossein M. 3 Steinmann, Paul 3 Wang, Chien-Ming 3 Wang, Xu 2 Acharya, Amit 2 Amstutz, Samuel 2 Berdichevskiĭ, Viktor L’vovich 2 Bertram, Albrecht 2 Bian, Peiliang 2 Darban, Hossein 2 de Lima Ribeiro, C. A. 2 de M. Carvalho, Alexandre M. 2 Derogar, Shahram 2 Fabbrocino, Francesco 2 Forest, Samuel 2 Ghoniem, Nasr M. 2 Grammenoudis, Paschalis 2 Gutkin, Mikhail Yu. 2 Janevski, Goran 2 Kiendl, Josef 2 Le Marrec, Loïc 2 Luciano, Raimondo 2 Magueijo, João 2 Markenscoff, Xanthippi 2 Nicolleau, Franck C. G. A. 2 Nowakowski, Andrzej F. 2 Paavola, Juha 2 Pan, Ernian 2 Papargyri-Beskou, Sofia 2 Pavlović, Ivan R. 2 Pavlović, Ratko G. 2 Qing, Hai 2 Rahman, Mujibur 2 Ramézani, Hamidréza 2 Reiher, Jörg Christian 2 Roubíček, Tomáš 2 Rousseau, Martine 2 Sansour, Carlo 2 Sciarra, Giulio 2 Skatulla, Sebastian 2 Tsakmakis, Ch. 2 Tsamasphyros, George J. 2 Vidoli, Stefano 2 Yaghoubi, Saba Tahaei 2 Zhang, Zhen 1 Admal, Nikhil Chandra 1 Alexander, Stephon H. S. 1 Alvarez, Olivier 1 Ambrosi, Davide 1 Amjad, Umar 1 Anastassiadis, Charalampos 1 Anthoine, Armelle 1 Aravas, Nikolaos 1 Askes, Harm 1 Aslan, Ozgur 1 Atai, Ali Asghar 1 Avdeichik, E. 1 Awrejcewicz, Jan 1 Azizi, Babak 1 Baghestani, A. M. 1 Banerjee, Sourav 1 Barrow, John D. 1 Bayrak, Vural 1 Beskos, Dimitri E. 1 Bezerra, Valdir B. 1 Bielak, Jacobo ...and 190 more Authors
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### Cited in 51 Serials

 25 European Journal of Mechanics. A. Solids 22 Journal of the Mechanics and Physics of Solids 18 Acta Mechanica 17 International Journal of Engineering Science 16 Mathematics and Mechanics of Solids 13 Archive of Applied Mechanics 11 International Journal of Solids and Structures 11 Journal of Elasticity 7 Wave Motion 7 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 5 Computer Methods in Applied Mechanics and Engineering 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Continuum Mechanics and Thermodynamics 3 Physics Letters. A 3 Mechanics Research Communications 3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Journal of High Energy Physics 2 Archive for Rational Mechanics and Analysis 2 Journal of Mathematical Physics 2 Meccanica 2 Engineering Analysis with Boundary Elements 2 Foundations of Physics 2 Discrete and Continuous Dynamical Systems. Series S 1 Modern Physics Letters A 1 International Journal of Modern Physics A 1 Classical and Quantum Gravity 1 Nuclear Physics. B 1 Physics Letters. B 1 Journal of Differential Equations 1 Quarterly of Applied Mathematics 1 Applied Numerical Mathematics 1 Computational Mechanics 1 European Journal of Applied Mathematics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Annals of Physics 1 Applied Mathematical Modelling 1 Historia Mathematica 1 International Journal of Modern Physics D 1 Calculus of Variations and Partial Differential Equations 1 Advances in Applied Clifford Algebras 1 Matematychni Metody ta Fizyko-Mekhanichni Polya 1 Mathematical Problems in Engineering 1 Optimization Methods & Software 1 Methodology and Computing in Applied Probability 1 Acta Numerica 1 GAMM-Mitteilungen 1 Proceedings of the Steklov Institute of Mathematics 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Journal of Siberian Federal University. Mathematics & Physics
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### Cited in 29 Fields

 191 Mechanics of deformable solids (74-XX) 13 Partial differential equations (35-XX) 12 Statistical mechanics, structure of matter (82-XX) 11 Quantum theory (81-XX) 10 Fluid mechanics (76-XX) 9 Numerical analysis (65-XX) 8 Differential geometry (53-XX) 7 Relativity and gravitational theory (83-XX) 4 Optics, electromagnetic theory (78-XX) 3 Mechanics of particles and systems (70-XX) 3 Biology and other natural sciences (92-XX) 2 History and biography (01-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Operations research, mathematical programming (90-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)