112 citations · 1.2k across the 64 of their papers we have counts for
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The Eshelby stress tensor, angular momentum tensor and scaling flux in micropolar elasticity
Markus Lazar, Helmut O. K. Kirchner
The (static) energy momentum tensor, angular momentum tensor and scaling flux vector of micropolar elasticity are derived within the framework of Noether's theorem on variational p…
On microcontinuum field theories: the Eshelby stress tensor and incompatibility conditions
Markus Lazar, Gerard A. Maugin
We investigate linear theories of incompatible micromorphic elasticity, incompatible microstretch elasticity, incompatible micropolar elasticity and the incompatible dilatation the…
Dislocation Field Theory in 2D: Application to Graphene
Markus Lazar
A two-dimensional (2D) dislocation continuum theory is being introduced. The present theory adds elastic rotation, dislocation density, and background stress to the classical energ…
Atomistically enabled nonsingular anisotropic elastic representation of near-core dislocation stress fields in -iron
Dariush Seif, Giacomo Po, Matous Mrovec +3
The stress fields of dislocations predicted by classical elasticity are known to be unrealistically large approaching the dislocation core, due to the singular nature of the theory…
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
Yves-Patrick Pellegrini, Markus Lazar
The two-dimensional elastodynamic Green tensor is the primary building block of solutions of linear elasticity problems dealing with nonuniformly moving rectilinear line sources, s…