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math-ph2019
Reflections on the structural and constitutive approaches to the theory of defects
Marcelo Epstein
An attempt is made to bring into harmony two of the paradigms commonly used in the theory of continuous distributions of defects. It is shown that the common differential geometric…
math-ph2019★ 6 cited
Limits of distributed dislocations in geometric and constitutive paradigms
Marcelo Epstein, Raz Kupferman, Cy Maor
The 1950's foundational literature on rational mechanics exhibits two somewhat distinct paradigms to the representation of continuous distributions of defects in solids. In one par…