Gradient Theory for Plasticity via Homogenization of Discrete Dislocations

Adriana Garroni
Department of Mathematics
University of Rome ``La Sapienza"
Rome, Italy
garroni@mat.uniroma1.it

Giovanni Leoni
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213
giovanni@andrew.cmu.edu

Marcello Ponsiglione
Department of Mathematics
University of Rome ``La Sapienza"
Rome, Italy
ponsigli@mat.uniroma1.it

Abstract: In this paper, we deduce a macroscopic strain gradient theory for prlasticity from a model of discrete dislocations.

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