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Derivation of a rod theory for biphase materials with dislocations at the interface

journal contribution
posted on 2023-06-08, 15:46 authored by Stefan Müller, Mariapia Palombaro
Starting from three-dimensional elasticity we derive a rod theory for biphase materials with a prescribed dislocation at the interface. The stored energy density is assumed to be non-negative and to vanish on a set consisting of two copies of SO(3). First, we rigorously justify the assumption of dislocations at the interface. Then, we consider the typical scaling of multiphase materials and we perform an asymptotic study of the rescaled energy, as the diameter of the rod goes to zero, in the framework of G-convergence.

History

Publication status

  • Published

Journal

Calculus of Variations and Partial Differential Equations

ISSN

0944-2669

Publisher

Springer Verlag

Issue

3-4

Volume

48

Page range

315-335

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2013-09-17

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