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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 PalombaroStarting 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.
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Publication status
- Published
Journal
Calculus of Variations and Partial Differential EquationsISSN
0944-2669Publisher
Springer VerlagExternal DOI
Issue
3-4Volume
48Page range
315-335Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes
Legacy Posted Date
2013-09-17Usage metrics
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