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We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
Existence of minimizers for a polyconvex energy in a crystal with dislocations
Stefan Müller and Mariapia PalombaroAbstract
We provide existence theorems in nonlinear elasticity for minimum problems modeling the deformations of a crystal with a given dislocation. A key technical difficulty is that due to the presence of a the dislocation the elastic deformation gradient cannot be in
- Received:
- 21.02.07
- Published:
- 21.02.07
- MSC Codes:
- 74N05, 58A25, 74B20, 49J45, 46E40
- Keywords:
- Crystals, dislocations, currents, nonlinear elasticity