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From nonlinear to linearized elasticity via G-convergence: the case of multiwell energies satisfying weak coercivity conditions

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posted on 2023-06-09, 04:53 authored by V Agostiniani, T Blass, Konstantinos KoumatosKonstantinos Koumatos
Linearized elasticity models are derived, via G-convergence, from suitably rescaled non- linear energies when the corresponding energy densities have a multiwell structure and satisfy a weak coercivity condition, in the sense that the typical quadratic bound from below is replaced by a weaker p bound, 1 < p < 2, away from the wells. This study is motivated by, and our results are applied to, energies arising in the modeling of nematic elastomers.

History

Publication status

  • Published

File Version

  • Accepted version

Journal

Mathematical Models and Methods in Applied Sciences

ISSN

0218-2025

Publisher

World Scientific Publishing

Issue

1

Volume

25

Page range

1-38

Department affiliated with

  • Mathematics Publications

Research groups affiliated with

  • Analysis and Partial Differential Equations Research Group Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2017-01-24

First Open Access (FOA) Date

2017-01-24

First Compliant Deposit (FCD) Date

2017-01-24

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