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An approximation theorem for sequences of linear strains and its applications

journal contribution
posted on 2023-06-07, 21:11 authored by Kewei Zhang
We establish an approximation theorem for a sequence of linear elastic strains approaching a compact set in L 1 by the sequence of linear strains of mapping bounded in Sobolev space W 1,p . We apply this result to establish equalities for semiconvex envelopes for functions defined on linear strains via a construction of quasiconvex functions with linear growth.

History

Publication status

  • Published

Journal

ESAIM: Control, Optimisation and Calculus of Variations

ISSN

1292-8119

Publisher

EDP Sciences

Issue

2

Volume

10

Page range

224-242

Pages

19.0

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

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