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Bounds for effective strains of geometrically linear elastic multiwell model

journal contribution
posted on 2023-06-08, 05:44 authored by Qi Tang, Kewei Zhang
We give a direct estimate for the quasiconvex hull Q(e) (K) on linear strains generated by a finite set of linear strains K subset of M-s(3) of symmetric matrices. The problem is directly related to the microstructure modelled by the multiwell problem and its corresponding macroscopic effect. We bound the quasiconvex envelope Q(e) dist(e(X), K) near an exposed edge of the convex hull C(K) that does not have compatible connections. Our bounds depend on the weak type-(1, 1) estimate for certain singular integral operators and the eometric properties of the exposed edge

History

Publication status

  • Published

Journal

Journal of Mathematical Analysis and Applications

ISSN

0022-247X

Publisher

Elsevier

Issue

2

Volume

339

Page range

1264-1276

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

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