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Exact constructions in the (non-linear) planar theory of elasticity: from elastic crystals to nematic elastomers

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In this article we deduce necessary and sufficient conditions for the presence of `Conti-type', highly symmetric, exactly-stress free constructions in the geometrically non-linear, planar $n$-well problem, generalising results of [CKZ17]. Passing to the limit $n\rightarrow \infty$, this allows...

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Main Authors: Cesana, Pierluigi (Author) , Della Porta, Francesco (Author) , Rüland, Angkana (Author) , Zillinger, Christian (Author) , Zwicknagl, Barbara (Author)
Format: Article (Journal) Chapter/Article
Language:English
Published: 18 Apr 2019
In: Arxiv
Year: 2019, Pages: 1-49
Online Access:Verlag, lizenzpflichtig, Volltext: http://arxiv.org/abs/1904.08820
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Author Notes:Pierluigi Cesana, Francesco Della Porta, Angkana Rüland, Christian Zillinger, and Barbara Zwicknagl
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Exact constructions in the (non-linear) planar theory of elasticity: from elastic crystals to nematic elastomers by Cesana, Pierluigi (Author) , Della Porta, Francesco (Author) , Rüland, Angkana (Author) , Zillinger, Christian (Author) , Zwicknagl, Barbara (Author) ,


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