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A Dimension Reduction Result in the Framework of Structured Deformations

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Abstract

Structured deformations provide a model to non-classical deformations of continua suitable for the description of deformations of materials whose kinematics requires analysis at both the macroscopic and microscopic levels. In this work we apply dimension reduction techniques in order to derive models for thin structures in the framework of structured deformations of continua.

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Acknowledgements

We would like to thank David Owen for many helpful discussions. The research of J. Matias and P. M. Santos was partially supported by the Fundação para a Ciência e a Tecnologia (Portuguese Foundation for Science and Technology) through CAMGSD and the project UTA-CMU/MAT/0005/2009.

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  1. Centro de Análise Matemática, Geometria e Sistemas Dinâmicos, Departamento de Matemática, Instituto Superior Técnico, Av. Rovisco Pais, 1, 1049-001, Lisboa, Portugal

    José Matias & Pedro Miguel Santos

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  1. José Matias
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  2. Pedro Miguel Santos
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Correspondence to Pedro Miguel Santos.

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Matias, J., Santos, P.M. A Dimension Reduction Result in the Framework of Structured Deformations. Appl Math Optim 69, 459–485 (2014). https://doi.org/10.1007/s00245-013-9229-x

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