Rate-independent processes with linear growth energies and time-dependent boundary conditions

M Kruzik; Johannes Zimmer

doi:10.3934/dcdss.2012.5.591

Rate-independent processes with linear growth energies and time-dependent boundary conditions

M Kruzik, Johannes Zimmer

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Abstract

A rate-independent evolution problem is considered for which the stored energy density depends on the gradient of the displacement. The stored energy density does not have to be quasiconvex and is assumed to exhibit linear growth at infinity; no further assumptions are made on the behaviour at infinity. We analyse an evolutionary process with positively 1-homogeneous dissipation and time-dependent Dirichlet boundary conditions.

Original language	English
Pages (from-to)	591-604
Number of pages	14
Journal	Discrete and Continuous Dynamical Systems Series S
Volume	5
Issue number	3
DOIs	https://doi.org/10.3934/dcdss.2012.5.591
Publication status	Published - Jun 2012

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10.3934/dcdss.2012.5.591

Zimmer_DCSS-S_2012_5_3_591.pdf

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title = "Rate-independent processes with linear growth energies and time-dependent boundary conditions",

abstract = "A rate-independent evolution problem is considered for which the stored energy density depends on the gradient of the displacement. The stored energy density does not have to be quasiconvex and is assumed to exhibit linear growth at infinity; no further assumptions are made on the behaviour at infinity. We analyse an evolutionary process with positively 1-homogeneous dissipation and time-dependent Dirichlet boundary conditions.",

author = "M Kruzik and Johannes Zimmer",

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AU - Zimmer, Johannes

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AB - A rate-independent evolution problem is considered for which the stored energy density depends on the gradient of the displacement. The stored energy density does not have to be quasiconvex and is assumed to exhibit linear growth at infinity; no further assumptions are made on the behaviour at infinity. We analyse an evolutionary process with positively 1-homogeneous dissipation and time-dependent Dirichlet boundary conditions.

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UR - http://dx.doi.org/10.3934/dcdss.2012.5.591

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JO - Discrete and Continuous Dynamical Systems Series S

JF - Discrete and Continuous Dynamical Systems Series S

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Rate-independent processes with linear growth energies and time-dependent boundary conditions

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MATHEMATICAL ANALYSIS OF OF THE STATIC AND DYNAMIC BEHAVIOUR OF MATERIALS - ADVANCED RESEARCH FELLOWSHIP

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Rate-independent processes with linear growth energies and time-dependent boundary conditions

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MATHEMATICAL ANALYSIS OF OF THE STATIC AND DYNAMIC BEHAVIOUR OF MATERIALS - ADVANCED RESEARCH FELLOWSHIP

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