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Existence of unique weak solutions to a dynamical system for nonlinear elastomers with hysteresis

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Publication:5933797
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zbMath0994.74011MaRDI QIDQ5933797

Laura K. Potter, Gabriella A. Pintér, Harvey Thomas Banks

Publication date: 14 June 2001

Published in: Differential and Integral Equations (Search for Journal in Brave)


zbMATH Keywords

hysteresisexistenceuniquenessweak solutionswell-posednessnonlinear elasticitylarge deformationfilled rubber-like elastomersfinite strainsnonlinear viscoelasticity


Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Nonlinear constitutive equations for materials with memory (74D10) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25)


Related Items (2)

A molecular based model for polymer viscoelasticity: intra- and inter-molecular variability ⋮ Well-posedness results for models of elastomers




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