Differential and Integral Equations

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

H. T. Banks, Gabriella A. Pintér, and Laura K. Potter

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Abstract

We consider a class of dynamic models for elastomers involving nonlinear viscoelastic (hysteresis) as well as nonlinear finite elastic components of the constitutive laws. Existence and uniqueness results are presented along with sample numerical fits to experimental data to demonstrate the efficacy of the models.

Article information

Source
Differential Integral Equations Volume 13, Number 7-9 (2000), 1001-1024.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356061207

Mathematical Reviews number (MathSciNet)
MR1775243

Zentralblatt MATH identifier
0994.74011

Subjects
Primary: 74D10: Nonlinear constitutive equations
Secondary: 35Q72 45K05: Integro-partial differential equations [See also 34K30, 35R09, 35R10, 47G20] 74H20: Existence of solutions

Citation

Banks, H. T.; Pintér, Gabriella A.; Potter, Laura K. Existence of unique weak solutions to a dynamical system for nonlinear elastomers with hysteresis. Differential Integral Equations 13 (2000), no. 7-9, 1001--1024. https://projecteuclid.org/euclid.die/1356061207.


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