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Well-posedness Results for Models of Elastomers

โœ Scribed by Azmy S. Ackleh; H.T. Banks; Gabriella A. Pinter

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
132 KB
Volume
268
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

Existence and uniqueness of weak solutions are shown for different models of the dynamic behavior of elastomers. The models are based on a nonlinear stressstrain relationship (satisfying a locally Lipschitz and affine domination property) and incorporate hysteretic effects as well. The results provide alternatives to previous theories that required monotonicity assumptions on the nonlinearities. Results with a nonlinear constitutive law and nonlinear internal dynamics are presented for the first time. ๏ฃฉ 2002 Elsevier Science (USA)

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