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Carnegie Mellon Center for Nonlinear Analysis
Microstructure in Solids as a Curve of Maximal Slope


Yasemin Sengul
University of Coimbra
Center for Mathematics

Abstract: We consider the problem of quasistatic nonlinear viscoelasticity of strain-rate type as a model for the dynamics of microstructure in solids. Our goal is to develop a comprehensive theory in three-dimensions while ensuring the requirement of frame-indifference for the stress. We follow a time-discretization method in the context of gradient flows based on the idea of composition of functions. We get an existence theory under the assumption of the convexity of the stored-energy function.