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On Fluids and solids described by implicit constitutive theories

Kumbakonam Rajagopal (Texas A&M University)

SES Medal Symposium in honor of D.J. Steigmann

Wed 10:45 - 12:15

MacMillan 115

In this talk I will discuss implicit constitutive theories to describe the response of fluids and solids. Such models seem most appropriate for describing fluids whose material moduli depend on the pressure and shear rate. Implicit theories for elastic solids include as special subclasses Cauchy and Green elastic solids and thus provide a much larger class of models within which one can describe the elastic response of solids. Moreover, the linearization of such models leads to models that are well suited to describe the fracturing of elastic solids.