Mathematics Colloquia and Seminars

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Hyperelastic constitutive models describe a wide range of materials. Examples include biomechanical soft tissues like muscle, tendon, skin etc. Elastoplastic materials consisting of a hyperelastic constitutive model combined with a notion of stress constraint (or feasible stress region) describe an even wider range of materials. A very interesting class of these models arises from frictional contact considerations. Examples include granular materials like sand and snow. I will discuss recent progress in using the Material Point Method to discretize these equations and areas for future work.