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Session 23. Nonlinear Evolution Equations and their Applications
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Analysis of the peridynamic model in nonlocal elasticity theory |
Etienne Emmrich, Technische Universität Berlin, Institut für Mathematik, Germany
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The talk is based on joint work with Dimitri Puhst
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Peridynamics is a nonlocal continuum theory which avoids any spatial
derivative. It is believed to be suited for the description of
fracture and other material failure, and to model multiscale
problems. In this talk, we review recent results on the existence
of solutions to the peridynamic equation of motion for a large class
of nonlinear pairwise force functions modeling isotropic
microelastic material. Our method of proof applies also to other
nonlocal evolution equations.
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