Document Type

Article

Publication Date

1-1-2023

Abstract

We consider load controlled quasistatic evolution. Well posedness results for the nonlocal continuum model related to peridynamics are established. We show local existence and uniqueness of quasistatic evolution for load paths originating at stable critical points. These points can be associated with local energy minima among the convex set of deformations belonging to the strength domain of the material. The evolution of the displacements, however, is not constrained to lie inside the strength domain of the material. The load-controlled evolution is shown to exhibit energy balance.

Publication Source (Journal or Book title)

Multiscale Modeling and Simulation

First Page

598

Last Page

623

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