The thermodynamic form of peridynamics with application to phase transformations

Abstract eng:
g The peridynamic theory is a nonlocal generalization of the standard theory of solid mechanics that was developed primarily to model crack growth and long-range internal forces. Thermodynamics can be incorporated into the peridynamic fiamework in a way that is fully consistent with the mechanics. Nonlocal statements of the first and second laws of thermodynamics have been developed, along with nonlocal equations for heat transport and the diffilsion of chemical species. Restrictions on material response can be derived from the second law. A nonlocal dissipative material model that takes advantage of the unique features of peridynamic material models can be applied within a moving phase boundary. The resulting motion of an elastic body with a nonconvex potential energy function selects, in effect, a kinetic relation for phase boundary motion without the need for a supplemental equation that is traditionally needed to prescribe the phase boundary velocity.

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