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A short note on modeling damage in peridynamics. (English) Zbl 1334.35339

Summary: We extend the peridynamic model to inherit irreversible damage. The governing equation is both nonlocal in time and in space and yields an abstract differential equation of Volterra type. We present conditions under which unique global solutions exist.

MSC:

35Q74 PDEs in connection with mechanics of deformable solids
74B20 Nonlinear elasticity
74H20 Existence of solutions of dynamical problems in solid mechanics
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[1] Emmrich, E.; Lehoucq, R. B.; Puhst, D.; Griebel, M. (ed.); Schweitzer, M. A. (ed.), Peridynamics: a nonlocal continuum theory, No. 89 (2013), Berlin · Zbl 1311.74013 · doi:10.1007/978-3-642-32979-1_3
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