期刊
APPLIED MATHEMATICS AND COMPUTATION
卷 219, 期 11, 页码 6039-6043出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2012.11.090
关键词
Peridynamics; Nonlocality
In this paper we propose a new viscoelastic material model within the framework of the nonlocal peridynamic formulation of continuum mechanics. Using Fourier-and Laplace-transforms we derive integral-representation formulas using a Green's function approach for both local and nonlocal viscoelasticity. As an example we calculate the local and nonlocal response of an infinite viscoelastic bar impacted by a point load. We show both analytically and numerically that local viscoelasticity is recovered in the limit as the peridynamic lengthscales become small. (C) 2012 Elsevier Inc. All rights reserved.
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