期刊
JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES
卷 10, 期 5, 页码 591-612出版社
MATHEMATICAL SCIENCE PUBL
DOI: 10.2140/jomms.2015.10.591
关键词
elasticity; nonlocality; local-nonlocal coupling; peridynamics
资金
- United States Department of Energy's National Nuclear Security Administration [DE-AC04-94AL85000]
A notion of material homogeneity is proposed for peridynamic bodies with variable horizon but constant bulk properties. A relation is derived that scales the force state according to the position-dependent horizon while keeping the bulk properties unchanged. Using this scaling relation, if the horizon depends on position, artifacts called ghost forces may arise in a body under a homogeneous deformation. These artifacts depend on the second derivative of the horizon and can be reduced by employing a modified equilibrium equation using a new quantity called the partial stress. Bodies with piecewise constant horizon can be modeled without ghost forces by using a simpler technique called a splice. As a limiting case of zero horizon, both the partial stress and splice techniques can be used to achieve local-nonlocal coupling. Computational examples, including dynamic fracture in a one-dimensional model with local-nonlocal coupling, illustrate the methods.
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