Variable horizon in a peridynamic medium
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Here, 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.
- Research Organization:
- Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
- Sponsoring Organization:
- USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE Office of Science (SC)
- Grant/Contract Number:
- AC05-00OR22725
- OSTI ID:
- 1311296
- Journal Information:
- Journal of Mechanics of Materials and Structures, Vol. 10, Issue 5; ISSN 1559-3959
- Publisher:
- Mathematical Science PublishersCopyright Statement
- Country of Publication:
- United States
- Language:
- English
Web of Science
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