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International Journal for Multiscale Computational Engineering

Impact factor: 1.103

ISSN Print: 1543-1649
ISSN Online: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.2011002407
pages 675-688


John T. Foster
Mechanical Engineering Department, University of Texas, San Antonio, TX 78249, USA; Terminal Ballistics Technology, Sandia National Laboratories, Albuquerque, New Mexico 87185,USA
Stewart A. Silling
Multiscale Dynamic Material Modeling Department, Sandia National Laboratories, Albuquerque, New Mexico,87185, USA
Weinong Chen
Aeronautics and Astronautics and Materials Engineering, Purdue University, West Lafayette, Indiana 47907, USA


Peridynamics is a continuum reformulation of the standard theory of solid mechanics. Unlike the partial differential equations of the standard theory, the basic equations of peridynamics are applicable even when cracks and other singularities appear in the deformation field. Interactions between continuum material points are termed "bonds." In this paper, a method for implementing a rate-dependent plastic material model within a peridynamic numerical code is summarized and a novel failure criterion is then presented by analyzing the energy required to break all bonds across a plane of unit area (energy release rate); with this, one can determine the critical energy density required to irreversibly fail a single bond. By failing individual bonds, this allows cracks to initiate, coalesce, and propagate without a prescribed external crack law. This is demonstrated using experimentally collected fracture toughness measurements to evaluate the energy release rate. Simulations are compared to experimental results.


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