Numerical Tools for Improved Convergence of Meshfree Peridynamic Discretizations

Book · Wed Aug 01 00:00:00 EDT 2018

DOI:https://doi.org/10.1007/978-3-319-22977-5_39-1· OSTI ID:1474564

Seleson, Pablo D.  ^[1]; Littlewood, David J. ^[2]

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1. ORNL
2. Sandia National Laboratories (SNL)

Peridynamic models have been employed to simulate a broad range of engineering applications concerning material failure and damage, with the majority of these simulations using a meshfree discretization. This chapter reviews that meshfree discretization, related issues present in peridynamic convergence studies, and possible remedies proposed in the literature. In particular, we discuss two numerical tools, partial-volume algorithms and influence functions, to improve the convergence behavior of numerical solutions in peridynamics. Numerical studies in this chapter involve static and dynamic simulations for linear elastic state-based peridynamic problems.

• Research Organization: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
• Sponsoring Organization: USDOE
• DOE Contract Number: AC05-00OR22725
• OSTI ID: 1474564
• Country of Publication: United States
• Language: English