Roadmap for Peridynamic Software Implementation

Technical Report · Thu Oct 01 04:00:00 EDT 2015

DOI:https://doi.org/10.2172/1226115· OSTI ID:1226115

Littlewood, David John ^[1]

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1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

The application of peridynamics for engineering analysis requires an efficient and robust software implementation. Key elements include processing of the discretization, the proximity search for identification of pairwise interactions, evaluation of the con- stitutive model, application of a bond-damage law, and contact modeling. Additional requirements may arise from the choice of time integration scheme, for example esti- mation of the maximum stable time step for explicit schemes, and construction of the tangent stiffness matrix for many implicit approaches. This report summaries progress to date on the software implementation of the peridynamic theory of solid mechanics. Discussion is focused on parallel implementation of the meshfree discretization scheme of Silling and Askari [33] in three dimensions, although much of the discussion applies to computational peridynamics in general.

• Research Organization: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
• Sponsoring Organization: USDOE National Nuclear Security Administration (NNSA)
• DOE Contract Number: AC04-94AL85000
• OSTI ID: 1226115
• Report Number(s): SAND2015--9013; 608045
• Country of Publication: United States
• Language: English

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59 BASIC BIOLOGICAL SCIENCES