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Title: Simulation of elastic wave propagation using cellular automata and peridynamics, and comparison with experiments

Peridynamics is a non-local continuum mechanics formulation that can handle spatial discontinuities as the governing equations are integro-differential equations which do not involve gradients such as strains and deformation rates. This paper employs bond-based peridynamics. Cellular Automata is a local computational method which, in its rectangular variant on interior domains, is mathematically equivalent to the central difference finite difference method. However, cellular automata does not require the derivation of the governing partial differential equations and provides for common boundary conditions based on physical reasoning. Both methodologies are used to solve a half-space subjected to a normal load, known as Lamb’s Problem. The results are compared with theoretical solution from classical elasticity and experimental results. Furthermore, this paper is used to validate our implementation of these methods.
ORCiD logo [1] ;  [1] ;  [2] ;  [3]
  1. Univ. of Illinois at Urbana-Champaign, Urbana, IL (United States)
  2. Georgia Institute of Technology, Atlanta, GA (United States)
  3. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Publication Date:
OSTI Identifier:
Report Number(s):
Journal ID: ISSN 0165-2125; PII: S0165212515001195
Grant/Contract Number:
Accepted Manuscript
Journal Name:
Wave Motion
Additional Journal Information:
Journal Volume: 60; Journal Issue: C; Journal ID: ISSN 0165-2125
Research Org:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org:
USDOE National Nuclear Security Administration (NNSA)
Country of Publication:
United States
97 MATHEMATICS AND COMPUTING; peridynamics; Cellular Automata; Lamb’s problem; wave propagation; surface waves; validation