A Perfectly Matched Layer for Peridynamics in Two Dimensions

Abstract

A perfectly matched layer (PML) absorbing boundary is formulated for and numerically applied to peridynamics in two dimensions. Peridynamics is a nonlocal method, derived to be insensitive to discontinuities, more easily simulating fracture. A PML is an absorbing boundary layer, which decays impinging waves exponentially without introducing reflections at the boundary between the computational region and the absorbing layer. Here, we use state-based peridynamics as PMLs are essentially anisotropic absorbing materials, therefore requiring arbitrary material parameters. State-based peridynamics is also more convenient for auxiliary field formulations, facilitating the implementation of the PML. Results show the efficacy of the approach.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 2013
Accession Number
ADA583116

Entities

People

  • George A. Gazonas
  • Raymond A. Wildman

Organizations

  • United States Army Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Acoustic Waves
  • Boundaries
  • Boundary Layer
  • Crack Propagation
  • Differential Equations
  • Discontinuities
  • Equations
  • Integral Equations
  • Integrals
  • Laminates
  • Materials
  • Materials Laboratories
  • Mechanics
  • Molecular Dynamics
  • Peridynamics
  • Reflection
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Structural Health Monitoring of Composite Structures.