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An asymptotically compatible meshfree quadrature rule for nonlocal problems with applications to peridynamics

  • Published:2019-01 Issue: Volume:343 Page:151-165
  • ISSN:0045-7825
  • Container-title:Computer Methods in Applied Mechanics and Engineering
  • language:en
  • Short-container-title:Computer Methods in Applied Mechanics and Engineering

Author:

Trask Nathaniel,You Huaiqian,Yu Yue,Parks Michael L.

Funder

National Science Foundation MSPRF program, United States

Sandia National Laboratories LDRD program, United States

U.S. Department of Energy Office of Science, Office of Advanced Scientific Computing Research, Applied Mathematics program, United States

NSF-MSGI program, United States

National Science Foundation, United States

Publisher

Elsevier BV

Subject

Computer Science Applications,General Physics and Astronomy,Mechanical Engineering,Mechanics of Materials,Computational Mechanics

Reference28 articles.

1. Reformulation of elasticity theory for discontinuities and long-range forces;Silling;J. Mech. Phys. Solids,2000

2. Peridynamics via finite element analysis;Macek;Finite Elem. Anal. Des.,2007

3. A meshfree method based on the peridynamic model of solid mechanics;Silling;Comput. Struct.,2005

4. Analysis and numerical approximation of an integro-differential equation modeling non-local effects in linear elasticity;Emmrich;Math. Mech. Solids,2007

5. The bond-based peridynamic system with Dirichlet-type volume constraint;Mengesha;Proc. Roy. Soc. Edinburgh Sect. A Math.,2014

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