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Complex Fracture Nucleation and Evolution with Nonlocal Elastodynamics

Journal Article · · Journal of Peridynamics and Nonlocal Modeling
 [1];  [2];  [1]
  1. Louisiana State Univ., Baton Rouge, LA (United States)
  2. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
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A mechanical model is introduced for predicting the initiation and evolution of complex fracture patterns without the need for a damage variable or law. The model, a continuum variant of Newton’s second law, uses integral rather than partial differential operators where the region of integration is over finite domain. The force interaction is derived from a novel nonconvex strain energy density function, resulting in a nonmonotonic material model. The resulting equation of motion is proved to be mathematically well-posed. The model has the capacity to simulate nucleation and growth of multiple, mutually interacting dynamic fractures. In the limit of zero region of integration, the model reproduces the classic Griffith model of brittle fracture. As a result, the simplicity of the formulation avoids the need for supplemental kinetic relations that dictate crack growth or the need for an explicit damage evolution law.
Research Organization:
Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
U.S. Army Engineer Research and Development Center; USDOE
Grant/Contract Number:
AC04-94AL85000
OSTI ID:
1529304
Report Number(s):
SAND-2018-13645J; 670637
Journal Information:
Journal of Peridynamics and Nonlocal Modeling, Journal Name: Journal of Peridynamics and Nonlocal Modeling Journal Issue: 2 Vol. 1; ISSN 2522-896X
Publisher:
Springer NatureCopyright Statement
Country of Publication:
United States
Language:
English

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Cited By (5)

Numerical convergence of finite difference approximations for state based peridynamic fracture models journal July 2019
Numerical Analysis of Nonlocal Fracture Models in Hölder Space journal January 2018
Numerical convergence of nonlinear nonlocal continuum models to local elastodynamics text January 2017
Finite element approximation of nonlocal fracture models preprint January 2017
Finite element convergence for state-based peridynamic fracture models preprint January 2019

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Related Subjects

36 MATERIALS SCIENCE
Brittle fracture
Elastic moduli
Material stability
Nonlocal
Peridynamic