E Askari, F Bobaru2, R B Lehoucq, M L Parks, S A Silling5 and O Weckner
1 6
Applied Math, The Boeing Company, Seattle, WA 98124, USA
2
Department of Engineering Mechanics, University of Nebraska-Lincoln, Lincoln, NE, 68588-0526, USA
3 4
Applied Mathematics and Applications, Sandia National Laboratories Albuquerque, NM 87185, USA
5
Multiscale Dynamic Materials Modeling, Sandia National Laboratories, Albuquerque, NM 87185, USA
abe.askari@boeing.com fbobaru2@unl.edu rblehou@sandia.gov mlparks@sandia.gov sasilli@sandia.gov olaf.weckner@boeing.com
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E Askari et al 2008 J. Phys.: Conf. Ser. 125 012078
The paper presents an overview of peridynamics, a continuum theory that employs a nonlocal model of force interaction. Specifically, the stress/strain relationship of classical elasticity is replaced by an integral operator that sums internal forces separated by a finite distance. This integral operator is not a function of the deformation gradient, allowing for a more general notion of deformation than in classical elasticity that is well aligned with the kinematic assumptions of molecular dynamics. Peridynamics effectiveness has been demonstrated in several applications, including fracture and failure of composites, nanofiber networks, and polycrystal fracture. These suggest that peridynamics is a viable multiscale material model for length scales ranging from molecular dynamics to those of classical elasticity.
81.40.Jj Elasticity and anelasticity, stress-strain relations
62.25.-g Mechanical properties of nanoscale systems
62.20.F- Deformation and plasticity
62.20.M- Structural failure of materials
81.40.Np Fatigue, corrosion fatigue, embrittlement, cracking, fracture, and failure
Issue 1 (2008)
E Askari et al 2008 J. Phys.: Conf. Ser. 125 012078
Hynek Baran 2005 J. Phys. A: Math. Gen. 38 L301