Peridynamics via finite element analysis
TLDR
In this paper, the authors describe how the peridynamic model can also be implemented in a conventional finite element analysis (FEA) code using truss elements, and demonstrate the utility and robustness of the method for problems involving fracture, damage and penetration.About:
This article is published in Finite Elements in Analysis and Design.The article was published on 2007-11-01 and is currently open access. It has received 498 citations till now. The article focuses on the topics: Peridynamics & Finite element method.read more
Citations
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Book ChapterDOI
Peridynamic Theory of Solid Mechanics
TL;DR: The classical theory of solid mechanics is based on the assumption of a continuous distribution of mass within a body and all internal forces are contact forces that act across zero distance as discussed by the authors, however, the classical theory has been demonstrated to provide a good approximation to the response of real materials down to small length scales, particularly in single crystals, provided these assumptions are met.
Journal ArticleDOI
Cohesive Zone Models: A Critical Review of Traction-Separation Relationships Across Fracture Surfaces
TL;DR: In this article, potential-based models have been evaluated for mixed-mode cohesive fracture, and it is shown that these models lead to positive stiffness under certain separation paths, contrary to general cohesive fracture phenomena wherein the increase of separation generally results in the decrease of failure resistance across the fracture surface.
Journal ArticleDOI
The peridynamic formulation for transient heat conduction
Florin Bobaru,Monchai Duangpanya +1 more
TL;DR: In this article, a peridynamic model for transient heat and mass transfer in fracture-prone bodies is proposed, which is valid when the body undergoes damage or evolving cracks.
Journal ArticleDOI
A non-ordinary state-based peridynamic method to model solid material deformation and fracture
TL;DR: In this paper, a non-ordinary state-based peridynamic method was developed to solve transient dynamic solid mechanics problems, in which the bonds are not restricted to central forces, nor is it restricted to a Poisson's ratio of 1/4 as with the bond-based method.
Journal ArticleDOI
Peridynamics for multiscale materials modeling
Ebrahim Askari,Florin Bobaru,Richard B. Lehoucq,Michael L. Parks,Stewart A. Silling,Olaf Weckner +5 more
TL;DR: Peridynamics as discussed by the authors is a continuum theory that employs a nonlocal model of force interaction, where the stress/strain relationship of classical elasticity is replaced by an integral operator that sums internal forces separated by a finite distance.
References
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Book
The stress analysis of cracks handbook
TL;DR: The Stress Analysis of Cracks Handbook as mentioned in this paper provides a comprehensive, easy-to-access collection of elastic stress solutions for crack configurations, along with other relevant information, such as displacements, crack opening areas, basic stress functions source references, accuracy of solutions, and more.
Journal ArticleDOI
Reformulation of Elasticity Theory for Discontinuities and Long-Range Forces
TL;DR: In this paper, a peridynamic formulation for the basic equations of continuum mechanics is proposed, and the propagation of linear stress waves in the new theory is discussed, and wave dispersion relations are derived.
Journal ArticleDOI
A meshfree method based on the peridynamic model of solid mechanics
TL;DR: In this article, a numerical method for solving dynamic problems within the peridynamic theory is described, and the properties of the method for modeling brittle dynamic crack growth are discussed, as well as its accuracy and numerical stability.
Book
Numerical solution of partial differential equations in science and engineering
Leon Lapidus,George F. Pinder +1 more
TL;DR: In this article, basic concepts in the Finite Difference and Finite Element Methods have been discussed, including Finite Elements on Irregular Subspaces and Parabolic Partial Differential Equations.
Book
Impact strength of materials
W. Johnson,Stephen L. Rice +1 more
TL;DR: In this article, a compilation of information and analytical methods on the subject of impact strength of materials is presented, dealing with elementary one-dimensional elastic stress waves in long uniform bars due to impact.