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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A non-ordinary state-based peridynamics framework for anisotropic materials
TL;DR: In this paper, a non-ordinary state-based formulation is proposed to model general anisotropic materials, where the material properties for each particle are defined using the material constitutive matrix, rather than being defined through the bond stiffness between adjacent particles.
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Improved State-Based Peridynamic Lattice Model Including Elasticity, Plasticity and Damage
TL;DR: In this paper, a state-based peridynamic lattice model (SPLM) is proposed to simulate concrete laboratory tests, such as uniaxial tension, compression, and Brazilian split cylinder test.
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Modeling of chemo-hydromechanical behavior of unsaturated porous media: a nonlocal approach based on integral equations
Xiaoyu Song,Shashank Menon +1 more
TL;DR: In this paper, a non-local chemo-hydromechanical model for unsaturated clay via the constitutive correspondence principle in the state-based peridynamics is proposed.
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Peridynamic Modeling of Frictional Contact
TL;DR: A state-based nonlocal friction formulation is introduced that corrects for loss of angular momentum balance and objectivity in a widely used frictional extension of short-range contact forces.
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Mesh and timestep sensitivity of fracture from thermal strains using peridynamics implemented in Abaqus
TL;DR: In this paper, the authors investigated how a bi-material strip, modelled using bond-based peridynamics implemented into the finite element (FE) code Abaqus/Standard, using truss elements, delaminates when subjected to regular uniform temperature changes.
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.
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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.
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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.