Dual-horizon peridynamics: A stable solution to varying horizons
TLDR
In this article, a dual-horizon peridynamics (DH-PD) formulation is presented, which allows for simulations with dual-Horizon with minimal spurious wave reflection and is shown to be less sensitive to the spatial than the original PD formulation.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 2017-05-01 and is currently open access. It has received 496 citations till now. The article focuses on the topics: Peridynamics.read more
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Phase field modeling of quasi-static and dynamic crack propagation: COMSOL implementation and case studies
TL;DR: The authors aim to devise a simple and efficient implementation of phase-field model for the modelling of quasi-static and dynamic fracture in the general purpose commercial software developer, COMSOL Multiphysics.
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A phase-field modeling approach of fracture propagation in poroelastic media
TL;DR: In this paper, a phase field model for fracture in poroelastic media is proposed, where the fracture propagation is driven by the elastic energy where the phase field is used as an interpolation function to transit fluid property from the intact medium to the fully broken one.
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A 3-D conjugated bond-pair-based peridynamic formulation for initiation and propagation of cracks in brittle solids
TL;DR: In this article, a 3D conjugated bond-pair-based peridynamic model is proposed to simulate the initiation and propagation of cracks in brittle solids, where interacting forces between two material points within one horizon are not only related to the stretch of the bond, but also related to rotation of the conjugation angles.
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Phase field modelling of crack propagation, branching and coalescence in rocks
TL;DR: In this paper, a phase field model (PFM) is presented for simulating complex crack patterns including crack propagation, branching and coalescence in rock, based on the strain decomposition for the elastic energy, which drives the evolution of the phase field.
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Phase field modelling of crack propagation, branching and coalescence in rocks
TL;DR: In this paper, a phase field model (PFM) is presented for simulating complex crack patterns including crack propagation, branching and coalescence in rock, based on the strain decomposition for the elastic energy, which drives the evolution of the phase field.
References
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Book
Wave Motion in Elastic Solids
TL;DR: In this article, a comprehensive study of elastic wave propagation in solids is presented, ranging from the theory of waves and vibrations in strings to the three-dimensional theory of elastic waves in thick plates.
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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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Numerical simulations of fast crack growth in brittle solids
Xiaopeng Xu,Alan Needleman +1 more
TL;DR: In this article, a model of dynamic crack growth is presented for a plane strain block with an initial central crack subject to tensile loading, where crack branching emerges as a natural outcome of the initial-boundary value problem solution, without any ad hoc assumption regarding branching criteria.
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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.
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Peridynamic States and Constitutive Modeling
TL;DR: In this article, a generalization of the original peridynamic framework for solid mechanics is proposed, which allows the response of a material at a point to depend collectively on the deformation of all bonds connected to the point.
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