Journal ArticleDOI
Cracking particles: A simplified meshfree method for arbitrary evolving cracks
Timon Rabczuk,Ted Belytschko +1 more
Reads0
Chats0
TLDR
A new approach for modelling discrete cracks in meshfree methods is described, in which the crack can be arbitrarily oriented, but its growth is represented discretely by activation of crack surfaces at individual particles, so no representation of the crack's topology is needed.Abstract:
A new approach for modelling discrete cracks in meshfree methods is described. In this method, the crack can be arbitrarily oriented, but its growth is represented discretely by activation of crack surfaces at individual particles, so no representation of the crack's topology is needed. The crack is modelled by a local enrichment of the test and trial functions with a sign function (a variant of the Heaviside step function), so that the discontinuities are along the direction of the crack. The discontinuity consists of cylindrical planes centred at the particles in three dimensions, lines centred at the particles in two dimensions. The model is applied to several 2D problems and compared to experimental data. Copyright © 2004 John Wiley & Sons, Ltd.read more
Citations
More filters
Journal ArticleDOI
Review: Meshless methods: A review and computer implementation aspects
TL;DR: This manuscript is to give a practical overview of meshless methods (for solid mechanics) based on global weak forms through a simple and well-structured MATLAB code, to illustrate the discourse.
Journal ArticleDOI
A three dimensional large deformation meshfree method for arbitrary evolving cracks
Timon Rabczuk,Ted Belytschko +1 more
TL;DR: In this paper, a new approach for modeling discrete cracks in mesh-free particle methods in 3D is described, where cracks can be arbitrarily oriented, but their growth is represented by activation of crack surfaces at individual particles, so no representation of the crack's topology is needed.
Journal ArticleDOI
A simple and robust three-dimensional cracking-particle method without enrichment
TL;DR: In this paper, a new robust and efficient approach for modeling discrete cracks in mesh-free methods is described, where the crack is modeled by splitting particles located on opposite sides of the associated crack segments and make use of the visibility method in order to describe the crack kinematics.
Journal ArticleDOI
A method for dynamic crack and shear band propagation with phantom nodes
TL;DR: In this article, a new method for modeling arbitrary dynamic crack and shear band propagation is presented, where cracks are treated by adding phantom nodes and superposing elements on the original mesh.
Journal ArticleDOI
Studies of dynamic crack propagation and crack branching with peridynamics
Youn Doh Ha,Florin Bobaru +1 more
TL;DR: The peridynamic analysis of dynamic crack branching in brittle materials is discussed in this article, where the authors show that peridynamics is a reliable formulation for modeling dynamic crack propagation.
References
More filters
Journal ArticleDOI
Smoothed particle hydrodynamics: Theory and application to non-spherical stars
R. A. Gingold,Joseph J Monaghan +1 more
Journal ArticleDOI
A finite element method for crack growth without remeshing
TL;DR: In this article, a displacement-based approximation is enriched near a crack by incorporating both discontinuous elds and the near tip asymptotic elds through a partition of unity method.
Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements
TL;DR: In this article, fracture mechanics is introduced into finite element analysis by means of a model where stresses are assumed to act across a crack as long as it is narrowly opened, which may be regarded as a way of expressing the energy adsorption in the energy balance approach.
Journal ArticleDOI
A numerical approach to the testing of the fission hypothesis.
TL;DR: A finite-size particle scheme for the numerical solution of two-and three-dimensional gas dynamical problems of astronomical interest is described and tested in this article, which is then applied to the fission problem for optically thick protostars.
Journal ArticleDOI
Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements
TL;DR: In this article, fracture mechanics is introduced into finite element analysis by means of a model where stresses are assumed to act across a crack as long as it is narrowly opened, which may be regarded as a way of expressing the energy adsorption in the energy balance approach.
Related Papers (5)
A three dimensional large deformation meshfree method for arbitrary evolving cracks
Timon Rabczuk,Ted Belytschko +1 more