期刊
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
卷 98, 期 8, 页码 547-561出版社
WILEY
DOI: 10.1002/nme.4642
关键词
mesh-free methods; elasticity; peridynamics; solids; two dimensional
Peridynamics is a non-local mechanics theory that uses integral equations to include discontinuities directly in the constitutive equations. A three-dimensional, state-based peridynamics model has been developed previously for linearly elastic solids with a customizable Poisson's ratio. For plane stress and plane strain conditions, however, a two-dimensional model is more efficient computationally. Here, such a two-dimensional state-based peridynamics model is presented. For verification, a 2D rectangular plate with a round hole in the middle is simulated under constant tensile stress. Dynamic relaxation and energy minimization methods are used to find the steady-state solution. The model shows m-convergence and delta-convergence behaviors when m increases and delta decreases. Simulation results show a close quantitative matching of the displacement and stress obtained from the 2D peridynamics and a finite element model used for comparison. Copyright (c) 2014 John Wiley & Sons, Ltd.
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