浙江大学学报(工学版)  2018, Vol. 52 Issue (3): 497-503    DOI: 10.3785/j.issn.1008-973X.2018.03.011
 机械工程与力学

Peridynamic modelling and simulation for multiple crack propagation in brittle materials
QIN Hong-yuan, LIU Yi-ming, HUANG Dan
Department of Engineering Mechanics, Hohai University, Nanjing 211100, China
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Abstract:

An improved peridynamic (PD) constitutive model and corresponding numerical method were proposed to analyze the multiple crack propagation in brittle materials. The rotation of the bond of material points was introduced into the conventional microelastic brittle PD model; a kernel function reflecting the internal length effect of long-range forces between material points was implemented into the constitutive force model, to improve the accuracy, efficiency and stability of calculation. Meanwhile, a numerical system under the framework of PD was developed to simulate the multiple crack propagation in brittle materials naturally with the uniform model and algorithms. The most effective peridynamic horizon size and kernel function were confirmed through quantitative analysis. The proposed model and algorithms were validated through the disruptive process simulation of a double-notched Brazilian disk and a brittle plate with multiple cracks. Results show that the improved PD model and numerical method can analyze the brittle crack propagation problem, qualitatively and quantitatively. Moreover, the crack propagation in a brittle plate with two pre-existing cracks under uniaxial tension was analyzed, then the influence rule of the initial cracks' distribution on the stucture's failure mode and failure load is discovered.

 CLC: O346.1

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QIN Hong-yuan, LIU Yi-ming, HUANG Dan. Peridynamic modelling and simulation for multiple crack propagation in brittle materials. JOURNAL OF ZHEJIANG UNIVERSITY (ENGINEERING SCIENCE), 2018, 52(3): 497-503.

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