Examples of applications of the peridynamic theory to the solution of static equilibrium problems
Examples of applications of the peridynamic theory to the solution of static equilibrium problems
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DOI：
10.1017/s0001924000010770
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发表时间：
2015-06
期刊：
影响因子：
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通讯作者：
M. Zaccariotto;Fabio Luongo;G. Sarego;U. Galvanetto
中科院分区：
文献类型：
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作者：
M. Zaccariotto;Fabio Luongo;G. Sarego;U. Galvanetto
周期动力学是最近提出的一种基于非局域方法和积分方程组的连续介质理论。该理论适用于固体材料中的裂纹扩展问题。原来的动力方程考虑了动力问题，主要采用了松弛方法，在时间积分中引入了大量的数值阻尼，使之适用于静态情况。本文给出了基于牛顿-拉夫森方法的静态裂纹扩展现象隐式代码的理论实现，并应用于几个静态裂纹扩展平衡问题的算例。给出了不同边界和荷载条件下不同结构构型的计算结果，并与已发表的数据进行了定量比较。
Abstract Peridynamics is a recently proposed continuum theory based on a non local approach and formulated with integral equations. The theory is suitable for dealing with crack propagation in solid materials. The original peridynamic formulation regarded dynamic problems and was adapted to the static case mainly using a relaxation method by introducing a substantial amount of numerical damping in the time integration. In the present work the implementation of the theory within an implicit code for static crack propagation phenomena based on the Newton-Raphson method is presented and applied to several examples of static crack propagation equilibrium problems. Results obtained with the newly developed procedure are presented for various structural configurations, with different boundary and load conditions and quantitatively compared to published data.