Examples of applications of the peridynamic theory to the solution of static equilibrium problems

Zaccariotto M.; Luongo F.; Sarego G.; Galvanetto U.

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Examples of applications of the peridynamic theory to the solution of static equilibrium problems

机译：周边动力学理论在静态平衡问题求解中的应用示例

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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.

机译：周动力是最近提出的基于非局部方法并用积分方程表述的连续理论。该理论适用于处理固体材料中的裂纹扩展。最初的绕动力学公式考虑了动力学问题，主要通过使用松弛方法，通过在时间积分中引入大量的数值阻尼，使其适应于静态情况。在目前的工作中，提出了基于牛顿-拉夫森方法在静态裂纹扩展现象的隐式代码内实现该理论的方法，并将其应用于静态裂纹扩展平衡问题的几个示例。使用新开发的方法获得的结果将针对各种结构配置，不同的边界条件和载荷条件进行介绍，并与公开数据进行定量比较。

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《The Aeronautical Journal》 |2015年第1216期|677-700|共24页
作者
Zaccariotto M.; Luongo F.; Sarego G.; Galvanetto U.;
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Univ Padua, Dept Ind Engn, Padua, Italy;

Univ Padua, Dept Ind Engn, Padua, Italy;

Univ Padua, Dept Ind Engn, Padua, Italy;

Univ Padua, Dept Ind Engn, Padua, Italy;

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Examples of applications of the peridynamic theory to the solution of static equilibrium problems

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