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A local strain-based implementation strategy for the extended peridynamic model with bond rotation

机译：结合旋转的扩展周动力模型基于局部应变的实现策略

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The conventional grid displacements-based implementation of the extended peridynamic model with bond rotation may give rise to some difficulty in predicting non-uniform deformation field, essentially due to the existence of local rigid rotation in solid. This paper presents a novel alternative local strain-based implementation technique for handling the numerical issue. The key is to formulate the relative displacement between particles in terms of the strain tensor approximated locally rather than the direct use of displacements at peridynamic particles. It is critically proved that bond stretch is independent of the rigid rotation tensor. Local strain is thus required only for approximating local shear deformation. The model is currently implemented for static problems in a hybrid manner and in a finite element/peridynamics coupling framework, the latter allowing direct and correct imposition of boundary conditions. To illustrate the performance of the proposed method in numerical accuracy and computational efficiency, various examples are performed with varying Poisson's ratio and comparisons with the results from finite element analysis are presented. (C) 2019 Elsevier B.V. All rights reserved.
机译：传统的基于网格位移的扩展周向动力学模型（具有键旋转）的实现可能会在预测非均匀变形场方面引起一些困难，这主要是由于实体中存在局部刚性旋转。本文提出了一种新颖的基于局部应变的替代实现方法来处理数值问题。关键是要根据局部近似的应变张量来公式化粒子之间的相对位移，而不是直接在周边动力学粒子处使用位移。严格证明，粘结拉伸与刚性旋转张量无关。因此仅需要局部应变来近似局部剪切变形。该模型目前以混合方式和有限元/动力学耦合框架的形式针对静态问题实施，后者可以直接和正确地施加边界条件。为了说明该方法在数值精度和计算效率方面的性能，以不同的泊松比进行了各种示例，并与有限元分析的结果进行了比较。 （C）2019 Elsevier B.V.保留所有权利。

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