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Peridynamic modeling of diffusion by using finite element analysis

机译:扩散的蠕变动力学有限元分析

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摘要

Diffusion modeling is essential in understanding many physical phenomena such as heat transfer, moisture concentration, electrical conductivity, etc. In the presence of material and geometric discontinuities, and non-local effects, a non-local continuum approach, named as peridynamics, can be advantageous over the traditional local approaches. Peridynamics is based on integro-differential equations without including any spatial derivatives. In general, these equations are solved numerically by employing meshless discretization techniques. Although fundamentally different, commercial finite element software can be a suitable platform for peridynamic simulations which may result in several computational benefits. Hence, this study presents the peridynamic diffusion modeling and implementation procedure in a widely used commercial finite element analysis software, ANSYS. The accuracy and capability of this approach is demonstrated by considering several benchmark problems.
机译:扩散建模对于理解许多物理现象(例如热传递,水分浓度,电导率等)至关重要。在存在材料和几何不连续性以及非局部影响的情况下,可以使用称为局部动力学的非局部连续介质方法。优于传统的本地方法。周动力学基于积分微分方程,不包括任何空间导数。通常,这些方程是通过采用无网格离散化技术进行数值求解的。尽管本质上有所不同,但商业有限元软件可能是适合进行周边动力学模拟的平台,这可能会带来一些计算上的好处。因此,本研究提出了一种在广泛使用的商业有限元分析软件ANSYS中的绕动力学扩散建模和实现过程。通过考虑几个基准问题证明了这种方法的准确性和能力。

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