The peridynamic equation and its spatial discretisation

The peridynamic equation and its spatial discretisation
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DOI:
10.3846/1392-6292.2007.12.17-27
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发表时间:
2007-03
影响因子:
1.8
通讯作者:
E. Emmrich;O. Weckner
E. Emmrich;O. Weckner
中科院分区:
数学4区
文献类型:
--
作者:
E. Emmrich;O. Weckner

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摘要提出了求解周期运动方程的不同空间离散方法。所提出的方法进行了测试的线性微弹性材料的无限长度在一个空间维度。此外,能量守恒的连续以及离散化的问题进行了研究。
Abstract Different spatial discretisation methods for solving the peridynamic equation of motion are suggested. The methods proposed are tested for a linear microelastic material of infinite length in one spatial dimension. Moreover, the conservation of energy is studied for the continuous as well as discretised problem.