Hierarchical modelling of discontinuous fields
Hierarchical modelling of discontinuous fields
复制标题
不连续场的分层建模
DOI：
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发表时间：
1992
期刊：
影响因子：
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通讯作者：
J. Fish
中科院分区：
文献类型：
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作者：
J. Fish
发展了一种用S版的有限元方法分层模拟不连续场的方法。这是通过覆盖有限元网格的一部分来实现的，其中不连续部分需要嵌入跨裂纹面的不连续的有限元网格(沿不连续面包含不受约束的双重节点)。该方法只需在叠加网格中推进裂纹前沿，保持基本网格不变，不知道裂纹的存在，即可模拟裂纹扩展。该方法的层次化结构保证了计算效率，特别是在线性系统中。通过对I型问题和混合型问题的数值实验，验证了该公式的有效性。
A methodology has been developed to hierarchically model discontinuous fields by means of the s-version of the finite-element method. This is achieved by overlaying portions of the finite-element mesh where discontinuities need to be embedded with a finite-element mesh which is discontinuous across the crack faces (containing unconstrained double nodes along the discontinuity). By this technique crack propagation can be simulated by advancing the crack front in the superimposed mesh only, keeping the base mesh fixed and unaware of the crack existence. The hierarchical structure of the method ensures computational efficiency, especially in linear systems. Numerical experiments for mode I and mixed-mode problems are presented to validate the present formulation.