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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >From continuous to discontinuous failure in a gradient-enhanced continuum damage model
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From continuous to discontinuous failure in a gradient-enhanced continuum damage model

机译:在梯度增强的连续介质损伤模型中从连续失效到不连续失效

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摘要

A computational framework for the description of the combined continuous-discontinuous failure in a regularised strain-softening continuum is proposed. The continuum is regularised through the introduction of gradient terms into the constitutive equations. At the transition to discrete failure, the problem fields are enhanced through a discontinuous interpolation based on the partition of unity paradigm of finite-element shape functions. The inclusion of internal discontinuity surfaces, where boundary conditions are applied without modifications of the original finite-element mesh, avoids the unrealistic damage growth typical of this class of regularised continuum models. Combined models allow for the analysis of the entire failure process, from diffuse microcracking to localised macrocracks. The discretisation procedure is described in detail and numerical examples illustrate the performance of the combined continuous-discontinuous approach.
机译:提出了一种用于描述规则应变软化连续体中连续不连续组合破坏的计算框架。通过将梯度项引入本构方程,可以对连续体进行正则化。在过渡到离散故障时,基于有限元形状函数的统一范式的划分,通过不连续插值法增强了问题域。内部不连续曲面的应用(在不修改原始有限元网格的情况下应用边界条件的情况下)避免了此类正则化连续体模型典型的不切实际的损伤增长。组合模型可以分析从弥散微裂纹到局部大裂纹的整个失效过程。详细描述了离散化过程,数值示例说明了组合连续-不连续方法的性能。

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