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首页> 外文期刊>International Journal of Solids and Structures >A thermodynamic method for the construction of a cohesive law from a nonlocal damage model
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A thermodynamic method for the construction of a cohesive law from a nonlocal damage model

机译：从非局部损伤模型构建内聚律的热力学方法

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摘要

Several published papers deal with the possibility of replacing a damage finite element model by a com_bination of cohesive zones and finite elements. The focus of the paper is to show under which conditions this change of model can be done in an energy-wise manner.The objective is to build a cohesive model based on a known damage model, without making any assumption on the shape of the cohesive law. The method is characterized, on the one hand, by the use of a well-defined thermodynamic framework for the cohesive model and, on the other hand, by the idea that the main quantity which must be maintained through the change of model is the energy dissipated by the structure. An analysis of the stability criteria enables us to determine the domains of validity of the different models. Thus, we show that it is consistent to derive the cohesive law from a given nonlocal damage model because the occurrence of a discontinuity can be viewed as an alternative way to limit localization. The method is illustrated on one-dimensional examples and a numerical resolution method for the problem with a cohesive zone is presented.
机译：几篇已发表的论文探讨了通过将内聚区和有限元结合起来来代替损伤有限元模型的可能性。本文的重点是显示在何种条件下可以以能量明智的方式进行这种模型更改。目标是基于已知的损坏模型构建内聚模型，而无需对内聚的形状进行任何假设法。该方法的特点是，一方面，通过对内聚模型使用定义明确的热力学框架，另一方面，通过改变模型必须维持的主要量是能量消散的结构。对稳定性标准的分析使我们能够确定不同模型的有效性范围。因此，我们表明从给定的非局部损伤模型导出内聚律是一致的，因为不连续的发生可以看作是限制局部化的另一种方法。在一维示例上说明了该方法，并提出了具有粘性区域问题的数值解析方法。

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