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Finite Element Analysis of Strain Localization under Static and Dynamic Loading Conditions Based on Cosserat Continuum Model

机译:基于COSSERAT连续体模型的静态载荷条件下应变定位有限元分析

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In the present work, the Cosserat micro-polar continuum theory is introduced into the FEM numerical model, which is used to simulate the strain localization phenomena under static and dynamic loading conditions. The numerical studies on progressive failure phenomena, which occur in a panel, characterized by strain localization due to strain softening and its development, are numerically modelled by two types of Cosserat continuum finite elements, i.e. u8ω8 and u8ω4 elements. It is indicated that both two Cosserat continuum finite elements possess better performance in simulation of strain localization. Because of the presence of an internal length scale in Cosserat continuum model a perfect convergence is found upon mesh refinement. A finite, constant width of the localization zone is computed under static as well as under transient loading conditions.
机译:在本作工作中,将Cosserat微极性连续素理论引入了有限元数模型,用于在静态和动态负载条件下模拟应变定位现象。在面板中发生的渐进式失效现象的数值研究,其特征在于应变软化和其开发引起的应变局部化,由两种类型的COSSERAT连续UNITIONE元件,即U8ω8和U8ω4元素进行数值模拟。结果表明,两种Cosserat连续Untine元件具有更好的性能在仿真局部化的模拟中。由于Cosserat连续模型中存在内部长度尺度,在网眼细化时发现了完美的收敛。在静态以及瞬态负载条件下计算定位区域的有限恒定宽度。

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