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首页> 外文期刊>International Journal of Solids and Structures >A micromechanical method to predict the fracture toughness of cellular materials
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A micromechanical method to predict the fracture toughness of cellular materials

机译：预测多孔材料断裂韧性的微力学方法

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The Mode I, Mode II and mixed mode fracture toughness of a cellular medium is predicted by simulating the crack propagation using a finite element model. Displacement boundary conditions are applied such that they correspond to a given value of stress intensity factor in a homogeneous solid that has the same elastic constants as the cellular medium. The crack propagation is simulated by breaking the crack tip strut when the maximum stress in that strut exceeds the strength of the strut material. Based on the finite element results a semi-empirical formula is also derived to predict the Mode I and Mode II fracture toughness of cellular solids as a function of relative density. The results show that the displacements and stresses in the foam near the crack tip are very similar to that in an equivalent homogeneous material, and continuum fracture mechanics concepts can be applied to predict the fracture of a cellular medium. The forces acting in the crack tip strut can be considered as the resultant of stresses over an effective length in the corresponding continuum model. A relation for this effective length has been derived in terms of the relative density of the cellular medium. (C) 2004 Elsevier Ltd. All rights reserved.
机译：通过使用有限元模型模拟裂纹扩展来预测蜂窝介质的I，II和混合模式断裂韧性。应用位移边界条件，以使其对应于均质固体中具有与细胞介质相同的弹性常数的应力强度因子的给定值。当裂纹尖端的最大应力超过支撑材料的强度时，通过破坏裂纹尖端支撑来模拟裂纹扩展。基于有限元结果，还得出了一个半经验公式，以预测多孔固体的I型和II型断裂韧性与相对密度的关系。结果表明，裂纹尖端附近的泡沫中的位移和应力与等效均质材料中的位移和应力非常相似，并且连续体断裂力学概念可用于预测多孔介质的断裂。在相应的连续模型中，作用在裂纹尖端支撑杆上的力可以视为有效长度上的应力合力。已经根据细胞培养基的相对密度得出了该有效长度的关系。 （C）2004 Elsevier Ltd.保留所有权利。

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