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一个描述脆性材料非线性行为的损伤力学模型 被引量:1

A DAMAGE MECHANICS MODEL FOR DESCRIBING NONLINEAR BEHAVIORS OF BRITTLE MAIERIALS
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摘要 提出了一个分析和描述脆性材料各向异性损伤的宏观力学模型。在小变型的情况下,利用损伤面和损伤势的概念以及材料性能和材料受损后的弹性响应取决于损伤变量而与加载路径无关的假设,文中导出材料弹性损伤的一般本构关系及联系材料系数与损伤面和损伤势的表达式。当损伤面和损伤势的构造确定后,建立了损伤变量的演变方程和材料性能的变化规律。文中以两种具体材料为例说明该理论模型的应用. In this investigation,a mechanical model is developed for the characterizationof inelastic mechanical responses in brittle materials due to damage when the time and ratedependent behaviors are insignificant。The formulation is based on the concepts of damagesurface and damage potential.The approach makes the derivation of evolution law of thematerial coefficients and the anisotropic constitutive equation of the brittle materials pos-sible, based on the assumption that the changes in material properties due to damage areonly relevant to damage variable but independent of stress path. When the forms of dam-age surface and damage potential are specified, for a particular case,a simplified analysisis illustrated. The applicability and validity of the method are demonstrated by character-izing the behaviors of Polymethylmethacrylate (PMMA) and unidirectional graphite/epoxycomposite laminae。
作者 杨帆
出处 《力学学报》 EI CSCD 北大核心 1995年第6期681-690,共10页 Chinese Journal of Theoretical and Applied Mechanics
关键词 损伤力学 复合材料 脆性材料 非线性 模型 damage meclianics, damage surface,damage potential,unidirectional fiberreinforced composite materials
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