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为研究微损伤对非均匀材料宏观破坏的影响,建立了非均匀材料的三维微单元强度分布模型,在平均场模型和集团分担模型的基础上,根据模拟计算结果建立了邻近单元加权分担模型;采用细观统计的方法建立了微观损伤造成宏观破坏的概率函数及跨尺度敏感性函数.结果表明:材料的损伤分数和名义应力越大,破坏集团之间的距离越近,宏观破坏概率就越大;损伤分数较小时,材料的跨尺度敏感性随损伤分数增加而增大;损伤分数较大时,材料的跨尺度敏感性随损伤分数增加而减小;材料的跨尺度敏感性受体系大小影响,体系越大其敏感性越小.
In order to study the effect of micro - damage on the macroscopic failure of inhomogeneous materials, a three - dimensional microcells intensity distribution model of inhomogeneous materials was established. Based on the average field model and the group sharing model, the adjacent cells weighted sharing model was established based on the simulation results. The probability function and the cross-scale sensitivity function of macro damage caused by micro-damage are established by using the meso-statistics method.The results show that the larger the damage fraction and the nominal stress of the material, the closer the distance between the damaged groups, the more the probability of macro damage When the injury score is small, the cross-scale sensitivity of the material increases with the increase of the injury score; when the injury score is larger, the cross-scale sensitivity of the material decreases with the increase of the injury score; the cross-scale sensitivity of the material is affected by the size of the system Influence, the greater the sensitivity of the system the smaller.