假定在某些脆性无序材料内含有相同的微裂缝随机分布概率密度,但具有不同无序度的情况下,建立了模拟材料力学行为的二维不连续位移法边界元数值计算模型.实现了材料微裂缝生长、扩展到最终破坏的全过程数值仿真.根据分形几何理论确定了材料断裂表面几何形貌的分形维数.得到了材料的断裂强度随微裂缝长度随机分布无序度的增加而降低的规律性.数值模拟结果符合Bazant尺寸效应定律,并进一步证实了脆性或准脆性无序材料产生尺寸效应的微观机理.
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