摘要
为了解材料分布非均匀性对承载力、破坏过程等的影响,假设非均匀脆性材料的弹性模量和破坏强度相互独立并且随机分布,分别服从某种形式的统计规律。利用统计理论和损伤力学的知识,推导了含有材料分布非均匀参数的非均匀脆性材料的应力应变关系一维解析解。一维解析解与数值模拟解符合较好,可以帮助理解材料非均匀性和宏观非线性之间的本质关系和识别重要参数,有助于指导进一步的数值和理论分析。作为例子,利用该解析解分析了非均匀脆性材料承载力随分布参数变化的规律。
The analytical stressstrain relations with heterogeneity parameters are derived for a onedimensional heterogeneous brittle material, assuming that the elastic modulus and failure strength distributions are random and mutually independent. The analytical solutions, which agree well with numerical results, describe the essential relations between macro nonlinearities and the heterogeneity parameters. The analytical solutions also provide an important basis for further numerical simulations and theoretical analyses. As an example, the effects of heterogeneity on bearing capacity and failure process were studied using the analytical solutions to describe the variation of bearing capacity with the heterogeneity parameters.
出处
《清华大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2002年第11期1515-1518,共4页
Journal of Tsinghua University(Science and Technology)
