流变场分配(flow field partitioning)现象在自然界高应变岩石中十分常见。传统的基于固体连续变形机制理论的变形分析中,流变场分配问题往往被忽略,致使应变带中流变场如何分配一直都缺乏深入认识。Eshelby阐述了嵌入均匀介质中的椭球...流变场分配(flow field partitioning)现象在自然界高应变岩石中十分常见。传统的基于固体连续变形机制理论的变形分析中,流变场分配问题往往被忽略,致使应变带中流变场如何分配一直都缺乏深入认识。Eshelby阐述了嵌入均匀介质中的椭球体内流变场的数学方法,为探讨流变场的分配奠定了理论基础。本文从固体连续变形机制入手,重点介绍基于Eshelby理论的多尺度数值模拟思路和方法,探讨流变场分配问题。模拟结果表明:嵌入基质中的椭球体内分布的流变场主要取决于椭球体与基质间的相对流变强度,椭球体的相对流变强度越低,其变形越接近于简单剪切,且有限应变积累越快。模拟还揭示,不同流变强度的椭球体内模拟拉伸线理和面理产状的总体格局反映基质流变场特征。由此得到以下结论:(1)在流变场分配现象显著的区域,局部小尺度上应变、涡度测量分析结果无法直接揭示区域流变场运动学边界条件,对这些区域的构造变形分析必须是多尺度的;(2)基于Eshelby理论的以实质变形组构为约束的多尺度数值模拟分析,能更为合理地揭示高应变岩石中流变场的分配。展开更多
A closed-form solution for predicting the tangential stress of an inclusion located in mixed mode Ⅰ and Ⅱ crack tip field was developed based on the Eshelby equivalent inclusion theory. Then a mixed mode fracture cr...A closed-form solution for predicting the tangential stress of an inclusion located in mixed mode Ⅰ and Ⅱ crack tip field was developed based on the Eshelby equivalent inclusion theory. Then a mixed mode fracture criterion, including the fracture direction and the critical load, was established based on the maximum tangential stress in the inclusion for brittle inclusioninduced fracture materials. The proposed fracture criterion is a function of the inclusion fracture stress, its size and volume fraction, as well as the elastic constants of the inclusion and the matrix material. The present criterion will reduce to the conventional one as the inclusion having the same elastic behavior as the matrix material. The proposed solutions are in good agreement with detailed finite element analysis and measurement.展开更多
A plastic deformation zone near a screw dislocation is treated as an equivalent transformation inclusion by means of the Eshelby inclusion theory. A closed form solution for determining the interaction between a screw...A plastic deformation zone near a screw dislocation is treated as an equivalent transformation inclusion by means of the Eshelby inclusion theory. A closed form solution for determining the interaction between a screw dislocation and a plastically deformed zone of an arbitrary shape is obtained by using the solution between a dislocation and an equivalent transformation inclusion.展开更多
文摘流变场分配(flow field partitioning)现象在自然界高应变岩石中十分常见。传统的基于固体连续变形机制理论的变形分析中,流变场分配问题往往被忽略,致使应变带中流变场如何分配一直都缺乏深入认识。Eshelby阐述了嵌入均匀介质中的椭球体内流变场的数学方法,为探讨流变场的分配奠定了理论基础。本文从固体连续变形机制入手,重点介绍基于Eshelby理论的多尺度数值模拟思路和方法,探讨流变场分配问题。模拟结果表明:嵌入基质中的椭球体内分布的流变场主要取决于椭球体与基质间的相对流变强度,椭球体的相对流变强度越低,其变形越接近于简单剪切,且有限应变积累越快。模拟还揭示,不同流变强度的椭球体内模拟拉伸线理和面理产状的总体格局反映基质流变场特征。由此得到以下结论:(1)在流变场分配现象显著的区域,局部小尺度上应变、涡度测量分析结果无法直接揭示区域流变场运动学边界条件,对这些区域的构造变形分析必须是多尺度的;(2)基于Eshelby理论的以实质变形组构为约束的多尺度数值模拟分析,能更为合理地揭示高应变岩石中流变场的分配。
基金Project supported by the National Basic Research Program of China (No. 2004CB619303).
文摘A closed-form solution for predicting the tangential stress of an inclusion located in mixed mode Ⅰ and Ⅱ crack tip field was developed based on the Eshelby equivalent inclusion theory. Then a mixed mode fracture criterion, including the fracture direction and the critical load, was established based on the maximum tangential stress in the inclusion for brittle inclusioninduced fracture materials. The proposed fracture criterion is a function of the inclusion fracture stress, its size and volume fraction, as well as the elastic constants of the inclusion and the matrix material. The present criterion will reduce to the conventional one as the inclusion having the same elastic behavior as the matrix material. The proposed solutions are in good agreement with detailed finite element analysis and measurement.
基金Project supported by the National Basic Research Program of China (No.2004CB619303)the National Science Foundation of China (No.10572088).
文摘A plastic deformation zone near a screw dislocation is treated as an equivalent transformation inclusion by means of the Eshelby inclusion theory. A closed form solution for determining the interaction between a screw dislocation and a plastically deformed zone of an arbitrary shape is obtained by using the solution between a dislocation and an equivalent transformation inclusion.
