非均质材料细观结构群体的交互作用与演化二维理论

IMECH-IR > 力学所知识产出(1956-2008)

	非均质材料细观结构群体的交互作用与演化二维理论
	玄伟剑
导师	王自强
	1999
学位授予单位	中国科学院研究生院
学位授予地点	北京
学位类别	硕士
关键词	细观结构相互作用有效模量边界配置法损伤演化复合材料 Microstructures Interaction Effective Moduli Boundary Collocation Method Evolution
英文摘要	本文在评述现有细观模型的基础上，采用严格考虑非均质材料细观结构群体相互作用的统一的求解方法，考察了细观结构(包括微裂纹、微孔洞、夹杂和纤维)对宏观刚度和强度的影响。第一部分评述了考察复合材料有效性能和强度的有代表性的细观力学模型，指出其各自的基本思路、适用范围及研究现状。第二部分针对含微裂纹和微孔洞细观结构缺陷的材料，以及颗粒和纤维增强复合材料，考察了无限大体中代表性体元的有效性能。并同其他细观力学模型及实验进行了比较。第三部分进一步提出了求解二维非均质材料有限体问题的方法。此方法考虑了细观结构之间的相互作用以及有限连界的影响。所得结果同其他方法及有限元进行了比较。第四部分讨论了夹杂间强烈的相互作用对应力强度因子的放大与屏蔽效应。针对细观尺度上的夹杂开裂、裂纹晶内扩展以及裂纹穿晶扩展等几种典型情况，直接模拟了脆性材料的损伤演化过程。最后是对全文的总结与问题讨论。; The objective of this work is to examine the effects of microstructures on macroscopic effective properties and strength of composite materials, by means of a universal method that directly accounts for the interactions between inhomogeneities. The first part evaluates existed micromechanics models for the determination of the effective properties and strength of the composite materials. The basic concepts, the limitations and the research progress of these works are also reviewed. The second part of the thesis focuses on the effective moduli of two-dimensional solids containing periodically or randomly distributed inhomogeneities, including cracks, holes, particles and fibers. The numerical results are compared with those from various effective medium theories and experimental data. The third part of the present thesis presents a general and efficient method for the solution of the elastic fields in finite solid plane which containing multiple elliptic inhomogeneities. The interacting effects between microstructures and effect of the outer boundary of the finite plate are taken into account directly. We also compare the present results with those from the existed effective medium theories and those from numerical methods, such as finite element method. The fourth part of the thesis firstly investigates the effects of strongly interaction between inhomogeneities on the stress intensity factors. Then the crack nucleation on inclusions and the small crack damage process of brittle material are simulated based on appropriate fracture criteria of intergranular growth and transgranular growth.
语种	中文
文献类型	学位论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/47479
专题	力学所知识产出(1956-2008)
推荐引用方式 GB/T 7714	玄伟剑. 非均质材料细观结构群体的交互作用与演化二维理论[D]. 北京. 中国科学院研究生院,1999.

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