复合材料微观织构的数学模型  

Mathematical model of micro-texture of composite

作　　者：盛捷[1] 李俊琛[1,2] 

机构地区：[1]兰州理工大学材料科学与工程学院,甘肃兰州730050 [2]兰州理工大学甘肃省有色金属新材料重点实验室,甘肃兰州730050

出　　处：《兰州理工大学学报》2013年第4期8-11,共4页Journal of Lanzhou University of Technology

基　　金：国家自然科学基金(50271016);甘肃省自然科学基金(1208RJZA285,1208RJZA121);兰州理工大学科研发展基金(01-0278)的资助

摘　　要：复合材料失效大多数情况都起始于微观水平的破坏,比如微裂纹的萌生、扩展,直到最后的失稳断裂,而微裂纹的扩展只受附近几个晶粒影响,所以不仅要考虑这几个晶粒的取向,还要考虑边界形貌,所谓考虑边界形貌就是要引进3个位置变量.对于位置-取向空间的引出和分析搭建一个数学模型并提供解决问题的思路,基于Voronio增量算法,利用C语言编程获得复合材料微观组织几何数据信息,通过OpenGL进行可视化,模拟结果再现复合材料的真实结构,为采用数值化技术对多晶体集合进行定量分析创造条件.In most cases, composite failure begin at the moment of material damage at microscopic levels such as initiation, propagation of micro-cracks, and final its unstable fracture. Micro-crack growth was af- fected by its several vicinal grains only, so their orientation as well as the boundary morphology should be taken into consideration. The so called consideration of boundary morphology means to introduce three po- sition variables. A mathematical model was set up for derivation and analysis of position orientation space, and a way of problem solving was provided thereby. Based on Voronio increment algorithm, the geometric information of composite microstructure was obtained by means of programming with C-language and its visualization was realized through program interface OpenGL. The simulation result reproduced composite real structure, laying down a basis for quantitative analysis of multi-crystalline set with numerical technique.

关 键 词：复合材料 微观织构 宏观织构 数学模型 

分 类 号：TG115.222.4[金属学及工艺—物理冶金] TP391.75[金属学及工艺—金属学]