摘要
损伤力学以含微观缺陷的材料为研究对象,分析微裂纹或微孔洞对材料宏观力学性能的影响以及损伤的演化过程。在连续损伤力学理论中,许多学者采用引入损伤变量到材料的本构方程中的办法,来反映材料的不可逆变化过程,这种方法在工程应用中具有简单实用的优点,但损伤变量的物理意义不是特别清晰,难以深入到损伤过程的物理学与力学本质。在弹性力学理论中利用复变函数方法能求出材料的位移场,在此基础上,可分析平面应力条件下含一条微裂纹的单元体边界处和裂纹面上的位移场,通过平均化的方法,得到单元体的平均剪应变,进一步分析这种剪应变与单元体中裂纹的几何尺寸之间的关系,再利用弹性剪切本构关系,就可得到脆性和准脆性材料弹性剪切损伤的细观描述。这种方法还可适用于弹性拉伸损伤的细观机理的研究,对进一步建立含有随机裂纹材料的宏细观相结合的损伤理论是很有意义的。
Damage mechanics studies the materials with micro defects to analyze the influence of the macro mechanical behavior by the micro crack and the course of damage evolution. Continuum damage mechanics introduces damage variables to describe the irreversible process of materials. The method is simple in the engineering application, but the physical meanings of the variables are not clear to deep into the mechanical essence. Based on the theory of elasticity, under plane stress, the displacement field of the volume element with one micro crack is analyzed. It can get the average shear strain by the averaging method. By the analysis of the connection between the shear strain and the geometry of the crack and the elastic shear constitutive relation, the meso description of the elastic shear damage for brittle materials is established. The method can be used to study the meso-mechanism of the elastic tension damage and can also be extend to the study of the macro-and meso-damage theory for the materials with random cracks.
出处
《沈阳师范大学学报（自然科学版）》
CAS
2013年第1期21-24,共4页
Journal of Shenyang Normal University:Natural Science Edition
基金
辽宁省教育厅高等学校科学研究计划项目(2008685)
沈阳师范大学博士启动基金资助项目
关键词
剪切损伤
弹性力学
位移场
细观机理
shear damage
elasticity
displacement field
meso-mechanism
