摘要
损伤力学有2个主要分支:连续损伤力学和细观损伤力学。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,而且难以找到拉伸损伤变量和剪切损伤变量之间的联系,往往是只能建立两者各自独立的损伤演化方程。在弹性力学理论中利用复变函数方法能求出材料在给定的受力状态下的位移场,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,得到单元体的平均线应变,进一步分析这种线应变与单元体中裂纹的几何尺寸之间的关系,再利用弹性拉伸本构关系,就可得到脆性和准脆性材料弹性拉伸损伤的细观描述。这种方法已经分析了弹性剪切损伤的细观机理,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 has two main branches： continuum damage mechanics and micro damage mechanics. Continuum damage mechanics introduces damage variables to describe the irreversihle 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, using the method of function of the complex variable and under plane stress, the displacement field of the volume element with one micro crack is analyzed. It can get the average linear strain by the averaging method. By the analysis of the connection between the linear strain and the geometry of the crack, using the constitutive relation of elastic tension, the rneso description of the elastic tensile damage for brittle materials is established. The method has analyzed the meso-meehanisrn of elastic shear 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4期451-454,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项目(2008685)
沈阳师范大学博士科研启动基金资助项目
关键词
拉伸损伤
弹性力学
位移场
细观机理
tensile damage
elasticity
displacement field
meso-mechanism
