侧压对材料有效压缩模量的影响  

Influence of lateral pressure on effective compression modulus of materials

作　　者：崔崧[1] 陈岚峰[1] 张治国[1] 

机构地区：[1]沈阳师范大学物理科学与技术学院,沈阳110034

出　　处：《沈阳师范大学学报（自然科学版）》2017年第1期39-42,共4页Journal of Shenyang Normal University:Natural Science Edition

基　　金：辽宁省教育厅科学研究一般项目(L2014442)

摘　　要：损伤力学是固体力学的一个分支,是材料变形与破坏理论的重要组成部分。损伤力学的研究方法有宏观和细观之分,宏观方法更便于工程实际的应用,而细观方法有着更为清晰的物理背景。复杂应力状态下裂纹面间的正应力和剪应力的分析是损伤力学中经常涉及的问题,可以用宏观损伤理论分析侧压条件下裂纹面的闭合应力,从而得到裂纹面间的正应力,然后在弹性力学理论的基础上,利用细观力学分析中的某种平均化方法,推导出脆性和准脆性材料沿裂纹面法线方向的压缩应力-应变本构关系,同时可得到侧压条件下材料的有效压缩模量。计算结果表明,侧压和裂纹面的闭合应力对材料的压缩杨氏模量有一定的影响。由该理论得到的裂纹面间的正应力可知裂纹面间的剪应力,由此可分析考虑摩擦效应的有效剪切模量。Damage mechanics is a branch of solid mechanics,which is an important part of the theory of deformation and failure of materials.There are two main research methods：macro and meso view,the former is more convenient for engineering application,and the latter has a more clearly physical background.The analysis of the normal stress and the shear stress between the crack surfaces in complex stress state is often involved in damage mechanics.Using the macro damage theory to analyze the crack closure stress under lateral pressure,the normal stress between the crack surfaces can be obtained,and then based on the theory of elasticity,using some averaging method of mesomechanics,the stress-strain constitutive relation of compression in the normal direction for brittle solids can be deduced,and simultaneously get the effective compression modulus under the lateral pressure.The calculate results show that the lateral pressure and the crack closure stress can have some effect on the compressive Young＇s modulus.The shear stress between the crack surfaces can be obtained by this theory.The effective shear modulus can be analyzed through considering the frictional effect.

关 键 词：损伤力学 弹性力学 侧压 裂纹面 杨氏模量 

分 类 号：O343.1[理学—固体力学]