内压作用下球形孔洞膨胀损伤力学分析  

Simulating the mechanics of damage to geological materials with spherical cavity explosions under internal pressure

作　　者：于雪梅[1,2] 唐立强[1] 王堃[1] 

机构地区：[1]哈尔滨工程大学航天与建筑工程学院,黑龙江哈尔滨150001 [2]中航工业哈尔滨飞机工业集团有限责任公司飞机设计所,黑龙江哈尔滨150060

出　　处：《哈尔滨工程大学学报》2010年第8期1034-1038,共5页Journal of Harbin Engineering University

基　　金：黑龙江省自然科学基金资助项目(A2004-08)

摘　　要：为研究岩土材料爆炸损伤场的特点,采用受内压作用下的球形孔洞模型进行分析.利用连续介质损伤力学方法引入一个含损伤变量的自由能函数构造了损伤材料的本构方程;在此基础上,给出了球形孔洞膨胀的控制方程并应用初始损伤概念给出问题的边界条件,通过数值分析得出材料的损伤场;讨论了初始损伤和材料损伤指数对损伤区的影响.分析结果表明,损伤变量以及损伤区应力-应变场只在一定范围内连续,超过此范围材料需要采用新的本构方程加以描述.因此,损伤场的大小与材料性质、初始损伤都有关系,只有综合考虑这些影响因素,才能深入地理解材料的变形本质.To study characteristics of the damage field caused by explosions in geological materials,a spherical cavity model under internal pressure was created.An initial damage constitutive equation for geological-material was constructed.It used continuous medium damage mechanics to incorporate a free energy function into a damage variable.Then,a control equation for spherical cavity expansion was given,and the boundary conditions for solving the problem were obtained using an initial damage concept.In this way a damage field could be obtained by numerical analysis.Finally,the impact of initial damage and the material＇s damage index on damage scope were analyzed.Results showed that the damage internal variable as well as stress-strain field in the damage zone was continuous only within a certain range.Beyond this,some new constitutive equations had to be constructed to describe these materials.Therefore,the size of the damage field was connected with both material properties and initial damage.Only when considering these factors synthetically could we thoroughly understand the mechanics of deformation of geological materials.

关 键 词：球形孔洞膨胀 损伤本构方程 损伤场 损伤变量 初始损伤 

分 类 号：O346.5[理学—固体力学]