含弱界面结构断裂分析中辛方法
发布时间：2018-09-09 18:23
【摘要】：基于哈密顿体系,提出了一种分析含弱界面弹性材料断裂问题的辛方法.通过引入对偶变量,建立基本问题的哈密顿体系.在该体系下,问题的解可被辛本征解的级数形式所表示.利用辛本征解之间的辛共轭正交关系,以及裂纹面条件、弱界面条件和结构外边界条件,可确定辛本征解级数的待定系数,从而得到问题的解.这样,可以获得Ⅰ型和Ⅱ型广义应力强度因子解析表达式.数值结果揭示了各种边界条件对应力强度因子的影响,同时也表明该方法对复杂的混合边界条件问题更有效.
[Abstract]:Based on Hamiltonian system, a symplectic method for the analysis of fracture problems of elastic materials with weak interfaces is proposed. By introducing dual variables, the Hamiltonian system of basic problems is established. In this system, the solution of the problem can be expressed by the series form of the symplectic solution. By using the symplectic conjugate orthogonal relation between symplectic eigensolutions, crack surface conditions, weak interface conditions and structural outer boundary conditions, the undetermined coefficients of the series of symplectic eigensolutions can be determined and the solution of the problem can be obtained. In this way, the analytical expressions of generalized stress intensity factors of type I and type II can be obtained. Numerical results reveal the influence of various boundary conditions on the stress intensity factor, and it is also shown that the method is more effective for complex mixed boundary condition problems.
【作者单位】： 大连理工大学工程力学系;大连理工大学工业装备结构分析国家重点实验室;
【基金】：国家自然科学基金资助项目(11372070,11302042) “九七三”国家重点基础研究发展计划资助项目(2014CB046803) 中央高校基本科研业务费专项资金资助项目(DUT14LK41,DUT14RC(4)39)
【分类号】：O346.1
本文编号：2233204
[Abstract]:Based on Hamiltonian system, a symplectic method for the analysis of fracture problems of elastic materials with weak interfaces is proposed. By introducing dual variables, the Hamiltonian system of basic problems is established. In this system, the solution of the problem can be expressed by the series form of the symplectic solution. By using the symplectic conjugate orthogonal relation between symplectic eigensolutions, crack surface conditions, weak interface conditions and structural outer boundary conditions, the undetermined coefficients of the series of symplectic eigensolutions can be determined and the solution of the problem can be obtained. In this way, the analytical expressions of generalized stress intensity factors of type I and type II can be obtained. Numerical results reveal the influence of various boundary conditions on the stress intensity factor, and it is also shown that the method is more effective for complex mixed boundary condition problems.
【作者单位】： 大连理工大学工程力学系;大连理工大学工业装备结构分析国家重点实验室;
【基金】：国家自然科学基金资助项目(11372070,11302042) “九七三”国家重点基础研究发展计划资助项目(2014CB046803) 中央高校基本科研业务费专项资金资助项目(DUT14LK41,DUT14RC(4)39)
【分类号】：O346.1
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