The antiplane problem of circular arc rigid line inclusions under antiplane concentrated force and longitudinal shear loading was dealt with. By using Riemann-Schwarz's symmetry principle integrated with the singu...The antiplane problem of circular arc rigid line inclusions under antiplane concentrated force and longitudinal shear loading was dealt with. By using Riemann-Schwarz's symmetry principle integrated with the singularity analysis of complex functions, the general solution of the problem and the closed form solutions for some important practical problems were presented. The stress distribution in the immediate vicinity of circular arc rigid line end was examined in detail. The results show that the singular stress fields near the rigid inclusion tip possess a square-root singularity similar to that for the corresponding crack problem under antiplane shear loading, but no oscillatory character. Furthermore, the stresses are found to depend on geometrical dimension, loading conditions and materials parameters. Some practical results concluded are in agreement with the previous solutions.展开更多
By using Fourier transformation the boundary problem of periodical interfacial cracks in anisotropic elastoplastic bimaterial was transformed into a set of dual integral equations and then it was further reduced by me...By using Fourier transformation the boundary problem of periodical interfacial cracks in anisotropic elastoplastic bimaterial was transformed into a set of dual integral equations and then it was further reduced by means of definite integral transformation into a group of singular equations. Closed form of its solution was obtained and three corresponding problems of isotropic bimaterial, of a single anisotropic material and of a bimaterial of isotropy- anisotropy were treated as the specific cases. The plastic zone length of the crack tip and crack openning displacement ( COD) decline as the smaller yield limit of the two bonded materials rises, and they were also determined by crack length and the space between two neighboring cracks . In addition , COD also relates it with moduli of the materials .展开更多
The elastic field of the infinite homogeneous medium with two circular cylindrical inclusions under the action of a screw dislocation was investigated. The analytical solution was obtained using the conformal mapping...The elastic field of the infinite homogeneous medium with two circular cylindrical inclusions under the action of a screw dislocation was investigated. The analytical solution was obtained using the conformal mapping and the theorem of analytical continuation. It has been shown that the elastic field depends on the shear moduli of individual phase, the geometric parameters of the system, and the position and relative slip of the screw dislocation. The specific cases, that two circular cylindrical inclusions are tangent to each other and the screw dislocation is located in inclusions, were considered. The numerical results were illustrated to show the interaction between the dislocation and two circular cylindrical inclusions. (Edited author abstract) 13 Refs.展开更多
文摘The antiplane problem of circular arc rigid line inclusions under antiplane concentrated force and longitudinal shear loading was dealt with. By using Riemann-Schwarz's symmetry principle integrated with the singularity analysis of complex functions, the general solution of the problem and the closed form solutions for some important practical problems were presented. The stress distribution in the immediate vicinity of circular arc rigid line end was examined in detail. The results show that the singular stress fields near the rigid inclusion tip possess a square-root singularity similar to that for the corresponding crack problem under antiplane shear loading, but no oscillatory character. Furthermore, the stresses are found to depend on geometrical dimension, loading conditions and materials parameters. Some practical results concluded are in agreement with the previous solutions.
基金the National Natural Science Foundation of China (19872076) the Postdoctoral Science Foundation of China (00-2001)the National Natural Science Foundation of China for Out-sanding Young Scientists (19925209)
文摘By using Fourier transformation the boundary problem of periodical interfacial cracks in anisotropic elastoplastic bimaterial was transformed into a set of dual integral equations and then it was further reduced by means of definite integral transformation into a group of singular equations. Closed form of its solution was obtained and three corresponding problems of isotropic bimaterial, of a single anisotropic material and of a bimaterial of isotropy- anisotropy were treated as the specific cases. The plastic zone length of the crack tip and crack openning displacement ( COD) decline as the smaller yield limit of the two bonded materials rises, and they were also determined by crack length and the space between two neighboring cracks . In addition , COD also relates it with moduli of the materials .
基金The project supported by the National Natural Science Foundation of China,the State Education Commission Foundation and Failure Mechanics Lab of the State Education Commission.
文摘The elastic field of the infinite homogeneous medium with two circular cylindrical inclusions under the action of a screw dislocation was investigated. The analytical solution was obtained using the conformal mapping and the theorem of analytical continuation. It has been shown that the elastic field depends on the shear moduli of individual phase, the geometric parameters of the system, and the position and relative slip of the screw dislocation. The specific cases, that two circular cylindrical inclusions are tangent to each other and the screw dislocation is located in inclusions, were considered. The numerical results were illustrated to show the interaction between the dislocation and two circular cylindrical inclusions. (Edited author abstract) 13 Refs.
