The axisymmetric elasticity theory of cubic quasicrystal was developed in Ref. [1]. The axisymmetric elasticity problem of cubic quasicrystal is reduced to a single higher-order partial differential equation by introd...The axisymmetric elasticity theory of cubic quasicrystal was developed in Ref. [1]. The axisymmetric elasticity problem of cubic quasicrystal is reduced to a single higher-order partial differential equation by introducing a displacement function, based on which, the exact analytic solutions for the elastic field of an axisymmetric contact problem of cubic quasicrystalline materials are obtained for universal contact stress or contact displacement. The result shows that if the contact stress has order - 1/2 singularity on the edge of the contact domain, die contact displacement is a constant in the contact domain. Conversely, if the contact displacement is a constant, the contact stress must have order - 1/2 singularity on the edge of die contact domain.展开更多
This study presents a procedure for solving semi-infinite crack which is a very useful model in geophysics,seismology and engineering.With the help of conformal transformation mapping.the region in a physical plane on...This study presents a procedure for solving semi-infinite crack which is a very useful model in geophysics,seismology and engineering.With the help of conformal transformation mapping.the region in a physical plane onto the interior of a unit circle in a plane,any case of this kind of problems can be solved unifiedly,and some exact solutions are obtained.展开更多
In this paper a semi-elliptic surface crack problem in an elastic solid of finite size under impact loading is investigated. An analysis is performed by means of fracture dynamics and the finite element method, and a ...In this paper a semi-elliptic surface crack problem in an elastic solid of finite size under impact loading is investigated. An analysis is performed by means of fracture dynamics and the finite element method, and a three-dimensional finite element program is developed to compute the dynamic stress intensity factor. The results reveal that the effects of the solid's boundary surface, crack surface, material inertia and stress wave interactions play significant roles in dynamic fracture.展开更多
This letter reports some results on propagating crack in a strip,which are exact solutions with closed form and reduced to the exact solutions in static case given by the author before,as crack speed V tends to zero.T...This letter reports some results on propagating crack in a strip,which are exact solutions with closed form and reduced to the exact solutions in static case given by the author before,as crack speed V tends to zero.These results are significant in the research of seismology,materials science,and engineering.展开更多
基金the National Natural Science Foundation of China(No.19972011)
文摘The axisymmetric elasticity theory of cubic quasicrystal was developed in Ref. [1]. The axisymmetric elasticity problem of cubic quasicrystal is reduced to a single higher-order partial differential equation by introducing a displacement function, based on which, the exact analytic solutions for the elastic field of an axisymmetric contact problem of cubic quasicrystalline materials are obtained for universal contact stress or contact displacement. The result shows that if the contact stress has order - 1/2 singularity on the edge of the contact domain, die contact displacement is a constant in the contact domain. Conversely, if the contact displacement is a constant, the contact stress must have order - 1/2 singularity on the edge of die contact domain.
基金This study is supported by National Natural Science Foundation of China。
文摘This study presents a procedure for solving semi-infinite crack which is a very useful model in geophysics,seismology and engineering.With the help of conformal transformation mapping.the region in a physical plane onto the interior of a unit circle in a plane,any case of this kind of problems can be solved unifiedly,and some exact solutions are obtained.
基金Project supported by the National Natural Science Foundation of China (No.10176003).
文摘In this paper a semi-elliptic surface crack problem in an elastic solid of finite size under impact loading is investigated. An analysis is performed by means of fracture dynamics and the finite element method, and a three-dimensional finite element program is developed to compute the dynamic stress intensity factor. The results reveal that the effects of the solid's boundary surface, crack surface, material inertia and stress wave interactions play significant roles in dynamic fracture.
基金Supported by National Natural Science Foundation of China。
文摘This letter reports some results on propagating crack in a strip,which are exact solutions with closed form and reduced to the exact solutions in static case given by the author before,as crack speed V tends to zero.These results are significant in the research of seismology,materials science,and engineering.