An antiplane crack problem concerning a pair of coplanar cracks in a finite transversely isotropic elastic slab is considered. Using Fourier integral transform together with singular integral equation which can be sol...An antiplane crack problem concerning a pair of coplanar cracks in a finite transversely isotropic elastic slab is considered. Using Fourier integral transform together with singular integral equation which can be solvel numerically by suing a collocation technique. Once the integral equation is solved, the relevant crack energy and stress intensity factors of the problem are given. The analysis present can be easily extended to include cases where there are two or more pairs of coplanar cracks in the slab.展开更多
The problem of a transversely isotropic elastic slab containing two coplanar cracks subjected to an antiplane deformation is considered. With the aid of an integral transform technique, we formulate the problem in ter...The problem of a transversely isotropic elastic slab containing two coplanar cracks subjected to an antiplane deformation is considered. With the aid of an integral transform technique, we formulate the problem in terms of a finite-part singular integral equation which can be solved numerically, Once the integral equation is solved, relevant quantities such as the crack energy can be readily computed.展开更多
Solutions to the equation of waves motion are derived for homogeneous and transversely isotropic media such as fiber-reinforced composites, and three dimensional slowness surfaces are shown as well. A brief discussion...Solutions to the equation of waves motion are derived for homogeneous and transversely isotropic media such as fiber-reinforced composites, and three dimensional slowness surfaces are shown as well. A brief discussion on the propagation of plane waves is given.Elastic plane waves are characterized by slowness vectors, wave vectors, polarization vectors and group velocity vectors, etc. The results obtained are presented in a coordinate-free form due to the introduction of the crystal axis' orieniation vector which specifies the anisotropy of the media. Therefore, the results are the most general and convenient for further application展开更多
文摘An antiplane crack problem concerning a pair of coplanar cracks in a finite transversely isotropic elastic slab is considered. Using Fourier integral transform together with singular integral equation which can be solvel numerically by suing a collocation technique. Once the integral equation is solved, the relevant crack energy and stress intensity factors of the problem are given. The analysis present can be easily extended to include cases where there are two or more pairs of coplanar cracks in the slab.
文摘The problem of a transversely isotropic elastic slab containing two coplanar cracks subjected to an antiplane deformation is considered. With the aid of an integral transform technique, we formulate the problem in terms of a finite-part singular integral equation which can be solved numerically, Once the integral equation is solved, relevant quantities such as the crack energy can be readily computed.
文摘Solutions to the equation of waves motion are derived for homogeneous and transversely isotropic media such as fiber-reinforced composites, and three dimensional slowness surfaces are shown as well. A brief discussion on the propagation of plane waves is given.Elastic plane waves are characterized by slowness vectors, wave vectors, polarization vectors and group velocity vectors, etc. The results obtained are presented in a coordinate-free form due to the introduction of the crystal axis' orieniation vector which specifies the anisotropy of the media. Therefore, the results are the most general and convenient for further application
