Multiple cracks in an elastic half-plane subjected to thermo-mechanical loading
An analytical solution is presented for the thermoelastic problem of a half-plane with several cracks under thermo mechanical loading using distributed dislocation technique. The uncoupled quasi-static linear thermoelasticity theory is adopted in which the change in temperature, if any, due to deformations is neglected. The stress field in a half-plane containing thermoelastic dislocation is obtained by means of the complex Fourier transform. Then, the problem is reduced to the solution of a set of simultaneous integral equations with Cauchy type singularities for dislocation density functions. Numerical results for the modes I and II stress intensity are presented to illustrate the effects of crack geometry and loading conditions on the stress intensity factors.Finally, the different cases of crack configurations and arrangements are examined.
Analysis of Multiple Yoffe-type Moving Cracks in an Orthotropic Half-Plane under Mixed Mode Loading Condition
The present paper deals with the mixed mode fracture analysis of a weakened orthotropic half-plane with multiple cracks propagation. The orthotropic half-plane contains Volterra type glide and climb edge dislocations. It is assumed that the medium is under in-plane loading conditions. The distributed dislocation technique is used to obtain integral equations for the dynamic problem of multiple ...متن کامل
fiber metal laminates are hybrid laminates consisting of thin alternating bonded layers of aluminum and fiber/epoxy. arall (aramid aluminum laminate) and galare (glass fiber reinforced aluminum laminate) are specific kinds of fiber metal laminates that consist of thin aluminum sheets along with kevlar/epoxy and glass/epoxy composite layers, respectively. in this study, nonlinear tensile behavio...متن کامل
In this paper, the analytical solution of an electric and Volterra edge dislocation in a functionally graded piezoelectric (FGP) medium is obtained by means of complex Fourier transform. The system is subjected to in-plane mechanical and electrical loading. The material properties of the medium vary exponentially with coordinating parallel to the crack. In this study, the rate of the gradual ch...متن کامل
It is known that hard planar acoustic screens generate null far-eld amplitude on the directions deened by the plane that encloses them. We proved in an earlier paper that this property actually characterizes plane screens among scatterers of any shape, and we generalized it to other boundary conditions. Furthermore it was proved that a single incident wave is suucient to distinguish screens tha...متن کامل
Steady Propagation of Plane Strain Shear Cracks on an Impermeable Plane in an Elastic Diffusive Solid
Quasi-static shear crack propagation in a linear elastic fluid-saturated porous solid c;Iuses a change of pore pressure on the crack plane if it is impermeable but not if it is permeable. Assuming that the pore pressure induced on the crack plane reduces the efTcclive compressive stress (total stress minus pore fluid pressure) and. as a result. the frictional resistance. we find that the energy...متن کامل
The Green's function and the boundary element method for analysing fracture behaviour of cracks in piezoelectric half-plane are presented in this paper. By combining Stroh formalism and the concept of perturbation, a general thermoelectroelastic solution for half-plane solid subjected to point heat source and/or temperature discontinuity has been derived. Using the proposed solution and the pot...متن کامل
دوره 17 شماره 2
صفحات 19- 45
تاریخ انتشار 2016-09-01
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