On dynamic stress analysis for cracks in elastic materials with voids |
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| Affiliation: | 1. D.I.I.M.A., University of Salerno, Via Ponte don Melillo, 84084 Fisciano (SA), Italy;2. Faculty of Mechanics and Mathematics, Rostov State University, Zorge Street 5, Rostov-on-Don 344090, Russia;1. Department of Aerospace Engineering and Engineering Mechanics, University of Texas, Austin, TX 78712, USA;2. Department of Mechanical Engineering, New Mexico State University, Las Cruces, NM 88003, USA;3. Department of Mechanical Engineering, Tufts University, Medford, MA 02155, USA;1. Department of Mathematics, Government Post Graduate College, Nalagarh 174101, HP, India;2. Department of Mathematics, Panjab University, Chandigarh 160014, India |
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| Abstract: | The present paper is concerned with the development of a semi-analytical approach to the dynamic problem of the concentration of stresses near the edges of a crack located in a porous elastic space (two-dimensional problem) and subjected to a normal oscillating load applied to the crack faces. Our analysis is made in the context of the Goodman–Cowin–Nunziato (G–C–N) theory for porous media. In previous work we studied static crack problems for such materials; now we introduce an analysis of the relevant dynamic aspects. By using the Fourier transform, the problem is reduced in explicit form to a hyper-singular integral equation with a convolution kernel valid over the crack length. Then, we apply a collocation technique developed in our previous work to solve this equation, and study the stress intensity factor. The principal goal is to compare the stress intensity factor for the static and dynamic cases. We also compare our results with the case of an ordinary linear elastic medium. |
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