Exact transient solutions of buried dynamic point forces for elastic bimaterials |
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Authors: | Chien-Ching Ma Kuo-Cheng Huang |
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Institution: | Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan 10617, Republic of China |
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Abstract: | The exact transient closed form solutions for applying time dependent point forces at a depth below the interface of dissimilar solids are obtained in this study. The problem is solved by application of Laplace transform methods. The inverse transforms are evaluated by means of Cagniard's method. The equations of wave fronts for reflected and refracted waves induced from the bimaterial interface by the incident waves are determined in this study. The corresponding static solutions of stresses and displacements are reduced from the obtained transient solutions. Numerical results of stress fields during the transient process are obtained for different cases and compared with the corresponding static values. |
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