Transient motion of an anisotropic elastic bimaterial due to a line source |
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Affiliation: | Institute of Applied Mechanics, National Taiwan University, Taipei 106, Taiwan |
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Abstract: | The transient motion of an anisotropic elastic bimaterial due to a line force or a line dislocation is studied. The bimaterial is assumed to be at rest and stress-free for t < 0. The line source is applied at t = 0 and maintained for t > 0. A formulation which is an extension to Stroh’s formalism for anisotropic elastostatics is employed. The general solution is expressed in terms of the eigenvalues and eigenvectors of a related eigenvalue problem. The method is used to obtain the analytic solutions without the need of performing integral transforms. Numerical examples of the GaAs bimaterial due to a line force or dislocation are presented for illustration. |
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