Time-dependent Green's functions for an anisotropic bimaterial with viscous interface |
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| Affiliation: | 1. Department of Mechanical Engineering, University of New Brunswick, Fredericton, New Brunswick E3B 5A3, Canada;2. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, PR China;1. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, India;2. Department of Mathematics, Shaheed Bhagat Singh College, University of Delhi, Delhi 110017, India;1. Heisenberg Research Group, Department of Physics, Darmstadt University of Technology, Hochschulstr. 6, D-64289 Darmstadt, Germany;2. Department of Mechanical and Aerospace Engineering, University of California Los Angeles, Los Angeles, CA 90095, USA;1. Department of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing, Jiangsu 210094, China;2. Department of Mechanical Engineering, University of Alberta, Edmonton, AB T6G 2G8, Canada |
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| Abstract: | By virtue of the Stroh formalism, we derive the exact closed-form solutions for the time-dependent two-dimensional Green's functions due to a line force and line dislocation in an anisotropic bimaterial with a viscous interface. We first reduce the boundary value problem to two coupled homogeneous first-order partial differential equations, which can be solved using a decoupling technique. The full-field expressions of the time-dependent displacements and stresses due to the line force and line dislocation interacting with the viscous interface are obtained. |
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