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<p>We derive three-dimensional Green’s function solutions corresponding to the problem of a point force in a bimaterial consisting of two transversely isotropic elastic half-spaces bonded along a planar viscous interface. The interface is parallel to the isotropic plane of each medium. Exact closed-form solutions are derived when the point force is normal or parallel to the isotropic plane. We obtain explicit expressions for the time-dependent displacements and stresses in each half-space. The elastic fields evolve with a single intrinsic velocity when the point force is normal to the interface and evolve with two intrinsic velocities when the point force is parallel to the interface.</p>

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Three-dimensional Green’s functions for a transversely isotropic elastic bimaterial with viscous interface

  • 期刊论文

  • 发表日期：

    2025年5月30日

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  • Xu Wang,
  • Peter Schiavone

摘要

We derive three-dimensional Green’s function solutions corresponding to the problem of a point force in a bimaterial consisting of two transversely isotropic elastic half-spaces bonded along a planar viscous interface. The interface is parallel to the isotropic plane of each medium. Exact closed-form solutions are derived when the point force is normal or parallel to the isotropic plane. We obtain explicit expressions for the time-dependent displacements and stresses in each half-space. The elastic fields evolve with a single intrinsic velocity when the point force is normal to the interface and evolve with two intrinsic velocities when the point force is parallel to the interface.