Structural Engineering and Mechanics

  • 제4권5호
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  • Pages.469-484
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  • 1996
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Closed-form Green's functions for transversely isotropic bi-solids with a slipping interface

  • Yue, Zhong Qi (Infrastructure Laboratory, Institute for Research in Construction, National Research Council of Canada)
  • 발행 : 1996.09.25
⟨ 이전 논문 다음 논문 ⟩

초록

Green's functions are obtained in exact closed-forms for the elastic fields in bi-material elastic solids with slipping interface and differing transversely isotropic properties induced by concentrated point and ring force vectors. For the concentrated point force vector, the Green functions are expressed in terms of elementary harmonic functions. For the concentrated ring force vector, the Green functions are expressed in terms of the complete elliptic integral. Numerical results are presented to illustrate the effect of anisotropic bi-material properties on the transmission of normal contact stress and the discontinuity of lateral displacements at the slipping interface. The closed-form Green's functions are systematically presented in matrix forms which can be easily implemented in numerical schemes such as boundary element methods to solve elastic problems in computational mechanics.

키워드

참고문헌

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피인용 문헌

  1. Efficient and accurate multi-layered elastostatic Green's functions via the bi-material Green's function vol.31, pp.8, 2007, https://doi.org/10.1016/j.enganabound.2006.12.006
  2. Yue’s solution of classical elasticity in n-layered solids: Part 2, mathematical verification vol.9, pp.3, 2015, https://doi.org/10.1007/s11709-015-0299-5
  3. Stresses and displacements of a transversely isotropic elastic halfspace due to rectangular loadings vol.29, pp.6, 2005, https://doi.org/10.1016/j.enganabound.2005.01.015
  4. Elastic fields in two joined transversely isotropic media of infinite extent as a result of rectangular loading vol.37, pp.3, 2013, https://doi.org/10.1002/nag.1098
  5. Response of bimaterials with interfacial tension subjected to axisymmetric body force pp.1741-3028, 2019, https://doi.org/10.1177/1081286518820086
  6. Fundamental Solutions for Bimaterials with Inextensible Interface vol.122, pp.11, 1996, https://doi.org/10.1061/(asce)0733-9399(1996)122:11(1052)