Derivatives of the three-dimensional Green's functions for anisotropic materials

DOI10.1016/j.ijsolstr.2009.06.002zbMath1167.74365OpenAlexW2002989635MaRDI QIDQ837892

Ven-Gen Lee

Publication date: 21 August 2009

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijsolstr.2009.06.002

zbMATH Keywords

Green's functionsdegenerate caseanisotropic elastic materialsCauchy residue theoremstroh eigenvalues

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Anisotropy in solid mechanics (74E10)

Related Items (4)

Transient dynamic analysis of generally anisotropic materials using the boundary element method ⋮ On two accurate methods for computing 3D Green's function and its first and second derivatives in piezoelectricity ⋮ Unique real-variable expressions of the integral kernels in the somigliana stress identity covering all transversely isotropic elastic materials for 3D BEM ⋮ Multiple pole residue approach for 3D BEM analysis of mathematical degenerate and non-degenerate materials

Cites Work

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• Explicit expression of derivatives of elastic Green's functions for general anisotropic materials.
• Residue approach for evaluating the 3D anisotropic elastic Green's function: multiple roots
• Point Force Solution for an Infinite Transversely Isotropic Solid
• Efficient implementation of anisotropic three dimensional boundary-integral equation stress analysis
• Evaluation of the anisotropic Green's function and its derivatives
• The three-dimensional elastostatic Green's function for general anisotropic linear elastic solids

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