01726nam a2200193Ia 4500003001000000005001700010040000900027245013000036490004800166520096700214650004901181650002801230650002001258650002501278700001701303700001501320856015601335008004101491MX-MdCICY20260521091312.0 cCICY10aThree-dimensional Green's function and its derivative for materials with general anisotropic magneto-electro-elastic coupling0 vProc. R. Soc. A, 466(2114), p.515-537, 20103 aExplicit expressions of Green's function and its derivative for three-dimensional infinite solids are presented in this paper. The medium is allowed to exhibit a fully magnetoelectro- elastic (MEE)coupling and general anisotropic behaviour. In particular, new explicit expressions for the first-order derivative of Green's function are proposed. The derivation combines extended Stroh formalism, Radon transform and Cauchy's residue theory. In order to cover mathematical degenerate and non-degenerate materials in the Stroh formalism context, a multiple residue scheme is performed. Expressions are explicit in terms of Stroh's eigenvalues, this being a feature of special interest in numerical applications such as boundary element methods. As a particular case, simplifications for MEE materials with transversely isotropic symmetry are derived. Details on the implementation and numerical stability of the proposed solutions for degenerate cases are studied.14aMAGNETO-ELECTRO-ELASTICITY; GREEN'S FUNCTION14aBOUNDARY ELEMENT METHOD14aSTROH FORMALISM14aEXPLICIT EXPRESSIONS12aBuroni, F.C.12aSáez, A.40uhttps://drive.google.com/file/d/1xarRuKaYFDiGZQNTe1OuJ3pDw8zGTAEf/view?usp=drivesdkzPara ver el documento ingresa a Google con tu cuenta: @cicy.edu.mx250602s9999 xx |||||s2 |||| ||und|d