Three-dimensional Green's function and its derivative for materials with general anisotropic magneto-electro-elastic coupling (Record no. 46506)

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control field MX-MdCICY
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control field 20250625153850.0
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Transcribing agency CICY
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Classification number (OCLC) (R) ; Classification number, CALL (RLIN) (NR) B-12296
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Title Three-dimensional Green's function and its derivative for materials with general anisotropic magneto-electro-elastic coupling
490 0# - SERIES STATEMENT
Volume/sequential designation Proc. R. Soc. A, 466(2114), p.515-537, 2010
520 3# - SUMMARY, ETC.
Summary, etc. Explicit 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.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element MAGNETO-ELECTRO-ELASTICITY; GREEN'S FUNCTION
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element BOUNDARY ELEMENT METHOD
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Topical term or geographic name entry element STROH FORMALISM
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element EXPLICIT EXPRESSIONS
700 12 - ADDED ENTRY--PERSONAL NAME
Personal name Buroni, F.C.
700 12 - ADDED ENTRY--PERSONAL NAME
Personal name Sáez, A.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://drive.google.com/file/d/1xarRuKaYFDiGZQNTe1OuJ3pDw8zGTAEf/view?usp=drivesdk">https://drive.google.com/file/d/1xarRuKaYFDiGZQNTe1OuJ3pDw8zGTAEf/view?usp=drivesdk</a>
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