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  <titleInfo>
    <title>Three-dimensional Green's function and its derivative for materials with general anisotropic magneto-electro-elastic coupling</title>
  </titleInfo>
  <name type="personal">
    <namePart>Buroni, F.C.</namePart>
  </name>
  <name type="personal">
    <namePart>Sáez, A.</namePart>
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  <abstract>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.</abstract>
  <subject>
    <topic>MAGNETO-ELECTRO-ELASTICITY; GREEN'S FUNCTION</topic>
  </subject>
  <subject>
    <topic>BOUNDARY ELEMENT METHOD</topic>
  </subject>
  <subject>
    <topic>STROH FORMALISM</topic>
  </subject>
  <subject>
    <topic>EXPLICIT EXPRESSIONS</topic>
  </subject>
  <relatedItem type="series">
    <titleInfo>
      <title>Proc. R. Soc. A, 466(2114), p.515-537, 2010</title>
    </titleInfo>
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  <identifier type="uri">https://drive.google.com/file/d/1xarRuKaYFDiGZQNTe1OuJ3pDw8zGTAEf/view?usp=drivesdk</identifier>
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