Time-domain reciprocity theorems for elastodynamic wave fields in solids with relaxations and their application to inverse problems

DOI10.1016/0165-2125(88)90050-9zbMath0656.73019OpenAlexW2092143022MaRDI QIDQ1110372

Hendrik J. Stam, Adrianus T. de Hoop

Publication date: 1988

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-2125(88)90050-9

zbMATH Keywords

anisotropylineararbitrary relaxation effectsfull space-time methodInhomogeneitylocally reacting solidstime-convolutiontime-correlationtime-invariant configurations

Mathematics Subject Classification ID

Inverse problems for waves in solid mechanics (74J25)

Related Items (3)

Elastic wave up/down decomposition in inhomogeneous and anisotropic media: An operator approach and its approximations ⋮ Theoretical considerations on a finite-element method for the computation of three-dimensional space-time elastodynamic wave fields ⋮ Reciprocal absorbing boundary condition for the time-domain numerical analysis of wave motion in unbounded layered media

Cites Work

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• On the linear theory of viscoelasticity
• Some theorems in classical elastodynamics
• Limitations and defects of certain inverse scattering theories
• Generalized reaction principles and reciprocity theorems for the wave equations, and the relationship between the time-advanced and time-retarded fields
• An elastodynamic reciprocity theorem for linear, viscoelastic media
• An application of the dynamic Betti-Rayleigh reciprocal theorem to moving-point loads in elastic media
• [https://portal.mardi4nfdi.de/wiki/Publication:5828542 �ber den Reziprozit�tssatz in der Dynamik der elastischen K�rper]

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