The standard equation method in the dynamics of structurally inhomogeneous elastic media

DOI10.1016/0021-8928(84)90067-4zbMath0585.73005OpenAlexW2046615965MaRDI QIDQ1070851

Anatoly Vlasovich Chigarev

Publication date: 1984

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(84)90067-4

zbMATH Keywords

eigenvectorsrelationshiparbitrary correlation functionharmonic wave propagationHelmholtz operator equationoperator of the standard problempropagation of a mean scalar fieldroots of the dispersion equationspectra of the elastic operatorstandard equation methodstochastically inhomogeneous elastic media

Mathematics Subject Classification ID

Inhomogeneity in solid mechanics (74E05) Wave scattering in solid mechanics (74J20) Random materials and composite materials (74A40) Waves in solid mechanics (74J99)

Cites Work

• Perturbation methods in applied mathematics
• Propagation of ultrasonic waves in polycrystals of cubic symmetry with allowance for multiple scattering
• Computation of the dynamic Green's tensor of a stochastically inhomogeneous elastic medium
• Approximate reduction of the equations of the theory of elasticity and electrodynamics for inhomogeneous media to the Helmholtz equations
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