Elastodynamics of radially inhomogeneous spherically anisotropic elastic materials in the Stroh formalism

DOI10.1098/rspa.2011.0463zbMath1364.74018arXiv1109.2865OpenAlexW3102075302MaRDI QIDQ5345914

Andrew N. Norris, Alexander L. Shuvalov

Publication date: 7 June 2017

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.2865

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10)

Related Items (9)

On the Rayleigh surface waves on an anisotropic homogeneous thermoelastic half-space ⋮ Scattering of elastic waves by a transversely isotropic sphere and ultrasonic attenuation in hexagonal polycrystalline materials ⋮ A Stroh formalism for small-on-large problems in spherical polar coordinates ⋮ Characteristics of elastic waves in FGM spherical shells, an analytical solution ⋮ Eigenfunction expansion method to characterize Rayleigh wave propagation in orthotropic medium with phase lags ⋮ Transition matrix method for determining stress distribution of an inhomogeneity in elastostatic medium ⋮ Shape transitions in a soft incompressible sphere with residual stresses ⋮ Elastic Fingering of a Bonded Soft Disc in Traction: Interplay of Geometric and Physical Nonlinearities ⋮ Straightening wrinkles

Cites Work

• Acoustic wave interaction with a laminated transversely isotropic spherical shell with imperfect bonding
• The remarkable nature of radially symmetric equilibrium states of aeolotropic nonlinearly elastic bodies
• Generalization of the Stroh formalism to 3-dimensional anisotropic elasticity
• The remarkable nature of radially symmetric deformation of spherically uniform linear anisotropic elastic solids
• Free vibration of multi-layered spherically isotropic hollow spheres
• General formalism for plane guided waves in transversely inhomogeneous anisotropic plates
• On the theory of wave propagation in anisotropic plates
• Wave Impedance Matrices for Cylindrically Anisotropic Radially Inhomogeneous Elastic Solids
• The Frobenius Power Series Solution for Cylindrically Anisotropic Radially Inhomogeneous Elastic Materials
• A sextic formalism for three–dimensional elastodynamics of cylindrically anisotropic radially inhomogeneous materials
• Elastic Herglotz Functions
• Anisotropy consistent with spherical symmetry in continuum mechanics

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