Fundamental solutions of the equations of the oscillation theory for anisotropic elastic media

DOI10.3103/s002565442360006xOpenAlexW4387781457MaRDI QIDQ6180794

Alla V. Ilyashenko

Publication date: 22 January 2024

Published in: Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s002565442360006x

zbMATH Keywords

convergenceharmonic vibrationHelmholtz equationsingular solutionmultipole series solution

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Anisotropy in solid mechanics (74E10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Moving oscillating loads in 2D anisotropic elastic medium: plane waves and fundamental solutions
• Boundary integral equation methods and numerical solutions. Thin plates on an elastic foundation
• Non-homogeneous media and vibration theory
• Boundary element solution for half-plane problems
• Alternate BEM formulations for 2- and 3-D anisotropic thermoelasticity
• Inverse acoustic and electromagnetic scattering theory.
• Free vibration analysis of anisotropic solids with the boundary element method.
• The method of fundamental solutions for scattering and radiation problems.
• Far field dynamic Green's functions for BEM in transversely isotropic solids
• Fundamental solutions in antiplane elastodynamic problem for anisotropic medium under moving oscillating source
• Nonlinear algebraic analysis of delta shock wave solutions to Burgers' equation.
• Elementary analytical integrals required in subtraction of singularity method for evaluation of weakly singular boundary integrals
• WITHDRAWN: ``Closed form analytical solution for dispersion of Lamb waves in FG plates
• Evaluation of the Helmholtz boundary integral equation and its normal and tangential derivatives in two dimensions
• Time domain Boundary Element Method approaches in elastodynamics: A comparative study
• Boundary element solution for elastic orthotropic half-plane problems
• On modified Green functions in exterior problems for the Helmholtz equation
• Efficient implementation of anisotropic three dimensional boundary-integral equation stress analysis
• Dynamic Green’s functions in anisotropic piezoelectric, thermoelastic and poroelastic solids
• Surface waves of non-Rayleigh type
• Théories spectrales
• Boundary Integral Equations for the Three-Dimensional Helmholtz Equation

This page was built for publication: Fundamental solutions of the equations of the oscillation theory for anisotropic elastic media