A complete solution of the wave equations for transversely isotropic media
From MaRDI portal
Publication:2494231
DOI10.1007/s10659-005-9000-xzbMath1092.74019OpenAlexW2024328410MaRDI QIDQ2494231
Publication date: 26 June 2006
Published in: Journal of Elasticity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10659-005-9000-x
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (42)
Combined Fourier-wavelet transforms for studying dynamic response of anisotropic multi-layered flexible pavement with linear-gradual interlayers ⋮ Bonded contact of a rigid disk inclusion with a penny-shaped crack in a transversely isotropic solid ⋮ An inextensible membrane at the interface of a transversely isotropic bi-material full-space ⋮ Shear excitation of a multilayered magneto-electro-elastic half-space considering a vast frequency content ⋮ Three-dimensional dynamic Green's functions in transversely isotropic bi-materials ⋮ Three-dimensional dynamic ring load and point load Green's functions for continuously inhomogeneous viscoelastic transversely isotropic half-space ⋮ Transient response of a thermoelastic half-space to mechanical and thermal buried sources ⋮ Coupled thermoviscoelastodynamic Green's functions for bi-material half-space ⋮ A direct approach for three-dimensional elasto-static and elasto-dynamic solutions in curvilinear cylindrical coordinates with application to classical cylinder problems ⋮ Dynamic Green's functions for a liquid layer overlying a transversely isotropic solid half-space due to an arbitrary source excitation within the liquid ⋮ Elastodynamic Green's functions of transversely isotropic \(n\)-layer half- and full-spaces subjected to a surface or buried time-harmonic annular loading and associated material degeneracy ⋮ Fundamental solutions in 3D elastodynamics for the BEM: a review ⋮ Three dimensional solution of thick rectangular simply supported plates under a moving load ⋮ Benchmark solution for free vibration analysis of transversely isotropic thick rectangular plates ⋮ A tri-material elastodynamic solution for a transversely isotropic full-space ⋮ Complete solutions of three-dimensional problems in transversely isotropic media ⋮ An exact closed-form solution of three-dimensional transient Green's functions in a constrained transversely isotropic half-space ⋮ Transient interior analytical solutions of Lamb’s problem ⋮ Lamb’s problem: a brief history ⋮ Wave motion in multi-layered transversely isotropic porous media by the method of potential functions ⋮ Extended precise integration solution to layered transversely isotropic unsaturated poroelastic media under harmonically dynamic loads ⋮ A 3D BEM-FEM approach using layered transversely isotropic half-space Green's functions in the frequency domain for SSI analyses ⋮ Elastodynamics and elastostatics by a unified method of potentials for \(x_{3}\)-convex domains ⋮ General solutions of transversely isotropic multilayered media subjected to rectangular time-harmonic or moving loads ⋮ Analysis of dynamic response of two-dimensional orthotropic layered media with imperfect interfaces between layers ⋮ Dynamic analysis of multilayered unsaturated poroelastic media subjected to a vertical time-harmonic load ⋮ Solving the Navier-Lamé Equation in Cylindrical Coordinates Using the Buchwald Representation: Some Parametric Solutions with Applications ⋮ Rigid disc vibration in a multi-layered transversely isotropic poroelastic half-space underlying a liquid layer ⋮ 3D dynamic analysis of layered transversely isotropic saturated media subjected to circular moving loads ⋮ An analytical solution for bending of transversely isotropic thick rectangular plates with variable thickness ⋮ Asymmetric wave propagation in a transversely isotropic half-space in displacement potentials ⋮ Elastostatic Green's functions for an arbitrary internal load in a transversely isotropic bi-material full-space ⋮ Vertical vibration of a rigid strip footing on a transversely isotropic multilayered half-plane ⋮ Three-dimensional dynamic Green's functions in transversely isotropic tri-materials ⋮ Complete general solution for Lord-Shulman generalized thermoelastodynamics by using potential functions for transversely isotropic solids ⋮ 3-d elasticity buckling solution for simply supported thick rectangular plates using displacement potential functions ⋮ Transient Green's functions of a buried pulse in a constrained transversely isotropic half-space ⋮ Poroelastodynamic potential method for transversely isotropic fluid-saturated poroelastic media ⋮ Transient response of a transversely isotropic multilayered half-space due to a vertical loading ⋮ Elastodynamics of a multilayered transversely isotropic half-space due to the rigid motion of foundation ⋮ Axisymmetric interaction of a rigid disc with a transversely isotropic half-space ⋮ On the complete solution of the three-dimensional solid space problems based on a novel curvilinear elasticity representation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Completeness and nonuniqueness of general solutions of transversely isotropic elasticity
- Invariant and complete stress functions for general continua
- On the integration of the equations of motion in the classical theory of elasticity
- On Helmholtz's theorem and the completeness of the Papkovich-Neuber stress functions for infinite domains
- On stress functions for elastokinetics and the integration of the repeated wave equation
- THE SINGULARITY ON THE PLANE LIDS OF THE WAVE SURFACE OF ELASTIC MEDIA WITH CUBIC SYMMETRY
- Completeness of the Papkovich potentials
This page was built for publication: A complete solution of the wave equations for transversely isotropic media
