On the stress field in a half-plane covered by the pre-stretched layer under the action of arbitrary linearly located time-harmonic forces

DOI10.1016/J.APM.2006.09.004zbMath1117.74026OpenAlexW1967836385MaRDI QIDQ2643391

Yanyan Li

Publication date: 23 August 2007

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2006.09.004

zbMATH Keywords

initial stressLamb's problemlinearized wave theory

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) Bulk waves in solid mechanics (74J10) Inhomogeneity in solid mechanics (74E05)

Related Items (8)

3D dynamics of a prestressed stratified half-space under the action of an oscillating moving load ⋮ Time-harmonic dynamical stress field in a system comprising a pre-stressed orthotropic layer and pre-stressed orthotropic half-plane ⋮ The stress field problem for a pre-stressed plate-strip with finite length under the action of arbitrary time-harmonic forces ⋮ FEM modelling of the time-harmonic dynamical stress field problem for a pre-stressed plate-strip resting on a rigid foundation ⋮ Finite element formulation of forced vibration problem of a prestretched plate resting on a rigid foundation ⋮ Torsional wave propagation in a pre-stressed circular cylinder embedded in a pre-stressed elastic medium ⋮ Dynamics of a system comprising an orthotropic layer and orthotropic half-plane under the action of an oscillating moving load ⋮ Mathematical modeling of dynamical stress field problem for a pre-stressed bi-layered plate-strip

Cites Work

• Axisymmetric longitudinal wave propagation in pre-stressed compound circular cylinders
• Lamb's problem for solids of general anisotropy
• The effect of finite primary deformations on harmonic waves in layered elastic media
• Interfacial and surface waves in pre-strained isotropic elastic media
• Dynamic interaction of a prestressed nonlinear elastic layer and a half-plane
• Lamb's plane problem for a compressible half-space with initial stresses
• Variational calculation of the impedance of a lossy, non-uniform mechanical transmission line
• The effect of initial stresses on harmonic stress fields within the stratified half-plane
• Green's function for two-and-a-half dimensional elastodynamic problems in a half-space
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