QUASI-STATIC DEFORMATION CAUSED BY A LONG TENSILE DISLOCATION IN AN ELASTIC HALF-SPACE IN WELDED CONTACT WITH A POROELASTIC HALF-SPACE

2012 ◽  
Vol 15 (3) ◽  
pp. 283-291 ◽  
Author(s):  
Raman Kumar ◽  
Sunita Rani ◽  
Sarva Jit Singh
Keyword(s):  
Half Space ◽  
Elastic Half Space ◽  
Static Deformation

Static deformation of a multilayered magneto-electro-elastic half-space structures due to vertical inner loading

2021 ◽  
pp. 108128652110495
Author(s):  
Peizhuo Wang ◽  
Dongchen Qin ◽  
Peng Shen ◽  
Jiangyi Chen
Keyword(s):  
Half Space ◽  
Vector Function ◽  
Stiffness Matrix ◽  
Matrix Method ◽  
Gaussian Quadrature ◽  
Elastic Half Space ◽  
Point Load ◽  
Static Deformation ◽  
Function System ◽  
Adaptive Gaussian Quadrature

The static deformation in a multilayered magneto-electro-elastic half-space under vertical inner loading is calculated using a vector function system approach and a stiffness matrix method. Firstly, the displacement, stress, and inner loading are expanded using the vector function system, and the N-type and L&M-type problems related to the expansion coefficient are constructed. Secondly, the stable stiffness matrix method is used to solve the expansion coefficients of the L&M-type problem. After introducing the boundary condition and the discontinuity of the stress caused by inner loading, the displacement and stress are calculated through adaptive Gaussian quadrature. Finally, the numerical examples considering the circular load and point load are designed and analyzed, respectively.

EFFECT OF IRREGULARITY ON STATIC DEFORMATION OF ELASTIC HALF-SPACE

2008 ◽  
Vol 22 (14) ◽  
pp. 2241-2253
Author(s):  
M. M. SELIM
Keyword(s):  
Fourier Transform ◽  
Closed Form ◽  
Half Space ◽  
Elastic Half Space ◽  
Static Deformation ◽  
Horizontal Distance ◽  
Two Dimensional ◽  
Eigenvalue Approach ◽  
Line Load ◽  
Rectangular Shape

In the present paper, the problem of two-dimensional static deformation of an isotropic elastic half-space of irregular thickness has been studied using the eigenvalue approach, following a Fourier transform. The irregularity is expressed by a rectangular shape. As an application, the normal line-load acting inside an irregular isotropic half-space has been considered. Further, the results for the displacements have been derived in the closed form. To examine the effect of irregularity, variations of the displacements with horizontal distance have been shown graphically for different values of irregularity size, and they are compared with those for the medium with uniform shape. It is found that irregularity affects the deformation significantly.

Deformation of a multilayered half-space by stress dislocations and concentrated forces

1971 ◽  
Vol 61 (6) ◽  
pp. 1625-1637 ◽  
Author(s):  
Sarva Jit Singh
Keyword(s):  
Free Surface ◽  
Dynamic Response ◽  
Point Source ◽  
Half Space ◽  
Elastic Half Space ◽  
Static Deformation ◽  
Source Level ◽  
Concentrated Forces ◽  
Layered Half Space

abstract The problem of the static and dynamic response of a nonhomogeneous, isotropic, elastic half-space to stress dislocations and concentrated forces is discussed. Integral expressions for the displacements are obtained in the case of a two-layered half-space. Results of Singh (1970) are used to study the static deformation of a multilayered half-space caused by a point source placed at an arbitrary depth below the free surface. The source is represented as a discontinuity in the z-dependent coefficients of the displacement and stress integrands at the source level.

The efficiency of application of virtual cross-sections method and hypotheses MELS in problems of wave signal propagation in elastic waveguides with rough surfaces

2016 ◽  
pp. 3564-3575 ◽  
Author(s):  
Ara Sergey Avetisyan
Keyword(s):  
Half Space ◽  
Cross Sections ◽  
Classical Method ◽  
Signal Propagation ◽  
Elastic Half Space ◽  
Layered Systems ◽  
Surface Layers ◽  
Inhomogeneous Surface ◽  
Wave Signal ◽  
The Impact

The efficiency of virtual cross sections method and MELS (Magneto Elastic Layered Systems) hypotheses application is shown on model problem about distribution of wave field in thin surface layers of waveguide when plane wave signal is propagating in it. The impact of surface non-smoothness on characteristics of propagation of high-frequency horizontally polarized wave signal in isotropic elastic half-space is studied. It is shown that the non-smoothness leads to strong distortion of the wave signal over the waveguide thickness and along wave signal propagation direction as well.  Numerical comparative analysis of change in amplitude and phase characteristics of obtained wave fields against roughness of weakly inhomogeneous surface of homogeneous elastic half-space surface is done by classical method and by proposed approach for different kind of non-smoothness.

Guided Surface Waves on an Elastic Half Space

1971 ◽  
Vol 38 (4) ◽  
pp. 899-905 ◽  
Author(s):  
L. B. Freund
Keyword(s):  
Wave Propagation ◽  
Surface Wave ◽  
Surface Waves ◽  
Half Space ◽  
Body Wave ◽  
Three Dimensional ◽  
Elastic Half Space ◽  
Normal Displacement ◽  
Rigid Barrier ◽  
Wave Disturbances

Three-dimensional wave propagation in an elastic half space is considered. The half space is traction free on half its boundary, while the remaining part of the boundary is free of shear traction and is constrained against normal displacement by a smooth, rigid barrier. A time-harmonic surface wave, traveling on the traction free part of the surface, is obliquely incident on the edge of the barrier. The amplitude and the phase of the resulting reflected surface wave are determined by means of Laplace transform methods and the Wiener-Hopf technique. Wave propagation in an elastic half space in contact with two rigid, smooth barriers is then considered. The barriers are arranged so that a strip on the surface of uniform width is traction free, which forms a wave guide for surface waves. Results of the surface wave reflection problem are then used to geometrically construct dispersion relations for the propagation of unattenuated guided surface waves in the guiding structure. The rate of decay of body wave disturbances, localized near the edges of the guide, is discussed.

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