Reflection of thermoelastic wave on the interface of isotropic half-space and tetragonal syngony anisotropic medium of classes 4, 4/ m with thermomechanical effect

2016 ◽  
Vol 25 (3) ◽  
pp. 038102 ◽  
Author(s):  
Nurlybek A Ispulov ◽  
Abdul Qadir ◽  
M A Shah ◽  
Ainur K Seythanova ◽  
Tanat G Kissikov ◽  
...  
Keyword(s):  
Half Space ◽  
Anisotropic Medium ◽  
Thermoelastic Wave ◽  
Thermomechanical Effect

scholarly journals A Two-Dimensional Generalized Electromagnetothermoelastic Diffusion Problem for a Rotating Half-Space

2014 ◽  
Vol 2014 ◽  
pp. 1-12 ◽  
Author(s):  
Jingrui Zhang ◽  
Yanyan Li
Keyword(s):  
Magnetic Field ◽  
Finite Element ◽  
Half Space ◽  
Chemical Potential ◽  
Diffusion Problem ◽  
Two Dimensional ◽  
Constant Intensity ◽  
Thermoelastic Wave ◽  
Thermoelastic Diffusion ◽  
Nondimensional Temperature

In the context of the theory of generalized thermoelastic diffusion, a two-dimensional generalized electromagnetothermoelastic problem with diffusion for a rotating half-space is investigated. The rotating half-space is placed in an external magnetic field with constant intensity and its bounding surface is subjected to a thermal shock and a chemical potential shock. The problem is formulated based on finite element method and the derived finite element equations are solved directly in time domain. The nondimensional temperature, displacement, stress, chemical potential, concentration, and induced magnetic field are obtained and illustrated graphically. The results show that all the considered variables have a nonzero value only in a bounded region and vanish identically outside this region, which fully demonstrates the nature of the finite speeds of thermoelastic wave and diffusive wave.

FINITE ELEMENT METHOD TO A GENERALIZED ELECTROMAGNETO-THERMOELASTIC PROBLEM WITH DIFFUSION

2012 ◽  
Vol 04 (04) ◽  
pp. 1250046 ◽  
Author(s):  
TIANHU HE ◽  
YANYAN LI ◽  
SHUANHU SHI
Keyword(s):  
Magnetic Field ◽  
Finite Element Method ◽  
Finite Element ◽  
Half Space ◽  
Chemical Potential ◽  
Thermoelastic Problem ◽  
Constant Intensity ◽  
Thermoelastic Wave ◽  
Thermoelastic Diffusion ◽  
Element Method

In the context of the theory of generalized thermoelastic diffusion, a two-dimensional generalized electromagneto-thermoelastic problem with diffusion for a half-space is investigated. The half-space is placed in an external magnetic field with constant intensity and its bounding surface is subjected to a thermal shock and a chemical potential shock. The governing equations of the problem are formulated and solved numerically by means of finite element method. The derived finite element equations are solved directly in time domain. The nondimensional temperature, displacement, stress, chemical potential, concentration and induced magnetic field are obtained and illustrated graphically. The results show that all the considered variables have a nonzero value only in a bounded region and vanish identically outside this region, which fully demonstrates the nature of the finite speeds of thermoelastic wave and diffusive wave.

STUDY OF THERMOELASTIC WAVE PROPAGATION IN A HALF-SPACE USING GN THEORY

2000 ◽  
Vol 23 (4) ◽  
pp. 327-351 ◽  
Author(s):  
J. C. Misra, N. C. Chattopadhyay, A
Keyword(s):  
Wave Propagation ◽  
Half Space ◽  
Thermoelastic Wave

Time Domain and Frequency Domain Induced Polarization Modeling for Three-dimensional Anisotropic Medium

2017 ◽  
Vol 22 (4) ◽  
pp. 435-439
Author(s):  
Weiqiang Liu ◽  
Pinrong Lin ◽  
Qingtian Lü ◽  
Rujun Chen ◽  
Hongzhu Cai ◽  
...  
Keyword(s):  
Frequency Domain ◽  
Half Space ◽  
Anisotropic Medium ◽  
Time Domain ◽  
Three Dimensional ◽  
Induced Polarization ◽  
Model Parameters ◽  
Complex Resistivity ◽  
Cole Model ◽  
Synthetic Models

Time domain induced polarization (TDIP) and frequency domain induced polarization (FDIP) synthetic models, incorporating three-dimensional (3D) anisotropic medium, were tested. In TDIP modeling, both resistivity and chargeability of the medium were anisotropic, and the apparent chargeability values were calculated by carrying out two resistivity forward calculations using resistivity with and without an IP effect. We analyzed the TDIP response of a 3D isotropic cube model embedded in the anisotropic subsurface half-space. In FDIP modeling, the complex resistivity of the medium at various frequencies was anisotropic. The complex resistivity was determined by a Cole-Cole model with anisotropic model parameters. We then analyzed the FDIP response of a 3D anisotropic cube model embedded in an isotropic subsurface half-space. Both of the TDIP and FDIP simulation results suggest that IP responses acquired in two orthogonal directions on the surface are different when the same arrays are used and acquisition in orthogonal directions helps resolve the presence of anisotropy. The anisotropy should be taken into account in practice for TDIP and FDIP exploration.

On a technique for deriving explicit transfer matrices of orthotropic layers

2015 ◽  
Vol 37 (4) ◽  
pp. 303-315 ◽  
Author(s):  
Pham Chi Vinh ◽  
Nguyen Thi Khanh Linh ◽  
Vu Thi Ngoc Anh
Keyword(s):  
Wave Propagation ◽  
Explicit Form ◽  
Half Space ◽  
Transfer Matrix ◽  
Rayleigh Waves ◽  
Secular Equation ◽  
Transfer Matrices ◽  
Orthotropic Layer ◽  
Wave Propagation Problem ◽  
Arbitrary Thickness

This paper presents  a technique by which the transfer matrix in explicit form of an orthotropic layer can be easily obtained. This transfer matrix is applicable for both the wave propagation problem and the reflection/transmission problem. The obtained transfer matrix is then employed to derive the explicit secular equation of Rayleigh waves propagating in an orthotropic half-space coated by an orthotropic layer of arbitrary thickness.

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