In this article, the analytical solution of the 2D problem for cracked thermoelastic fiber-reinforced anisotropic material is investigated. The boundary of the crack is due to a prescribed temperature and stress distr...
详细信息
In this article, the analytical solution of the 2D problem for cracked thermoelastic fiber-reinforced anisotropic material is investigated. The boundary of the crack is due to a prescribed temperature and stress distribution. In the case of one relaxation time, the generalized thermoelastic theory has been employed. In the transformed domain using exponential Fourier and Laplace transformations, the eigenvalues approach are used to obtain the analytical solutions. The inverse of Fourier transform has been obtained analytically. Comparisons with expected results by the absence and presence of reinforcement have been presented. Results were verified numerically and are represented graphically. (C) 2017 Elsevier Ltd. All rights reserved.
Based on the generalized thermoelastic theory postulated by Green and Lindsay(G-L), the dynamic response of an infinite rotating piezoelectric plate subject to thermal shocks on both up and bottom surfaces was investi...
详细信息
ISBN:
(纸本)9783037850770
Based on the generalized thermoelastic theory postulated by Green and Lindsay(G-L), the dynamic response of an infinite rotating piezoelectric plate subject to thermal shocks on both up and bottom surfaces was investigated. To avoid the calculation precision loss caused by the integral transform technique, the so-called direct finite element method was used to solve the governing equations in time domain directly. The distributions of the dimensionless temperature, stress, displacement and electric potential were presented graphically. The results show that the direct finite element method provides an effective way for achieving high calculation precision in solving the generalized piezoelectric-thermoelastic problem. The results also show that the rotation effect tends to decrease the dimensionless displacement and electric potential and barely affects the dimensionless temperature and stress.
The dynamic response of a thick piezoelectric plate subject to strip-like thermal shock on both surfaces is investigated. The piezoelectric plate rotates around a fixed axis with constant angular velocity, and the gen...
详细信息
The dynamic response of a thick piezoelectric plate subject to strip-like thermal shock on both surfaces is investigated. The piezoelectric plate rotates around a fixed axis with constant angular velocity, and the generalizedthermoelasticity with thermal relaxation is applied to formulating such problem. The governing equations considering the rotation effect are derived and numerically solved by means of finite element method. The distributions of dimensionless temperature, stress, displacement and electric potential are illustrated. The results show that the direct finite element method provides an effective way for achieving high calculation precision in solving the generalized piezoelectric-thermoelastic problem. The results also show that the rotation effect tends to decrease the dimensionless displacement and electric potential and barely affects the dimensionless temperature and stress.
Problems of a plane harmonic wave at the interface between two viscoelastic media are studied under generalized thermoviscoelastic theory when the media permeate into a uniform magnetic field. Using potential function...
详细信息
Problems of a plane harmonic wave at the interface between two viscoelastic media are studied under generalized thermoviscoelastic theory when the media permeate into a uniform magnetic field. Using potential function, the governing equations reduced to two four-order differential equations. Amplitude ratios of reflection and refraction of different waves with the angle of incidence are obtained using continuous boundary conditions. Some special cases are considered in the absence of effects of micropolar or viscous. By numerical calculation, the variations of amplitude ratios of reflection and refraction with the angle of incidence are shown graphically for aluminium-epoxy and magnesium crystal micropolar viscoelastic materials. Comparison among CD, LS and GL theories and effects of magnetic field, viscous and micropolar are given by numerical results in this paper. (c) 2005 Elsevier Inc. All rights reserved.
thermoelastic damping is recognized as a significant loss mechanism at room temperature in micro-scale beam resonators. In this paper, the governing equations of coupled thermoelastic problems are established based on...
详细信息
thermoelastic damping is recognized as a significant loss mechanism at room temperature in micro-scale beam resonators. In this paper, the governing equations of coupled thermoelastic problems are established based on the generalized thermoelastic theory with one relaxation time. The thermoelastic damping of micro-beam resonators is analyzed by using both the finite sine Fourier transformation method combined with Laplace transformation and the normal mode analysis. The vibration responses of deflection and thermal moment are obtained for the micro-beams with simply supported and isothermal boundary conditions. The vibration frequency is analyzed for three boundary condition cases, i.e., the clamped and isothermal, the simply supported and isothermal, and the simply supported and adiabatic. The analytic results show that the amplitude of deflection and thermal moment are attenuated and the vibration frequency is increased with thermoelastic coupling effect being considered. In addition, it can be found from both the analytic results and the numerical calculations that these properties are size-dependent. When the thickness of the micro-beam is larger than its characteristic size, the effect of thermoelastic damping weakens as the beam thickness increases. The size-effect induced by thermoelastic coupling would disappear when the thickness of the micro-beam is over a critical value that depends on the material properties and the boundary conditions. (c) 2005 Elsevier Ltd. All rights reserved.
Using micropolar generalized thermoviscoelastic theories, problems of reflection and refraction of magneto-thermoeviscoelastic waves at the interface between two viscoelastic media are studied when a uniform magnetic ...
详细信息
Using micropolar generalized thermoviscoelastic theories, problems of reflection and refraction of magneto-thermoeviscoelastic waves at the interface between two viscoelastic media are studied when a uniform magnetic field permeates the media. Coefficient ratios of reflection and refraction are obtained using continuous boundary conditions. Some special cases are considered, i.e., the absence of micropolar and viscous effects. By numerical calculations, variations of the amplitude ratios of reflection and refraction coefficients with the angle of incidence are shown graphically for incident rotational and dilatational waves at the interface between two media (one medium is aluminium-epoxy micropolar viscoelastic material, and the other is magnesium crystal micropolar viscoelastic material). Comparing the generalizedthermoelastic theories developed by Lord and Shulman (LS) and by Green and Lindsay (GL) in this paper to conventional dynamics (CD) theory the effects of a magnetic field and viscosity are shown numerically in this paper.
暂无评论