摘要:

The transient temperature and thermal stress distributions of a ring-stiffened hollow cylinder are analyzed. The cylinder is heated by a moving line source on its inner boundary and cooled convectively on the exterior surface. To solve this problem, the Laplace transform and finite-element method are adopted. In addition, the inverse Laplace transform is accomplished by utilizing the Fourier series technique. The effects of width and thickness of the stiffening ring on the temperature and thermal stress distributions are the main factors investigated in this article. The results show that the stiffening ring can function as a fin and the axial thermal stress dominates the thermal stress field.

ISSN:0149-5739    

DOI:10.1080/01495739108927055

出版商:Taylor & Francis Group    

年代:1991

数据来源: Taylor

摘要:

A class of initial boundary value problems in the linear theory of nonlocal, homogeneous, isotropic, coupled thermoelasticity is defined. The sufficient conditions under which the energy stored in the body at a time during a thermoelastic process is positive definite, are given. Finally, it is shown that the initial boundary value problems considered in this study possess unique solutions under the assumption that the total energy is positive definite.

ISSN:0149-5739    

DOI:10.1080/01495739108927056

出版商:Taylor & Francis Group    

年代:1991

数据来源: Taylor

摘要:

Three- and two-dimensional analytical solutions are developed for the temperature due to a moving heat source with a Gaussian type distribution. The thermal stresses in a semi-infinite plane are expressed in terms of Bessel functions and exponential integrals. For nonzero values of r0v/ (2D), a dip is found for the σxxcomponent on the traction-free surface and is due to the changing sign of the temperature gradient. Parametric studies are made for different r0V/ (2D) values.

ISSN:0149-5739    

DOI:10.1080/01495739108927057

出版商:Taylor & Francis Group    

年代:1991

数据来源: Taylor

摘要:

The general, governing equations of dynamic thermoelasticity in terms of stresses are considered. Applying the approximation field to the stresses and temperature, the general form of the finite-element equations are obtained using the Galerkin method. The general traction boundary conditions are discussed. The formulations are then reduced to the one-dimensional case, and the problem of bars subjected to mechanical and thermal shocks is discussed. Assuming an isoparametric simplex element, the submatrices for the base element e are obtained and simplified. As an example, a bar of two ends free subjected to a mechanical shock at one end is considered and the plots of stress and temperature waves are obtained. The results are compared with those of the displacement formulation. While both formulations compare well, the stress formulation predicts a slightly lower value for the computed stress field that is a lower bound to the solution and offers a stiffer model.

ISSN:0149-5739    

DOI:10.1080/01495739108927058

出版商:Taylor & Francis Group    

年代:1991

数据来源: Taylor

摘要:

The present work deals with thermally induced vibrations in an infinite solid with a cavity. The medium is assumed to be linear, isotropic, temperature-rate-dependent thermoelastic. The problem is solved for the cases of cylindrical and spherical cavities. The surface of the cavity is assumed to be subjected to a temperature varying harmonically with time, and free of stress. For the cases considered, the coupled field equations admit exact solutions in terms of Hankel and the spherical Hankel functions, respectively. Numerical results are compared with those of classical ther-moelaslicity. The contribution of the second sound parameters in these problems becomes more significant as the frequency of applied termperature increases.

ISSN:0149-5739    

DOI:10.1080/01495739108927059

出版商:Taylor & Francis Group    

年代:1991

数据来源: Taylor

摘要:

The problem of the free vibrations of a sphere whose surface is kept at a constant temperature is studied. The sphere is assumed to be made of a temperature-rate-dependent thermoelastic material. The frequency equations of the torsional and the spheroidal vibrations are obtained. Because of the difficulty of solving these equations analytically, numerical solutions are given for some values of parameters. Some modes for displacements and temperature changes are plotted.

ISSN:0149-5739    

DOI:10.1080/01495739108927060

出版商:Taylor & Francis Group    

年代:1991

数据来源: Taylor

摘要:

The boundary conditions at the ends of a thermally loaded beam are important in constructing the asymptotic representation of the temperature distribution in the interior of the beam. We demonstrate a method for imposing the exact end boundary conditions and show, for an orthotropic laminated beam, that the resulting constraints on the interior temperature distribution are significantly different than those constraints obtained by imposing the end boundary conditions only on average.

ISSN:0149-5739    

DOI:10.1080/01495739108927061

出版商:Taylor & Francis Group    

年代:1991

数据来源: Taylor

摘要:

This article is concerned with axisymmetric, transient, thermal stress analysis of a hollow cylinder composed of multilayered composite laminates with temperature changes in the radial and axial directions due to axisymmetric heating from the outer and/or the inner surfaces. For analysis, we apply the methods of Fourier cosine transform and Laplace transform to the temperature field and the thermo-eiastic potential function and apply Love's displacement function to the thermo-etastic field. We then obtain the exact solutions for the temperature and thermal stress distributions in a transient state. Moreover, we apply the theoretical developments proposed in our present article into the analysis of a hollow cylinder with nonhomogeneous material properties such as a functionally gradient material.

ISSN:0149-5739    

DOI:10.1080/01495739108927062

出版商:Taylor & Francis Group    

年代:1991

数据来源: Taylor

摘要:

The coupled thermoelastic equations are derived for a material with Helmholtz free energy quadratic in the strains but with a temperature term that does not depend on (T — T0) /T0being small, where T is the temperature and T0the temperature of the body in its undeformed state. A solution is then derived for a thin-plane plate, a parabolic platelet, or a paraboloid, moving at a constant speed V in a thermoelastic medium, the constant plate temperature being T1, and (T1— T0) /T0is not necessarily small. The speed V of the plate is assumed to be small relative to elastic wave speeds of the thermoelastic medium and the plate itself is assumed to be rigid. The problem could be thought of as a model of a thin transformed plate in a solid-solid phase transformation (for a model in which elastic stresses are not considered) or as the inner solution for a plate that is not thin (for a nonlinear thermal problem of a thick rectangular rod) or as a model of a parabolic platelet or paraboloid shaped dendrite.

ISSN:0149-5739    

DOI:10.1080/01495739108927063

出版商:Taylor & Francis Group    

年代:1991

数据来源: Taylor

摘要:

An exact solution for the elastic response of a cylindrical cross-ply laminated panel subject to mechanical loading and temperature variation is derived. The three-dimensional equilibrium equations, written in terms of displacements, are reduced to a system of coupled ordinary differential equations, which are then solved using the power series method. Numerical results are presented for graphite/epoxy composites.

ISSN:0149-5739    

DOI:10.1080/01495739108927064

出版商:Taylor & Francis Group    

年代:1991

数据来源: Taylor