摘要:

The complete system of basic equations of linear refined dynamic theory of thermal stresses in multilayer shells is developed with allowance for transverse anisotropy of the material for each layer. It is shown that a number of general theorems of linear elasticity theory have their analogues in refined theory of thermoelastic multilayer anisotropic shells. These theorems allow one to construct methods for solving the corresponding boundary value problems for these shells.

ISSN:0149-5739    

DOI:10.1080/01495739608946157

出版商:Taylor & Francis Group    

年代:1996

数据来源: Taylor

摘要:

The problem of heat transported by conduction in an anisotropic hyperelastic solid, in which heat pulses are transmitted by waves, is considered. Two approaches are presented: the first based on a balance law for an extra thermal vector variable and the second based on the concept of a scalar internal state variable representing a potential and interpreted as a semi-empirical temperature scale. An extra term in the stress response function that represents a thermal stress due to the heat conduction is derived. In both cases Hugoniot relations for shock wave propagation are derived. Differences as well as similarities between these two models are demonstrated.

ISSN:0149-5739    

DOI:10.1080/01495739608946158

出版商:Taylor & Francis Group    

年代:1996

数据来源: Taylor

摘要:

We present the exact solution to the problem of uniform heating of a spherical body whose elastic moduli and thermal expansion coefficient vary linearly with the radius. The Frobenius series method is used to find exact expressions for the displacements and stresses. Both the radial and hoop stresses are largest in magnitude at the center of the sphere. The radial stress decays to zero at the outer edge, whereas the hoop stresses always change sign at some intermediate value of the radius. We also find an exact expression for the effective thermal expansion coefficient. For the special case where the thermal expansion coefficient varies with the radius but the elastic moduli are uniform, the effective thermal expansion coefficient of the sphere is equal to the volumetric average of the local thermal expansion coefficient. In the more general case, where the moduli also vary, the moduli variations have very little influence on the effective thermal expansion coefficient.

ISSN:0149-5739    

DOI:10.1080/01495739608946159

出版商:Taylor & Francis Group    

年代:1996

数据来源: Taylor

摘要:

Two-dimensional thermoelastic problems under axisymmetric temperature distributions are considered within the context of the theory of generalized thermoelasticity with one relaxation time. The general solution is obtained in the Laplace transform domain by using a direct approach without the customary use of potential functions. The resulting formulation is used to solve two problems of a solid sphere and of an infinite space with a spherical cavity. The surface in each case is taken to be tractionfree and subjected to a given axisymmetric temperature distribution.

ISSN:0149-5739    

DOI:10.1080/01495739608946160

出版商:Taylor & Francis Group    

年代:1996

数据来源: Taylor

摘要:

Nonhomogeneous materials, such as functionally gradient materials (FGM), have special characteristics due to arbitrarily distributed and continuously varied material properties. For such nonhomogeneous materials, the heat conduction equation is presented in a nonlinear form. In this paper, the temperature solution for such a nonlinear system is formulated approximately, and the solution of the integral form of nonuniform thermal material constants is given. Taking into account the effect of temperature dependency of material properties, the one-dimensional transient heat conduction problem of such a nonhomogeneous plate is analyzed theoretically, and the associated thermal stress distribution is formulated under the mechanical of traction-free condition. Numerical calculations are carried out for a nonhomogeneous plate made of Zirconium Oxide and Titanium alloy. The influence of a temperature dependency in material properties and of a change of nonhomogeneity affected by the temperature and the thermal stress distributions are shown in figures and examined briefly in the text.

ISSN:0149-5739    

DOI:10.1080/01495739608946161

出版商:Taylor & Francis Group    

年代:1996

数据来源: Taylor

ISSN:0149-5739    

DOI:10.1080/01495739608946162

出版商:Taylor & Francis Group    

年代:1996

数据来源: Taylor