ISSN:0149-5739    

DOI:10.1080/01495738908961967

出版商:Taylor & Francis Group    

年代:1989

数据来源: Taylor

摘要:

The purpose of the paper is twofold. First, we derive certain relationships between the stress tensor components and the field of temperature for a coated solid body. Second, we solve a particular problem with axial symmetry, and draw pertinent conclusions.

ISSN:0149-5739    

DOI:10.1080/01495738908961968

出版商:Taylor & Francis Group    

年代:1989

数据来源: Taylor

摘要:

A general finite-element model is proposed to deal with dynamic transient response in a square cylinder with an elliptical hole by generalized coupled thermoelastic theory, especially for a long transient period. The method consists of formulating and solving the problem in the Laplace transform domain by the finite-element method and then numerically inverting the transformed solution to obtain the time-domain response. Therefore, the transient solutions at any time can be evaluated directly. Some numerical results, which demonstrate the accuracy, efficiency, and versatility of the proposed method, are presented. Moreover, the effects of the thermoelastic coupling term, inertia term, and relaxation times on solutions are investigated and discussed.

ISSN:0149-5739    

DOI:10.1080/01495738908961969

出版商:Taylor & Francis Group    

年代:1989

数据来源: Taylor

摘要:

Thermal stresses along the bonded interfaces in a multilayer beam, caused by the different thermal expansion coefficients of the layers, are investigated. The present theory treats each layer as a higher-order beam-type plate with appropriate interface and surface conditions. As an example, numerical results are shown for the two-layer beam problem and compared to finite-element results and numerical results from other approximate theories.

ISSN:0149-5739    

DOI:10.1080/01495738908961970

出版商:Taylor & Francis Group    

年代:1989

数据来源: Taylor

摘要:

An elasticity solution for thermal stresses in sandwich plates under uniform temperature changes is presented. The interlayer shear stresses are considered in this analysis for the first time. For comparison, the finite-element method is used. Analytical and numerical results are found in good agreements. To facilitate the practical applications of the present solution, simple formulas are derived to calculate the maximum normal stress in skins and interlayer shear stresses in sandwich plates under temperature changes.

ISSN:0149-5739    

DOI:10.1080/01495738908961971

出版商:Taylor & Francis Group    

年代:1989

数据来源: Taylor

摘要:

This study applies the theory of continuum thermodynamics with internal state variables to determine the nature of and the restrictions on the constitutive response functions of inelastic solids. An explicit expression for the Helmholtz free energy functional is then proposed leading to explicit expressions for stress and entropy functionals in terms of thermodynamic state variables. The temperature-dependent thermoinelastic material properties involved are determined by a novel application of the results of thermodynamics, materials science and mechanics experiments, and mathematical analysis. The state equations in conjunction with the heat conduction equation and the evolution laws for the internal state variables give a complete formulation of the constitutive relations. The nonlinear material model so developed is applicable over a wide range of temperatures and takes into consideration thermomechanical coupling in addition to the coupling of thermoelastic and thermoinelastic variables. It also explicitly gives the dissipative part of the stress thereby eliminating the need for a separate dissipation potential. It is suitable for thermomechanical studies under nonisothermal and nonadiabatic situations.

ISSN:0149-5739    

DOI:10.1080/01495738908961972

出版商:Taylor & Francis Group    

年代:1989

数据来源: Taylor

摘要:

This paper deals with thermal shock, problems of elastic bodies with a crack. The case considered is that of an infinitely long circular cylinder with an edge crack, and a homogeneous flat plate with an edge crack initially at uniform temperature and suddenly immersed into a medium of lower temperature. The thermal disturbance near the crack tip is assumed to be neglible in the analysis of the temperature field because thermal shocks occur very quickly. We analyze the transient thermal stress problems of elastic solids with a crack and determine the stress intensity factor at the crack tip. The nondimensional maximum transient stress intensity factor is expressed as a function of the Biot number and the nondimensional crack length. Then we propose simplified formulations of the nondimensional maximum transient stress intensity factor as a function of the Biot number and the nondimensional crack length.

ISSN:0149-5739    

DOI:10.1080/01495738908961973

出版商:Taylor & Francis Group    

年代:1989

数据来源: Taylor

摘要:

This paper deals with one-dimensional generalized thermoelasticity based on the theories of Lord and Shulman and of Green and Lindsay. A formulation of generalized thermoelasticity that combines both generalized theories is derived. The generalized thermoelastic problems for an infinite solid with a cylindrical hole and an infinite solid with a spherical hole are analyzed by means of the Laplace transform technique. Numerical calculations for temperature, displacement, and stresses under the generalized formulation are carried out and compared with those of classical dynamic coupled theory.

ISSN:0149-5739    

DOI:10.1080/01495738908961974

出版商:Taylor & Francis Group    

年代:1989

数据来源: Taylor

摘要:

The paper is devoted to propagation of a temperature field of the soliton type in a nonlinear rigid heat conductor in which both the free energy and the heat-flux vector depend not only on the absolute temperature but also on “elastic” heat flow that satisfies an evolution equation. This equation together with the energy conservation law lead to a nonlinear coupled system of partial differential equations from which the temperature and elastic heat flow fields are to be found. It is shown that for a one-dimensional case, the system admits a closed-form solution of the soliton type, and the soliton's velocity is uniquely defined in terms of the elastic heat flow at infinity. A qualitative analysis of the solution is also included.

ISSN:0149-5739    

DOI:10.1080/01495738908961975

出版商:Taylor & Francis Group    

年代:1989

数据来源: Taylor