摘要:

This paper deals with the fracture problem for an elastic strip with an embedded and edge crack under transient thermal stresses. When the crack size is very small compared with the width of the strip, the problem is treated as a crack in a semi-infinite plate. In this study, a ramp function cooling rate will be used at boundary, which is more realistic than the step function. The problem is treated as quasi-static and the temperature dependence of thermoelastic constants are negligible. The solution is basically a superposition of the uncracked problem and the perturbation problem. The perturbation problem is formulated by using the thermal stresses for the uncracked problem, but with an opposite sign as the crack surface traction along the line of the crack. This leads to a singular integral equation, which can be solved numerically. The primary calculations for the stress intensity factor are obtained as a function of time, crack length, locations of the cracks, and the duration of the cooling rate. The temperature and thermal stress distributions in the uncracked problem are also obtained.

ISSN:0149-5739    

DOI:10.1080/01495739208946150

出版商:Taylor & Francis Group    

年代:1992

数据来源: Taylor

摘要:

Field theory of thermodynamics with internal state variables is applied to determine the restrictions imposed on the leading thermodynamic functions from which the self-consistent set of constitutive equations is derived. Noncoupling between temperature change and plastic deformation in evaluating the energy functions has been examined. The relation between the two leading functions, namely, the free energy function and the dissipation function, is clarified.

ISSN:0149-5739    

DOI:10.1080/01495739208946151

出版商:Taylor & Francis Group    

年代:1992

数据来源: Taylor

摘要:

The problem of a thick plate subjected to a moving heat source on each face is considered within the context of the theory of generalized thermoelasticity with one relaxation time. Integral transform techniques are adopted, namely, the Laplace transform for the time variable and the exponential Fourier transform for one of the space variables. Exact expressions for the temperature distribution, thermal stresses, and the displacement components are obtained in the transformed domain. A numerical approach is implemented for the inversion of both transforms in order to obtain the solution in the physical domain. Results for a particular case are computed and shown graphically. These results are compared with the corresponding results obtained using the equations of the theory of coupled thermoelasticity.

ISSN:0149-5739    

DOI:10.1080/01495739208946152

出版商:Taylor & Francis Group    

年代:1992

数据来源: Taylor

摘要:

The boundary integral formulation for unsteady thermal stresses in axisymmetric quasi-static problems is proposed. It is shown that axisymmetric unsteady thermal stress problems can be easily solved without the volume integral by means of the thermoelastic displacement potential and boundary element method. It is also shown that the time integral can be easily carried out analytically. In order to investigate the accuracy of rhis method, unsteady thermal stress distributions for a hollow circular cylinder and a torus are obtained.

ISSN:0149-5739    

DOI:10.1080/01495739208946153

出版商:Taylor & Francis Group    

年代:1992

数据来源: Taylor

摘要:

In this paper the thermally insulated curve crack problem in an infinite plate is discussed. The proposed problem can be separated into two problems, one being the heat conduction problem and the other being the thermal stress problem. In the heat conduction problem, the temperature dislocation function is taken to be the unknown function in the resulting integral equation. Unlike usual choice, the heat stream function is taken as the right-hand term of the integral equation; therefore, a new integral equation for the heat conduction problem with weakly singular kernel (logarithmic) is obtained and suggested. Meantime, in the stress problem the dislocation is taken to be the unknown function and the resultant force function to be the right-hand term in the resulting integral equation. Similarly, a weakly singular integral equation for the thermal stress problem is also obtained. The obtained integral equations is compact inform and is easy to deal with for numerical analysis. Numerical examination is used to demonstrate the efficiency of the present approach, and a number of numerical examples are given.

ISSN:0149-5739    

DOI:10.1080/01495739208946154

出版商:Taylor & Francis Group    

年代:1992

数据来源: Taylor

摘要:

In this article we examine the equations of state for the thermoelaslic response of solids, which are capable of undergoing large elastic deformations. In particular, we derive the stress-deformation-temperature relations for the homogeneous pure strain of an isotropic body at uniform temperature. These are applied to the modeling of the thermomechanics of rubberlike solids with particular reference to the uniaxial stress test. Observed thermoelaslic effects in rubber are discussed, and it is shown how these can be predicted by selecting suitable forms of free-energy function.

ISSN:0149-5739    

DOI:10.1080/01495739208946155

出版商:Taylor & Francis Group    

年代:1992

数据来源: Taylor

ISSN:0149-5739    

DOI:10.1080/01495739208946156

出版商:Taylor & Francis Group    

年代:1992

数据来源: Taylor