摘要:

A method of solving the problem of thermal stresses for composite Cosserat elastic cylinders is given, where the cross section of the cylinder is occupied by inhomogeneous and isotropic elastic materials. The thermoelastic coefficients are independent of the axial coordinate

ISSN:0149-5739    

DOI:10.1080/01495737808926938

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor

摘要:

A uniqueness theorem for the stress-temperature equations of linear thermoelasticity proposed by Green and Lindsay is established. The theorem covers an unconventional initial-boundary-value problem with arbitrary initial tensorial data.

ISSN:0149-5739    

DOI:10.1080/01495737808926939

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor

摘要:

In this paper a uniqueness theorem for the solutions of the differential equations of thermopiezoelectricity is given, on the basis of the energy balance. The generalized Hamilton principle and the theorem of reciprocity of work are also deduced.

ISSN:0149-5739    

DOI:10.1080/01495737808926940

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor

摘要:

The paper begins with a statement of a reciprocal theorem in thermoelasticity based on a generalization of Betti's reciprocal theorem. This is followed by the application to and solution of a simply supported curved plate, cut from a complete thin-walled cylindrical shell of radius a, subject to an arbitrary three-dimensional temperature distribution. The general solution is then used to determine the stresses and displacements resulting from a specified three-dimensional temperature distribution. The results are presented as non-dimensional curves. The usefulness of the theorem resides in the fact that, by appropriate application, existing solutions in elasticity may be used to obtain solutions of thermoelastic problems.

ISSN:0149-5739    

DOI:10.1080/01495737808926941

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor

摘要:

The mechanocaloric effect on magnetothermoelastostatic interactions in a cylindrical conductor carrying a uniform electric current is investigated. It is found that this effect reduces the Joule heating effect and induces non-linearity into the behavior of stresses. A condition under which the mechanocaloric effect nullifies the Joule effect is also obtained.

ISSN:0149-5739    

DOI:10.1080/01495737808926942

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor

摘要:

This paper is a theoretical analysis of the thermoelastic effect upon accuracy in the machining of metals. The problem is reduced to the unsteady thermoelastic analysis of a solid cylinder heated on the surface axisym-metrically by a moving heat source under an axial restraint. The thermal and elastic distortions of the workpiece are computed, and the error in the shape is plotted.

ISSN:0149-5739    

DOI:10.1080/01495737808926943

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor

摘要:

This paper presents a theoretical study of the stresses in an infinite circular solid cylinder subjected to rapid surface heating and cooling. A quasistatic, uncoupled, thermoelastoplastic analysis based on the incremental theory of plasticity is formulated, and a numerical procedure is developed for a method of successive elastic solutions. The material of the cylinder is assumed to have temperature-dependent properties and to be characterized by the Romberg-Osgood stress-strain relation. The transient and residual stress distributions are discussed in detail, along with variations of the equivalent stress and plastic strain with time.

ISSN:0149-5739    

DOI:10.1080/01495737808926944

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor

摘要:

A method is formulated for determining the transient thermal stresses that evolve during the molding process within a material hardening as the result of an exothermic chemical reaction. The formulation is applied to the restricted case in which the shear-to-bulk-modulus ratio for the fully hardened material is small, and where the material is cast in the form of an infinitely long solid cylinder in a thermally thin elastic mold. The heat-generation rate and temperature variation are derived from a first-order chemical reaction. The solidification of the material is described by a transformation from an initial liquidlike state to an elastic solid, with thermoelastic constitutive rate equations during the hardening process based upon a two-component mixture model whose composition is related to the degree of reaction. Graphs for transient stresses and residual stress distributions are shown in terms of dimensionless variables, with hardening rate related to thermochemical constants, and with the elastic properties of the poured material and mold as parameters. Illustrative examples are analyzed to show the existence of tensile stresses that may be associated with cracking during the molding process, and containment stresses in the mold arising from thermal expansion of the hardening material. Material properties are listed to form numerical estimates of the dimensionless variables.

ISSN:0149-5739    

DOI:10.1080/01495737808926945

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor

摘要:

The formulation of coupled thermoelasticity is presented in terms of Green's function. A formal solution for the quasistatic linear problem is given.

ISSN:0149-5739    

DOI:10.1080/01495737808926946

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor

ISSN:0149-5739    

DOI:10.1080/01495737808926947

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor