摘要:

In this article a two-dimensional axisymmetric problem in a homogeneous transversely isotropic medium has been studied by employing the eigenvalue approach after applying the technique of Laplace and Hankel transforms. An example of infinite space with concentrated force at the origin has been presented to illustrate the application of the approach. The results for coupled thermoelasticity and in the case of a homogeneous isotropic medium have also been deduced. The results obtained can be used for a broad class of problems in generalized thermoelasticity. The integral transforms have been inverted by using a, numerical technique to obtain the displacements, temperature, and stresses in the physical domain. The results for these quantities are given and illustrated graphically.

ISSN:0149-5739    

DOI:10.1080/01495739608946208

出版商:Taylor & Francis Group    

年代:1996

数据来源: Taylor

摘要:

A mathematical model that incorporates volume relaxation is applied to predict the development of the thermal residual stresses, for a generic polycarbonate, in a thin injection-molded strip cavity. The model assumes thermo-rheological/piezo-rheological simple viscoelastic material behavior in both the deviatoric and dilatational domains, Prony-series for both the shear-relaxation and dilatational-retardation functions, a modified Gibb's function for the shift factor of both the shear-relaxation and dilatational-retardation spectra. The purpose of this study is to examine the effects of volume relaxation, imposed lateral boundary conditions, and the average shear-relaxation and dilatational-retardation times on the developed residual stresses.

ISSN:0149-5739    

DOI:10.1080/01495739608946209

出版商:Taylor & Francis Group    

年代:1996

数据来源: Taylor

摘要:

A recently developed higher order theory for the thermoelastic response of composite materials with microstructures characterized by arbitrarily nonuniform reinforcement spacing in two directions (i.e., bidirectionalfy functionally graded materials) is further extended to accommodate the effect of an inelastic response of the constituent phases. This theory circumvents the problematic use of the standard micromechanical approach, based on the concept of a representative volume element, commonly employed in the analysis of functionally graded composites by explicitly coupling the local (microstructural) and global (macrostructural) responses. The theoretical framework is based on volumetric averaging of the various field quantities together with the imposition of boundary and interfacial conditions in an average sense between the subvolumes used to characterize the composite's functionally graded microstructure. Examples are presented that illustrate how the presence of plasticity and microstructure affect the free-edge interlaminar stresses in metal matrix composites and how these stresses and plastic strains can be altered and managed through functionally graded architectures. Furthermore, the results demonstrate the inability of the standard homogenization approach to capture accurately the microstructural effects in the vicinity of the free edge.

ISSN:0149-5739    

DOI:10.1080/01495739608946210

出版商:Taylor & Francis Group    

年代:1996

数据来源: Taylor

摘要:

The crack problem in semi-infinite functionally graded materials (FGMs) under thermal load is considered The main objective of this work is to reduce the thermal stress by assigning an appropriate value of the coefficient of thermal expansion, which changes in two directions. It is assumed that the coefficient of thermal expansion is exponentially dependent on x- and y-directions as $. From the formulation of the problem it reduces to a singular integral equation with a simple Cauchy type kernel. This singular integral equation has the derivative of the crack surface displacement as the density function. The thermal stress intensity factor can be calculated versus the mechanical nonhomogeneous parameters of the assumed FGMfrom the solution of the singular integral equation. Then from the calculated values of the thermal stress intensity factor the appropriate values of the nonhomogeneous parameters of the coefficient of thermal expansion and the mechanical nonhomogeneous parameters of the material can be assigned.

ISSN:0149-5739    

DOI:10.1080/01495739608946211

出版商:Taylor & Francis Group    

年代:1996

数据来源: Taylor

摘要:

In this section, publications on thermal stresses that have appeared elsewhere are listed. In order to make the list as complete as possible, authors are requested to submit two copies of their publications to the Editor-in-Chief. Publications in languages other than English should be accompanied by the English translation of their titles.

ISSN:0149-5739    

DOI:10.1080/01495739608946212

出版商:Taylor & Francis Group    

年代:1996

数据来源: Taylor