摘要:

This article compares theories formulated on the basis of the classical Principle of Virtual Displacements (PVD) to mixed theories formulated on the basis of the Reissner Mixed Variational Theorem (RMVT) to evaluate the thermal response of orthotropic laminated plates. So-called layer-wise (LW) and equivalent single-layer (ESL) modelings have been developed for both classical and mixed approaches (each layer is considered as a single plate for LW analysis, while the unknown variables are independent of the number of the constitutive layers for the ESL cases). Linear up-to fourth-order displacement and stress field cases have been implemented to derive thermomechanical governing equations, consistent with the used variational statements. All the theories have been presented in a unified manner by referring to findings recently presented by the author. The numerical investigation has been restricted to a simply supported plate loaded by harmonic distribution of in-plane temperature fields. Constant and linear through-the-thickness temperature distributions have been considered for which exact three-dimensional solutions are available. The results of in-plane and out-of-plane displacement and stress components are given in the form of tables and diagrams. The superiority of the mixed approach to the PVD formulation has been confirmed. Higher order, layer-wise expansions for the unknown variables are required for an accurate description of the thermomechanical response of thick multilayered plates. It has been found that the thickness temperature distributions T(z) have a significant influence on the accuracy of the considered theories.

ISSN:0149-5739    

DOI:10.1080/014957300750040096

出版商:Informa UK Ltd    

年代:2000

数据来源: Taylor

摘要:

This article presents an explicit solution of the thermal stresses in a one-sided composite patch repair, with the patch being orthotropic in both mechanical and thermal properties. The emphasis is placed on the analysis of the bending deformation of the reinforced structure resulting from thermal loading. The reinforced region is represented by an equivalent inclusion that undergoes a combination of in-plane extension and out-of-plane extension. Explicit formulae are derived for the thermal expansion coefficients as well as the bending stiffness and the in-plane extensional stiffness of the equivalent inclusion. The Eshelby inclusion analogy is first extended by postulating uniform bending curvatures and mean strains throughout the inclusion. The correctness of this conjecture is then proved by the satisfaction of force, bending moment, and displacement continuity conditions. Explicit solutions are finally derived for the bending and membrane stresses resulting from thermal loading of an isotropic plate reinforced by a circular patch. It is shown that the present solutions correlate well with the numerical results obtained using fully three-dimensional finite element analysis.

ISSN:0149-5739    

DOI:10.1080/014957300750040104

出版商:Informa UK Ltd    

年代:2000

数据来源: Taylor

摘要:

The nonlinear strain-displacement relations for thin orthotropic plates are considered and substituted into the potential energy function of thermoelastic loadings. The Euler equations are then applied to the functional of energy, and the general thermoelastic equations of thin orthotropic plates are obtained. The stability equations are then derived through the second variation of the potential energy function. The thermal loadings include the uniform temperature rise, axial temperature difference, and the gradient temperature through the thickness. The thermoelastic buckling of a thin plate under these thermal loadings is investigated. The results are extended to isotropic and orthotropic thin plates with and without imperfections.

ISSN:0149-5739    

DOI:10.1080/014957300750040113

出版商:Informa UK Ltd    

年代:2000

数据来源: Taylor

摘要:

An approach for synthesizing buckling results and behavior for thin balanced and unbalanced symmetric laminates that are subjected to nondestabilizing mechanical preloads, uniform heating or cooling, and elastically or totally restrained axial thermal expansion or contraction is presented. This approach uses a nondimensional analysis for infinitely long, flexurally anisotropic plates that are subjected to combined loads and is based on useful nondimensional parameters. In addition, a stiffness-weighted laminate coefficient of thermal expansion is derived and used to determine critical temperatures in terms of physically intuitive mechanical buckling coefficients, and the effects of membrane orthotropy and membrane anisotropy are included. Many results are presented for some common laminates that are intended to facilitate a structural designer's transition to the use of the generic buckling design curves that are presented in the article. Several generic buckling design curves are presented that provide physical insight into the buckling response in addition to providing useful design data. Examples are presented that demonstrate the use of the generic design curves. The analysis approach and generic results identify the effects and characteristics of laminate thermal expansion, membrane orthotropy and anisotropy, and flexural orthotropy and anisotropy in a very general and unifying manner.

ISSN:0149-5739    

DOI:10.1080/014957300750040122

出版商:Informa UK Ltd    

年代:2000

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:10.1080/014957300750040131

出版商:Informa UK Ltd    

年代:2000

数据来源: Taylor

ISSN:0149-5739    

DOI:10.1080/014957300750040140

出版商:Informa UK Ltd    

年代:2000

数据来源: Taylor