Stress Analysis of Multilayered Anisotropic Elastic Media

Choi, Hong‐Shik; Thangjitham, S.

doi:10.1115/1.2897197

Cited by 40 publications

(9 citation statements)

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“…What makes fibre-reinforced composites so important is that, during the process of manufacturing, they can be strengthened in certain directions, which improves their structural resistance. So, this has prompted the solution to many problems involving various composite geometries (Choi and Thangjitham, 1991;Pindera and Lane, 1993).…”

Section: Introductionmentioning

confidence: 99%

A receding contact problem for an anisotropic elastic medium consisting of a layer and a half plane

Kahya

Özşahin

Birinci

et al. 2007

International Journal of Solids and Structures

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This paper considers a frictionless receding contact problem between an anisotropic elastic layer and an anisotropic elastic half plane, when the two bodies are pressed together by means of a rigid circular stamp. The problem is reduced to a system of singular integral equations in which the contact stresses and lengths are the unknown functions. Numerical results for the contact stresses and the contact lengths are given by depending on various fibre orientations.

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Section: Introductionmentioning

confidence: 99%

A receding contact problem for an anisotropic elastic medium consisting of a layer and a half plane

Kahya

Özşahin

Birinci

et al. 2007

International Journal of Solids and Structures

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“…For the multilayered micromechanical analysis, however, the application of the interface continuity, Eqs. (9) and (10) (13) and (14), as well as the boundary conditions, Eqs. (8) and (I I) and (l2), results in having to solve a system of simultaneous equations for a large number of unknown constants.…”

Section: General Solutionsmentioning

confidence: 99%

Thermally Induced Local Effects in Laminated Composites

Choi

Thangjitham

1992

Journal of Thermal Stresses

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The steady-state thermally induced local effects in laminated composite materials are irn~estigated from the micro-and macromechanical points of view. The micromechanical model is represented by the alternating layers of a perfectly bonded matrix-reinf~rcerne~~t system while the macromechanical cou~~terpart is characrerized by the effective thermal and mechanical properties of the constituent layers. The solutions are obtained within the framework of linear plane thermoelasticity via the Fourier transform technique and the flexibiliry/stiffness matrix method. As a nr~merical illustration, the micro-and macromechanical temperature and thermal stressfields due to given surface temperature distributions are presenred to measure the degree of correspondence between the two models. Considerable discrepancies are observed to e x i~t between the micro-and macromechanical thermal stress fields. especially, in regions involving high temperature gradients.

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“…Based on the transfer-matrix approach, which is expressed in terms of infinite series expansions allowing solutions with various orders of approximation to be obtained, Bufler [3] solved the elasticity problem in a multilayered medium. Based on the Fourier-transform technique in association with the stiffness-matrix approach, Choi and Thangjitham [4,5] obtained solutions for multilayered anisotropic elastic media. Choi and Earmme [6,7] employed the alternating technique to obtain solutions for singularity problems in an isotropic and anisotropic trimaterial.…”

Section: Introductionmentioning

confidence: 99%

Thermal stresses in a viscoelastic trimaterial with a combination of a point heat source and a point heat sink

et al. 2007

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A general solution for a thermoviscoelastic trimaterial combined with a point heat source and a point heat sink is presented in this work. Based on the method of analytic continuation associated with the alternation technique, the solutions to the heat-conduction and thermoelastic problems for three dissimilar, sandwiched media are derived. A rapidly convergent series solution for both the temperature and stress field, expressed in terms of an explicit general term of the corresponding homogeneous potential, is obtained in an elegant form. The hereditary integral in conjunction with the Kelvin-Maxwell model is applied to simulate the thermoviscoelastic properties, while a thermorheologically simple material is considered. Based on the correspondence principle, the Laplace transformed thermoviscoelastic solution is directly determined from the corresponding thermoelastic one. The real-time solution can then be solved numerically by taking the inverse Laplace transform. A typical example concerning the interfacial stresses generated from a combined arrangement of a heat source and sink are discussed in detail. The corresponding thin-film problem is also discussed.

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Stress Analysis of Multilayered Anisotropic Elastic Media

Cited by 40 publications

References 0 publications

A receding contact problem for an anisotropic elastic medium consisting of a layer and a half plane

A receding contact problem for an anisotropic elastic medium consisting of a layer and a half plane

Thermally Induced Local Effects in Laminated Composites

Thermal stresses in a viscoelastic trimaterial with a combination of a point heat source and a point heat sink

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