Effects of hygrothermal conditions on cross-ply laminated plates resting on elastic foundations

Zenkour, Ashraf M.; Allam, M. N. M.; Radwan, Ahmed F.

doi:10.1016/j.acme.2013.07.008

Cited by 50 publications

(27 citation statements)

References 22 publications

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“…The results obtained using the present model HGLM agree well with the three-dimensional thermoelastic solutions (Exact) [8]. Compared to the exact solution, the results obtained from the sinusoidal shear deformation plate model SPT [35] and the higher-order plate model HPT [14] are less accurate as the continuity conditions of transverse shear stresses have been violated in these models. Thus, it is found that the transverse shear stresses obtained from the models SPT and HPT are not continuous at interfaces of laminated plate.…”

Section: Numerical Examples and Discussionsupporting

confidence: 67%

“…All layers are assumed to be of the same thickness, and the following lamina properties are used [35]: The dimensionless displacements and stresses are given by…”

Section: Numerical Examples and Discussionmentioning

confidence: 99%

“…1. Following the two-parameter Pasternak's model [35], the load-displacement relationship between the plate and the supporting foundations is given by…”

Section: Equilibrium Equationmentioning

confidence: 99%

“…The applied temperature distribution T and the moisture concentration C through the thickness of plate are, respectively, taken as [35]:…”

Section: Constitutive Equationmentioning

confidence: 99%

“…The detailed expression for k i and k i can be found in the "Appendix 1". In addition, the higher-order models proposed by Zenkour et al [35] have been chosen for comparison, which can be written as…”

Section: Introductionmentioning

confidence: 99%

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Effects of hygro-thermo-mechanical loading on composite plate resting on elastic foundation

Wang

Ren

2015

Arch Appl Mech

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The plate resting on the elastic foundation is an issue of mutual action between two media. The elastic foundation has important impact on static response of composite plates, while accurate prediction on transverse shear stresses of laminated composite plates resting on elastic foundation and subjected to hygrothermo-mechanical effects is scare in literature. To fill this gap, this paper proposes a higher-order global-local model (HGLM) satisfying the continuity conditions of transverse shear stresses at interfaces. Based on the model HGLM, analytical solution for the governing differential equations of the simply supported composite plate subjected to mechanical loading, temperature and moisture concentrations is developed by employing Navier's technique followed by the procedure of the separation of variables. Comparing the present results with the available elasticity solutions, it is found that the proposed model HGLM can produce promising transverse shear stresses directly from constitutive equations. Based on the model HGLM, the elastic foundation parameters, stacking sequence and thermal expansion coefficients did have significant effects on the hygrothermo-elastic response of composite plates. However, the other models lose capacity to simulate the effects of the elastic foundation parameters on displacements and stresses for hygrothermal expansion of composite plates.

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Section: Numerical Examples and Discussionsupporting

confidence: 67%

“…All layers are assumed to be of the same thickness, and the following lamina properties are used [35]: The dimensionless displacements and stresses are given by…”

Section: Numerical Examples and Discussionmentioning

confidence: 99%

“…1. Following the two-parameter Pasternak's model [35], the load-displacement relationship between the plate and the supporting foundations is given by…”

Section: Equilibrium Equationmentioning

confidence: 99%

“…The applied temperature distribution T and the moisture concentration C through the thickness of plate are, respectively, taken as [35]:…”

Section: Constitutive Equationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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