An efficient higher order zigzag theory for laminated plates subjected to thermal loading

Kapuria, S.; Achary, G.G.S.

doi:10.1016/j.ijsolstr.2004.02.020

Cited by 87 publications

(42 citation statements)

References 33 publications

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“…Rohwer, Rolfes, and Sparr [13] discussed higher order theories for thermal stresses in layered plates subjected to linear thermal load. A new efficient higher order zigzag theory is presented for laminated plates under linear thermal loading by Kapuria and Achary [14]. Thermal flexural analysis of symmetric laminated plates subjected to linear thermal load is presented by Ali, et al [15] by using displacement-based higher order theory.…”

Section: Introductionmentioning

confidence: 99%

Thermal flexural analysis of cross-ply laminated plates using trigonometric shear deformation theory

Ghugal¹,

Kulkarni²

2013

Lat. Am. j. solids struct.

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Thermal stresses and displacements for orthotropic, two-layer antisymmetric, and three-layer symmetric square cross-ply laminated plates subjected to nonlinear thermal load through the thickness of laminated plates are presented by using trigonometric shear deformation theory. The in-plane displacement field uses sinusoidal function in terms of thickness co-ordinate to include the shear deformation effect. The theory satisfies the shear stress free boundary conditions on the top and bottom surfaces of the plate. The present theory obviates the need of shear correction factor. Governing equations and boundary conditions of the theory are obtained using the principle of virtual work. The validity of present theory is verified by comparing the results with those of classical plate theory and first order shear deformation theory and higher order shear deformation theory.

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Section: Introductionmentioning

confidence: 99%

Thermal flexural analysis of cross-ply laminated plates using trigonometric shear deformation theory

Ghugal¹,

Kulkarni²

2013

Lat. Am. j. solids struct.

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“…These models are usually based on the ''equivalent single layer" approach (ESL approach), where the layered sandwich structure is represented by a solid panel with equivalent homogenized properties, Mindlin [4], Reddy [5]. Several researchers have used high order theories to model the thermo mechanical response of laminated monolithic or sandwich panels including Najafizadeh and Heydari [6], Dafedar and Desai [7], Kapuria and Achary [8], Shiau and Kuo [9], Matsunaga [10], Dawe [11] and Cooke [12]. However, none of these have in cluded the core through thickness flexibility.…”

Section: Introductionmentioning

confidence: 99%

Thermo-mechanical load interactions in foam cored axi-symmetric sandwich circular plates – High-order and FE models

Santiuste

Thomsen

Frostig

2011

Composite Structures

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a b s t r a c tThis work presents analytical and finite element analysis (FEA) results of the thermo mechanical non linear response of an axi symmetric circular sandwich plates with a compliant foam core. The study investigates the load thermal interaction response of a sandwich panel where the properties of the core are temperature dependent and degrade as the temperatures are raised. It presents briefly the governing equations for a sandwich plate based on the principles of the high order sandwich panel theory (HSAPT) which incorporates the effects of the vertical flexibility of the core material as well as the effects of tem perature independent/dependent mechanical properties of the foam core. The effects of the thermal deg radation of core material on the thermo mechanical non linear response of a simply supported circular sandwich plate are studied through the analytical and FE models. The difficulties involved in non linear geometrical FE modeling of sandwich panels with a compliant ''soft" core with temperature dependent mechanical properties are discussed. The HSAPT model predictions are compared very well with FE result. An important conclusion of the study is that the interaction between mechanical loads, tempera ture induced deformations, and degradation of the mechanical properties due to elevated temperatures, may seriously affect the structural integrity of foam cored sandwich plates.

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“…Therefore, based on Eqs. (8), (23), and (27), the displacement vector of the kth layer may be expressed as:…”

Section: Description Of the Displacement Fieldmentioning

confidence: 99%

“…To retain the benefits of less computational times of the equivalent single-layer theories and the accuracy of the layerwise theories, zigzag theories [20][21][22][23] were proposed. Ganapathi et al [24] investigated the nonlinear dynamic behaviors of the sandwich plates based on a zigzag theory.…”

Section: Introductionmentioning

confidence: 99%

A double-superposition global–local theory for vibration and dynamic buckling analyses of viscoelastic composite/sandwich plates: a complex modulus approach

Shariyat

2010

Arch Appl Mech

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A higher-order global-local theory is proposed based on the double-superposition concept for free vibration and dynamic buckling analyses of viscoelastic composite/sandwich plates subjected to thermomechanical loads. In contrast to all theories proposed so far for analysis of the viscoelastic plates, the continuity conditions of the transverse shear and normal stresses at the layer interfaces and the nonzero traction conditions at the top and bottom surfaces of the sandwich plates are satisfied. Another novelty is that these conditions may be satisfied for viscoelastic plates with temperature-dependent material properties and nonlinear behaviors subjected to thermomechanical loads. Furthermore, transverse flexibility is also taken into account. Some dynamic buckling/wrinkling analyses of the viscoelastic plates are performed in the present paper, for the first time. Comparisons made between results of the paper and results reported by well-known references confirm the accuracy and the efficiency of the proposed theory and the relevant solution algorithm.

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An efficient higher order zigzag theory for laminated plates subjected to thermal loading

Cited by 87 publications

References 33 publications

Thermal flexural analysis of cross-ply laminated plates using trigonometric shear deformation theory

Thermal flexural analysis of cross-ply laminated plates using trigonometric shear deformation theory

Thermo-mechanical load interactions in foam cored axi-symmetric sandwich circular plates – High-order and FE models

A double-superposition global–local theory for vibration and dynamic buckling analyses of viscoelastic composite/sandwich plates: a complex modulus approach

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