Finite deflection and postbuckling behavior of heated rectangular plates with temperature-dependent properties

Kamiya, N.; Fukui, Atsushi

doi:10.1016/0029-5493(82)90054-1

Cited by 20 publications

(3 citation statements)

References 6 publications

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“…Kamiya and Fukui [6] investigated the postbuckling of square isotropic plates with TD properties. Finite difference method with iteration solutions was used and it obtained results for simply supported and clamped edges with constrained in-plane displacements.…”

Section: Introductionmentioning

confidence: 99%

“…Their results indicate that the material degradation decreases the critical temperature and increases the postbuckling deflection. It is interesting to note that TD material properties in references [6][7][8][9][10] are all assumed to be linear functions of the temperature, and only Noor and Burton [9] investigated the effect of prebuckling stresses on the critical temperature. In this paper, an incremental method for material nonlinearities with the Newton-Raphson iteration method for geometrical nonlinearities of large thermal deflection is presented in the following for the analysis and control of postbuckling deflection of SMA embedded composite plates.…”

Section: Introductionmentioning

confidence: 99%

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<title>Analysis and control of large thermal deflection of composite plates using shape memory alloy</title>

et al. 2000

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A finite element method for predicting critical temperature and postbuckling deflection (large thermal deflection) is presented for composite plates embedded with prestrained shape memory alloy (SMA) wires and subjected to high temperatures. The temperature-dependent material properties of SMA and matrix, and the geometrical nonlinearities of large deflection are considered in the formulation. An incremental method consisting of small temperature increments and including the effect of initial deflection and initial stresses for material nonlinearities is presented. Within each temperature increment, the NewtonRaphson iteration method is used for calculating large thermal deflection. Results show that the critical buckling temperature can be raised high enough and the postbuckling deflection can be reduced and controlled for a given operating temperature range by the proper selection of SMA volume fraction, prestrain and alloy composition.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

<title>Analysis and control of large thermal deflection of composite plates using shape memory alloy</title>

et al. 2000

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“…By using the principle of minimum potential energy. Kimiya and Fukui [6] analyzed thermal postbuckling of isotropic rectangular plates subjected to a parabolic temperature field. Chen and Chen [7] numerically studied the thermal buckling load-deflection curves of antisymmetric laminated thin plates subjected to a uniform temperature rising.…”

Section: Introductionmentioning

confidence: 99%

Thermal Postbuckling and Bending Behavior of Circular Plates with Temperature Dependent Material Properties

Wang

2003

KEM

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Based on the well-known von Karman plate theory, axisymmetric postbuckling and bending behavior of circular plates are investigated under thermal loading. The temperature dependence of thermal and elastic properties of material is considered in this study. It is assumed that temperature varies in the direction of thickness of the plate only. As examples, clamped and simply supported circular plates are studied, respectively. Shooting method is employed to numerically solve the resulting differential equations. Effects of temperature-dependent-material property, temperature gradient and boundary conditions on postbuckling and bending behavior of the plates are discussed.

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Postbuckling Analysis of Plates

2013

A Two‐Step Perturbation Method in Nonlinear Analysis of Beams, Plates and Shells

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Finite deflection and postbuckling behavior of heated rectangular plates with temperature-dependent properties

Cited by 20 publications

References 6 publications

<title>Analysis and control of large thermal deflection of composite plates using shape memory alloy</title>

<title>Analysis and control of large thermal deflection of composite plates using shape memory alloy</title>

Thermal Postbuckling and Bending Behavior of Circular Plates with Temperature Dependent Material Properties

Postbuckling Analysis of Plates

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