2013
DOI: 10.1142/s0219455412500708
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Buckling of a Plate on a Pasternak Foundation Under Uniform in-Plane Bending Loads

Abstract: In-plane bending loads occur in many thin-walled structures, including web core sandwich panels (foam-¯lled panels with interior webs) under transverse loading. The design of such structures is limited in part by local buckling of the thin webs and the subsequent impact on sti®ness and strength. However, the core material can have a signi¯cant impact on web buckling strength and thus must be considered in design. This paper presents solutions for the buckling strength of simply supported plates under in-plane … Show more

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Cited by 6 publications
(2 citation statements)
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“…The simplest is the Winkler model, in which the foundation is described as a system of independent springs reacting to the deflection of the body [66,67]. Two parameters extensions of the Winkler model have been proposed by Filonenko-Borodich [68] and Pasternak [69][70][71] respectively by considering membrane like interactions (with constant tension) and shear interactions among springs. Alternatively to this family of models that are based on interactions between mechanical elements, continuum medium based model have been proposed based on variational formulations that include assumed kinematics of the foundation elastic medium [66,72].…”
Section: Substrate Modelmentioning
confidence: 99%
“…The simplest is the Winkler model, in which the foundation is described as a system of independent springs reacting to the deflection of the body [66,67]. Two parameters extensions of the Winkler model have been proposed by Filonenko-Borodich [68] and Pasternak [69][70][71] respectively by considering membrane like interactions (with constant tension) and shear interactions among springs. Alternatively to this family of models that are based on interactions between mechanical elements, continuum medium based model have been proposed based on variational formulations that include assumed kinematics of the foundation elastic medium [66,72].…”
Section: Substrate Modelmentioning
confidence: 99%
“…Dehghany and Farajpour [22] dealt with exact solution for free vibration analysis of simply supported rectangular plates on Pasternak foundation on the basis of three-dimensional elasticity theory. Briscoe et al [23] presented a solution for the buckling strength of simply supported plates on the Pasternak-type foundation under inplane bending loads by using the minimum potential energy principle. Thai et al [24] proposed a simple refined theory for studying bending, buckling, and vibration of thick plates resting on Pasternak foundation.…”
Section: Introductionmentioning
confidence: 99%