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Katsikadelis, John T.; Yiotis, Aristophanes J.

doi:10.1023/a:1025074231624

Cited by 25 publications

(2 citation statements)

References 20 publications

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“…of the problems in Equations ( 2) and (4). Various types of contact problems in solid mechanics and numerical treatments of them are considered along with others in the books of Wrigers [58] and Selvadurai [59]; and in the works of Dumir and Bhakar [60], Katsikadelis and Yiotis [61], and Papanikolaou and Doudoumis [62]. The mathematical theory for unilateral constraints including the Kirchoff plates was developed by Fichera [41].…”

Section: Contact Models With Elastic Foundationsmentioning

confidence: 99%

Mathematical Models with Buckling and Contact Phenomena for Elastic Plates: A Review

Muradova

Stavroulakis

2020

Mathematics

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A review of mathematical models for elastic plates with buckling and contact phenomena is provided. The state of the art in this domain is presented. Buckling effects are discussed on an example of a system of nonlinear partial differential equations, describing large deflections of the plate. Unilateral contact problems with buckling, including models for plates, resting on elastic foundations, and contact models for delaminated composite plates, are formulated. Dynamic nonlinear equations for elastic plates, which possess buckling and contact effects are also presented. Most commonly used boundary and initial conditions are set up. The advantages and disadvantages of analytical, semi-analytical, and numerical techniques for the buckling and contact problems are discussed. The corresponding references are given.

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Section: Contact Models With Elastic Foundationsmentioning

confidence: 99%

Mathematical Models with Buckling and Contact Phenomena for Elastic Plates: A Review

Muradova

Stavroulakis

2020

Mathematics

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“…The structure is also unilaterally supported by the upper and/or lower elastic foundations with different stiffnesses. We consider the case when the nonlinear foundations are modeled in terms of a nonlinear elastic Winkler-type and shear Pasternak-type ( [1,2,3,4]). The proposed system is a generalization of the von Kármán-Winkler (Winkler-Pasternak) plate models ( [5,6,7]) on a dynamic case, which takes into account compressive and tensile loadings.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Time Spectral Analysis for a Dynamic Contact Model with Buckling for an Elastic Plate

Muradova

Stavroulakis

2014

KEM

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In the present paper a dynamic nonlinear model with contact and buckling for an elasticplate is considered. The model consists of two coupled nonlinear hyperbolic type partial differentialequations. The plate is subjected to compressive and/or tensile moving loads on its edges. The foundationsare nonlinear elastic Winkler and Pasternak models. The initial-boundary value problems forthe model are solved with the use of the time spectral method for spatial discretization and after thediscretization the Newmark- time-stepping iterative scheme for the obtained system of nonlinear ordinarydifferential equations. The model is tested for the Winkler-type and shear Pasternak-type andas well for several values of the physical constants of the foundations.

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Stiffness and buckling optimization of thin plates with BEM

Katsikadelis

Babouskos

2012

Arch Appl Mech

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Cited by 25 publications

References 20 publications

Mathematical Models with Buckling and Contact Phenomena for Elastic Plates: A Review

Mathematical Models with Buckling and Contact Phenomena for Elastic Plates: A Review

Nonlinear Time Spectral Analysis for a Dynamic Contact Model with Buckling for an Elastic Plate

Stiffness and buckling optimization of thin plates with BEM

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