Buckling and post-buckling behaviour of laminated shallow spherical shells subjected to external pressure

Muc, Aleksander

doi:10.1016/0020-7462(92)90013-w

Cited by 25 publications

(4 citation statements)

References 10 publications

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“…may increase (or decrease) locally the flexural effects, which involves the necessity of numerical analysis. Therefore, the influence of fibre orientations on the structural behaviour of composite curved constructions cannot be directly transferred from the well known results valid for the membrane state only (the studies conducted by Muc [20]), especially in view of the failure analysis. The correct results can be obtained by numerical investigations only.…”

Section: Numerical Modellingmentioning

confidence: 99%

Effects of Material Nonlinearities on Design of Composite Constructions—Elasto-Plastic Behaviour

Muc

2020

Materials

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Usually, the design of composite structures is limited to the linear elastic analysis only. The experimental results discussed in the paper demonstrate the physical non-linear behaviour both for unidirectional and woven roving composites. It is mainly connected with the micromechanical damages in composite structures, particularly with the effects of matrix cracking modeled in the form of elastic-plastic physical relations. In the present paper, the effects of both physical and geometrical non-linearities are taken into account. Their influence on the limit states (understood in the sense of buckling or failure/damage) of composite structures is discussed. The numerical examples deal with the behaviour of composite pressure vessels components, such as a cylindrical shell and the reinforcement of the junction of shells. The optimisation method of the reinforcement thickness is also formulated and solved herein.

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Section: Numerical Modellingmentioning

confidence: 99%

Effects of Material Nonlinearities on Design of Composite Constructions—Elasto-Plastic Behaviour

Muc

2020

Materials

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“…Flat plates (triangular, rectangular, trapezoidal)-References [237][238][239][240][241][242][243][244][245], • Panels: cylindrical [246][247][248][249][250][251][252][253][254][255], spherical [256,257], truncated conical [258][259][260][261][262][263], • Cylindrical shells-References [264][265][266][267][268][269][270].…”

Section: Form Of the Structurementioning

confidence: 99%

Optimal Design of Plated/Shell Structures under Flutter Constraints—A Literature Review

2019

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Aeroelastic optimization has become an indispensable component in the evaluation of divergence and flutter characteristics for plated/shell structures. The present paper intends to review the fundamental trends and dominant approaches in the optimal design of engineering constructions. A special attention is focused on the formulation of objective functions/functional and the definition of physical (material) variables, particularly in view of composite materials understood in the broader sense as not only multilayered laminates but also as sandwich structures, nanocomposites, functionally graded materials, and materials with piezoelectric actuators/sensors. Moreover, various original aspects of optimization problems of composite structures are demonstrated, discussed, and reviewed in depth.

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“…Subsequently, axisymmetric bucking and post-buckling behavior of moderately thick shallow spherical shells c 2017 Vietnam Academy of Science and Technology made of symmetrically laminated composites and subjected to uniform external pressure have been analyzed by Xu [7] utilizing a Fourier-Bessel series solution and by Nath and Sandeep [8] using an iterative Chebyshev series solution technique. Also, Muc [9] made use of trigonometric series method to consider unsymmetrical buckling and postbuckling behavior of laminated shallow spherical shells subjected to external pressure.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear thermo-mechanical stability of shear deformable FGM sandwich shallow spherical shells with tangential edge constraints

Khoa

Tung

2017

Vietnam J. Mech.

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This paper presents an analytical approach to investigate the nonlinear axisymmetric response of moderately thick FGM sandwich shallow spherical shells resting on elastic foundations, exposed to thermal environments and subjected to uniform external pressure. Material properties are assumed to be temperature independent, and effective properties of FGM layer are graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents. Formulations are based on first-order shear deformation shell theory taking geometrical nonlinearity, initial geometrical imperfection, Pasternak type elastic foundations and various degree of tangential constraint of boundary edge into consideration. Approximate solutions are assumed to satisfy clamped boundary condition and Galerkin method is applied to derive closed-form expressions of critical buckling loads and nonlinear load-deflection relation. Effects of geometrical parameters, thickness of face sheets, foundation stiffness, imperfection, thermal environments and degree of tangential edge constraints on the nonlinear stability of FGM sandwich shallow spherical shells are analyzed and discussed.

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Buckling and post-buckling behaviour of laminated shallow spherical shells subjected to external pressure

Cited by 25 publications

References 10 publications

Effects of Material Nonlinearities on Design of Composite Constructions—Elasto-Plastic Behaviour

Effects of Material Nonlinearities on Design of Composite Constructions—Elasto-Plastic Behaviour

Optimal Design of Plated/Shell Structures under Flutter Constraints—A Literature Review

Nonlinear thermo-mechanical stability of shear deformable FGM sandwich shallow spherical shells with tangential edge constraints

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