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Journal ArticleDOI

An analytical solution for buckling and vibration of delaminated composite spherical shells

TLDR
In this article, a progressive analytical model of doubly curved shells is presented and applied to a delaminated spherical shell, where the equations are derived using an improved version of the Sanders shell theory and the System of Exact Kinematic Conditions (SEKC).
Abstract
The estimation of the critical buckling loads and eigenfrequencies are among the most common problems of mechanical engineering. These parameters are very important measures to avoid the loss of stability of the designed structures. In this work a progressive analytical model of doubly curved shells will be presented and applied to a delaminated spherical shell. The equations are derived using an improved version of the Sanders shell theory and the System of Exact Kinematic Conditions (SEKC). The solution method is based on the Levy formulation. With this method the governing partial differential equation (PDE) can be reduced to an ordinary differential equation (ODE) with the use of Fourier-series. The resulting set of equations are solved using a variant of the state-space method which is able to solve systems with non-constant system matrix.

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Citations
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Journal ArticleDOI

Thermal Post-Buckling Strength Prediction and Improvement of Shape Memory Alloy Bonded Carbon Nanotube-Reinforced Shallow Shell Panel: A Nonlinear Finite Element Micromechanical Approach

TL;DR: In this article, the postbuckling temperature load parameter values of nanotube-reinforced polymeric composite panel and their improvement by introducing the functional material (shape memory alloy, SMA) fiber are modeled using the single-layer type higher-order kinematic model in association with isoparametric finite element technique.
Journal ArticleDOI

On the circumferential wave responses of connected elliptical-cylindrical shell-like submerged structures strengthened by nano-reinforcer

Emad Sobhani, +1 more
- 01 Mar 2022 - 
TL;DR: In this article , a semi-analytical approach, licensed the Generalized Differential Quadrature (GDQ) scheme, is employed for discretizing the differential equations at different separator points throughout the longitudinal and meridional direction of the structure.
Journal ArticleDOI

Nonlinear steady-state responses of weakly bonded composite shell structure under hygro-thermo-mechanical loading

TL;DR: In this paper, a nonlinear micromechanical finite element (FE) model is derived to compute the steady-state time-dependent deflections of the weakly connected layered composite panel.
Journal ArticleDOI

Numerical prediction of static and vibration responses of damaged (crack and delamination) laminated shell structure: An experimental verification

TL;DR: In this article , a higher-order mathematical model is derived to analyse the damaged laminated structure and verified experimentally, and the modal responses and the strain energy release rate (SERR) are calculated by considering the influences of the delamination and/or crack within the flat/curved laminate structure.
Journal ArticleDOI

Analytical assessment of the axisymmetric snap-through behaviour of FG_CNTRC spherical shells under uniform external pressure incorporating the CNTs agglomeration effects

TL;DR: In this article, the geometrical nonlinear behavior of the sandwich shallow spherical shells made of the functionally graded carbon nanotube-reinforced composites is assessed, and the equilibrium, compatibility and constitutive equations are extended based on the first-order shear deformation theory.
References
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Book

Mechanics of Laminated Composite Plates and Shells : Theory and Analysis, Second Edition

TL;DR: The use of composite materials in engineering structures continues to increase dramatically, and there have been significant advances in modeling for general and composite materials and structures in particular as discussed by the authors. But the use of composites is not limited to the aerospace domain.
Book

Mechanics of laminated composite plates and shells : theory and analysis

J. N. Reddy
TL;DR: In this article, the authors present an analysis of the properties of composite materials using the classical and first-order theories of Laminated Composite Plates and shells, as well as a detailed analysis of their properties.
Book

Stresses in Shells

MonographDOI

Vibration of continuous systems

TL;DR: The author explains how basic Equations of Elasticity, Laplace and Fourier Transforms, and Approximate Analytical Methods transformed into Eigenvalue and Modal Analysis Approach, which led to the modern Elastic Wave Propagation.
Journal ArticleDOI

Virtual crack closure technique: History, approach, and applications

TL;DR: An overview of the virtual crack closure technique is presented, the approach used is discussed, the history summarized, and insight into its applications provided.
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