Large deflections of laminated cylindrical and doubly-curved panels under thermal loading

Huang, Nan‐Nong; Tauchert, Theodore R.

doi:10.1016/0045-7949(91)90433-m

Cited by 71 publications

(17 citation statements)

References 8 publications

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“…On the other hand, there are only few works about the application of these methods to thermal loading [7][8][9]. Moreover, these works do not present a detailed discussion about the differences in the application of incremental-iterative methods to both loading types, are restricted only to the Arc-Length Method, and are focused on particular element formulations.…”

Section: Constrained Newton-raphson Methodsmentioning

confidence: 99%

“…where C is the temperature-dependent elastic constitutive matrix, while for thermo-elasto-plastic problems at small strains [11] the relation σ = C ε e = C (ε − ε p − ε th ) (7) has been used, where ε e and ε p represents the elastic and plastic strains, respectively. Thus, the use of nonlinear materials require the more general expression:…”

Section: Basic Equationsmentioning

confidence: 99%

“…On the other hand, the nonlinear analysis of structures subjected to thermal loading has been overlooked by the literature. As a matter of fact, the subject is not discussed in the most known books dealing with nonlinear finite analysis [4,5,3,6], while the few papers dealing with path tracing of structures subjected to thermal loading do not present a complete picture of this subject and are concerned only with particular finite elements [7][8][9]. Moreover, the computation of the nonlinear critical points of thermally loaded structures by using extended systems was not addressed in the literature.…”

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confidence: 99%

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Tracing nonlinear equilibrium paths of structures subjected to thermal loading

Parente

Afonso

2005

Comput Mech

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This work presents numerical methods for path tracing and nonlinear stability analysis, including critical point computation and branch-switching, of structures subjected to thermal loading. The differences between the thermal loading case and the standard case of mechanical loading are addressed from both conceptual and computational standpoints. The implementation of the presented methods in a nonlinear finite element system originally designed to deal with mechanical loading is discussed in detail. The techniques presented here are validated by numerical examples.

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Section: Constrained Newton-raphson Methodsmentioning

confidence: 99%

Section: Basic Equationsmentioning

confidence: 99%

mentioning

confidence: 99%

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Tracing nonlinear equilibrium paths of structures subjected to thermal loading

Parente

Afonso

2005

Comput Mech

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“…Wilde et al [7] presented investigation on critical state of an axially compressed cylindrical panel with three edges simply supported and one edge free. Huang and Taucher [8] solved the problem on large deflection of laminated cylindrical and doubly-curved panels under thermal loading. By different methods, the authors Dennis et al [9], Yamada and Croll [10], investigated instability, buckling behavior of pressure loaded cylindrical panels.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear analysis of buckling and postbuckling for axially compressed functionally graded cylindrical panels with the Poisson's ratio varying smoothly along the thickness

Dung

Hoa

2012

Vietnam J. Mech.

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Abstract. In this paper an approximate analytical solution to analyze the nonlinear buckling and postbuckling behavior of imperfect functionally graded panels with the Poisson's ratio also varying smoothly along the thickness is investigated. Based on the classical shell theory and von Karman's assumption of kinematic nonlinearity and applying Galerkin procedure, the equations for finding critical loads and load-deflection curves of cylindrical panel subjected to axial compressive load with two types boundary conditions, are given. Especially, the stiffness coefficients are analyzed in explicit form. Numerical results show various effects of the inhomogeneous parameter, dimensional parameter, boundary conditions on nonlinear stability of panel. An accuracy of present theoretical results is verified by the previous well-known results.

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“…The dynamic analysis of laminated cross-ply composite non-circular thick cylindrical shells subjected to thermal/mechanical load based on higher order theory was studied by Ganapathi et al [7]. Huang and Tauchert [8] investigated the large deformation behavior of anti-symmetric angle-ply curved panels under non-uniform temperature loading.…”

Section: Introductionmentioning

confidence: 99%

Parametric Resonance Characteristics of Laminated Composite Curved Shell Panels in a Hygrothermal Environment

Sahu¹,

Rath²,

Datta³

et al. 2012

International Journal of Aeronautical and Space Sciences

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The present study deals with the parametric resonance behaviour of laminated composite curved shell panels in a hygrothermal environment using Bolotin's approach. A simple laminated model is developed using first order shear deformation theory (FSDT) for the vibration and dynamic stability analysis of laminated composite shells subjected to hygrothermal conditions. A computer program based on the finite element method (FEM) in a MATLAB environment is developed to perform all necessary computations. Quantitative results are presented to show the effects of curvature, ply-orientations, degree of orthotropy and geometry of laminates on the parametric instability of composite curved shell panels for different temperature and moisture concentrations. The excitation frequencies of laminated composite panels decrease with the increase of temperature and moisture due to reduction of stiffness for all laminates.

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Large deflections of laminated cylindrical and doubly-curved panels under thermal loading

Cited by 71 publications

References 8 publications

Tracing nonlinear equilibrium paths of structures subjected to thermal loading

Tracing nonlinear equilibrium paths of structures subjected to thermal loading

Nonlinear analysis of buckling and postbuckling for axially compressed functionally graded cylindrical panels with the Poisson's ratio varying smoothly along the thickness

Parametric Resonance Characteristics of Laminated Composite Curved Shell Panels in a Hygrothermal Environment

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