On a nonlinear theory of plates and shells including consistent and inconsistent kinematics and the finite element method
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In this paper, a nonlinear theory of plates and shells for thick and thin models accounting for consistent and inconsistent kinematical approximations is presented in general curvilinear tensorial form.About:
This article is published in Computers & Structures.The article was published on 1988-01-01 and is currently open access. It has received 3 citations till now. The article focuses on the topics: Mixed finite element method & Extended finite element method.read more
Citations
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Viscous damping approximation of laminated anisotropic composite plates using the finite element method
Nicholas Zabaras,Tasneem Pervez +1 more
TL;DR: In this article, a viscous damping approximation of a laminated plate is employed to define an average modal loss factor associated with each mode of vibration of a plate, which is then employed with a finite element analysis and a multidimensional definition of critical damping to form a Rayleigh damping matrix [C ] as a linear combination of the stiffness and mass matrices.
Journal ArticleDOI
A survey of finite element models for the analysis of moderately thick shells
TL;DR: In this paper, the authors present a survey of 350 publications related to the finite element models of moderately thick shells, concentrating on those related to consistent displacement and stress/mixed/hybrid models.
Journal ArticleDOI
Dynamics of Geometrically Nonlinear Elastic Nonthin Anisotropic Shells of Variable Thickness
M. V. Marchuk,R. I. Tuchapskii +1 more
TL;DR: In this paper, a theory of dynamic elastic geometrically nonlinear deformation of nonthin anisotropic shells with variable thickness is constructed, where shells are assumed asymmetric about the reference surface.
References
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Book
Theory of plates and shells
TL;DR: In this article, the authors describe the bending of long RECTANGULAR PLATES to a cycloidal surface, and the resulting deformation of shels without bending the plates.
Journal ArticleDOI
Large Deformation Isotropic Elasticity—On the Correlation of Theory and Experiment for Incompressible Rubberlike Solids
TL;DR: In this article, the correlation of theory and experiment for incompressible isotropic elastic solids under finite strain was extended to incorporate the effects of compressibility (under isothermal conditions) with the result that experimental data on the compressibility of rubberlike materials are adequately accounted for.
Journal ArticleDOI
A refined nonlinear theory of plates with transverse shear deformation
TL;DR: In this paper, a higher-order shear deformation theory of plates accounting for the von Karman strain was presented, which contains the same dependent unknowns as in the Hencky-Mindlin type first-order deformation theories and accounts for parabolic distribution of the transverse shear strains through the thickness of the plate.
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Nonlinear finite element analysis of shells: Part I. three-dimensional shells
Thomas J. R. Hughes,Wing Kam Liu +1 more
TL;DR: In this article, a nonlinear finite element formulation is presented for the three-dimensional quasistatic analysis of shells which accounts for large strain and rotation effects, and accommodates a fairly general class of nonlinear, finite-deformation constitutive equations.
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