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Development of a semi-analytical nonlinear finite element formulation for cylindrical shells
Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2013This article introduces a new semi-analytical nonlinear finite element formulation for thin cylinders according to a continuum-based approach. A comparison between the continuum-based approach and the classical approach for the buckling behavior of isotropic and orthotropic perfect cylinders validates the results.
A Alijani +3 more
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Semi-analytical finite-element study for elastomeric composite solids of revolution
AIAA Journal, 1989The research presented in this paper is concerned with the development of a linear composite theory, along with a semi-analytica l finite-element analysis for horizontally layered, reinforced, elastomeric bearings of revolution subjected to nonaxisymmetr ic loads.
Moetaz M. El-Hawary, Leonard R. Herrmann
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Semi-analytical solution of path-independent nonlinear finite element models
Finite Elements in Analysis and Design, 2011Within the semi-analytical solution of the finite element model, the results of the analysis are expressed as a function of one or several parameters of the problem. Severe growth of the size of resulting expressions limits the direct use of symbolic systems to the small number of input parameters left in a symbolic form and to the linear finite ...
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Numerical Methods for Partial Differential Equations, 2009
AbstractThe finite element method (FEM) is a numerical method for approximate solution of partial differential equations with appropriate boundary conditions. This work describes a methodology for generating the elastic stiffness matrix of an axisymmetric eight‐noded finite element with the help of Computer Algebra Systems. The approach is described as
Lozada, I. J. +2 more
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AbstractThe finite element method (FEM) is a numerical method for approximate solution of partial differential equations with appropriate boundary conditions. This work describes a methodology for generating the elastic stiffness matrix of an axisymmetric eight‐noded finite element with the help of Computer Algebra Systems. The approach is described as
Lozada, I. J. +2 more
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A semi- analytic finite element approach to the stress analysis of circular plate
1977DUE TO COPYRIGHT RESTRICTIONS ONLY AVAILABLE FOR CONSULTATION AT ASTON UNIVERSITY LIBRARY AND INFORMATION SERVICES WITH PRIOR ...
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International Journal for Numerical Methods in Engineering, 2011
AbstractThe main aim of this paper is a development of the semi‐analytical probabilistic version of the finite element method (FEM) related to the homogenization problem. This approach is based on the global version of the response function method and symbolic integral calculation of basic probabilistic moments of the homogenized tensor and is applied ...
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AbstractThe main aim of this paper is a development of the semi‐analytical probabilistic version of the finite element method (FEM) related to the homogenization problem. This approach is based on the global version of the response function method and symbolic integral calculation of basic probabilistic moments of the homogenized tensor and is applied ...
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SAFE Layerwise: Semi-Analytic Finite Element Formulation
AIAA SCITECH 2024 ForumDarun Barazanchy, Michel van Tooren
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