Results 241 to 250 of about 372,861 (293)

Nonlinear quasi-conforming finite element method

Acta Mechanica Sinica, 1993
Summary: The nonlinear quasi-conforming FEM is presented based on the basic concept of the quasi-conforming finite element. First, the incremental principle of stationary potential energy is discussed. Then, the formulation of the nonlinear quasi-conforming FEM is given. Lastly, two computational examples of shells are given.
Guan, Yupu, Tang, Limin
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FINITE ELEMENT METHODS FOR NONLINEAR ACOUSTICS IN FLUIDS

Journal of Computational Acoustics, 2007
In this paper, weak formulations and finite element discretizations of the governing partial differential equations of three-dimensional nonlinear acoustics in absorbing fluids are presented. The fluid equations are considered in an Eulerian framework, rather than a displacement framework, since in the latter case the corresponding finite element ...
Walsh, Timothy, Torres, Monica
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General Mixed Finite Element Methods of Nonlinear Continua

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1973
AbstractGeneral mixed finite element models of the nonlinear thermomechanical response of dissipative media are constructed. A number of existing specialized finite element models are derived from the general formulation presented in this paper.
Bhandari, D. R., Oden, J. T.
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Nonlinear Stochastic Finite Element Method

2022
Considering the influence of random factors on the structure, three stochastic finite element methods for general nonlinear problems are proposed. They are Taylor expansion method, perturbation method and Neumann expansion method. The mean value of displacement is obtained by the tangent stiffness method or the initial stress method of nonlinear ...
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Finite Element Method for Nonlinear Wave Propagation

Journal of the Physical Society of Japan, 1985
A numerical method is proposed to solve a hyperbolic system of nonlinear partial differential equations of conservation laws. The method is formulated as a finite element method (FEM), but the finite elements and the nodes move with arbitrary velocity (ALE). This method is called FEMALE.
Ichiro Kawakami, Masamitsu Aizawa, Katsumi Harada, Hiroyuki Saito   +3 more
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Nonlinear panel flutter by finite-element method

AIAA Journal, 1988
The finite-element method is used here to study nonlinear panel flutter behaviour. The governing nonlinear equations are derived from energy considerations, and the nonlinear stretching force is formulated in terms of the transverse displacement alone. Two solution approaches are adopted to solve the nonlinear panel flutter equations.
Sarma, B. S., Varadan, T. K.
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Nonlinear finite element method in magnetism

Pollack Periodica, 2009
The paper presents and compares three potential formulations to solve nonlinear static magnetic field problems by applying the fixed-point technique and the Newton-Raphson scheme. Nonlinear characteristics have been handled by the polarization method in the two algorithms.
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Mixed Finite Element Methods for Nonlinear Problems

1982
Finite element methods based on standard variational principle of minimum potential energy have been extensively studied from both practical and theoretical point of view. The mathematical theory of such methods is firmly established and is a part of the numerical analysis.
M. Aslam Noor, Kh. Z. Elahi, K. Inayat Noor   +2 more
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Nonlinear Frame Analysis by Finite Element Methods

Journal of Structural Engineering, 1987
A review of the basic concepts involved when constructing nonlinear load‐deflection curves of framed structures by the finite element method is presented. The study is limited to the geometrically nonlinear behavior of elastic structures. Three different procedures are considered: the linear incremental method, the nonlinear incremental method, and the
Alexander Chajes, James E. Churchill
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Five Lectures on Nonlinear Finite Element Methods

1988
This course will give a modern concept of finite-element-method in nonlinear solid mechanics using material (Lagrangian) coordinates. Elastic post-buckling analysis of shells is treated as an essential example for the geometrically nonlinear behaviour of structures, and elastic-plastic deformations are introduced in the context of ultimate load ...
E. Stein, D. Bischoff, N. Müller-Hoeppe, W. Wagner, P. Wriggers   +4 more
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