General variational principles for non-conservative problems in theory of elasticity and its application to finite element analysis

1987 ◽  
pp. 135-144
Author(s):  
Liu Dian-Kui ◽  
Zhang Qi-Hao
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Variational Principles ◽  
Theory Of Elasticity ◽  
Element Analysis

scholarly journals The Generalized Untwist Problem of Rotating Blades: A Coupled Aeroelastic Formulation

1994 ◽  
Author(s):  
Gao-Lian Liu
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Cross Section ◽  
Theoretical Basis ◽  
Variational Principles ◽  
Element Analysis ◽  
Rotating Blades ◽  
Section Shape ◽  
The Finite Element Analysis ◽  
Elastic Distortion

The untwist of rotating blades in turbomachines treated so far in the literatare simply as a pure elasticity problem is generalized and formulated rigorously as a problem of aeroelasticity by variational principles (VPs) and generalized VP (GVP). It takes into account not only the centrifugal force, but also the aeroelastic interaction between blades and the flow as well as the elastic distortion of the cross section shape of blades, assuming the material to be linearly elastic but nonisotropic. Thus, a new rigorous theoretical basis for the finite element analysis of blade untwist in turbomachine design is provided.

Coupled boundary and finite element analysis of a special class of two-dimensional problems of the theory of elasticity

2000 ◽  
Vol 75 (2) ◽  
pp. 157-165 ◽  
Author(s):  
Yarema Savula ◽  
Herbert Mang ◽  
Ivan Dyyak ◽  
Natalia Pauk
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Special Class ◽  
Theory Of Elasticity ◽  
Two Dimensional ◽  
Element Analysis

Some Problems in the Theory of Nonconservative Elasticity

1986 ◽  
Vol 10 (1) ◽  
pp. 28-33
Author(s):  
Qi-hao Zhang ◽  
Dian-kui Liu
Keyword(s):  
Finite Element Analysis ◽  
Variational Principle ◽  
Variational Principles ◽  
Theory Of Elasticity ◽  
Complementary Energy ◽  
Element Analysis ◽  
Energy Principle ◽  
Nonconservative Systems ◽  
Potential Energy Principle ◽  
Complementary Energy Principle

This study develops the general quasi-variational principles for nonconservative problems in the theory of elasticity such as the quasi-potential energy principle, the quasi-complementary energy principle, the generalized quasi-variational principle and quasi-Hamilton principle. The application of these quasi-variational principles to finite element analysis is also discussed and illustrated with some examples. The total variational principle for nonconservative systems of two variables is also studied.

On interelement boundary terms of the variational principles in finite element analysis

1984 ◽  
Vol 19 (1-2) ◽  
pp. 291-301
Author(s):  
Yutaka Yoshida ◽  
Takashi Nomura
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Variational Principles ◽  
Element Analysis ◽  
Boundary Terms

Numerical Simulation for Stress Field Due to Corrosion of Rebar in Concrete Structure

2011 ◽  
Vol 255-260 ◽  
pp. 137-141
Author(s):  
Zhen Xiao ◽  
Jin Wu
Keyword(s):  
Numerical Simulation ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Concrete Structure ◽  
Volume Expansion ◽  
Theory Of Elasticity ◽  
Concrete Cover ◽  
Analysis Software ◽  
Element Analysis ◽  
Distribution Of Stress

Due to the volume expansion of corroded rebar products, the cracking of the concrete cover would occur, and has a serious impact on the durability of the concrete structure. In this paper, a numerical model was established for the simulation of the corrosion of rebar in concrete structures with the aid of finite element analysis software. The distribution of stress in concrete around rebar, that due to the expansion of these corroded rebar products, was obtained. The theory of elasticity method is used to validate the distribution of stress in concrete around rebar. The location of cracks would be predicted by the distribution of stress in concrete around the rebar.

Computing Method and Circuit Realization of Neural Network on Finite Element Analysis

2012 ◽  
Vol 195-196 ◽  
pp. 758-763
Author(s):  
Li Kun Cui ◽  
Wei Wang ◽  
Zhuo Li
Keyword(s):  
Neural Network ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Computing Time ◽  
Hopfield Neural Network ◽  
Theory Of Elasticity ◽  
Practical Significance ◽  
Stable Equilibrium Point ◽  
Element Analysis ◽  
Circuit Realization

The finite element analysis in theory of elasticity is corresponded to the quadratic programming with equality constraint, which can be further transformed into the unconstrained optimization. In the paper, the question is solved by modified Hopfield neural network based on the energy function of the neural network equals to the objective function of the finite element method and the minimum point, which is the stable equilibrium point of the network system, is the solution. In addition the authors present the computer simulation and analogue circuit experiment to verify this method. The results are revealed that: 1) The results of improved Hopfield neural network are reliable and accuracy; 2) The improved Hopfield neural network model has an advantage on circuit realization and the computing time, which is unrelated with complexity of the structure, is constant. It is practical significance for the research and calculation.

Variational principles and finite element analysis for polarization gradient theory

1990 ◽  
Vol 5 (6) ◽  
pp. 447-458
Author(s):  
G. R. Buchanan ◽  
M. Sallah ◽  
K. F. Fong
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Variational Principles ◽  
Gradient Theory ◽  
Element Analysis ◽  
Polarization Gradient
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