Journal ArticleDOI
Coupled variational principles of piezoelectricity
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TLDR
In this article, a family of generalized variational principles of piezoelectricity can be obtained straightforwardly from the field equations and boundary conditions via the semi-inverse method of establishing variational principle proposed by He without using Lagrange multipliers.About:
This article is published in International Journal of Engineering Science.The article was published on 2001-02-01. It has received 69 citations till now. The article focuses on the topics: Variational analysis & Finite element method.read more
Citations
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Generalized variational principles for ion acoustic plasma waves by He's semi-inverse method
TL;DR: Some generalized variational principles for ion-acoustic plasma waves were obtained by He's semi-inverse method as discussed by the authors, which has profound implications in physical understandings, explaining the interaction between various variables in an energy view and the existence of conservation law.
Journal ArticleDOI
Variational approach to (2+1)-dimensional dispersive long water equations
TL;DR: In this paper, a variational model for (2 + 1 ) -dimensional Broer-Kaup equations was established by the semi-inverse method, and the model was used for (1 + 2 )-dimensional turbo jet engines.
Journal ArticleDOI
Application of Vibration Technology to Polymer Electrospinning
TL;DR: In this article, the authors proposed a novel process for producing superfine fibers by forcing a polymer melt or solution through a spinnerette with an electric field, which can reduce the applied voltage to increase the fiber strength.
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Exact solutions of the coupled Higgs equation and the Maccari system using He's semi-inverse method and (G'G)-expansion method
TL;DR: The He's semi-inverse and the (G^'G)-expansion methods are used to construct exact solutions for complex nonlinear equations and it is observed that the suggested technique is compatible with the physical nature of such problems.
References
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Book
Variational Methods in Elasticity and Plasticity
TL;DR: In this article, the Statique Reference Record was created on 2004-09-07, modified on 2016-08-08, and was used for Elasticite and Plasticite.
Journal ArticleDOI
Semi-Inverse Method of Establishing Generalized Variational Principles for Fluid Mechanics With Emphasis on Turbomachinery Aerodynamics
TL;DR: The semi-inverse method suggested by the author is one of the best and most convenient ways to deduce generalized variational principles with multi-variables from partial differential equations (PDE) and boundary conditions (BC).
Journal ArticleDOI
Method of high-order lagrange multiplier and generalized variational principles of elasticity with more general forms of functionals
钱伟长,Chien Wei-zang +1 more
TL;DR: In this paper, it is shown that the stationary conditions of these functionals give these undetermined Lagrange multipliers in terms of original variables, and the substitutions of these results for Lagrangians into the above functionals lead to the functionals of these non-conditional variation principles.