Variational principles of nonlinear dynamical fluid–solid interaction systems

1997 ◽  
Vol 355 (1726) ◽  
pp. 1063-1095 ◽  
Author(s):  
J. T. Xing ◽  
W. G. Price
Keyword(s):  
Variational Principles ◽  
Nonlinear Dynamical ◽  
Fluid Solid Interaction

Recent Engineering Applications in China on Coupling Boundary Elements With Finite Elements

1997 ◽  
Vol 50 (12) ◽  
pp. 731-740
Author(s):  
Xiaoyan Lei ◽  
Qinghua Du
Keyword(s):  
Finite Elements ◽  
Variational Principles ◽  
Domain Decomposition Method ◽  
Local Stress ◽  
Boundary Elements ◽  
Review Article ◽  
Engineering Practice ◽  
Transient Problems ◽  
The Impact ◽  
Fluid Solid Interaction

This review article deals with some recent investigations in China in coupling boundary elements (BEs) with finite elements (FEs) during the last decade. Two types of combination schemes are used for coupling the BEs with FEs are discussed. One is merging of FE to BE for the sake of high local stress or stress intensity factor computations. The other is coupling BE to FE for fitting BEs with infinite boundary requirements to the case of some complex local FEs computations. Fluid-solid interaction, and the impact response problem are examined by FE-BE coupling methods. The domain decomposition method of alternative FE and natural BE over unbounded domain, variational principles and transient problems in coupling FE-BE are also discussed. Several application examples in engineering practice solved by the combination of FE-BE are given. The results show that the combination of the two methods should be one of the feasible engineering design approaches to the structural analysis of complex structures or machinery. This review article contains 70 references.

Variational Principles in Mathematical Physics, Geometry, and Economics

2009 ◽  
Author(s):  
Alexandru Kristaly ◽  
Vicentiu D. Radulescu ◽  
Csaba Varga
Keyword(s):  
Variational Principles ◽  
Mathematical Physics

A Finite Element Analysis of the General Rolling Contact Problem for a Viscoelastic Rubber Cylinder

1988 ◽  
Vol 16 (1) ◽  
pp. 18-43 ◽  
Author(s):  
J. T. Oden ◽  
T. L. Lin ◽  
J. M. Bass
Keyword(s):  
Finite Element ◽  
Variational Principles ◽  
Standing Waves ◽  
Rolling Contact ◽  
Finite Element Models ◽  
Viscoelastic Cylinder ◽  
Element Analysis ◽  
Elastic Rubber ◽  
Frictional Effects ◽  
Rough Foundation

Abstract Mathematical models of finite deformation of a rolling viscoelastic cylinder in contact with a rough foundation are developed in preparation for a general model for rolling tires. Variational principles and finite element models are derived. Numerical results are obtained for a variety of cases, including that of a pure elastic rubber cylinder, a viscoelastic cylinder, the development of standing waves, and frictional effects.

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