Nonlinear Transient Phenomena in Elastic-Plastic Solids

1982 ◽  
Vol 108 (6) ◽  
pp. 1297-1311
Author(s):  
Jean H. Prevost
Author(s):  
Vincent Boucly ◽  
Daniel Ne´lias ◽  
Michel Brunet

Nowadays, Finite Elements softwares allow the user to model efficiently the contact between two solids. It is though necessary to make numerous assumptions in order to compute a contact in a reasonable time: generally surfaces are smooth and the mesh is too coarse to accurately study transient phenomena. Moreover, friction on the surface is rarely taken into account since models are usually axi-symmetric. This paper presents a semi-analytical formulation that allows computing the contact between two elastic-plastic solids with rough surfaces. The numerical methods used, i.e. the conjugate gradient and the fast Fourier transform allow to refine the mesh drastically. The main advantage of this formulation over Finite Elements method is the much shorter computation times. This model takes into consideration the hardening of material as well as friction and frictional heating at the interface. Loading can be vertical or rolling/sliding. This formulation allows realizing cyclic loadings in order to model numerous engineering problems as running-in, fretting, asperities tugging, as well as electro-mechanical micro-contacts. A comparison is made between the vertical contact (static loading) and the rolling/sliding contact (transient loading) in the case of an adiabatic elastic sphere rotating and pressed against a rough and stationary elastic-plastic surface. The influence of the friction coefficient is underlined.


1996 ◽  
Vol 18 (4) ◽  
pp. 14-22
Author(s):  
Vu Khac Bay

Investigation of the elastic state of curve beam system had been considered in [3]. In this paper the elastic-plastic state of curve beam system in the form of cylindrical shell is analyzed by the elastic solution method. Numerical results of the problem and conclusion are given.


1970 ◽  
Author(s):  
E. I. Griggs ◽  
J. L. Carson ◽  
R. J. Schoenhals ◽  
Edgar R. F. Winter

2001 ◽  
Vol 29 (1) ◽  
pp. 2-22 ◽  
Author(s):  
T. Okano ◽  
M. Koishi

Abstract “Hydroplaning characteristics” is one of the key functions for safe driving on wet roads. Since hydroplaning depends on vehicle velocity as well as the tire construction and tread pattern, a predictive simulation tool, which reflects all these effects, is required for effective and precise tire development. A numerical analysis procedure predicting the onset of hydroplaning of a tire, including the effect of vehicle velocity, is proposed in this paper. A commercial explicit-type FEM (finite element method)/FVM (finite volume method) package is used to solve the coupled problems of tire deformation and flow of the surrounding fluid. Tire deformations and fluid flows are solved, using FEM and FVM, respectively. To simulate transient phenomena effectively, vehicle-body-fixed reference-frame is used in the analysis. The proposed analysis can accommodate 1) complex geometry of the tread pattern and 2) rotational effect of tires, which are both important functions of hydroplaning simulation, and also 3) velocity dependency. In the present study, water is assumed to be compressible and also a laminar flow, indeed the fluid viscosity, is not included. To verify the effectiveness of the method, predicted hydroplaning velocities for four different simplified tread patterns are compared with experimental results measured at the proving ground. It is concluded that the proposed numerical method is effective for hydroplaning simulation. Numerical examples are also presented in which the present simulation methods are applied to newly developed prototype tires.


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