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Journal ArticleDOI

A critical comparison of two methods for solving elastic contact problems with friction

01 Jan 1991-Computers & Structures (Pergamon)-Vol. 41, Iss: 1, pp 93-97

TL;DR: This paper critically compares two methods that have appeared earlier, for solving elastic contact problems with friction, and the programming techniques that have been incorporated to optimize each of these methods have been detailed.

AbstractThis paper critically compares two methods that have appeared earlier, for solving elastic contact problems with friction. The programming techniques that have been incorporated to optimize each of these methods have been detailed. Three examples have been used for comparison, and the core and time requirements have been included. Some of the limitations of each method and observations made during implementation have been mentioned.

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Citations
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Journal ArticleDOI
Abstract: Finite element implementations of the classical (stick‐slip) and a regularized (elastic‐slip) friction laws are compared for a class of non‐linear slip criteria. The fully implicit method is used for integrating the friction law. A novel implementation of the stick‐slip law, that involved transformation to a non‐orthogonal coordinate system at each contact point, is assessed. A numerical comparison is carried out for a simple problem, that has previously been analysed in the literature. The convergence of the elastic‐slip law for increasing stiffness is evaluated in addition to convergence behaviour of the adopted Newton iterations for a given law.

12 citations


References
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Journal ArticleDOI
Abstract: A numerical procedure developed for solving the two-dimensional elastic contact problems with friction is presented. This is a generalization of a procedure developed by Francavilla and Zienkiewicz to include frictional effects under proportionate loading. The method uses the flexibility matrix obtained by inversion of condensed stiffness matrix formed by eliminating all the nodes except those where contact is likely to take place and those with external forces. Compatibility of displacements for both normal and tangential directions is applied to those nodes which do not slip. However, for the nodes which slip, compatibility of displacements is applied for normal direction only and slip condition is applied in the tangential direction. The technique has been applied to several problems and very good results have been obtained. The number of iterations needed are very small.

100 citations

Journal ArticleDOI
Abstract: This paper discusses a method for evaluation of contact stresses between two or more elastic bodies with frictional forces on the contact surfaces, by means of a finite element method. The matrix equation is solved by some nodal points being prepared on the contact surfaces. These nodal points are classified into "adhere to" or "slide over" one another categories, depending upon whether frictional forces are greater than the shearing forces or not, and contact conditions are applied for each case. For example, numerical results for two rectangular plates and two cylindrical columns having different sizes and Young's moduli which are compressed into one another are obtained. Contact pressure along the contact surface of rectangular plates without friction is in good agreement with the exact solution for semi-infinite plate, except near the end of the contact surface. Also the influences of friction on the contact stresses are discussed.

46 citations