By Jim R. Barber, Young Ju Ahn (auth.), Georgios E. Stavroulakis (eds.)
Contact mechanics is an energetic study sector with deep theoretical and numerical roots. The hyperlinks among nonsmooth research and optimization with mechanics were investigated intensively over the last a long time, specifically in Europe. The learn of complementarity difficulties, variational -, quasivariational- and hemivariational inequalities bobbing up in touch mechanics and past is a scorching subject for interdisciplinary study and cooperation. the desires of for powerful resolution algorithms compatible for giant scale functions and the usual updates of the respective components in significant advertisement computational mechanics codes, display that this interplay isn't really limited to the educational setting. The contributions of this booklet were chosen from the members of the CMIS 2009 overseas convention which came about in Crete and endured a profitable sequence of specialised touch mechanics conferences.
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Additional info for Recent Advances in Contact Mechanics: Papers Collected at the 5th Contact Mechanics International Symposium (CMIS2009), April 28-30, 2009, Chania, Greece
We also show counter-examples where the criterion does not apply. We then turn to more complicated situations where the existence result cannot be used trivially, and discuss the computational methods that are available to check the criterion in practice using optimization software. It turns out that in suﬃces to solve a linear program (LP) when the problem is bi-dimensional, and a second order cone program (SOCP) when the problem is tri-dimensional. 1 Introduction, Motivations In this paper, the problem of the existence of solution for the Coulomb friction problem is addressed from a very practical point of view.
Necessity of the application of the history transfer algorithm, Fig. 5, is shown for deep drawing cases. A closed form solution for the penetration within the STAS approach is given for the plane and the quadratic surfaces (cylinder, sphere, torus). A reduced algorithm for CPP procedure is constructed for the revolution surfaces. A general geometrical approach to treat contact kinematics in the 2D case either as a reduction of the 3D case, or as a development based on a plane curve geometry is described in .
Thus, the current section is giving to a reader the complete structure of particular details which can be found in publications. The most powerful approach in the computational contact mechanics is to work in accordance with the geometry of contact bodies and construct all computational algorithms in a covariant form. This combination forms a geometrically exact theory of contact interaction. As is known, the closest distance between contacting bodies has become a natural measure of the contact interaction.
Recent Advances in Contact Mechanics: Papers Collected at the 5th Contact Mechanics International Symposium (CMIS2009), April 28-30, 2009, Chania, Greece by Jim R. Barber, Young Ju Ahn (auth.), Georgios E. Stavroulakis (eds.)