IUTAM Symposium on Computational Methods in Contact by Frédéric Lebon, Michel Raous, Iulian Rosu (auth.), Peter

By Frédéric Lebon, Michel Raous, Iulian Rosu (auth.), Peter Wriggers, Udo Nackenhorst (eds.)

This booklet includes the court cases of the IUTAM Symposium held in Hanover, Germany, in November 2006. assurance contains new mathematical options like multi-level ways, new discretization suggestions just like the mortar-method, complicated functions of unilateral touch to masonry buildings, decohesion research and tractive rolling of tires.

It offers an exceptional evaluation of contemporary innovations and state of the art discretizations schemes utilized in touch mechanics. assurance will stimulate destiny collaboration in technology with regards to computational touch mechanics and within the association of minisymposia and workshops within the region touch mechanics.

The IUTAM Symposium introduced jointly scientists who paintings at the frontier of analysis in computational touch mechanics or in heavily similar topics. on the assembly, 37 scientists provided their most recent findings within the region of discretization strategies for touch, algorithms and fascinating numerical simulations of touch difficulties.

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Additional resources for IUTAM Symposium on Computational Methods in Contact Mechanics: Proceedings of the IUTAM Symposium held in Hannover, Germany, November 5–8, 2006

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Once the interpolation points are obtained on the macroscopic stress space, the straightforward elastic-plastic algorithm yields the response at the macroscopic level. The local stress history can be obtained at selected points of interest by a stress-recovery procedure. The procedure results in a considerable reduction of the computational effort needed for elastic-plastc finite-element analyses of real composite structures and closely followed the nonlinear mechanical behavior at the macroscopic level.

A linear programming algorithm was employed to solve the resulting discrete controlling equations. Baggio and Trovalusci [2] proposed linear programming approaches for the limit analysis of rigid block structures involving friction. Ferris and Tin-Loi [10] computed the collapse load of discrete rigid block systems with frictional contact interfaces as a special constrained optimization problem (the so-called mathematical problem under equilibrium constraints, MPEC). Gilbert et al. [12] presented a computational limit analysis procedure for rigid block assemblages comprising non-associative frictional interfaces.

In analogy with the expression of elastic-perfectly plastic constitutive model, we introduce here the slip function f˜i and slip potential function g˜i for the contact description, which are given as follows: f˜i = pτ1 cos αi + β 2 pτ2 sin αi + γi µ1 pn ≤ 0, g˜i = pτ1 cos αi + β 2 pτ2 sin αi − c, f˜s+1 = pn ≥ 0, g˜ s+1 = pn , i = 1, 2, . . , s, (9) where the terms with “˜” are the variables for the contact description and c is a constant. The contact plastic (slip or separation) incremental displacement vector, therefore, can be obtained by p uc = λ˜ k ∂ g˜k ∂pc = ∂ g˜ ∂pc T ˜ λ, λ˜ ≥ 0.

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