Buchbesprechungen

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Simulation of forming processes by using a new large deformation solidshell concept

This contribution deals with a new finite element formulation for the efficient simulation of forming processes, in particular for sheet metal forming. For that goal an isoparametric eight-node solid-shell formulation with linear ansatz functions is developed in which the undesirable effect of locking is completely eliminated. So only one element over the thickness is necessary which increases noticeably the numerical efficiency. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)     

Allgemeine Stabilitätstheorie der Schalen

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Labelling classes by sets

Let Q be an equivalence relation whose equivalence classes, denoted Q[x], may be proper classes. A function L defined on Field(Q) is a labelling for Q if and only if for all x,L(x) is a set andL is a labelling by subsets for Q if and only ifBG denotes Bernays-Gödel class-set theory with neither the axiom of foundation, AF, nor the class axiom of choice, E. The following are relatively consistent with BG. (1) E is true but there is an equivalence relation with no labelling.(2) E is true and every equivalence relation has a labelling, but there is an equivalence relation with no labelling by subsets.This research was partially supported by Fondecyt 1980855 and by Fondecyt 1040846     

Fettuntersuchungen

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