Logic, Computation and Set Theory by Forster, T

By Forster, T

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Comput. Mech. P. Boso, P. A. Schrefler 6. : Computational Contact Mechanics. , Chichester (2002) 7. : Thermomechanical contact – a rigorous but simple numerical approach. Comput. Mech. 46, 47–53 (1993) 8. : On contact between three-dimensional beams undergoing large deflections. Commun. Numer. Meth. En. 13, 429–438 (1997) 9. : Contact with friction between beams in 3-D space. Int. J. Numer. Meth. Eng. 49, 977–1006 (2000) 10. : Real contact mechanisms and finite element formulation – a coupled thermomechanical approach.

Nanoscale material models for specific applications: soft adhesives, liquids, granular media 12. Parameter identification and determination Substantial work has been done to address the first challenge [4, 15]. The challenges posed by complex microstructures are illustrated by the examples in Fig. 1. An efficient formulation for stable peeling computations is presented in [12]. Challenges 2, 3, 5 and 7 are addressed in the following sections. Challenges 8–12 are mostly open research topics that call for further theoretical, experimental and computational research.

The resulting algorithm is indicated as LP-AU in the following. With respect to the LP-IP method, the LP-AU one has the additional advantage to reduce the penetration error inherent to the penalty method, due to the introduction of an augmentation scheme. The more largely the correct maximum pressure is underestimated, the more updates are performed for the augmented forces, the smaller is the norm of the normal penetration at convergence. Therefore, this method improves the quality of the solution, in terms of enforcement of the impenetrability condition.

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