By Jörg Büttner, Bernd Simeon (auth.), Professor Dr. Kolumban Hutter, Dr. Herbert Baaser (eds.)
This e-book is dedicated to the deformation and failure in metal fabrics, summarizing the result of a examine programme financed via the "Deutsche Forschungsgemeinschaft". It provides the hot engineering in addition to mathematical key elements of this box for a large group. Its major concentration is at the constitutive behaviour in addition to the wear and tear and fracture of metal fabrics, masking their mathematical beginning, modelling and numerics, but in addition proper experiments and their verification.
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Extra info for Deformation and Failure in Metallic Materials
X ........ Stepsize h : £'P X : Von-Mises stress - : Implicit Euler - -: Gau s s = 2 _. : Rada l! IIA s = 2 Fig. 2. Average relative error of differential variables in plastic points at time t = 32 for 37 elements ture the elastoplastic flow. Furthermore, the results of Section 4 suggest an alternative implementation by the reverse method of lines. Acknowledgement: The authors would like to thank SFB 298 for the fruitful cooperation and the support during the past years. References 1.
2. Average relative error of differential variables in plastic points at time t = 32 for 37 elements ture the elastoplastic flow. Furthermore, the results of Section 4 suggest an alternative implementation by the reverse method of lines. Acknowledgement: The authors would like to thank SFB 298 for the fruitful cooperation and the support during the past years. References 1. , Tvergaard V. (2000) A new algorithmic approach treating nonlo- cal effects at finite rate-independent deformation using the Rousselier damage model.
1996) Coupling of FEM and BEM for interface problems in viscoplasticity and plasticity with hardening. SIAM J. Ana!. 33:171-208 8. Cameron F. (1999) A class of low order DIRK methods for a class of DAEs. App!. Numer. Math 31(1):1-16 9. , Lions J . L. (1976) Inequalities in Mechanics and Physics. Springer, Berlin New York 10. Ellsiepen P. (1999) Zeit- und ortsadaptive Verfahren angewandt auf Mehrphasenprobleme poroser Medien. Bericht Nr. Il-3 , Institut fur Mechanik, Universitat Stuttgart 11. Ellsiepen P.