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Fig. 4 reports final meshes obtained for the full elongation. In this figure, the deformed solution obtained with the coarse and the finer meshes are in good agreement. Fig. 5 shows the ratio of the current to initial radius at the necking section vs. the axial displacement. It is a comparison between numerical (this work and Simo and Hughes [7]) and experimental results [19]. The results are in good agreement with experimental and previously reported computations. 2. Impact of a copper rod nonlinear hardening law of the form: 0 p p sv ¼ s0v þ ðs1 v 2 sv Þð1 2 expð2d1 Þ þ h1 Þ E n r s0v h ð17Þ Material properties given by Norris et al.

Is Cþþ fast enough for scientific computing? Comput Phys 1994;8(6):690. [16] Zabaras N, Bao Y, Srikanth A, Frazier WG, continuum A. Lagrangian sensitivity analysis for metal forming processes with applications to die design problems. Int J Numer Meth Engng 2000;48:679–720. [17] Mason J, Levine D. Lex and Yacc, 2nd ed. No. 1-56592-000-7; 1992. [18] Pantale´ O. User manual of the finite element code DynELA v. 0. 9. 5. Av d’Azereix 65016 Tarbes, France: Laboratoire LGP ENI Tarbes; 2001. [19] Norris DM, Morran JRB, Scudder JK, Quinones DF.

Members and operators overload allow an easy writing of mathematical functions such as matrices product using a generic syntax of the form A ¼ B p C where A, B and C are three matrices of compatible sizes. The overloaded operators p and ¼ may use efficient matrix calculation and affectation algorithms associated with a set of basic checks like size compatibility of the operators. The same kind of operation is possible when the parameters are instances of different classes, such as the definition of the product of a matrix and a vector.

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