By Vaz M.Jr., de Souza Neto E.A., Munoz-Rojas P.A. (eds.)

With its dialogue of concepts for modeling complicated fabrics utilizing new numerical options, regularly these according to the finite point approach, this monograph covers more than a few subject matters together with computational plasticity, multi-scale formulations, optimization and parameter identity, harm mechanics and nonlinear finite components.

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1924) Zur Theorie plastisPeric, D. A. (1999) cher Deformationen und der hierdurch A new computational model for Tresca im Material hervorgerufenen Nachspanplasticity at ﬁnite strains with an optinungen. Zeitschrift f¨ur Angewandte mal parameterization in the principal Mathematik und Mechanik, 4 (4), space. Computer Methods in Applied 323–334. Mechanics and Engineering, 171 (3-4), 7. Roˇs, M. and Eichinger, A. (1926) 463–489. , and Lerintiu, C. Bruchgefahr. Sonderdruck aus den Ver(2005) Explicit expressions for the plastic handlungen 2.

One important feature of Lemaitre’s original model is the fact that the state of stress triaxiality has a strong inﬂuence on the rate of damage growth. 52) ˙ in Eq. 43b). which takes part in the damage evolution equation, D, The inclusion of the hydrostatic component of σ in the deﬁnition of −Y implies ˙ increases (decreases) with increasing (decreasing) triaxiality ratio. This is that D in sharp contrast with the standard von Mises plasticity model where only the stress deviator has an inﬂuence on the dissipative mechanisms.

49] for more details on return mapping schemes). The algorithm for the numerical integration of the constitutive model starts with the deﬁnition of the so-called elastic trial state. ’’ p The goal of the algorithm is to ﬁnd the updated values of εn+1 , σn+1 , Rn+1 , and Dn+1 for a given strain increment ε within [tn , tn+1 ]. Considering a typical ﬁnite element framework, the material points correspond to the Gauss integration points. 4 Modiﬁed Local Damage Models stage. 48) in which the strain deviator and the volumetric strain have been denoted, respectively, by εd and εv .