𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Extension of generalized plasticity to finite deformations and non-linear hardening

✍ Scribed by C. Hüttel; A. Matzenmiller

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
349 KB
Volume
36
Category
Article
ISSN
0020-7683

No coin nor oath required. For personal study only.

✦ Synopsis

The generalized plasticity model\ as presented by Lubliner "0880#\ Lubliner et al [ "0882# and Auricchio et al[ "0881#\ is a generalization of classical rate!independent plasticity with a yield surface[ This material model is able to describe a reloading transient during the reloading process of a specimen\ which is shown in the asymptotic approach of the reloading curve to the initial load curve in the stressÐstrain diagram\ as observed in Lubhahn and Felger "0850# for copper or in Greenstreet et al[ "0860# for graphite[ In the present paper an advantageous extension of the generalized plasticity model to _nite plastic strain regimes is given[ Classical plasticity and the model in Auricchio and Taylor "0884# for linear kinematic and isotropic hardening rules are included as special cases in the proposed concept[ It will be shown that the suggested modi_cation yields a mathematically simple structure of the constitutive relations and an e.cient stress algorithm\ adaptable to _nite element programs similar to that in Auricchio and Taylor "0884#[ Special attention is focused on a correct treatment of the loading criteria[ Þ 0888 Elsevier Science Ltd[ All rights reserved[ Keywords] Finite deformation^Internal variable^Loading conditions^Modelling of asymptotic reloading^Plasticity

📜 SIMILAR VOLUMES

Variationally consistent modeling of fin
Variationally consistent modeling of finite strain plasticity theory with non-linear kinematic hardening
✍ J. Mosler 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 749 KB

Variational constitutive updates provide a physically and mathematically sound framework for the numerical implementation of material models. In contrast to conventional schemes such as the returnmapping algorithm, they are directly and naturally based on the underlying variational principle. Hence,

NON-LINEAR DYNAMICS OF AN ELASTO–PLASTIC
NON-LINEAR DYNAMICS OF AN ELASTO–PLASTIC OSCILLATOR WITH KINEMATIC AND ISOTROPIC HARDENING
✍ M.A. Savi; P.M.C.L. Pacheco 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 338 KB

This contribution reports on a dynamic analysis of an elasto-plastic oscillator. Kinematic and isotropic hardening are considered. The equations of motion have five state variables associated with complementary conditions. System dynamics is treated by performing a split in phase space in two parts.