کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4964111 | 1447418 | 2017 | 27 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A Prange-Hellinger-Reissner type finite element formulation for small strain elasto-plasticity
ترجمه فارسی عنوان
فرمول عنصر محدود پیوند - هلیجرن - ریسنر برای الاستو - پلاستیکی کرنش کوچک
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
چکیده انگلیسی
In this contribution we propose a mixed variational formulation of the Prange-Hellinger-Reissner type for elasto-plasticity at small strains. Here, the displacements and the stresses are interpolated independently, which are balanced within the variational functional by the relation of the elastic strains and the partial derivative of the complementary stored energy with respect to the stresses. For the elasto-plastic material behavior a von Mises yield criterion is considered, where we restrict ourselves w.l.o.g. to linear isotropic hardening. In the proposed formulation we enforce the constraints arising from plasticity point-wise in contrast to the element-wise realization of the plastic return mapping algorithm suggested in Simo et al. (1989). The performance of the new formulation is demonstrated by the analysis of several benchmark problems. Here, we compare the point-wise treatment of elasto-plasticity with the original element-wise formulation of Simo et al. (1989). Furthermore, we derive an algorithmic consistent treatment for plane stress as well as for plane strain condition.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 317, 15 April 2017, Pages 400-418
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 317, 15 April 2017, Pages 400-418
نویسندگان
Jörg Schröder, Maximilian Igelbüscher, Alexander Schwarz, Gerhard Starke,