Comparison of barrier update strategies for interior point algorithms in single-crystal plasticity

Author:

Scheunemann Lisa,Steinmetz Felix,Nigro Paulo

Abstract

AbstractThis contribution discusses the influence of different barrier update strategies on the performance and robustness of an interior point algorithm for single-crystal plasticity at small strains. To this end, single-crystal plasticity is first briefly presented in the framework of a primal-dual interior point algorithm to outline the general algorithmic structure. The manner in which the barrier parameter is modified within the interior point method, steering the penalization of constraints, plays a crucial role for the robustness and efficiency of the overall algorithm. In this paper, we compare and analyze different strategies in the framework of crystal plasticity. In a thorough analysis of a numerical example covering a broad range of settings in monocrystals, we investigate robust hyperparameter ranges and identify the most efficient and robust barrier parameter update strategies.

Funder

Deutsche Forschungsgemeinschaft

Publisher

Springer Science and Business Media LLC

Reference62 articles.

1. Taylor, G.I.: The mechanism of plastic deformation of crystals. Part I.-Theoretical. Proceedings of the royal society of London. Ser. A Contain. Papers Math. Phys. Character 145(855), 362–387 (1934)

2. Havner, K.S.: The theory of finite plastic deformation of crystalline solids. In: H.G. Hokins, M.J.S. (ed.) Mechanics of Solids. The Rodnes Hill 60th Anniversary Volume, pp. 265– 302. Pergamon Press, Oxford ( 1982)

3. Mandel, J.: Plasticite Classique et Viscoplasticite: CISM International Centre for Mechanical Sciences. Springer, Cham (1972)

4. Koiter, W.T.: In: Sneddon, I.N., Hill, R. (eds.) Plasticite Classique et Viscoplasticite: CISM International Centre for Mechanical Sciences. North-Holland, Amsterdam Progress of solid mechanics 167–221 (1960)

5. Taylor, G.I.: Plastic strains in metals. J. Inst. Met. 62, 307–324 (1938)

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3