.png){kind=icon}
返回
Procedures to build trust in nonlinear elastoplastic integration algorithm: solution and code verification
.png){kind=icon}
PRE
AI
DOI：10.1007/s00366-019-00787-0.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
In the last decades, with the development of a number of nonlinear elastic-plastic integration algorithms, the correctness or accuracy of the underlying solution becomes the main concern, in both academia and industry. Correctness or accuracy can be estimated (and improved) using verification. Verification is one of the main procedures to build trust in the numerical modeling of any phenomena. A full verification process comprises (a) solution verification (calculation verification) and (b) code verification. Presented in this paper are verification procedures for constitutive, elastic-plastic integration algorithms, as used in computational nonlinear solid mechanics. Both explicit and implicit integration algorithms for elastic-plastic constitutive equations are verified using existing and new developed verification technique. Verification techniques used include prescribed solution forcing and Richardson extrapolation. In addition, grid convergence index is applied to estimate the algorithmic uncertainty during the integration process. Verification of elastic-plastic integration algorithms is applied to a number of material models: from simple von Mises perfectly plastic to sophisticated hyperbolic Drucker-Prager with nonlinear Armstrong-Frederick rotational kinematic hardening. Besides, algorithmic uncertainty is estimated with both associative and non-associative material model. In addition, caveats and pitfalls to consider in the code/solution verification processes are deeply discussed.
Keyword:
Elastoplastic algorithms
Prescribed solution forcing
Richardson extrapolation
Grid convergence index (GCI)
AI总结
对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。
期刊
IF:
4.9
论文数:
2.6K
被引数:
9.3K
机构
引用论文
.png){kind=icon}
318. Studies of the autoxidation of tetralin. Part II. The decomposition of tetralin hydroperoxide
PREAI
分享收藏The platelet-to-lymphocyte ratio as a significant prognostic factor to predict survival outcomes in patients with synchronous metastatic renal cell carcinoma血小板与淋巴细胞比率作为预测同步转移性肾细胞癌患者生存结果的重要预后因素
OAAI
OAAI分享收藏
查看更多内容