Finite element analysis of high tensile strength steel sheet by using complex step derivative approximations

Takeshi Uemori, Hiroshi Miyake, Tetsuo Naka, Michihiro Takiguchi, Fusahito Yoshida

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The framework for the complex step derivative approximations (hereafter CDSA) to calculate the consistent tangent moduli is studied. The present methods is one of the most effective methods to implement any material constitutive equations to the commercial finite element codes and does not suffer from calculation conditions and errors. In order to confirm the efficiency of CDSA, we developed the user subroutine code based on the CDSA using associative J2 flow rules with general nonlinear isotropic hardening rules that is commonly and widely utilized in commercial finite element codes. In this study, the user material subroutine 'Hypela2' of MSC.Marc (ver.2013.0.0) was utilized. The finite element calculation result by the proposal method shows a good agreement with the corresponding result by the MSC.Marc default setting. Also we apply the Yoshida-Uemori back stress model to the CDSA and evaluate this new technique to predict the deformation behavior of high tensile strength steel sheet.

Original languageEnglish
Title of host publicationKey Engineering Materials
PublisherTrans Tech Publications Ltd
Pages187-192
Number of pages6
Volume626
ISBN (Print)9783038352266
DOIs
Publication statusPublished - 2015
Externally publishedYes
Event12th Asia-Pacific Conference on Engineering Plasticity and Its Application, AEPA 2014 - Kaohsiung, Taiwan, Province of China
Duration: Sep 1 2014Sep 5 2014

Publication series

NameKey Engineering Materials
Volume626
ISSN (Print)10139826

Other

Other12th Asia-Pacific Conference on Engineering Plasticity and Its Application, AEPA 2014
CountryTaiwan, Province of China
CityKaohsiung
Period9/1/149/5/14

Fingerprint

Subroutines
Steel sheet
Tensile strength
Derivatives
Finite element method
Constitutive equations
Hardening

Keywords

  • Complex Step Derivative Approximations
  • Finite Element Analysis
  • High Tensile Strength Steel Sheet

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Uemori, T., Miyake, H., Naka, T., Takiguchi, M., & Yoshida, F. (2015). Finite element analysis of high tensile strength steel sheet by using complex step derivative approximations. In Key Engineering Materials (Vol. 626, pp. 187-192). (Key Engineering Materials; Vol. 626). Trans Tech Publications Ltd. https://doi.org/10.4028/www.scientific.net/KEM.626.187

Finite element analysis of high tensile strength steel sheet by using complex step derivative approximations. / Uemori, Takeshi; Miyake, Hiroshi; Naka, Tetsuo; Takiguchi, Michihiro; Yoshida, Fusahito.

Key Engineering Materials. Vol. 626 Trans Tech Publications Ltd, 2015. p. 187-192 (Key Engineering Materials; Vol. 626).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Uemori, T, Miyake, H, Naka, T, Takiguchi, M & Yoshida, F 2015, Finite element analysis of high tensile strength steel sheet by using complex step derivative approximations. in Key Engineering Materials. vol. 626, Key Engineering Materials, vol. 626, Trans Tech Publications Ltd, pp. 187-192, 12th Asia-Pacific Conference on Engineering Plasticity and Its Application, AEPA 2014, Kaohsiung, Taiwan, Province of China, 9/1/14. https://doi.org/10.4028/www.scientific.net/KEM.626.187
Uemori T, Miyake H, Naka T, Takiguchi M, Yoshida F. Finite element analysis of high tensile strength steel sheet by using complex step derivative approximations. In Key Engineering Materials. Vol. 626. Trans Tech Publications Ltd. 2015. p. 187-192. (Key Engineering Materials). https://doi.org/10.4028/www.scientific.net/KEM.626.187
Uemori, Takeshi ; Miyake, Hiroshi ; Naka, Tetsuo ; Takiguchi, Michihiro ; Yoshida, Fusahito. / Finite element analysis of high tensile strength steel sheet by using complex step derivative approximations. Key Engineering Materials. Vol. 626 Trans Tech Publications Ltd, 2015. pp. 187-192 (Key Engineering Materials).
@inproceedings{55800319517c4711b956329e8ceca340,
title = "Finite element analysis of high tensile strength steel sheet by using complex step derivative approximations",
abstract = "The framework for the complex step derivative approximations (hereafter CDSA) to calculate the consistent tangent moduli is studied. The present methods is one of the most effective methods to implement any material constitutive equations to the commercial finite element codes and does not suffer from calculation conditions and errors. In order to confirm the efficiency of CDSA, we developed the user subroutine code based on the CDSA using associative J2 flow rules with general nonlinear isotropic hardening rules that is commonly and widely utilized in commercial finite element codes. In this study, the user material subroutine 'Hypela2' of MSC.Marc (ver.2013.0.0) was utilized. The finite element calculation result by the proposal method shows a good agreement with the corresponding result by the MSC.Marc default setting. Also we apply the Yoshida-Uemori back stress model to the CDSA and evaluate this new technique to predict the deformation behavior of high tensile strength steel sheet.",
keywords = "Complex Step Derivative Approximations, Finite Element Analysis, High Tensile Strength Steel Sheet",
author = "Takeshi Uemori and Hiroshi Miyake and Tetsuo Naka and Michihiro Takiguchi and Fusahito Yoshida",
year = "2015",
doi = "10.4028/www.scientific.net/KEM.626.187",
language = "English",
isbn = "9783038352266",
volume = "626",
series = "Key Engineering Materials",
publisher = "Trans Tech Publications Ltd",
pages = "187--192",
booktitle = "Key Engineering Materials",

}

TY - GEN

T1 - Finite element analysis of high tensile strength steel sheet by using complex step derivative approximations

AU - Uemori, Takeshi

AU - Miyake, Hiroshi

AU - Naka, Tetsuo

AU - Takiguchi, Michihiro

AU - Yoshida, Fusahito

PY - 2015

Y1 - 2015

N2 - The framework for the complex step derivative approximations (hereafter CDSA) to calculate the consistent tangent moduli is studied. The present methods is one of the most effective methods to implement any material constitutive equations to the commercial finite element codes and does not suffer from calculation conditions and errors. In order to confirm the efficiency of CDSA, we developed the user subroutine code based on the CDSA using associative J2 flow rules with general nonlinear isotropic hardening rules that is commonly and widely utilized in commercial finite element codes. In this study, the user material subroutine 'Hypela2' of MSC.Marc (ver.2013.0.0) was utilized. The finite element calculation result by the proposal method shows a good agreement with the corresponding result by the MSC.Marc default setting. Also we apply the Yoshida-Uemori back stress model to the CDSA and evaluate this new technique to predict the deformation behavior of high tensile strength steel sheet.

AB - The framework for the complex step derivative approximations (hereafter CDSA) to calculate the consistent tangent moduli is studied. The present methods is one of the most effective methods to implement any material constitutive equations to the commercial finite element codes and does not suffer from calculation conditions and errors. In order to confirm the efficiency of CDSA, we developed the user subroutine code based on the CDSA using associative J2 flow rules with general nonlinear isotropic hardening rules that is commonly and widely utilized in commercial finite element codes. In this study, the user material subroutine 'Hypela2' of MSC.Marc (ver.2013.0.0) was utilized. The finite element calculation result by the proposal method shows a good agreement with the corresponding result by the MSC.Marc default setting. Also we apply the Yoshida-Uemori back stress model to the CDSA and evaluate this new technique to predict the deformation behavior of high tensile strength steel sheet.

KW - Complex Step Derivative Approximations

KW - Finite Element Analysis

KW - High Tensile Strength Steel Sheet

UR - http://www.scopus.com/inward/record.url?scp=84907069087&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84907069087&partnerID=8YFLogxK

U2 - 10.4028/www.scientific.net/KEM.626.187

DO - 10.4028/www.scientific.net/KEM.626.187

M3 - Conference contribution

SN - 9783038352266

VL - 626

T3 - Key Engineering Materials

SP - 187

EP - 192

BT - Key Engineering Materials

PB - Trans Tech Publications Ltd

ER -