Development of stress update algorithm based on finite difference method and its application to advanced constitutive models = 유한차분법 기반 응력적분법의 개발 및 고등구성방정식으로의 적용

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This study deals with stress update algorithm based on finite difference method. The developed algorithm based on multi-stage Euler backward method where the first and second derivatives of yield function are approximated by central difference method. With the developed algorithm, it is possible to conduct elastic-plastic finite element simulation without analytical first and second derivatives of yield function, which has been the biggest obstacle when advanced constitutive models such as Yld2000-2d[7], Yld2004[8], and homogeneous anisotropic hardening (HAH) model[23] are implemented for finite element modeling. For the verification purpose of the developed algorithm, single element simulation for r-value and stress directionalities prediction was conducted with Hill48 and Yld2000-2d anisotropic yield function under associated and non-associated flow rules. The simulation results were compared with the theoretical predictions and the results obtained from analytical Euler backward and Euler forward methods. To check the availability on distortional plasticity such as HAH model, single element tension followed by compression and tension (RD) followed by tension (TD) simulation were carried out and compared with the reference data. Finally, simulation for earing prediction with the developed algorithm was performed with various advanced constitutive models: Hill48 and Yld2000-2d under both associated and non-associated flow rules. The simulation results show a strong availability of the developed algorithm as an alternative to classical Euler backward method.
Advisors
Yoon, Jeongwhanresearcher윤정환researcher
Description
한국과학기술원 :기계공학과,
Publisher
한국과학기술원
Issue Date
2018
Identifier
325007
Language
eng
Description

학위논문(석사) - 한국과학기술원 : 기계공학과, 2018.2,[v, 73 p. :]

Keywords

Stress update algorithm▼aFinite difference model▼aAnisotropy▼aHomogeneous anisotropic hardening(HAH) model▼aBauschinger effect▼aEaring prediction; 응력적분법▼a유한 차분법▼a이방성▼a균질이방경화 모델▼a바우싱거 효과▼a귀 예측

URI
http://hdl.handle.net/10203/265906
Link
http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=733761&flag=dissertation
Appears in Collection
ME-Theses_Master(석사논문)
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