[논문]A coupled yield criterion for anisotropic hardening with analytical description under associated flow rule: Modeling and validation

Hu, Qi; Yoon, Jeong Whan; Manopulo, Niko; Hora, Pavel

doi:10.1016/j.ijplas.2020.102882

[해외논문] A coupled yield criterion for anisotropic hardening with analytical description under associated flow rule: Modeling and validation

International journal of plasticity, v.136, 2021년, pp.102882 -

Hu, Qi (Department of Mechanical Engineering, KAIST, Science Town) , Yoon, Jeong Whan (Department of Mechanical Engineering, KAIST, Science Town) , Manopulo, Niko (AutoForm Development GmbH) , Hora, Pavel (Institute of Virtual Manufacturing, ETH Zurich)

Abstract ▼ AI-Helper

Abstract A fourth order polynomial yield criterion (Poly4) and a non-quadratic yield function are coupled under associated flow rule to describe the evolution of anisotropic yielding behavior analytically. The Poly4 part takes a great role in describing the evolution of these anisotropic behaviors throughout deformation history. The non-quadratic part is isotropic under uniaxial tension loading, which is supposed to control the curvature of yield surface. The parameters in the proposed yield criterion can be determined by analytical expressions using the four hardening curves along 0, 45, 90° and biaxial directions and also r-values, which doesn't need an optimization process and an interpolation method for describing the evolution of yield loci. Beyond the r-values along 0, 45, and 90°, additional two r-values can be used to analytically determine the nine parameters based on the availability of the data. To guarantee the convexity of the proposed yield criterion, an analytical method is developed by using the method of order principal minor determinant. The accuracy and effectiveness of the proposed yield criterion are verified with six different materials and compared with the Yld2000-2d yield criterion. The results show that the proposed yield function maintains great accuracy for anisotropic hardening with increasing equivalent plastic strain (EPS) beyond the initial yield loci. This yield criterion not only can accurately predict the yield stresses along four monotonic loading conditions, but also significantly reduces the error along other monotonic loading conditions. The proposed yield criterion is implemented into the implicit FEM code AutoForm R8 using user yield function in the development version and it accurately predicted the eight ears of AA3104-H19 and AA5042-H2 after a circular cup drawing. Highlights A new yield function based on associated flow rule is proposed to describe the anisotropic hardening analytically. Four directional hardening curves (0, 45, 90, b) and 3 to 5 r-values are used to describe simple or complex anisotropy. The yield function coefficients are also obtained from analytical equations instead of any optimization process. Verifications were conducted with several different FCC and BCC materials, including a complex eight earing prediction.

Keyword

참고문헌 (56)

Int. J. Mech. Sci. Ahn 51 718 2009 10.1016/j.ijmecsci.2009.08.003 Modeling of anisotropic plastic behavior of ferritic stainless steel sheet

상세보기
Int. J. Plast. Aretz 24 1457 2008 10.1016/j.ijplas.2007.10.002 A simple isotropic-distortional hardening model and its application in elastic？plastic analysis of localized necking in orthotropic sheet metals

상세보기
Int. J. Non Lin. Mech. Aretz 51 97 2013 10.1016/j.ijnonlinmec.2012.12.007 New convex yield functions for orthotropic metal plasticity

상세보기
J. Mater. Process. Technol. Banabic 157 462 2004 10.1016/j.jmatprotec.2004.07.106 An anisotropic yield criterion for sheet metals

상세보기
Int. J. Plast. Banabic 21 493 2005 10.1016/j.ijplas.2004.04.003 An improved analytical description of orthotropy in metallic sheets

상세보기
Int. J. Plast. Barlat 5 51 1989 10.1016/0749-6419(89)90019-3 Plastic behavior and stretchability of sheet metals. Part I: a yield function for orthotropic sheets under plane stress conditions

상세보기
Int. J. Plast. Barlat 7 693 1991 10.1016/0749-6419(91)90052-Z A six-component yield function for anisotropic materials

상세보기
J. Mech. Phys. Solid. Barlat 45 1727 1997 10.1016/S0022-5096(97)00034-3 Yield function development for aluminum alloy sheets

상세보기
Int. J. Plast. Barlat 19 1297 2003 10.1016/S0749-6419(02)00019-0 Plane stress yield function for aluminum alloy sheets-part 1: theory

상세보기
Int. J. Plast. Barlat 21 1009 2005 10.1016/j.ijplas.2004.06.004 Linear transformation-based anisotropic yield functions

상세보기
Int. J. Plast. Barlat 27 1309 2011 10.1016/j.ijplas.2011.03.003 An alternative to kinematic hardening in classical plasticity

상세보기
Int. J. Plast. Barlat 46 130 2013 10.1016/j.ijplas.2012.07.002 Extension of homogeneous anisotropic hardening model to cross-loading with latent effects

상세보기
Int. J. Plast. Barlat 58 201 2014 10.1016/j.ijplas.2013.11.002 Enhancements of homogeneous anisotropic hardening model and application to mild and dual-phase steels

상세보기
Int. J. Plast. Cazacu 20 2027 2004 10.1016/j.ijplas.2003.11.021 A criterion for description of anisotropy and yield differential effects in pressure-insensitive metals

상세보기
Int. J. Plast. Cazacu 22 1171 2006 10.1016/j.ijplas.2005.06.001 Orthotropic yield criterion for hexagonal closed packed metals

상세보기
Comput. Methods Appl. Mech. Eng. Choi 345 123 2019 10.1016/j.cma.2018.10.031 Stress integration-based on finite difference method and its application for anisotropic plasticity and distortional hardening under associated and non-associated flow rules

상세보기
Int. J. Plast. Cvitani 24 646 2008 10.1016/j.ijplas.2007.07.003 A finite element formulation based on non-associated plasticity for sheet metal forming

상세보기
Int. J. Solid Struct. Dick 151 195 2018 10.1016/j.ijsolstr.2018.03.008 Plastic anisotropy and failure in thin metal: material characterization and fracture prediction with an advanced constitutive model and polar EPS (effective plastic strain) fracture diagram for AA 3014-H19

상세보기
Proc. Roy. Soc. Lond. Hill 193 1948 A theory of the yielding and plastic flow of anisotropic metals
Hora 21 2009 Forming Technology Forum 2009, Zurich Modeling of anisotropic hardening behaviour based on Barlat 2000 yield locus description
J. Appl. Mech. Trans. Hosford 39 2 607 1972 10.1115/1.3422732 A generalized isotropic yield criterion

상세보기
Int. J. Plast. Hu 99 248 2017 10.1016/j.ijplas.2017.09.010 A normalized stress invariant-based yield criterion: modeling and validation

상세보기
Eur. J. Mech. Solid. Hu 67 45 2018 10.1016/j.euromechsol.2017.08.017 On the calculation of plastic strain by simple method under non-associated flow rule

상세보기
J. Mech. Phys. Solid. Karafillis 41 1859 1993 10.1016/0022-5096(93)90073-O A general anisotropic yield criterion using bounds bad a transformation weighting tensor

상세보기
Int. J. Plast. Kuwabara 23 3 385 2007 10.1016/j.ijplas.2006.06.003 Advances in experiments on metal sheets and tubes in support of constitutive modeling and forming simulations

상세보기
Int. J. Plast. Lee 99 120 2017 10.1016/j.ijplas.2017.08.007 A yield criterion through coupling of quadratic and non-quadratic functions for anisotropic hardening with non-associated flow rule

상세보기
Int. J. Plast. Lee 110 145 2018 10.1016/j.ijplas.2018.06.013 Kinematic hardening model considering directional hardening response

상세보기
Int. J. Plast. Lee 122 73 2019 10.1016/j.ijplas.2019.07.007 Combined anisotropic and distortion hardening to describe directional response with Bauschinger effect

상세보기
Int. J. Plast. Li 82 127 2016 10.1016/j.ijplas.2016.03.002 Anisotropic and asymmetrical yielding and its distorted evolution: modeling and applications

상세보기
Int. J. Plast. Lou 101 125 2018 10.1016/j.ijplas.2017.10.012 Anisotropic yield function based on stress invariants for BCC and FCC metals and its extension to ductile fracture criterion

상세보기
Int. J. Mech. Sci. Lou 66 214 2013 10.1016/j.ijmecsci.2012.11.010 Consideration of strength differential effect in sheet metals with symmetric yield functions

상세보기
Mattiasson vol. 778 395 2005 On the influence of the yield locus shape in the simulation of sheet stretch forming
Int. J. Plast. Nixon 26 516 2010 10.1016/j.ijplas.2009.08.007 Anisotropic response of high-purity a-titanium: experimental characterization and constitutive modeling

상세보기
Int. J. Plast. Park 121 76 2019 10.1016/j.ijplas.2019.04.015 A criterion for general description of anisotropic hardening considering strength differential effect with non-associated flow rule

상세보기
Peters 2015 Yield Functions Taking into Account Anisotropic Hardening Effects for an Improved Virtual Representation of Deep Drawing Processes (PhD Thesis, ETH Zurich)
Int. J. Material Form. Peters 7 447 2014 10.1007/s12289-013-1140-0 A strain rate dependent anisotropic hardening model and its validation through deep drawing experiments

상세보기
Int. J. Plast. Plunkett 23 1001 2007 10.1016/j.ijplas.2006.10.008 Elastic-viscoplastic anisotropic modeling of textured metals and validation using the Taylor cylinder impact test

상세보기
Comput. Mater. Sci. Safaei 81 15 2014 10.1016/j.commatsci.2013.05.035 An evolutionary anisotropic model for sheet metals based on non-associated flow rule approach

상세보기
Int. J. Plast. Soare 24 915 2008 10.1016/j.ijplas.2007.07.016 On the use of homogeneous polynomials to develop anisotropic yield functions with applications to sheet forming

상세보기
Int. J. Plast. Stoughton 18 687 2002 10.1016/S0749-6419(01)00053-5 A non-associated flow rule for sheet metal forming

상세보기
Int. J. Plast. Stoughton 20 705 2004 10.1016/S0749-6419(03)00079-2 A pressure-sensitive yield criterion under a non-associated flow rule for sheet metal forming

상세보기
Int. J. Plast. Stoughton 22 391 2006 10.1016/j.ijplas.2005.03.002 Review of Drucker's postulate and the issue of plastic stability in metal forming

상세보기
Int. J. Plast. Stoughton 24 583 2008 10.1016/j.ijplas.2007.07.002 On the existence of indeterminate solutions to the equations of motion under non-associated flow

상세보기
Int. J. Plast. Stoughton 25 1777 2009 10.1016/j.ijplas.2009.02.003 Anisotropic hardening and non-associated flow in proportional loading of sheet metals

상세보기
Int. J. Solid Struct. Stoughton 45 3516 2012 Path independent forming limits in strain and stress spaces
J. Mater. Process. Technol. Suttner 235 121 2016 10.1016/j.jmatprotec.2016.04.022 Experimental and numerical investigation of a strain rate controlled hydraulic bulge test of sheet metal

상세보기
Comput. Mater. Sci. Wang 47 12 2009 10.1016/j.commatsci.2009.06.008 The equivalent plastic strain-dependent Yld2000-2d yield function and the experimental verification

상세보기
Int. J. Mech. Sci. Wu 169 105320 2020 10.1016/j.ijmecsci.2019.105320 A non-associated constitutive model considering anisotropic hardening for orthotropic anisotropic materials in sheet metal forming

상세보기
Int. J. Plast. Yoon 22 174 2006 10.1016/j.ijplas.2005.03.013 Prediction of six or eight ears in a drawn cup based on a new anisotropic yield function

상세보기
Int. J. Mech. Sci. Yoon 52 12 1563 2010 10.1016/j.ijmecsci.2010.07.005 Earing predictions for strongly textured aluminum sheets

상세보기
Int. J. Plast. Yoon 27 1165 2011 10.1016/j.ijplas.2011.01.002 A new analytical theory for earing generated from anisotropic plasticity

상세보기
Int. J. Plast. Yoon 56 184 2014 10.1016/j.ijplas.2013.11.008 Asymmetric yield function based on the stress invariants for pressure sensitive metals

상세보기
Int. J. Plast. Yoshida 18 661 2002 10.1016/S0749-6419(01)00050-X A model of large-strain cyclic plasticity describing the Bauschinger effect and workhardening stagnation

상세보기
Int. J. Plast. Yoshida 18 633 2002 10.1016/S0749-6419(01)00049-3 Elastic-plastic behavior of steel sheets under in-plane cyclic tension-compression at large strain

상세보기
Int. J. Plast. Yoshida 45 119 2013 10.1016/j.ijplas.2013.01.010 A user-friendly 3D yield function to describe anisotropy of steel sheets

상세보기
Int. J. Plast. Yoshida 75 170 2015 10.1016/j.ijplas.2015.02.004 Modeling of anisotropic hardening of sheet metals including description of the Bauschinger effect

상세보기

LOADING...

활용도 분석정보

상세보기

다운로드

내보내기

활용도 Top5 논문

해당 논문의 주제분야에서 활용도가 높은 상위 5개 콘텐츠를 보여줍니다.
더보기 버튼을 클릭하시면 더 많은 관련자료를 살펴볼 수 있습니다.

표제어: PCR

동의어: Packet Collision Rate

용어 설명 출처 목록 (6)

용어 설명: PCR은 세균 특이성이 있는 primer를 이용하여 적은 수의 세균이 있을지라도 쉽게 검출할 수 있는 유용한 방법이며, 이를 이용하여 구강 내 치면세균막이나 타액에서 직접 세균을 검출할 수 있게 되었다[8].

내보내기 구분	파일저장 인쇄 메일전송
구성항목	기본정보 상세정보 관리번호, 논문명, 저널/프로시딩명, 저자 , 발행년, 권, 호, 시작페이지, 끝페이지, 발행기관 관리번호, 논문명, 대등논문명, 저자 , 저널/프로시딩명, 발행기관, 발행년, 발행언어, 권, 호, 시작페이지, 끝페이지, ISBN, ISSN, 주제분야, 키워드, 초록(한글), 초록(영문), 저자(소속기관)
저장형식	Text(ASCII format) Excel format RefWorks Direct Export RIS format (for Reference Manager, ProCite, EndNote), Scholar's Aids, Mendeley
메일정보	받는사람 (필수) @ 보내는사람 (선택) @ 제목 내용 KISTI 검색결과 이메일 서비스
안내	총 건의 자료가 검색되었습니다. 다운받으실 자료의 인덱스를 입력하세요. (1-10,000) 검색결과의 순서대로 최대 10,000건 까지 다운로드가 가능합니다. 데이타가 많을 경우 속도가 느려질 수 있습니다.(최대 2~3분 소요) 다운로드 파일은 UTF-8 형태로 저장됩니다. 파일의 내용이 제대로 보이지 않을실 때는 웹브라우저 상단의 보기 -> 인코딩 -> 자동선택 여부를 확인하십시오. ~ Text(ASCII format) Excel format

연합인증