A multi-scale constitutive model based gas pressure determination method for the grain size evolution of superplastic forming

This paper proposes an innovative multi-scale method for determining gas pressure parameters of superplastic forming, which is based on the quantitative relationship between the grain growth mechanism and fracture mechanism of Ti–6Al–4V alloy. The high-temperature tensile tests were conducted on the...

Full description

Saved in:
Bibliographic Details
Published in:International Journal of Lightweight Materials and Manufacture Vol. 7; no. 6; pp. 825 - 837
Main Authors: Yang, Junzhou, Zhang, Qianwen, Wang, Kuaishe, Wu, Jianjun, Hu, Ping
Format: Journal Article
Language:English
Published: Elsevier B.V 01-11-2024
KeAi Communications Co., Ltd
Subjects:
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Abstract This paper proposes an innovative multi-scale method for determining gas pressure parameters of superplastic forming, which is based on the quantitative relationship between the grain growth mechanism and fracture mechanism of Ti–6Al–4V alloy. The high-temperature tensile tests were conducted on the material at temperatures ranging from 700, 800, 840, 890, 920, and 950 °C, strain rates were selected as 10−2∼10−4/s. The grain size measurements were observed using electron back-scatter diffraction (EBSD). Particularly, the relation between grain size changes and fracture behaviour is specifically discovered using a physically-based dynamic material model (DMM), and the grain size thresholds for each forming limit are proposed. The physical fracture mechanism is named the “Grain growth based fracture (GGBF)” mechanism. Furthermore, an innovative method based on the GGBF mechanism is proposed to design the superplastic forming loading, and practical four-layer hollow structures experiments are applied to validate the fracture mechanism in superplastic forming. In total, A superplastic forming GGBF mechanism has been verified, and it is expected to be helpful for shape and property control in the forming process of complex structures.
AbstractList This paper proposes an innovative multi-scale method for determining gas pressure parameters of superplastic forming, which is based on the quantitative relationship between the grain growth mechanism and fracture mechanism of Ti–6Al–4V alloy. The high-temperature tensile tests were conducted on the material at temperatures ranging from 700, 800, 840, 890, 920, and 950 °C, strain rates were selected as 10−2∼10−4/s. The grain size measurements were observed using electron back-scatter diffraction (EBSD). Particularly, the relation between grain size changes and fracture behaviour is specifically discovered using a physically-based dynamic material model (DMM), and the grain size thresholds for each forming limit are proposed. The physical fracture mechanism is named the “Grain growth based fracture (GGBF)” mechanism. Furthermore, an innovative method based on the GGBF mechanism is proposed to design the superplastic forming loading, and practical four-layer hollow structures experiments are applied to validate the fracture mechanism in superplastic forming. In total, A superplastic forming GGBF mechanism has been verified, and it is expected to be helpful for shape and property control in the forming process of complex structures.
Author Yang, Junzhou
Hu, Ping
Wu, Jianjun
Wang, Kuaishe
Zhang, Qianwen
Author_xml – sequence: 1
  givenname: Junzhou
  orcidid: 0000-0002-3732-344X
  surname: Yang
  fullname: Yang, Junzhou
  organization: School of Metallurgy Engineering, Xi'an University of Architecture and Technology, Xi'an 710075, China
– sequence: 2
  givenname: Qianwen
  surname: Zhang
  fullname: Zhang, Qianwen
  organization: School of Mechanical Engineering, Northwestern Polytechnical University, Xi'an 710072, China
– sequence: 3
  givenname: Kuaishe
  surname: Wang
  fullname: Wang, Kuaishe
  email: wangkuaishe888@126.com
  organization: School of Metallurgy Engineering, Xi'an University of Architecture and Technology, Xi'an 710075, China
– sequence: 4
  givenname: Jianjun
  surname: Wu
  fullname: Wu, Jianjun
  email: wujj@nwpu.edu.cn
  organization: School of Mechanical Engineering, Northwestern Polytechnical University, Xi'an 710072, China
– sequence: 5
  givenname: Ping
  surname: Hu
  fullname: Hu, Ping
  email: huping1985@126.com
  organization: School of Metallurgy Engineering, Xi'an University of Architecture and Technology, Xi'an 710075, China
BookMark eNp9kcFq3DAQhkVJoWmaJ-hFL2B3LGtl-dBDCG0TCPSSnMVYGm9kbGuR5IUW-u7V7pbSU08zDP__MTP_e3a1hpUY-9hA3UCjPk21n-ZlqQUIWYOqAcQbdi12Wldagrz6p3_HblOaoCj0TmmlrtmvO75sc_ZVsjgTt2FN2ect-yPxJTia-YCJHN9j4odIKW2RuKNMcfErZh9WvlB-DY6PIfL8Snwf0a88-Z_E6Rjm7awJI0_bgeJhxsK3J3Hx7z-wtyPOiW7_1Bv28vXL8_1D9fT92-P93VNlBfSi0sJ2ClRrrevkALaxQzdQS7LFVgKh06dudMqJfhBK9x0igB0Ah67rtWtv2OOF6wJO5hD9gvGHCejNeRDi3mAse81kcHS6VWBtp4W0WvbYdFI6VKrddY1UhdVeWDaGlCKNf3kNmFMgZjLnQMwpEAPKlHcX1-eLi8qZR0_RJOtpteR8JJvLHv6__t_IAJl3
Cites_doi 10.1016/0022-5096(52)90003-3
10.1016/S0921-5093(00)01983-3
10.1016/S0749-6419(99)00031-5
10.1016/S1003-6326(23)66145-X
10.1007/s12289-021-01621-z
10.1007/s43452-021-00260-0
10.1016/j.ijplas.2021.102973
10.3390/cryst12020294
10.1016/j.msea.2021.141560
10.1016/j.actamat.2015.04.056
10.1016/j.mechmat.2009.10.004
10.1016/j.ijmecsci.2019.105178
10.1016/j.matlet.2023.135742
10.1016/S0022-3115(00)00378-0
10.1243/03093247V313187
10.1016/j.jallcom.2014.02.110
10.1016/0022-5096(52)90002-1
10.1016/j.jmatprotec.2021.117321
10.1016/S0924-0136(03)00472-2
10.1016/0001-6160(67)90211-8
10.1016/S0921-5093(01)01508-8
10.1016/j.ijmecsci.2020.105839
10.1016/j.jmatprotec.2021.117481
10.1016/S0924-0136(02)00311-4
10.1016/S0749-6419(00)00036-X
10.1016/S0924-0136(98)00135-6
ContentType Journal Article
Copyright 2024 The Authors
Copyright_xml – notice: 2024 The Authors
DBID 6I.
AAFTH
AAYXX
CITATION
DOA
DOI 10.1016/j.ijlmm.2024.06.002
DatabaseName ScienceDirect Open Access Titles
Elsevier:ScienceDirect:Open Access
CrossRef
Directory of Open Access Journals
DatabaseTitle CrossRef
DatabaseTitleList

Database_xml – sequence: 1
  dbid: DOA
  name: Directory of Open Access Journals
  url: http://www.doaj.org/
  sourceTypes: Open Website
DeliveryMethod fulltext_linktorsrc
EISSN 2588-8404
EndPage 837
ExternalDocumentID oai_doaj_org_article_afd8360cc7824c849a1744da66357146
10_1016_j_ijlmm_2024_06_002
S2588840424000532
GroupedDBID 0R~
6I.
AACTN
AAEDW
AAFTH
AALRI
AAXUO
ABMAC
ADBBV
ADVLN
AEXQZ
AFTJW
AITUG
ALMA_UNASSIGNED_HOLDINGS
AMRAJ
BCNDV
EBS
EJD
FDB
GROUPED_DOAJ
M41
NCXOZ
OK1
ROL
SSZ
AAYXX
CITATION
ID FETCH-LOGICAL-c2092-82c76063ccd74b0c1cb7be3e43a340ead843a3fd6d29b26897aa00cb0ab7798d3
IEDL.DBID DOA
ISSN 2588-8404
IngestDate Mon Oct 28 19:37:11 EDT 2024
Fri Nov 22 01:35:21 EST 2024
Sat Oct 26 15:42:35 EDT 2024
IsDoiOpenAccess true
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 6
Keywords Grain size
Forming process
Superplastic forming
Ti–6Al–4V
Language English
License This is an open access article under the CC BY-NC-ND license.
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c2092-82c76063ccd74b0c1cb7be3e43a340ead843a3fd6d29b26897aa00cb0ab7798d3
ORCID 0000-0002-3732-344X
OpenAccessLink https://doaj.org/article/afd8360cc7824c849a1744da66357146
PageCount 13
ParticipantIDs doaj_primary_oai_doaj_org_article_afd8360cc7824c849a1744da66357146
crossref_primary_10_1016_j_ijlmm_2024_06_002
elsevier_sciencedirect_doi_10_1016_j_ijlmm_2024_06_002
PublicationCentury 2000
PublicationDate November 2024
2024-11-00
2024-11-01
PublicationDateYYYYMMDD 2024-11-01
PublicationDate_xml – month: 11
  year: 2024
  text: November 2024
PublicationDecade 2020
PublicationTitle International Journal of Lightweight Materials and Manufacture
PublicationYear 2024
Publisher Elsevier B.V
KeAi Communications Co., Ltd
Publisher_xml – name: Elsevier B.V
– name: KeAi Communications Co., Ltd
References Yang, Wang, Wu, Zhang, Zhao, Hu (bib26) 2024; 357
Luo, Li, Li, Shi (bib19) 2010; 42
Yang, Wu, Xie, Li, Wang (bib27) 2023; 33
Lin, Cheong, Yao (bib13) 2002; 125–126
Lin, Liu (bib15) 2003; 143–144
Guglielmi, Sorgente, Lombardi, Palumbo (bib2) 2020; 184
Du, Zhang (bib28) 2021; 14
Han, Yang, Li, Wu (bib18) 2022; 12
Wu, Wu, Ma, Xiao, Zheng, Chen (bib24) 2021; 21
Kröhn, Leen, Hyde (bib9) 2007; 221
Stoller, Zinkle (bib20) 2000; 283–287
Yang, Wu, Yang, Wang, Wang, Zhang, Wang, Muzamil (bib16) 2020; 142
Wu, Fan, Chen, Wang, Zhao, Xiao (bib3) 2021; 820
Hill (bib7) 1952; 1
Zhang, Wang, Li, Chen, Yang, Wang, Clare (bib1) 2022; 299
Khaleel, Zbib, Nyberg (bib17) 2001; 17
Zhang, Shi, Yardley, Lin (bib6) 2022; 302
Dunne, Kim (bib23) 1998; 80–81
Alabort, Putman, Reed (bib10) 2015; 95
Gao, Yang, Fan, Zhu (bib21) 2014; 600
Swift (bib8) 1952; 1
Zhou, Dunne (bib25) 1996; 31
Yasmeen, Shao, Zhao, Gao, Lin, Jiang (bib12) 2019; 164
Hart (bib4) 1967; 15
Chung, Cheng (bib5) 2001; 308
Lin, Yang (bib14) 1999; 15
Picu, Majorell (bib22) 2002; 326
Sun, Li, Zhan, Zhou, Zhang, Gao (bib11) 2021; 140
Chung (10.1016/j.ijlmm.2024.06.002_bib5) 2001; 308
Swift (10.1016/j.ijlmm.2024.06.002_bib8) 1952; 1
Dunne (10.1016/j.ijlmm.2024.06.002_bib23) 1998; 80–81
Gao (10.1016/j.ijlmm.2024.06.002_bib21) 2014; 600
Zhang (10.1016/j.ijlmm.2024.06.002_bib6) 2022; 302
Hill (10.1016/j.ijlmm.2024.06.002_bib7) 1952; 1
Wu (10.1016/j.ijlmm.2024.06.002_bib24) 2021; 21
Alabort (10.1016/j.ijlmm.2024.06.002_bib10) 2015; 95
Zhang (10.1016/j.ijlmm.2024.06.002_bib1) 2022; 299
Hart (10.1016/j.ijlmm.2024.06.002_bib4) 1967; 15
Han (10.1016/j.ijlmm.2024.06.002_bib18) 2022; 12
Yang (10.1016/j.ijlmm.2024.06.002_bib27) 2023; 33
Guglielmi (10.1016/j.ijlmm.2024.06.002_bib2) 2020; 184
Yasmeen (10.1016/j.ijlmm.2024.06.002_bib12) 2019; 164
Sun (10.1016/j.ijlmm.2024.06.002_bib11) 2021; 140
Kröhn (10.1016/j.ijlmm.2024.06.002_bib9) 2007; 221
Du (10.1016/j.ijlmm.2024.06.002_bib28) 2021; 14
Luo (10.1016/j.ijlmm.2024.06.002_bib19) 2010; 42
Picu (10.1016/j.ijlmm.2024.06.002_bib22) 2002; 326
Stoller (10.1016/j.ijlmm.2024.06.002_bib20) 2000; 283–287
Lin (10.1016/j.ijlmm.2024.06.002_bib14) 1999; 15
Wu (10.1016/j.ijlmm.2024.06.002_bib3) 2021; 820
Lin (10.1016/j.ijlmm.2024.06.002_bib13) 2002; 125–126
Zhou (10.1016/j.ijlmm.2024.06.002_bib25) 1996; 31
Khaleel (10.1016/j.ijlmm.2024.06.002_bib17) 2001; 17
Yang (10.1016/j.ijlmm.2024.06.002_bib16) 2020; 142
Lin (10.1016/j.ijlmm.2024.06.002_bib15) 2003; 143–144
Yang (10.1016/j.ijlmm.2024.06.002_bib26) 2024; 357
References_xml – volume: 164
  year: 2019
  ident: bib12
  article-title: Constitutive modeling for the simulation of the superplastic forming of TA15 titanium alloy
  publication-title: Int. J. Mech. Sci.
  contributor:
    fullname: Jiang
– volume: 33
  start-page: 777
  year: 2023
  end-page: 788
  ident: bib27
  article-title: Mechanism of continuous dynamic recrystallization of the Ti-6Al-4V alloy during the superplastic deformation with sub-grain rotation
  publication-title: Trans. Nonferrous Metals Soc. China
  contributor:
    fullname: Wang
– volume: 184
  year: 2020
  ident: bib2
  article-title: A new experimental approach for modelling the constitutive behaviour of sheet metals at elevated temperature through interrupted bulge tests
  publication-title: Int. J. Mech. Sci.
  contributor:
    fullname: Palumbo
– volume: 31
  start-page: 187
  year: 1996
  end-page: 196
  ident: bib25
  article-title: Mechanisms-based constitutive equations for the superplastic behaviour of a titanium alloy
  publication-title: J. Strain Anal. Eng. Des.
  contributor:
    fullname: Dunne
– volume: 302
  year: 2022
  ident: bib6
  article-title: Experimental studies of necking and fracture limits of boron steel sheet under hot stamping conditions
  publication-title: J. Mater. Process. Technol.
  contributor:
    fullname: Lin
– volume: 308
  start-page: 153
  year: 2001
  end-page: 160
  ident: bib5
  article-title: The analysis of instability and strain concentration during superplastic deformation
  publication-title: Mater. Sci. Eng. A.
  contributor:
    fullname: Cheng
– volume: 125–126
  start-page: 199
  year: 2002
  end-page: 205
  ident: bib13
  article-title: Universal multi-objective function for optimising superplastic-damage constitutive equations
  publication-title: J. Mater. Process. Technol.
  contributor:
    fullname: Yao
– volume: 80–81
  start-page: 96
  year: 1998
  end-page: 100
  ident: bib23
  article-title: Modelling heterogeneous microstructures, inhomogeneous deformation and failure in superplasticity
  publication-title: J. Mater. Process. Technol.
  contributor:
    fullname: Kim
– volume: 143–144
  start-page: 281
  year: 2003
  end-page: 285
  ident: bib15
  article-title: A set of unified constitutive equations for modelling microstructure evolution in hot deformation
  publication-title: J. Mater. Process. Technol.
  contributor:
    fullname: Liu
– volume: 42
  start-page: 157
  year: 2010
  end-page: 165
  ident: bib19
  article-title: Constitutive model for high temperature deformation of titanium alloys using internal state variables
  publication-title: Mech. Mater.
  contributor:
    fullname: Shi
– volume: 1
  start-page: 19
  year: 1952
  end-page: 30
  ident: bib7
  article-title: On discontinuous plastic states, with special reference to localized necking in thin sheets
  publication-title: J. Mech. Phys. Solids.
  contributor:
    fullname: Hill
– volume: 14
  start-page: 1057
  year: 2021
  end-page: 1066
  ident: bib28
  article-title: The superplastic forming/diffusion bonding and mechanical property of TA15 alloy for four-layer hollow structure with squad grid
  publication-title: Int. J. Material Form.
  contributor:
    fullname: Zhang
– volume: 142
  start-page: 1
  year: 2020
  end-page: 13
  ident: bib16
  article-title: A modified constitutive model with grain rotation for superplastic forming of Ti-6Al-4V alloy
  publication-title: J. Eng. Mater. Technol. Trans. ASME.
  contributor:
    fullname: Muzamil
– volume: 357
  year: 2024
  ident: bib26
  article-title: Effect of misorientation evolution on the fracture mechanism
  publication-title: Mater. Lett.
  contributor:
    fullname: Hu
– volume: 95
  start-page: 428
  year: 2015
  end-page: 442
  ident: bib10
  article-title: Superplasticity in Ti-6Al-4V: characterisation, modelling and applications
  publication-title: Acta Mater.
  contributor:
    fullname: Reed
– volume: 1
  start-page: 1
  year: 1952
  end-page: 18
  ident: bib8
  article-title: Plastic instability under plane stress
  publication-title: J. Mech. Phys. Solids.
  contributor:
    fullname: Swift
– volume: 140
  year: 2021
  ident: bib11
  article-title: Cross-scale prediction from RVE to component
  publication-title: Int. J. Plast.
  contributor:
    fullname: Gao
– volume: 17
  start-page: 277
  year: 2001
  end-page: 296
  ident: bib17
  article-title: Constitutive modeling of deformation and damage in superplastic materials
  publication-title: Int. J. Plast.
  contributor:
    fullname: Nyberg
– volume: 12
  start-page: 294
  year: 2022
  ident: bib18
  article-title: Investigation of the flow behavior of air-cooling Ti-6Al-4V alloy after superplastic forming
  publication-title: Crystals
  contributor:
    fullname: Wu
– volume: 326
  start-page: 306
  year: 2002
  end-page: 316
  ident: bib22
  article-title: Mechanical behavior of Ti-6Al-4V at high and moderate temperatures-Part II: constitutive modeling
  publication-title: Mater. Sci. Eng. A.
  contributor:
    fullname: Majorell
– volume: 21
  start-page: 1
  year: 2021
  end-page: 17
  ident: bib24
  article-title: A physically based constitutive model of Ti-6Al-4 V and application in the SPF/DB process for a pyramid lattice sandwich panel
  publication-title: Arch. Civ. Mech. Eng.
  contributor:
    fullname: Chen
– volume: 15
  start-page: 1181
  year: 1999
  end-page: 1196
  ident: bib14
  article-title: GA-based multiple objective optimization for determining viscoplastic constitutive equations for superplastic alloys
  publication-title: Int. J. Plast.
  contributor:
    fullname: Yang
– volume: 299
  year: 2022
  ident: bib1
  article-title: Composition fine-tuning for directed energy deposition of Ti-6Al-4V
  publication-title: J. Mater. Process. Technol.
  contributor:
    fullname: Clare
– volume: 221
  start-page: 251
  year: 2007
  end-page: 264
  ident: bib9
  article-title: A superplastic forming limit diagram concept for Ti-6Al-4V
  publication-title: Proc. Inst. Mech. Eng. Part L J. Mater. Des. Appl.
  contributor:
    fullname: Hyde
– volume: 600
  start-page: 78
  year: 2014
  end-page: 83
  ident: bib21
  article-title: Unified modeling of flow softening and globularization for hot working of two-phase titanium alloy with a lamellar colony microstructure
  publication-title: J. Alloys Compd.
  contributor:
    fullname: Zhu
– volume: 15
  start-page: 351
  year: 1967
  end-page: 355
  ident: bib4
  article-title: Theory of the tensile test
  publication-title: Acta Metall.
  contributor:
    fullname: Hart
– volume: 283–287
  start-page: 349
  year: 2000
  end-page: 352
  ident: bib20
  article-title: On the relationship between uniaxial yield strength and resolved shear stress in polycrystalline materials
  publication-title: J. Nucl. Mater.
  contributor:
    fullname: Zinkle
– volume: 820
  year: 2021
  ident: bib3
  article-title: High-temperature anisotropic behaviors and microstructure evolution mechanisms of a near-α Ti-alloy sheet
  publication-title: Mater. Sci. Eng. A.
  contributor:
    fullname: Xiao
– volume: 1
  start-page: 19
  year: 1952
  ident: 10.1016/j.ijlmm.2024.06.002_bib7
  article-title: On discontinuous plastic states, with special reference to localized necking in thin sheets
  publication-title: J. Mech. Phys. Solids.
  doi: 10.1016/0022-5096(52)90003-3
  contributor:
    fullname: Hill
– volume: 308
  start-page: 153
  year: 2001
  ident: 10.1016/j.ijlmm.2024.06.002_bib5
  article-title: The analysis of instability and strain concentration during superplastic deformation
  publication-title: Mater. Sci. Eng. A.
  doi: 10.1016/S0921-5093(00)01983-3
  contributor:
    fullname: Chung
– volume: 15
  start-page: 1181
  year: 1999
  ident: 10.1016/j.ijlmm.2024.06.002_bib14
  article-title: GA-based multiple objective optimization for determining viscoplastic constitutive equations for superplastic alloys
  publication-title: Int. J. Plast.
  doi: 10.1016/S0749-6419(99)00031-5
  contributor:
    fullname: Lin
– volume: 33
  start-page: 777
  issue: 3
  year: 2023
  ident: 10.1016/j.ijlmm.2024.06.002_bib27
  article-title: Mechanism of continuous dynamic recrystallization of the Ti-6Al-4V alloy during the superplastic deformation with sub-grain rotation
  publication-title: Trans. Nonferrous Metals Soc. China
  doi: 10.1016/S1003-6326(23)66145-X
  contributor:
    fullname: Yang
– volume: 14
  start-page: 1057
  year: 2021
  ident: 10.1016/j.ijlmm.2024.06.002_bib28
  article-title: The superplastic forming/diffusion bonding and mechanical property of TA15 alloy for four-layer hollow structure with squad grid
  publication-title: Int. J. Material Form.
  doi: 10.1007/s12289-021-01621-z
  contributor:
    fullname: Du
– volume: 21
  start-page: 1
  year: 2021
  ident: 10.1016/j.ijlmm.2024.06.002_bib24
  article-title: A physically based constitutive model of Ti-6Al-4 V and application in the SPF/DB process for a pyramid lattice sandwich panel
  publication-title: Arch. Civ. Mech. Eng.
  doi: 10.1007/s43452-021-00260-0
  contributor:
    fullname: Wu
– volume: 140
  year: 2021
  ident: 10.1016/j.ijlmm.2024.06.002_bib11
  article-title: Cross-scale prediction from RVE to component
  publication-title: Int. J. Plast.
  doi: 10.1016/j.ijplas.2021.102973
  contributor:
    fullname: Sun
– volume: 12
  start-page: 294
  year: 2022
  ident: 10.1016/j.ijlmm.2024.06.002_bib18
  article-title: Investigation of the flow behavior of air-cooling Ti-6Al-4V alloy after superplastic forming
  publication-title: Crystals
  doi: 10.3390/cryst12020294
  contributor:
    fullname: Han
– volume: 820
  year: 2021
  ident: 10.1016/j.ijlmm.2024.06.002_bib3
  article-title: High-temperature anisotropic behaviors and microstructure evolution mechanisms of a near-α Ti-alloy sheet
  publication-title: Mater. Sci. Eng. A.
  doi: 10.1016/j.msea.2021.141560
  contributor:
    fullname: Wu
– volume: 95
  start-page: 428
  year: 2015
  ident: 10.1016/j.ijlmm.2024.06.002_bib10
  article-title: Superplasticity in Ti-6Al-4V: characterisation, modelling and applications
  publication-title: Acta Mater.
  doi: 10.1016/j.actamat.2015.04.056
  contributor:
    fullname: Alabort
– volume: 42
  start-page: 157
  year: 2010
  ident: 10.1016/j.ijlmm.2024.06.002_bib19
  article-title: Constitutive model for high temperature deformation of titanium alloys using internal state variables
  publication-title: Mech. Mater.
  doi: 10.1016/j.mechmat.2009.10.004
  contributor:
    fullname: Luo
– volume: 164
  year: 2019
  ident: 10.1016/j.ijlmm.2024.06.002_bib12
  article-title: Constitutive modeling for the simulation of the superplastic forming of TA15 titanium alloy
  publication-title: Int. J. Mech. Sci.
  doi: 10.1016/j.ijmecsci.2019.105178
  contributor:
    fullname: Yasmeen
– volume: 357
  year: 2024
  ident: 10.1016/j.ijlmm.2024.06.002_bib26
  article-title: Effect of misorientation evolution on the fracture mechanism
  publication-title: Mater. Lett.
  doi: 10.1016/j.matlet.2023.135742
  contributor:
    fullname: Yang
– volume: 283–287
  start-page: 349
  year: 2000
  ident: 10.1016/j.ijlmm.2024.06.002_bib20
  article-title: On the relationship between uniaxial yield strength and resolved shear stress in polycrystalline materials
  publication-title: J. Nucl. Mater.
  doi: 10.1016/S0022-3115(00)00378-0
  contributor:
    fullname: Stoller
– volume: 31
  start-page: 187
  year: 1996
  ident: 10.1016/j.ijlmm.2024.06.002_bib25
  article-title: Mechanisms-based constitutive equations for the superplastic behaviour of a titanium alloy
  publication-title: J. Strain Anal. Eng. Des.
  doi: 10.1243/03093247V313187
  contributor:
    fullname: Zhou
– volume: 600
  start-page: 78
  year: 2014
  ident: 10.1016/j.ijlmm.2024.06.002_bib21
  article-title: Unified modeling of flow softening and globularization for hot working of two-phase titanium alloy with a lamellar colony microstructure
  publication-title: J. Alloys Compd.
  doi: 10.1016/j.jallcom.2014.02.110
  contributor:
    fullname: Gao
– volume: 1
  start-page: 1
  year: 1952
  ident: 10.1016/j.ijlmm.2024.06.002_bib8
  article-title: Plastic instability under plane stress
  publication-title: J. Mech. Phys. Solids.
  doi: 10.1016/0022-5096(52)90002-1
  contributor:
    fullname: Swift
– volume: 299
  year: 2022
  ident: 10.1016/j.ijlmm.2024.06.002_bib1
  article-title: Composition fine-tuning for directed energy deposition of Ti-6Al-4V
  publication-title: J. Mater. Process. Technol.
  doi: 10.1016/j.jmatprotec.2021.117321
  contributor:
    fullname: Zhang
– volume: 143–144
  start-page: 281
  year: 2003
  ident: 10.1016/j.ijlmm.2024.06.002_bib15
  article-title: A set of unified constitutive equations for modelling microstructure evolution in hot deformation
  publication-title: J. Mater. Process. Technol.
  doi: 10.1016/S0924-0136(03)00472-2
  contributor:
    fullname: Lin
– volume: 15
  start-page: 351
  year: 1967
  ident: 10.1016/j.ijlmm.2024.06.002_bib4
  article-title: Theory of the tensile test
  publication-title: Acta Metall.
  doi: 10.1016/0001-6160(67)90211-8
  contributor:
    fullname: Hart
– volume: 221
  start-page: 251
  year: 2007
  ident: 10.1016/j.ijlmm.2024.06.002_bib9
  article-title: A superplastic forming limit diagram concept for Ti-6Al-4V
  publication-title: Proc. Inst. Mech. Eng. Part L J. Mater. Des. Appl.
  contributor:
    fullname: Kröhn
– volume: 326
  start-page: 306
  year: 2002
  ident: 10.1016/j.ijlmm.2024.06.002_bib22
  article-title: Mechanical behavior of Ti-6Al-4V at high and moderate temperatures-Part II: constitutive modeling
  publication-title: Mater. Sci. Eng. A.
  doi: 10.1016/S0921-5093(01)01508-8
  contributor:
    fullname: Picu
– volume: 184
  year: 2020
  ident: 10.1016/j.ijlmm.2024.06.002_bib2
  article-title: A new experimental approach for modelling the constitutive behaviour of sheet metals at elevated temperature through interrupted bulge tests
  publication-title: Int. J. Mech. Sci.
  doi: 10.1016/j.ijmecsci.2020.105839
  contributor:
    fullname: Guglielmi
– volume: 302
  year: 2022
  ident: 10.1016/j.ijlmm.2024.06.002_bib6
  article-title: Experimental studies of necking and fracture limits of boron steel sheet under hot stamping conditions
  publication-title: J. Mater. Process. Technol.
  doi: 10.1016/j.jmatprotec.2021.117481
  contributor:
    fullname: Zhang
– volume: 125–126
  start-page: 199
  year: 2002
  ident: 10.1016/j.ijlmm.2024.06.002_bib13
  article-title: Universal multi-objective function for optimising superplastic-damage constitutive equations
  publication-title: J. Mater. Process. Technol.
  doi: 10.1016/S0924-0136(02)00311-4
  contributor:
    fullname: Lin
– volume: 142
  start-page: 1
  year: 2020
  ident: 10.1016/j.ijlmm.2024.06.002_bib16
  article-title: A modified constitutive model with grain rotation for superplastic forming of Ti-6Al-4V alloy
  publication-title: J. Eng. Mater. Technol. Trans. ASME.
  contributor:
    fullname: Yang
– volume: 17
  start-page: 277
  year: 2001
  ident: 10.1016/j.ijlmm.2024.06.002_bib17
  article-title: Constitutive modeling of deformation and damage in superplastic materials
  publication-title: Int. J. Plast.
  doi: 10.1016/S0749-6419(00)00036-X
  contributor:
    fullname: Khaleel
– volume: 80–81
  start-page: 96
  year: 1998
  ident: 10.1016/j.ijlmm.2024.06.002_bib23
  article-title: Modelling heterogeneous microstructures, inhomogeneous deformation and failure in superplasticity
  publication-title: J. Mater. Process. Technol.
  doi: 10.1016/S0924-0136(98)00135-6
  contributor:
    fullname: Dunne
SSID ssj0002856866
Score 2.3239741
Snippet This paper proposes an innovative multi-scale method for determining gas pressure parameters of superplastic forming, which is based on the quantitative...
SourceID doaj
crossref
elsevier
SourceType Open Website
Aggregation Database
Publisher
StartPage 825
SubjectTerms Forming process
Grain size
Superplastic forming
Ti–6Al–4V
Title A multi-scale constitutive model based gas pressure determination method for the grain size evolution of superplastic forming
URI https://dx.doi.org/10.1016/j.ijlmm.2024.06.002
https://doaj.org/article/afd8360cc7824c849a1744da66357146
Volume 7
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://sdu.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV07T8MwELagEwsCAaK8dAMjEant2M5YoFUnFkBii_xK1QraqiEMSPx3zk5SdYKFLYr8iL5z_N3Z9yDk2hrj1MD7hNmBSnjGeIJaSJlog-aQsIzKeGM6eZKPr-phFNLkbEp9BZ-wJj1wA9ytLl2IM7AWqYxbxXONOjR3OjClxN887r6p2DKm5vHIKBNKiC7NUHToms3f3kPsOeUxY2d7kNJRUczYv8VIWywzPiD7rXoIw-azDsmOXxyR7yFEv7-kQkA92GV7wY8bFcRKNhC4yMFUVxD9Wuu1B9f5uQTkoSkUDaihAmp8MA2FIaCafXnwn-3ig2UJVb3y6xUq1Dh9aIz9p8fkZTx6vp8kbdmExNI0x_2NWolmCbPWSW5SO7BGGs88Z5rxFFeOCk-lE47mhgqVS63T1JpUGylz5dgJ6S2WC39KAI055lyWGuoQaqQum2lXaqME49hJ9clNh2CxarJjFJ3b2LyIgBcB8CI6z9E-uQsob5qG1NbxBQq8aAVe_CXwPhGdjIpWS2jYH4ea_Tb72X_Mfk72wpBNNOIF6X2sa39JditXX8UV-APK1eGq
link.rule.ids 315,782,786,866,2106,27933,27934
linkProvider Directory of Open Access Journals
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=A+multi-scale+constitutive+model+based+gas+pressure+determination+method+for+the+grain+size+evolution+of+superplastic+forming&rft.jtitle=International+Journal+of+Lightweight+Materials+and+Manufacture&rft.au=Yang%2C+Junzhou&rft.au=Zhang%2C+Qianwen&rft.au=Wang%2C+Kuaishe&rft.au=Wu%2C+Jianjun&rft.date=2024-11-01&rft.pub=Elsevier+B.V&rft.issn=2588-8404&rft.eissn=2588-8404&rft.volume=7&rft.issue=6&rft.spage=825&rft.epage=837&rft_id=info:doi/10.1016%2Fj.ijlmm.2024.06.002&rft.externalDocID=S2588840424000532
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2588-8404&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2588-8404&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2588-8404&client=summon