Grain-scale deformation in a Mg−0.8 wt% Y alloy using crystal plasticity finite element method

Crystal Plasticity Simulation of Yield Loci Evolution of SUS304 Foil

“… represents the strain hardening strength of the slip system at a certain moment, that is, the slip resistance, and its hardening rate can be expressed as: where is the self-hardening modulus ( ) and latent hardening modulus ( ). The strain hardening law of the slip system, namely its hardening modulus, can be expressed by the following equation [ 24 ]: where, is the initial hardening modulus at yield, and is the saturated slip resistance. a is the hardening exponent, and in this paper, a = 2.25 is taken.…”

Heat-assisted incremental sheet forming for high-strength materials — a review

“…The studies by [100,101] have applied the Linux coding software DAMASK [102] to establish the auto-generated tessellation to perform microscopic RVE simulation to calculate the grain level orientation, texture and strain-stress behaviour. Based on DAMASK integrated spectral solvers, the calculations on single-crystal constitutive laws can be processed in user-friendly way with less computational time.…”

بررسی اثر شدت تکسچر بر رفتار تغییر شکل آلیاژ Mg-0.8wt%Y اکسترود شده تحت بارگذاری کشش و فشار با استفاده از روش المان محدود کریستال پلاستیسیته

“…x@ \w@Qt |m}D=tv}U \@=wQ R= xO=iDU= =@ xm CU= u; xD}U}DUqB p=DU}Qm T=U= R= [27] "OR=OQB@ wQm}t T=}kt QO l}DUqB Q=DiQ |v}@V}B x@ C= Rri QO sQi Q}}eD w OvQ}o|t pmW VvQm Q}Ut l} CLD \ki =y|} wrkwO 'ODi}@ j=iD= X=N `w[wt u}= [16w15] "OvDi=|tv j=iD= =y|} wrkwO 'VvQm Q}Ut u; Tma CyH QO |=yS=}r; QO |}=ywrkwO `wkw QO Ci=@ |= RH= x@ xHwD =@ = Q |Q=PoQ=@ CyH Q}F -=D T=}kt QO QFwt pt=wa u}@ \=@DQ= R= |i=m CN=vW u}=Q@=v@ "OyO|t u=Wv s} R}vt ? @U Ov=wD|t wQm=t T=}kt QO s} R}vt |m}v=mt C=}YwYN |wQ Q@ wQm}t |= Q@ "Ovm =O}B V}=Ri= Rri u}= R= xO=iDU= w OwW s} R}vt |m}v=mt X=wN Ow@y@ \}Lt l}v=mt \@=wQ Q@ |vD@t |}=yVwQ R= xO=iDU= OvtR=}v \=@DQ= u}= O=H}= '=y|}wrkwO 'VRer |=ysDU}U uwJty Q=DN=UwQm}t QF= Ov=wD@ xm s}DUy xDUw}B x@ Ov=wD|t |OQm}wQ u}vJ "Ovm ^=Lr = Q xv=O |xUOvy w Ci=@ 'xv=O |xR=Ov= |x@wv x@ xm OwW QHvt u; |=yS=}r; w s} R}vt QO pmW Q}}eD l} R}i QDy@ lQO QO "Ovm ltm O=wt u; R= xOW xDN=U |= RH= |L=Q] Ow@y@ x@ Ov=wD|t OwN pmW Q}}eD |=yQ=mwR=U lQO |= Q@ |D=@U=Lt |=yQ= R@= R= |NQ@ 'Q}N= |=yp=U l}DUqB wmU} w pt=W G}=Q |D=@U=Lt |=yQ= R@= "OvwW|t xO=iDU= HCP C= Rri VwQ w [18]10 (EPSC) Q=oR=U OwN l}DUqB wDUq= [17]9 '(VPSC) Q=oR=UOwN VPSC |=ypOt xJQo = "CU= 11 (CPFEM) xD}U}DUqB p=DU}Qm OwOLt u=tr= QO pmW Q}}eD u=}O= Qo w xv=O RQt QF= R= =t= 'OvDUy Ot;Q=m |D=@U=Lt Q_v R= EPSC w Q}}eD |xar=]t |= Q@ QD?U=vt |Q= R@= CPFEM [2017] "Ovvm|t Q_v hQY =yxv=O C=aq]= R= u=wD|t CPFEM VwQ QO [21] "CU= C= Rri QO xv=O T=}kt QO pmW QO |OwQw u=wvax@ Ci=@ =yxv=O |Q}oCyH u}vJty w |ak=w |xv=O |xUOvy CPFEM R= xOt; CUO x@ |R=Ux}@W G}=Dv 'u}= Q@=v@ "OQm xO=iDU= |R=Ux}@W |vLvt |va} |B wmUwQm =t K]U wO Qy QO |@ QHD G}=Dv =@ s}kDUt u=wD|t = Q xU}=kt =yxv=O pN=O QO pmW Q}}eD Q=DiQ |va} |B wmUwRt K]U w VvQm VvD [23w22] "OQm |=yuwtR; R= xO=iDU= =@ [24] 2010 p=U QO Yokoyama w Sukedai Xr=N s} R}vt |xr}t l} Q=Wi w VWm QO s}rUD uQ=kD sOa |UQQ@ x@ |@ QHD uQ=kD sOa OwHw Qou=}@ G}=Dv "OvDN=OQB Cw=iDt VvQm MQv wO QO xOW OwQDUm= p=U QO u= Q=mty w Sung Ow@ VvQm MQv wO Qy QO Q=Wi w VWm s}rUD w VWm s}rUD uQ=kD sOa |wQ Q@ = Q |WWm |} wrkwO C}r=ai QF= [25] 2014 G}=Dv "OvOQm |UQQ@ |iO=YD Ci=@ =@ xOW |QoxDN}Q s} R}vt S=}r; |= Q@ Q=Wi x@ Q=Wi x@ C@Uv VWm Cr=L QO QDtm s}rUD w QDq=@ |DNU VvQm Qou=}@ '2019 p=U QO "Ow@ VWm w Q=Wi u}L QO |WWm |} wrkwO hrDNt Q}F -=D p}rO p=DU}Qm VwQ R= xO=iDU= =@ = Q xv=O |xR=Ov= w Ci=@ Q}F -=D [26] u= Q=mty w Zhou xOt; CUO x@ G}=Dv j@] "OvOQm |UQQ@ AM30 s} R}vt S=}r; |wQ Q@ xD}U}DUqB |=ysDU}U |DNU Q=Okt u}@ xm CU= `HQt |DNU |=ypwOt h 'q=@ |x]@= Q QO (500 Mpa) |} wrkwO VRer |=ysDU}U w (1500 Mpa) VRer VRer [29] "CU= `=@W= VRer Ctw=kt Q=Okt ( ) sat u}vJty "CU= |Q=Wi w |WWm |=y|}wrkwO 'VRer |=ysDU}U Q@xwqa 1 pmW =@ j@=]t \@=wQ [31w30] `@=vt QO "OvwW|t ^=Lr = RHt VRer |xLiY l} CQwYx@ s=OmQy "CU= xOW u=}@ pt=m Qw]x@ |} wrkwO w VRer |=ysDU}U |= Q@ sm =L |oOvwWCNU CQwYx@ w CU= pmWQ}}eD |=ysDU}U s=tD |wQ Q@ xDW=@v= |WQ@ VvQm [28] "OwW|t h} QaD Q} R = X ( ) (10) l}DUqB pmW Q}}eD |=yQ=mwR=U R= l} Qy |@Uv C}r=ai u= R}t |x@U=Lt |= Q@ xO=iDU= |} wrkwO w VRer |=ysDU}U |= Q@ ? }DQDx@ 12 w 11 \@=wQ R= (RA ) [26] "OwW|t…”

“…Q[ xm |Dr=L Qou=}@ Qt= u}= xm CU= p=ai |} wrkwO sDU}U 'OW=@ C@Ft O}tW= ?} Q[ xm p=ai CQwYx@ |Q=PoQ=@ |=yCr=L R= |m} QO |} wrkwO |=ysDU}U xm CU= u; p=DU}Qm |x}rw= Ci=@ x@ |oDU@ Qt= u}= xm Ov=p=aiQ}e CQwYx@ |Qo}O QO w "OQ=O xO=iDU= T} w= Q@ Qr}t XN=W R= CyH u=}@ |= Q@ HCP |=ysDU}U QO [h; k; i; l] < uvtw > Ovv=t X=N pmW Q}}eD sDU}U l} |= Q@ "OwW|t [33] "OvwW|t x@U=Lt Q} R \@=wQ R= cos w cos `@=wD cos = h u 1 u 2 +v 1 v 2 1 2 (u 1 v 2 +u 2 v 1 )+ c "|t}R}vt p=DU}QmlD |xvwtv |wQ Q@ xOWp=ta= |RQt \}=QW "5 pmW p=DU}QmlDVWmu=wD@u;ltm=@=DCU=R=}v2CtUkQOxOWxQ=W=|xD}U}DUqB |R=Ux}@W u}= QO xDiQ Q=mx@ |oOvwWCNU |=yQDt= Q=B "OQm |R=Ux}@W Twm=@; QO = Q s} R}vt |= Q@ |v=UWm C=YNWt u}vJty [29] "Ov=xOW XNWt 2 pwOH =@ j@=]t [39] "CU= xOW x=Q= 3 pwOH QO C@=wF |QUm} CQwYx@ |UQQ@ w EL@ w G}=Dv "5 w x}=B C=LiY xm|wLvx@ CU= < 10 10 > Q@}=i Ci=@ 'uSwQDUm= Ov}=Qi `w[wt u}= xm CU= (ED) =@ |R=wt =yp=DU} Qm < 10 10 > |=y=DU= Q pmW |ovQ |xr}t =@ j@=]t [3836] "CU= xOy=Wt p@=k hr= 4 pmW QO R= TB f0001g w f10 10g C=LiY Ci=@ COW Qou=}@ xm hr= 4 19 x}=B |=y? ]k 'uSwQDUm= Ov}=Qi R= TB CiQo xH}Dv u=wD|t 'CU= uSwQDUm= |=y?…”