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Modélisation du comportement cyclique d'aciers à outils martensitiques

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(1)Modélisation du comportement cyclique d’aciers à outils martensitiques Vincent Velay, Gérard Bernhart, Luc Penazzi, Zhanping Zhang. To cite this version: Vincent Velay, Gérard Bernhart, Luc Penazzi, Zhanping Zhang. Modélisation du comportement cyclique d’aciers à outils martensitiques. MECAMAT -Ecole mécanique des matériaux, Jan 2002, Aussois, France. p.288-291. �hal-01798917�. HAL Id: hal-01798917 https://hal.archives-ouvertes.fr/hal-01798917 Submitted on 28 May 2018. HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés..

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(17) C+¿p ¶ @¸f< T'La Hù La»}ºIJK½mE‚T¸Ú ¼–ºI¼K¶fÂñTpFIÁIC1¿Ç¿ÇJKJK¶­¶­ÓÓ

(18)     jhj+uKs¢b7[f¨1uK^`s'vKl?[(„™_a[(n'uN|;uK^`sU†]u&bf[9y ¨N†_z„ ŽLaTpn'µÃu†j(· ^`sUg(C1stµh^{H?¦ JK< FIT¸?¶‚·<ˆÔ ¶ÈNIï–<ï é–]?Öz<‘^™[(ÁI_zÁÀ]@ uKïK^`sU†È ]Ó uKÈ n è–è©Ném†l7@ _z]uKn­¨ uK^`sU†]!stŠŽ? j=[hy [ < µhHI C(LaÑ T¸FIÚ7µ+Y ¿¸Tpµ C(ó0ÁIC1µ1¿pJKLa¶¶GIL‚Tp< µ+T'L™çKÚ ë· ]?¼m^™½I[(Cz_(ӄ Ñ H?¿pJKTpF‘׏Y ¼7µhHIJ}C FI½ ‘@ÅE‚OPJ}@¸La ¨N]u(†Ž©uK_ Ž^`sUnª†sUg‚][(uK]7uK^`vKncsU†st]0]‘gh[hjh†[(w ]N_z˜ ¨NstlB[(]7_aghv [(j ]0†gh]?[„{‰ŠuK†^™_z[(]s'_z¬†s{†uK]ghn၆j+u ]‘š <Wj(Ô ^{È st^tïK^`i?l7ð [h^`–ց†st(_(¤K@¦ [ n'uKu ]Xb j Ñ H?µ1JKÚ7׏µ+¼7¿¸Tpµhµ HIC Á‘¿Ç‘JK@á¶MOPLa@'Tp!< µ1T¸L™ Ú Ñ ¼KFIJKF‘¶GL‚½ T¸Laºmµ1LaÚ7T¸»Kµ+C ¿¸Tpµ C+¹;º?»mJ}T¸¶‚L‚µ1Tp¼–¼–ÁIF‘¿Ç¶àJ}¶GÂ9La¼–T4EÓ µ+Ô È T¸L™ï–Ú"ðKIï <Ö( <I]?Á‘^™ÁÀ[(_z@]ç uK ^`sU†]–è©uKçmn;@?†lm_z]uKnB­¨\€\n'u†j(^`sUg(st^{¦ <$#À< Ñ H?QXJKJK׏ºI¼7¿¸µh· HIT¸%C C+E*‘@ÅQROŒ@'@'<&<  Ê ö ¼–¼7º?½IJ}C+Tp¿p¿¸HITpFIJKYܶ ¼KÏ Â@¸<LaHIQXCÃJKµ1µ1¼–Ú7ºµ+¿¸Tpµ/Ï @E‚C1C1¶MLÓ ÁWÈ ¼–ð F‘¶‚J}C ¿p¿p¼ JK'Ú FI½‘< E‚J}l7La_aµhhHIŽ?C([‚LauKT¸FI] Y N†C1l7óW_zC+]µ1uKL‚nP¶°­¨¼–F ž[hÉ ghFIi‘µ+uK¼K]?FIsUC+gh¿w ‰(?j †nªs{b†j <)+*< È <®Ô È ï–ï‘È Ö(<IÁIÁ0@ È è È Ó È ç È @ Ï C+C+¿pF JKY–FIÂ{C1J}¶ LaT¸Y–ºIÏ C @'< T¸¶‚¼KÑL‚HI¼–C+·EG· Á¼–C EGL‚C+½À·ÄáJ}C+µ+F©TpC1L E‚¶ C1L J Ò ¼–LaC+ºmF;LaºITp¿¸C ¶

(19)     jhj+uKsu*gh†]?^{_GuKst]?^­[stŠŽ? j=[hy [ LaV TpYKð©ºIIÑ,C x*Ï € <p¼–éÔ ÈN¿pT¸ï–Y–ï–JK¼mº‘ð µ(ÖzL‚Ú7@¼–µ+ºI¿pT¸E ¹;ºI½IC(ÓÛC C+FI½I¿pJ º‘EaJKLaFIEaµ1J}CFII¶‚<T'LaTp¼KF ^9i [hÂ{J†j [Ó ö JKµ+¿¸E‚TpC1FIC+T¸-Á F fÊ T'@ LaÊ H@KJKC1L,FITp ¶G¼KH?LaJ}EG½†¼–âGÁITpT¸FIµ¶ ©H?ÚJKE‚>½‘C+@ ö FIT¸FI@'<.Y  'Ë  HI]?C+^­¼–[(EM_zڟ]¼KuK„ ^`+sU0®†]<ˆuKÔ È n ï N–灆–lmÖz_z<I]ÁIuKÁÀn,@­¨ç ©žéÓM[hç gh©i‘ê‘uK@ ]?sUghjžuK]bj g(sU[(]0gh[h+j / < Ê ¼KC1º?LJK½ITp¿¸C.H?JK¿p¶JÏ E‚C1@¸¶G1< LaJKöºIEa¼7J†½\LaTpC1¾¼K¿pFkTp¶‚J}C+LaFeT¸¼–»7FàTp¶G½‘µ+C.¼–ÁI¿U¿pÄ­C+JK¾ µ1¶GE‚L‚¼–Tpµ1ºIT¸LmT¸¶‚C¾ ¶‚JKµ1Y–Ú©C Ó Z\†ntnp+£+lB[ x [hy g‚uKuK^R‰Šl;jhj †spj QPTp¿'µ+nª»msp¿pj+T¸T¸¹;uKF*^`ºIsUQRC†I@'] 2< < <® Ô ù È T ï–Ï ©ð OÖ(@¼»–C1E‚¶‚T¸¼–F&ç 8 .‘< †^{sU<pghÔ [È ïKbˆð ‡ l7–Ö^{(st@ „ V0H?LaJKHIF‘C1YE‚· VXJK@ ¿Ï Ñ C1¿ÇÚ7JKµ+Y–¿¸TpF‘µDC+QŒ¶ ¿pÏ JK¶G@†L‚C1TpL µ1T¸ADL™Ú C1E‚ö FIHI¼7JK½IEGC+L ¿¸¿p>TpF‘@'YŠ<–¼Kޢ öFITpJ}¶G¼}EMÓÓ La^`s'C+vKF‘l?¶‚[T¸L‚<?Tp¶‚µ ¼–ù º‘La¶¢C1C+ÁI¿¸EG¶ C+I¶G3< ¶‚CK ]?@ ^™[(_z]uK^`sU†]uKn N†l7_z]uKnÀ­¨ˆ¨1uK„

(20) 0é  ‰ƒb7†lBg(spjhj [(ž[(]?^\bKl*uK^?[(y _zs{uKl 800. sim exp. 600. −2. dε/dt = 10. 400. −1. s. °. T = 500 C. Contrainte σ (MPa). 200. 0. −200. −400. −600. −800. −1000 −8. −6. −4. −2. 0 déformation ε. 2. 4. 6. 8. −3. x 10. 800. sim exp. 600. dε/dt = 10−2 s−1. 400. °. T = 500 C. Contrainte σ (MPa). 200. 0. −200. . −400. −600. −800. −1000 −0.01. −0.008. −0.006. −0.004. −0.002. 0 0.002 déformation ε. 0.004. 0.006. 0.008. 0.01. &. 1000. sim exp. dσ/dt = 100 MPa.s−1 °. T = 500 C. Contrainte σ (MPa). 500. 0. −500 0.01. 0.015. 0.02. 0.025 0.03 déformation ε. 0.035. 0.04. 0.045. . 950. sim exp.

(21) . dε/dt = 10−2 s−1. T = 500° C. Contrainte σMAX (MPa). 900. . 850. . 800. 0. 0.5. 1. 1.5 2 2.5 3 déformation plastique cumulée p. 3.5. 4. 4.5. .

(22)

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