THESE Présentée en vue de l’obtention du diplôme de DOCTORAT Option : STRUCTURE

THESE Présentée en vue de l’obtention du diplôme de DOCTORAT Option : STRUCTURE Par Mme OTMANI Nadia née BENMEHIDI Directeur de Thèse: GUENFOUD Mohamed Professeur Univ. Guelma Devant le jury : Président: HABITA Mmed Faouzi Professeur Univ. Annaba Examinateurs: FRANSSEN Jean Marc Professeur Univ. Liège Bèlgique CHIKH Nacereddine Professeur Univ. Constantine HADIDANE Yazid Maître de Conf. Univ. Annaba ARABI Noureddine Maître de Conf. Univ. Annaba UNIVERSITE BADJI MOKHTAR BADJI MOKHTAR UNIVERSITY   ر-   -  وزارة ا  ا  وا ا Faculté des Sciences de l’ingénieur Département de Génie Civil Année 2010 MODELISATION MULTIPHYSIQUE DU COMPORTEMENT AU FEU DES COLONNES EN ACIER ET EN BETON ARME 2 ِ  ِ ٱ َـٰ ۡ ِ ٱ ِ ٱ ِۡ  َء  ُ ا ٔ  َة ُ"ۡر # ُ َ ُۡ َ ر ِ َٲه ِۡ ٓ إ َ َۡ َا َۡ ء َ! َ ۞ و َ ِ ِ َـٰ$ ِۦ % ِ'   ُ َآ ُ و َ*ۡ) ِ + ۥ , ( ١٥ ) ُۡ َ32 ٓ أ ِ5 2 ُ ٱ ِ) َ 6  ِ ٱ2 ِ َـٰ7 َ ه ِۦ , ِ' َ8ۡ, َ+ ِ و ِ' َ ِ9 َ  َ ل ِذۡ + إ َـٰ َ % َ<  َ ُ8ن ِ> ? ( ٢٥ ) َ ِA ِ َـٰ* َ % َ< َ  َ3 ٓء َ َا ٓ ء َ َۡ3 َB ْ و ُ8ا َ  + ( ٣٥ ) ٍ۟ ِ G* ٍ۟ , َـٰ) َ$ ِ5 H ُۡ I ُJ ٓؤ َ َا َء ُۡ و َ32 ُۡ أ ُ 2 َۡ آ َ! َ  َ ل + ( ٤٥ ) َ َ ِMۡ2 َB ْ أ ٓا ُ8 َ  + َ ِ ِ* ـٰN َ ٱ$ ِ َ , َ3O َمۡ أ Q أ َR ِﭑۡS  ( ٥٥ ) َـٰ  G ٱ َب ُۡ ر G?  َ) ر َ  َ ل + َ Q ُ , ِ? َٲ َ5ٰ ذ َ$ َ ۟ % َ3 َأ  و ُ َه َ َV ِى I 7 ِ ٱ َرۡض َٱۡ9 ِ و َٲت 8 َ ِA ِ ـٰ< ٱZ ( ٦٥ ) َ ِA ِ ُۡ ْ , G8ا َ ُ8 َن َ أ َNۡ ُ  َ? َـٰ َ\ۡ  أ َن ِ َJ َ9 ِ  ' َﭑ$ َ و ( ٧٥ ) ِ َۡ' ِ ُۡ إ < َ$ َN ُۡ  < ً۟ا  ِ َ*  J ِ ًا إ َٲذ ُ7 ُۡ B َ< َ$ َN َ_ I َ ُ8ن ِN َۡB A ( ٨٥ ) ُ ' ِ3 ٓ إ َ ِ َ2 ِ< َ  ٔ ِـ َا  َـٰ7 َ ه َ) َN َ I ْ , ُ8ا َ  + َ ِ ِ ـٰ$ َ ٱb ِ َ ۥ  ( ٩٥ ) ُ َ' ُ  َ ل ُ! ُۡ A ُه ُ َ7ۡآ ً۟5 A َ2 َ I ِNۡ َ ْ d ُ8ا َ  + ۥۤ ُ ِ َٲه ِۡ إ ( ٠٦ ) َ ُون َ َZۡ< ُۡ A < َ$ َN ِ   س ِ ٱ ُ َ%ۡ َ5ٰٓ أ َ$ ِۦ % ِ' ْ  ُ8ا َ9ۡ ْ I ُ8ا َ  + ( ١٦ ) َ َأ ْ ء ٓا ُ8 َ  + َ ِ َ2 ِ< َ  ٔ ِـ َا  َـٰ7 َ ه َ$ۡO َN َ I 3O ُ ِ َٲه ِۡ َـٰٓh A ( ٢٦ ) ُ َ' َ$ َN َ)ۡ I َ  َ ل + َ ُ8ن ِ! َ V ْ A ُ8ا َ 3 ِن J ُۡ إ ُ8ه َ$ ٔ َۡـ َا I َـٰ7 ُۡ ه ُه ِ َ* ۥ J ( ٣٦ ) ْ ٓا ُ8 َ  َ! ِۡ I ِ< ُ َ3> َ5ٰٓ أ ِ ْ إ ٓا ُ8 َN َB َ I َ ُ8ن ِ ـٰ$ ُ ٱb ُ َ32 ُۡ أ ? ِ3 إ ( ٤٦ ) َ َ$ ْ % ُ8ا ِ ُ?  3 ُ 6 َ ُ8ن ِ! َ V ِ A ٓء َ ُ َـٰٓi َ ه َ , ِۡO َ$ َۡ % َ! ِۡ  ِ< ُوd ُء 5ٰ ر ( ٥٦ ) ِ َ , ُون ُ َNۡ* َ2 َI َ أ َ ل + ُۡ Gآ ُ َj َ A َ ً۟ و ٔ َۡـ ُۡ  ُk َN َ > َ A َ  ِ , ' ِ ٱ$ ُون د ( ٦٦ ) ِ ' ِ ٱ$ ُون ِ د َ , ُون ُ َNۡ* َ ِ َ ُۡ و ? m۟  ُف أ َ ُ8ن ِ$ َNۡ! َ َ$ َI ۖ أ ( ٧٦ ) ْ ُ"ا َ % & َ' ( َ ِ) ِ َـٰ ُۡ - ُ  ِن . ُۡ إ َ1 َ ِ2 َا ْ ء ٓا ُو ُ' َٱ 4 ُ و ُ"6 % ( ٨٦ ) َ ِ َٲه ِ ۡ' َ=ٰٓ إ َ ً  َـٰ َ َ# ً۟ا و َ'ۡد ِ= ُ" ُ آ َر َـٰ َ B ُۡ % ( ٩٦ ) ْ ُوا َاد َر َأ و َ ِA َ َpۡ ُ ٱۡ9 ُ َـٰ< َ$ۡ َN َ_ ً۟ا I َۡ ِۦ آ ِ'  ( ٠٧ ) ِ5 2 ِ ٱ َرۡض َ5 ٱۡ9 ِ ً إ ُ8q َ ُ و َـٰ' ۡ َ_ َ3 و َ ِ َ َـٰ$ ِ$ۡN َ  ِﮩ َ I َآۡ َـٰ  ( ١٧ ) ُ َ' َ  َ*ۡ َه َو و ۥۤ ً۟ َs ِ$ َ I َ 3 ُ8ب َNۡ! َA َ و َـٰR ِdۡS إ َ ِ ِS َـٰ$ َ \ َ$ۡ َN t۟ B ُu َآ ۖ و ( ٢٧ ) ِ َٲت َۡ َ ٱۡv ِNۡ) ِۡ I َۡ< ِ ٓ إ َ َۡ َوۡ َأ َ و ِ3 َ,ۡ ِ9 َ  ُون َﮩۡ ً۟ A s ِ ٕ َx ُۡ أ َـٰ< َ$ۡ َN َB و ِ َ8ٰة $ َ ٱz َ م ِ+ َإ و ِ َ8ٰة J َ ٱ{ ٓء َ ِA2 َإ و َ ِA ِ َـٰ* َ % َ ْ  ُ8ا َ 3 َآ ۖ و ( ٣٧ ) ِ5 2 ِ ٱ َs َۡA َ ٱۡ! ِ ُ , َـٰ' ۡ َ_ َ3 ً۟ و ِ$ۡ َ% ً۟ و ُ?ۡ ُ  َـٰ' َۡ َا ً ء ُ8q َ و َ ِ| ٕ َـٰٓx َ* ُ ٱۡv َ) Nۡ َO َ 3 آ َ ِ ِ! َـٰ ٍ۟ I َ8ۡء َ d َ8ۡم ْ + ُ8ا َ 3 ُۡ آ < ِ3 ۗ إ ( ٤٧ ) َ ِ5 ر ُ I َـٰ' َ$ۡ َدۡp َأ و ٓ َ ِ َ2 ۡ ُ ' ِ3 ۖ إ َ ِ ِS ـٰ$ َ ٱz ِ ۥ , ( ٥٧ ) ُ َ' َ  َ*ۡ َ_ َﭑdۡ2 ُ I َ*ۡ) ِ + َىٰ , َ د ِذۡ 3 ً إ ُ8 َ3 و ُ َ' َهۡ$ َأ ُ و َـٰ' ۡ َ_ َ ۥ I ِ ِ َb ِ ٱۡN َۡب َ ٱۡk ِ ۥ , ( ٦٧ ) َ ِA 7 ِ ٱ َ8ۡم َ ٱۡ! ِ ُ , َـٰ' َۡ3 َz َ3 و ٓ َ ِ َـٰ2 َ A ٔ ِـ ْ  ُ8ا  َ7 آ ْ ُ8ا َ 3 ُۡ J ﮩ ِ3 ۚ إ َ ِ َN َBۡ ُۡ أ َـٰ< َ+ۡ َۡ َ9 ٍ۟ I َ8ۡء َ d َ8ۡم + ( ٧٧ ) ُ َاو َد و ِذۡ ِ إ َۡث ِ5 ٱۡS ِ I َ ن ُ َSۡk ِذۡ A َ إ َـٰ َۡ ُ$ َd َ و ۥد َ ِA ِ َـٰ< ِۡ  ِ< ُ?ۡ ِS   ُ َJ ِ و َ8ۡم ُ ٱۡ! َ َ ِ  ِ' َOۡ I َZ َ> 3 ( ٨٧ ) َ َـٰ َۡ ُ$ َ d َـٰ< ۡ َ< َ> I ِ$ۡ َ% ً۟ و ُ?ۡ َ  َۡ َا t ء ُu َJ ۚ و ً۟  َ َ َ , ۡ3 َv َd ۚ و ُ َاو د َ ۡ َٱV َ و QSۡ َ* ُ َ A َ ل ِ* َ ٱۡ_ ۥد َ ِ ِ$ َـٰN  I ُ َJ ۚ و ( ٩٧ ) ُۡ ِ? َ9ۡd Q ۢ  ُ , َ? ِ ُSۡz ِ2 ُۡ  k ٍ۟  ُ8س َ* َ  َs َ ۡN ُ \ َـٰ' ۡ َ$ َ% و ُۡ َ32 َ)ۡ أ َ< ۖ I َ ُون ِ َـٰ?  ( ٠٨ ) ِ ِى  َ_ۡ ً۟ َs ِ> َ \ َ % QAƒ َ ٱ َـٰ َۡ ُ$ ِ َ و َ ِﮩ َ I َآۡ َـٰ ِ5  2 ِ ٱ َرۡض َ5 ٱۡ9 ِ ِۦۤ إ ِ َ,ۡ 9 ٍ َ5ۡء Q  ُ) ِ?   ُ َJ ۚ و َ ِ ِ َـٰ$ % ( ١٨ ) ُ َ' َ  ُ8ن ُ8\ َ„ َ A ِ , ِ َـٰV  َ ٱZ ِ َ, و َ ِ َٲ َ ذ ُون ً۟ د َu َ َ uploads/Geographie/ these-nadia-finalisee.pdf

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