µ¦¦³»¤ª·µµ¦ nµ¥µª·«ª¦¦¤°»µ®µ¦ ¦³Îµe ¡.«. 2556 16-18 »¨µ¤ 2556 ¡´¥µ ¨»¦¸ µ¦®µª´»ÎµÁ¢g°¸Énµ¦³ªµ¦»·ªÂ ȸɤ¸ ¸Îµ´ªµ¤¨oµ¼» Gear’s material selection and Surface Hardening Process for highest endurance limit ¦rÁ ¡´Å¡¼¨¥r1* ··£´ ¦´´¦r 2 1 £µª·µÁÃ襸ª·«ª¦¦¤µ¦ÁºÉ°¤ 2£µª·µÁÃ襸ª·«ª¦¦¤Á¦ºÉ°¨ ª·¥µ¨´¥ÁÃ襸°»µ®¦¦¤ ¤®µª·¥µ¨´¥ÁÃ襸¡¦³°¤Á¨oµ¡¦³¦Á®º° E-mail: [email protected] [email protected] 2 Narongdet Pattanaphiboon1* Kittiphat Rattanachan 2 1 Department of Welding Engineering Technology, 2Department of Mechanical Engineering Technology, Collage of Industrial Technology, King Mongkut’s University of Technology North Bangkok E-mail: [email protected] [email protected] 2 ´¥n° Ä°»µ®¦¦¤µ¦¨··É¸ÉŤno°µ¦Ä®oÁ· ¹Ê º°ªµ¤Á¸¥®µ¥ ÁºÉ°¤£µ¡ °Á¦ºÉ°¤º°¨n°Áª¨µ°´ª¦ °´³ÎµÄ®oÁ·ªµ¤Á¸¥®µ¥n°¦³ªµ¦¨· nª¤µªµ¤Á¸¥®µ¥³Á· ¹Ê¸É¦³nε¨´ Án Á¡¨µ ´ µ°°µ´ ¨³Á¢g°¢{®´ ®¦º°¦¼ ¹ÉµÁ®»®¨´ °ªµ¤Á¸¥®µ¥ÅoÂn »¤´· °ª´» ¦¦¤ª·¸µ¦ ¨· ·Éª¨o°¤Äµ¦Äoµ ´´Ê¹¤¸ªµ¤ÎµÁ}¸É³o°«¹¬µ ¨³Á¦¸¥¦¼o¹¨´¬³µ¦ªµ¤Á¸¥®µ¥µ ¨ °ª´»¸ÉÁ}nª¦³° °Á¦ºÉ°¤º°¨Á®¨nµ´ÊÁ¡ºÉ°¸É³ªµÂĵ¦´µ¦Îµ¦»¦´¬µÅo°¥nµ¼o° ¨³°¥¼nĵ¦ª»¤ µµ¦«¹¬µ ªµ¤Á¸¥®µ¥¸ÉÁ· ¹Ê´·Ênª¸É嵦nε¨´¦o°¥¨³ 80-90 ¤¸µÁ®» µµ¦¨oµ´ª °ª´» (Fatigue Failures) ĵª·´¥¸Ê¹Åo¤»nÁo¸Éµ¦«¹¬µªµ¤¨oµ´ª ° Á®¨È¨oµ DIN 1.6582, DIN 1.7225 ¸Énµ¦³ªµ¦»·ªÂ Ȧ³ÂÁ®¸¥ªÎµ ¨³Á®¨È¨oµ DIN 1.5919, DIN 1.7131 ¨³ JIS SCM415 ¸Énµ¦³ªµ¦»·ªÂ ÈÂÂpµ¦r»Å¦r ¸É·¥¤ÄoεÁ¡¨µ ¨³Á¢g°Ä¦³Á« ťåε®´Ê Ȩ¹¸É 0.8 ¤·¨¨·Á¤¦ ¨³°ªµ¤¨oµÂ®¤»´ (Rotating Bending Fatigue)Ã¥Äo ªµ¤Á¦Èª¦°¸É 3,000 ¦°n°µ¸ µ °·Ê°Á¦¸¥¤µ¤¤µ¦µ DIN 50113 µµ¦° Á¡ºÉ°¦oµ¦µ¢ S-N Curve ¡ªnµ Á®¨È¨oµ DIN 1.5919 nµ¦³ªµ¦»·ªÂ ÈÂÂpµ¦r»Å¦r¤¸nµ ªµ¤oµµ¦¨oµ´ª¼» 宨´ ªµ¤Á¸¥®µ¥µµ¦¨oµ´ª °ªµ¤¨oµÂ®¤»´ µ¦»·ªÂ ÈÂÂpµ¦r»Å¦r Abstract The deterioration of machine tool in mass production industrial made the severity of loss of production process. The most damage is occurs on the transmission system, such as the fracture of drive shaft and/or gear tooth fracture or gear tooth deformation. The main causes of failure are composing of first material properties, second the production process, and third the environmental. Therefore, it is necessary to study and learn about the characteristics of the damage’s mechanic of the parts material. So it’s necessary to study the failure or damage mechanic of the components of the machine tools to make the right maintenance. From the data, the most 80 to 90 percent of failure parts is due to the µ¦¦³»¤ª·µµ¦ nµ¥µª·«ª¦¦¤°»µ®µ¦ ¦³Îµe ¡.«. 2556 16-18 »¨µ¤ 2556 ¡´¥µ ¨»¦¸ fatigue failure of the material. This research’s aimed is to study the life-time of DIN 1.6582 and DIN 1.7225 steel, that induction hardening and DIN 1.5919, DIN 1.7131 and JIS SCM415 steel that surface carburizing. Those two groups of steel commonly used for shaft and gear. The case depth is 0.8 mm, the rotating bending fatigue testing machine is using to construction the S-N curve. The test is run at 3,000 rpm, the size of the test piece prepared according to DIN 50113 standard. The result from S-N Curve shown that the DIN 1.5919 steel with surface carburized is the highest endurance limit. Keywords: Fatigue Failures, Rotating Bending Fatigue, Gas carburizing 1. ε Ä°»µ®¦¦¤µ¦¨··É¸ÉŤno°µ¦Ä®oÁ· ¹Ê º°ªµ¤Á¸¥®µ¥ ÁºÉ°¤£µ¡ °Á¦ºÉ°¤º°¨n°Áª¨µ °´ª¦ °´³ÎµÄ®oÁ·ªµ¤Á¸¥®µ¥n°¦³ªµ¦¨· n ª ¤µªµ¤Á¸ ¥ ®µ¥³Á· ¹Ê ¸É ¦ ³n Î µ ¨´ Án Á¡¨µ ´ µ°°µ´ ¨³Á¢g°¢{®´ ®¦º°¦¼ Ã¥ ··ÊnªÁ®¨nµ¸Êo°nµ¦³ªµ¦»·ªÂ È Âpµ¦r»Å¦r·É®¦º°¦³ªµ¦»·ªÂ Ȧ³Â Á®¸É ¥ ªÎ µ ¹É Á} ¦³ªµ¦¸É · ¥ ¤Äo ´ °¥n µ ªoµ ªµÄ{»´ Ã¥Á¡µ³Äµ¦¨··Ênª ¦¥r¨³Á¦ºÉ°´¦´ÉªÅµÁ®»®¨´ °ªµ¤Á¸¥®µ¥ ÅoÂn »¤´· °ª´» ¦¦¤ª·¸µ¦¨· ·Éª¨o°¤ ĵ¦Äoµ µµ¦«¹¬µ ªµ¤Á¸¥®µ¥¸ÉÁ· ¹Ê´ ·Ê n ª ¸É Î µ µ¦n Î µ ¨´ ¦o ° ¥¨³ 80-90 ¤¸ µÁ®» µ µ¦¨oµ´ª °ª´» (Fatigue Failures) µ¦ª·´¥¸Êo° µ¦«¹ ¬µª´ » Î µ Á¢g ° ¸É · ¥ ¤Äo Ä ¦³Á«¸É n µ ¦³ªµ¦»·ªÂ È´Ê°¦³ªµ¦¸É¨nµª oµo åε®´Ê Ȩ¹¸É 0.8 ¤·¨¨·Á¤¦ ¨³°ªµ¤ ¨oµ´ªÂ®¤»´ Á¡ºÉ°Á¦¸¥Á¸¥nµªµ¤oµµ¦¨oµ °´Ê°¦³ªµ¦»·ªÂ È Á¡ºÉ°Á¦¸¥¦¼o¹¨´¬³ µ¦ªµ¤Á¸¥®µ¥µ¨ °ª´»¸ÉÁ}nª¦³° ° Á¦ºÉ ° ¤º ° ¨Á®¨n µ ´Ê Á¡ºÉ ° ¸É ³ªµÂĵ¦´ µ¦ 妻¦´¬µÅo°¥nµ¼o° ¨³°¥¼nĵ¦ª»¤ 2. §¬¸¸ÉÁ¸É¥ª o° ®¨´µ¦´ÉªÅ °¦³ªµ¦»·Â ȵ¦r » Å ¦·É º ° ¦³ªµ¦Á¡·É ¤ µ¦r °Á o µ ¼n · ª ° Á®¨È¨oµ¸Éæ¦oµ°°ÁÅr Ã¥·ª °Á®¨È¨oµ ´Ê ³´ ¤ ´ ´ ¦¦¥µµ««´ ¥r µ¦r ° ¨³¼ ¨º µ¦r°Á oµ¼n·ªÃ¥µ¦Â¡¦n (Diffuse) Á oµ¼n·ªÁ®¨È¨oµ oª¥Á®»¸Éæ¦oµ°°ÁÅrµ¤µ¦¦´µ¦r°Åo ¤µªnµÃ¦¦oµÁ¢°¦rŦr µ¦r°¹µ¤µ¦Â¡¦n¹¤ Á o µ ¼n · ª Á®¨È ¨o µ Å°¥¼n Ä Ã¦¦o µ °°ÁÅr Á¤ºÉ°µ¦r°Â¡¦nÁ oµ¼n·ÊµÅo¦·¤µ¸Éo°µ¦ ¹¨ °»®£¼¤·¨Ä®oÁ®¨º° 850 °«µÁ¨Á¸¥ µ´ÊεĮo Á¥È´ª¨°¥nµ¦ªÁ¦Èª ·É¸É³Åoº°Ã¦¦oµ¤µ¦rÁ År ¦· Á ª· ª ¸É µ¦r °Åo  ¡¦n Á o µ Å n ª ¦· Á ª ¨µ³Á} æ¦o µ Á¢°¦r Å ¦r Á } n ª Ä®n ÁºÉ ° µµ¦r °Â¡¦n ŠŤn¹ Î µ Ä®o · ª °·Ê µ¤¸ ªµ¤Â ȼ ¹Ê nªÂ¨µ °·Êµ³Å¤nÂ È ¹Ê Ân³ªµ¤Á®¸¥ª ¦¼¸É 1 ®¨´µ¦Îµµ ° Áµ» Â È Âª» ¤ ¦¦¥µµ« Î µ ®¦´ » · ª Â È ¹É { » ´ Áµ» Â È Âª» ¤ ¦¦¥µµ«Äo ¦ ³ °¤¡·ªÁ°¦rª»¤ÎµÄ®oµ¤µ¦ª»¤»£µ¡ Án nµªµ¤Â È ´Ê Ȩ¹ (Case Depth) Åo°¥nµÂ¤n¥Îµ ¨³¤ÉεÁ¤°¤µ Ä¡´ªÄ®o° Ä®o ªµ¤¦o° ¦³¼oµ ¦³¼ Á¨ªÅ¢ÁµÂp ¸É ¨Å ´Á¨ºÉ° ¦³ ´Á¨ºÉ° ·ÊµÁ oµ-°°Áµ ´» Ä¡´ ¦¼¸É 1 Áµ»Â Ȫ»¤¦¦¥µµ« µ¦»·ªÂ Ȧ³ÂÁ®¸¥ªÎµÁ®¨È¨oµ¸ÉÄo »Â Èoª¥ª·¸¸Ê o°Á}Á®¨È¨oµµ¦r°¸É¤¸µ¦r° µ¨µ ¹ÊÅ ®¦º°¤¸µ¦Áº° Án Cr Mo Á}o µ¦¦³»¤ª·µµ¦ nµ¥µª·«ª¦¦¤°»µ®µ¦ ¦³Îµe ¡.«. 2556 16-18 »¨µ¤ 2556 ¡´¥µ ¨»¦¸ ¡¨´ µªµ¤¦o ° ¸É Ä o Å o µ ¨ªÁ®¸É ¥ ªÎ µ ¹É ¤¸ ¦³ÂÅ¢¢j µ ªµ¤¸É ¼ Å®¨ Î µ Ä®o Á · µ¤Â¤n Á ®¨È Å¢¢jµ ¨³Á·µ¦Á®¸É¥ªÎµ εĮo¤¸¦³ÂÅ¢¢jµÅ®¨ ¦· Áª· ª °·Êµ» Â È ¹É ³Îµ Ä®o ·Ê µÅo ¦´ ªµ¤¦o°°¥nµ¦ªÁ¦Èª Ânªµ¤¦o°¸Ê³°¥¼nÂn¦·Áª ·ª·ÊµÁnµ´Ê ®¨´µÅo¦´ªµ¤¦o°Â¨oª·ÊµÈ ³¼ÎµÄ®oÁ¥È°¥nµ¦ªÁ¦Èªoª¥µ¦¸Êε´¦¼¸É 2 ´Ê  Ȩ¹ (Case Depth) ¸É·ªµ¤µ¦Îµ®Åon° oµ ¤n¥Îµ ÁºÉ°µ ¹Ê´ªµ¤¸É ε¨´Å¢¢jµ ªµ¤Á¦ÈªÄ µ¦Á¨ºÉ ° ¸É n µ ¨ª °·Ê µ · °µ¦» ¦ª¤¹ªµ¤Â¦Â¨³¦·¤µ °µ¦»¹É´ªÂ¦Á®¨nµ¸Ê µ¤µ¦Îµ®Åo°¥nµÂn° 1000 (mm) F Motor ¦¼¸É 3 ®¨´µ¦Á¦ºÉ°°ªµ¤¨oµÂ®¤»´ (Rotating Bending Fatigue) (a) (b) ¦¼¸É 4 ®oµ´·ÊµÁ¤ºÉ°Åo¦´ªµ¤Áo´ ¦¼¸É 2 Áµ»Â Ȫ»¤¦¦¥µµ« 宦´µ¦°ªµ¤¨oµÂ®¤»´ (Rotating Bending Fatigue) ´Ê ·Êµ³Åo¦´Â¦´¦¼¸É 3 Á¤ºÉ° Åo¦´Â¦·Êµ³¤¸¨´¬³´¦¼¸É 4(a) ®oµ´·Êµ ³Åo¦´ªµ¤Áo°´¼» (Maximum Compressed Stress) ¸É» C ¨³Åo¦´ªµ¤Áo¹¼» (Maximum Tensile Stress) ¸É» T ÂnÁ¤ºÉ°¤°®oµ´Ä¦¼ 4(b) ³Á®ÈÅoªnµÅ¤nÁ·ªµ¤Áo¸É» NR ¨³ NL Á¨¥ ´´ÊÁ¤ºÉ°·ÊµÅo¼®¤»Å¦ 1 ¦° »Ân¨³»¸É ·ª®oµ³Åo¦´ªµ¤Áo°´Â¨³¹¦ 1 ¦° ¨³³ Á®È Åo ªn µ n µ ªµ¤Áo ¼ » ¨³ÉÎ µ » ´ ¤ ¼ ¦ r (Absolute) ¤¸nµÁnµ´ Á¤ºÉ°Îµ¤µÁ¨¸É¥Â¨oª³ÅonµÁ¨¸É¥ Ánµ´«¼¥r Á¦µÁ¦¸¥mode °µ¦°ªµ¤¨oµÂ ¸Êªnµ Absolute cross change cyclic stress Ã¥ µÂ¨³¦¼ ¦n µ °·Ê µ°µ¤ ¤µ¦µ DIN 50113 ¨³ JIS Z 2274 µ¦Îµª®µ ¦ F Åo´¤µ¦¸É 1 ¸É¨µ¥°¸oµ®¹É °·Ê °Â¨³ª´ Î µ ª¦° °·Ê ° µ³ µ¤µ¦Î µ ª®µn µ ªµ¤Áo ´ ¨´ (Alternating bending stress) V ba Åo V ba = M b / Wb 3 = F 1 /(S d / 32) (1) Ã¥¸É V ba º°nµªµ¤Áo´¨´ (MPa) W b º°nµ 伨´£µ´ (section modulus) (mm3) M b º°nµ äÁ¤r´ (N.mm) F º° ¦¸ÉÄoĵ¦° (N) d º° µÁonµ«¼¥r¨µ·Ê° (mm) l º° ªµ¤¥µª (mm) εnµªµ¤Áo (S) ¨³Îµª¦´Ê¸É¦¦³Îµ´ ·Ê°¤µ´¹¨Å°³Â¦¤Ã¥Â´Ê³Á} °nµªµ¤ÁoÂnÂÁo¦ nªÂ°Á} εª¦´ÊÂnÁ}¨°µ¦·¹¤ µ¦Ân¨´¬³¸Ê ³µ¤µ¦¤°ÁoÃoÅo´ ¹Êåå»nµ Ç ¸ÊÁ oµ µ¦¦³»¤ª·µµ¦ nµ¥µª·«ª¦¦¤°»µ®µ¦ ¦³Îµe ¡.«. 2556 16-18 »¨µ¤ 2556 ¡´¥µ ¨»¦¸ oª¥´³ÅoÁoÃoê®rÁ¨°¦r (Woehler curve) ®¦º° µ¦´ÊÁ¦¸¥ªnµÁoÃoÁ°-Á°È (S-N curve) 3. ª·¸µ¦ª·´¥ Á¦¸¥¤·Êµ°µ¤¤µ¦µ¤µ¦µ DIN 50113嵦»·ªÂ ÈÃ¥Á®¨È¨oµ DIN 1.6582 ¨³ DIN 1.7225 嵦»·ªÂ Ȧ³ÂÁ®¸¥ªÎµ Á®¨È¨oµ DIN 1.5919, DIN 1.7131 ¨³ JIS SCM415 嵦»·ªÂ ȵ¦r»Å¦·É Ã¥Á®¨È¨oµÂn ¨³·¤¸nª¤µÁ¤¸´µ¦µ¸É1 ε®´Ê Ȩ¹ ¸É 0.8 ¤·¨¨·Á¤¦ ¨oªÎµµ¦°º´ª µ¦µ¸É 1 nª¤µÁ¤¸ °Á®¨È¨oµÂn¨³· Á¦ %C %Si %Mn %Cr %Mo %Ni 1.7225 1.5919 1.7131 SCM41 5 Á®¨È¨oµ 1.6582 30 ·Ê Á®¨È¨oµ 1.6582 30 ·Ê µ¦»·ªÂ È µ¦r»Å¦·É Á®¨È¨oµ 1.6582 30 ·Ê Á®¨È¨oµ 1.6582 30 ·Ê Á®¨È¨oµ 1.6582 30 ·Ê °´Ê Ȩ¹µ¤¤µ¦µ JIS G 0557 °ªµ¤¨oµ¸Éªµ¤Á¦Èª¦° 3000 ¦°n°µ¸ µ¤¤µ¦µ DIN 50113 Á®¨È 1.6582 µ¦»·ªÂ È ¦³ÂÁ®¸¥ªÎµ 0.30.38 0.380.45 0.120.17 0.140.19 0.130.18 0.10.4 0.10.4 0.10.4 0.10.4 0.150.35 0.50.8 0.60.9 0.60.9 1.01.3 0.60.85 1.31.7 0.91.2 0.91.2 0.81.1 0.91.2 0.150.3 0.150.3 - 1.31.7 1.21.5 - 0.15- 0.3 ¦¼¸É 5  ´Ê°µª·´¥ µ¦¦ª°´Ê Ȩ¹ °·Êµ µ¤¤µ¦µ JIS G 0557 Ã¥¤¸ ´Ê°´Ê¸Ê ·Ê¨°³¼Îµ¤µ´ µ¤ ªµo ª¥Á¦ºÉ °´ ÂÁ¥È ¨³³¼Îµ¤µ ¹Ê ´ ª Á¦º °´¦¼ ¸É 6 ®¨´ µ´Ê ³¼Îµ¤µ ´ Ã¥Á¦·É¤ µ µ¦ ´®¥µ ´¨³Á°¸¥ ¨³ ´¤´Îµ¤µª´´Ê Ȩ¹ o ª ¥Á¦ºÉ ° °ªµ¤Â È Â» ¨ £µ (Micro hardness tester) ´¦¼¸É 7 µ¦°°Âµ¦¨° °µª·´¥¸Ê ¤¸ ´Ê°µ¦ ¨° °µª·´¥¸ÊÂĦ¼¸É 5 ¦¼¸É 6 ·Ê°¸É ¹Ê´ªÁ¦º°¡¦o°¤ª´´Ê Ȩ¹ µ¦¦³»¤ª·µµ¦ nµ¥µª·«ª¦¦¤°»µ®µ¦ ¦³Îµe ¡.«. 2556 16-18 »¨µ¤ 2556 ¡´¥µ ¨»¦¸ ¦¼¸É 7 Á¦ºÉ°°ªµ¤Â È»¨£µ (Micro hardness tester) µ¦°ªµ¤¨o µ ·Ê ¨° µÁo n µ «¼¥r¨µ 19 ¤¤. ¥µª 200 ¤¤. ¨¹¨ µµ¤ ¤µ¦µ DIN 50113 Ã¥¤¸ µ do Ánµ´ 8 ¤¤. ra Ánµ´ 74 ¤¤. ¦µ¥¨³Á°¸¥ °Â·ÊµÂ´¦¼¸É 8 ε·Ê¨°¤µ ´¦³µ¬¦µ¥ Á°¦r 1500, 2000 ¨³°ªµ¤¨o µ o ª ¥°ªµ¤¨o µ ¨o µ  äÁ¤r´°¸É (Constant bending moment)  ´¦¼¸É 9 ( ) ¦¼¸É 9 Á¦ºÉ°°ªµ¤¨oµÂäÁ¤r´°¸É () ¦¼oµ oµÁ¦ºÉ° ( ) ¦¼oµ®oµÁ¦ºÉ°Âε®n¦ 4. ¨µ¦¨° ¨µ¦¨° °µª·´¥ Äoµª´´Ê Ȩ¹ °·Ê µ» · ª Â È Âµ¦r » Å ¦·É °Á®¨È ¨o µ DIN 1.5919, DIN 1.7131 ¨³ JIS SCM415 ´Ê Ȩ¹ °¥¼n ¸É n µ ªµ¤Â È 550 Hv ¨³ ·Ê µµ¦» · ª Â È Â¦³ÂÁ®¸¥ªÎµÁ®¨È¨oµ DIN 1.6582 ¨³ DIN 1.7225 ´Ê Ȩ¹°¥¼n¸Énµªµ¤Â È 450 Hv ¹É³ ¡ªnµ·Êµ¤¸nµ´Ê Ȩ¹Ä¨oÁ¸¥´¹Éª´nµ®¨´µ µ¦» · ª Â È Â¨o ª Î µ Å°º ´ ª · ¨³µ¤·Ê ´¦¼¸É 10 ¦¼¸É 8 ·ʰªµ¤¨oµ µ¤¤µ¦µ DIN 50113 ¦¼¸É 10 ¦µ¢nµÁ¨¸É¥´Ê Ȩ¹ °Á®¨È¨oµÂn¨³· () ¨µ¦ª´ªµ¤¨oµ °·Êµ»·ªÂ ȵ¦r» Ŧ·É¨³µ¦»·ªÂ Ȧ³ÂÁ®¸¥ªÎµ´¦¼¸É 11 µ¦¦³»¤ª·µµ¦ nµ¥µª·«ª¦¦¤°»µ®µ¦ ¦³Îµe ¡.«. 2556 16-18 »¨µ¤ 2556 ¡´¥µ ¨»¦¸ ¦¼¸É 11 ¦µ¢ S-N Curve °·Ê°¸Énµµ»·ªÂ Ȩ³ °º´ª¦µ¢ °Á®¨È¨oµÂn¨³· 5. ¦» ¨µµª· ´ ¥ ¡ªn µ Äo µ °´Ê Â È ¨¹ ¦³ªµ¦» · ª Â È Âµ¦r » Å ¦·É Ä®o ´Ê Â È ¨¹ ¸É ¤ÉεÁ¤°ªnµÂ»·ªÂ Ȧ³ÂÁ®¸¥ªÎµ Äo µ n µ ªµ¤o µ µ¦¨o µ ¡ªn µ Á®¨È ¨o µ ¸É n µ ¦³ªµ¦»·ªÂ ȵ¦r»Å¦·ÉÄ®onµªµ¤oµ µ¦¨oµ¸É¸ªnµÂ»·ªÂ Ȧ³ÂÁ®¸¥ªÎµÃ¥ Á®¨È¨oµ DIN 1.5919 ¸Énµ¦³ªµ¦»·ªÂ È µ ¦r » Å ¦ ·É Ä ®o n µ ª µ ¤ o µ µ ¦ ¨o µ ¼ » à ¥ ¤¸ ªµ¤´¤¡´r¦³®ªnµ Stress (S) ´ Number of Cycles (N) ´¤µ¦ S = -93.3ln(N) +2405 ¸É R2 = 0.973 ¨³¤¸nµ ¸Îµ´ªµ¤¨oµoª (Endurance Limit) ¸É 1093 N/mm2 ··¦¦¤¦³µ« µª·´¥¸ÊÅo¦´µ¦´»µ ¦·¬´ µ¸¨¸É¢µ¦r °¸r ε´ Á°µ¦°oµ°· [1] S.Farfain, C. Rubio-Fonzaley, T. Crervantes Hernandez , G.Mesmacque. “High cycle fatigue low cycle fatigue and failure modes of a carburized steel” International Journal of Fatigue 26 (2004), 673-678 [2] ¦«. ¤´ ·¦·µ. ª·«ª¦¦¤µ¦°»Á®¨È. ¡·¤¡r¦´Ê¸É 2. ¦»Á¡¤®µ¦ : æ¡·¤¡r »¯µ¨¦r¤®µª·¥µ¨´¥, 2535 [3] ¦«.¤¹ ª´«¦¸¥»¨. µ¦»Â ÈÁ®¨È¨oµ µ´ ÁÃ襸 ¡ ¦³°¤Á¨o µ ¡¦³¦Á®º ° 2542 [4] ¦«.¤¹ ª´«¦¸¥»¨. µ¦°ª´» ¦¸Áª·¨r ¤¸Á¸¥, 2549 [5] American Society for Metals. Carburizing and Carbonitriding American Society,1977. [6] ASM Handbook Committee. “Metals Handbook 8th Edition.” The American Society for Metals 1973. [7] C.A. Stick. “Gas Carburizing.” ASM Metals Handbook, Heat Treatment 4 (1991) : 312-324 [8] F.E.Harris. “Case depth An Attempt Practical Definition.” Metal Progress, Vol 44, No2, 1943 : 265-272
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