{"id":742,"date":"2024-07-18T09:26:28","date_gmt":"2024-07-18T01:26:28","guid":{"rendered":"https:\/\/artehistoria.net\/?p=742"},"modified":"2024-07-18T09:26:29","modified_gmt":"2024-07-18T01:26:29","slug":"youngs-modulus-of-alumina","status":"publish","type":"post","link":"https:\/\/artehistoria.net\/cs\/younguv-modul-oxidu-hliniteho\/","title":{"rendered":"Young\u016fv modul oxidu hlinit\u00e9ho"},"content":{"rendered":"<p>In\u017een\u00fd\u0159i se spol\u00e9haj\u00ed na Young\u016fv modul, aby vyhodnotili, jak velk\u00e9 nam\u00e1h\u00e1n\u00ed m\u016f\u017ee materi\u00e1l sn\u00e9st, ne\u017e se trvale zdeformuje nebo sel\u017ee, a aby navrhli konstrukce, kter\u00e9 odol\u00e1vaj\u00ed vn\u011bj\u0161\u00edm sil\u00e1m, ani\u017e by se naru\u0161ily nebo rozpadly.<\/p>\n<p>Nedestruktivn\u00ed zkou\u0161ky, jako je akustick\u00e1 a nanoindentace, p\u0159edstavuj\u00ed \u00fa\u010dinn\u00e9 n\u00e1stroje pro hodnocen\u00ed mechanick\u00fdch vlastnost\u00ed materi\u00e1l\u016f; jejich po\u017eadavky na vzorky v\u0161ak mohou b\u00fdt omezen\u00e9, co\u017e vede k m\u00e9n\u011b rovnom\u011brn\u00fdm distribu\u010dn\u00edm k\u0159ivk\u00e1m ve srovn\u00e1n\u00ed s tradi\u010dn\u00edmi metodami tahov\u00fdch zkou\u0161ek.<\/p>\n<h2>Young\u016fv modul<\/h2>\n<p>Young\u016fv modul, ozna\u010dovan\u00fd tak\u00e9 jako modul pru\u017enosti, m\u011b\u0159\u00ed schopnost materi\u00e1l\u016f odol\u00e1vat deformaci. In\u017een\u00fd\u0159i pot\u0159ebuj\u00ed zn\u00e1t Young\u016fv modul, proto\u017ee kvantifikuje odolnost proti vn\u011bj\u0161\u00edm sil\u00e1m a umo\u017e\u0148uje jim navrhovat efektivn\u011bj\u0161\u00ed syst\u00e9my.<\/p>\n<p>Pro stanoven\u00ed Youngova modulu mus\u00ed b\u00fdt vzorek materi\u00e1lu nejprve vystaven vzr\u016fstaj\u00edc\u00edmu tahov\u00e9mu nap\u011bt\u00ed, dokud nen\u00ed dosa\u017eeno meze pru\u017enosti, a teprve pot\u00e9 se nech\u00e1 vr\u00e1tit do p\u016fvodn\u00edch rozm\u011br\u016f, ne\u017e je aplikov\u00e1no nov\u00e9 nap\u011bt\u00ed. M\u011b\u0159en\u00ed deformace proveden\u00e9 b\u011bhem tohoto procesu umo\u017e\u0148uje vypo\u010d\u00edtat Young\u016fv modul vynesen\u00edm jeho sklonu na k\u0159ivku nap\u011bt\u00ed\/deformace.<\/p>\n<p>Zat\u00edmco tahov\u00e1 zkou\u0161ka z\u016fst\u00e1v\u00e1 z\u00e1kladn\u00ed metodou m\u011b\u0159en\u00ed Youngova modulu, jej\u00ed p\u0159esnost p\u0159i m\u011b\u0159en\u00ed deformace v mikroskopick\u00e9m m\u011b\u0159\u00edtku m\u016f\u017ee b\u00fdt obt\u00ed\u017en\u00e1. Nanoindentace nab\u00edz\u00ed dal\u0161\u00ed p\u0159\u00edstup, kter\u00fd dok\u00e1\u017ee p\u0159esn\u011b zachytit hodnoty Youngova modulu v nanom\u011b\u0159\u00edtku - vy\u017eaduje v\u0161ak zku\u0161ebn\u00ed za\u0159\u00edzen\u00ed s vysok\u00fdm rozli\u0161en\u00edm a specializovan\u00e9 n\u00e1stroje pro p\u0159\u00edpravu vzork\u016f k anal\u00fdze.<\/p>\n<p>Young\u016fv modul oxidu hlinit\u00e9ho byl zkoum\u00e1n dynamicky b\u011bhem procesu sp\u00e9k\u00e1n\u00ed a uk\u00e1zal exponenci\u00e1ln\u00ed z\u00e1vislost na p\u00f3rovitosti, kter\u00e1 je ve v\u00fdborn\u00e9m souladu se statick\u00fdmi m\u011b\u0159en\u00edmi p\u0159i pokojov\u00e9 teplot\u011b. Dynamick\u00fd Young\u016fv modul nav\u00edc exponenci\u00e1ln\u011b roste p\u0159i vy\u0161\u0161\u00edch teplot\u00e1ch, proto\u017ee procesy zhu\u0161\u0165ov\u00e1n\u00ed p\u0159eva\u017euj\u00ed nad procesy sp\u00e9k\u00e1n\u00ed.<\/p>\n<p>Vzhledem k ni\u017e\u0161\u00edmu modulu pru\u017enosti oxidu hlinit\u00e9ho vy\u017eaduje jeho natahov\u00e1n\u00ed v\u011bt\u0161\u00ed s\u00edlu ne\u017e natahov\u00e1n\u00ed podobn\u00fdch \u00fasek\u016f ocelov\u00e9ho materi\u00e1lu, co\u017e z testov\u00e1n\u00ed na Vernierov\u011b stupnici \u010din\u00ed nezbytn\u00fd zp\u016fsob sb\u011bru p\u0159esn\u00fdch dat p\u0159i tahov\u00fdch zkou\u0161k\u00e1ch. In\u017een\u00fd\u0159i budou m\u00edt prosp\u011bch z p\u0159esn\u011bj\u0161\u00edch v\u00fdpo\u010dt\u016f Youngova modulu, aby mohli tyto d\u016fle\u017eit\u00e9 informace vyu\u017e\u00edt p\u0159i navrhov\u00e1n\u00ed efektivn\u011bj\u0161\u00edch konstrukc\u00ed. P\u0159\u00edklad: Pou\u017eit\u00ed oxidu hlinit\u00e9ho s ni\u017e\u0161\u00edm Youngov\u00fdm modulem ne\u017e u oceli m\u016f\u017ee zajistit v\u011bt\u0161\u00ed tuhost zubn\u00edch n\u00e1hrad a omezit prask\u00e1n\u00ed p\u0159i p\u016fsoben\u00ed s\u00edly, co\u017e zlep\u0161\u00ed komfort pacienta a z\u00e1rove\u0148 sn\u00ed\u017e\u00ed riziko selh\u00e1n\u00ed implant\u00e1tu v d\u016fsledku nadm\u011brn\u00e9ho zat\u00ed\u017een\u00ed.<\/p>\n<h2>Poisson\u016fv pom\u011br<\/h2>\n<p>Hlin\u00edk se vyzna\u010duje extr\u00e9mn\u011b vysok\u00fdm Youngov\u00fdm modulem, tak\u017ee je odoln\u00fd proti deformaci. Bohu\u017eel jeho k\u0159ehk\u00e1 povaha znemo\u017e\u0148uje jeho pou\u017eit\u00ed v aplikac\u00edch vy\u017eaduj\u00edc\u00edch plasticitu, jako jsou konstruk\u010dn\u00ed sou\u010d\u00e1sti nebo \u0159ezn\u00e9 n\u00e1stroje, a to z d\u016fvodu absence meze kluzu - proto je tak d\u016fle\u017eit\u00e9 porozum\u011bt jeho chov\u00e1n\u00ed p\u0159i nam\u00e1h\u00e1n\u00ed.<\/p>\n<p>\u0158e\u0161en\u00edm je vibra\u010dn\u00ed testov\u00e1n\u00ed, p\u0159i kter\u00e9m se m\u011b\u0159\u00ed rezonan\u010dn\u00ed frekvence objektu a hodnot\u00ed se tak jeho elastick\u00e9 vlastnosti. P\u0159i vibra\u010dn\u00edch zkou\u0161k\u00e1ch se pou\u017e\u00edvaj\u00ed mal\u00e9 projektily, kter\u00fdmi se poklep\u00e1v\u00e1 na vzorky, p\u0159i\u010dem\u017e se pomoc\u00ed sn\u00edma\u010d\u016f zaznamen\u00e1vaj\u00ed vibra\u010dn\u00ed sign\u00e1ly; ty se pak p\u0159ev\u00e1d\u011bj\u00ed zp\u011bt na data ve frekven\u010dn\u00ed oblasti pomoc\u00ed rychl\u00e9 Fourierovy transformace a nakonec se vyu\u017e\u00edvaj\u00ed v softwaru navr\u017een\u00e9m speci\u00e1ln\u011b pro jejich anal\u00fdzu, aby se s vysokou p\u0159esnost\u00ed vypo\u010d\u00edtala rezonan\u010dn\u00ed frekvence a ur\u010dily pru\u017en\u00e9 vlastnosti vzork\u016f.<\/p>\n<p>Poisson\u016fv pom\u011br v oxidu hlinit\u00e9m z\u00e1vis\u00ed na hustot\u011b a bun\u011b\u010dn\u00e9 struktu\u0159e jeho slo\u017een\u00ed; p\u0159esn\u00e9 m\u011b\u0159en\u00ed Poissonova pom\u011bru v oxidu hlinit\u00e9m proto m\u016f\u017ee b\u00fdt kv\u016fli t\u011bmto prom\u011bnn\u00fdm obt\u00ed\u017en\u00e9. P\u0159esto jej n\u011bkolik studi\u00ed zkoumalo pomoc\u00ed vibra\u010dn\u00edch test\u016f nebo jin\u00fdch prost\u0159edk\u016f.<\/p>\n<p>Jednou z takov\u00fdch metod je syst\u00e9m Sonelastic pro m\u011b\u0159en\u00ed smyku, Poissonova pom\u011bru a tlumen\u00ed. Za\u0159\u00edzen\u00ed m\u011b\u0159\u00ed rezonan\u010dn\u00ed frekvence vzork\u016f pomoc\u00ed p\u0159esn\u00fdch dr\u00e1t\u011bn\u00fdch podp\u011br, aby bylo mo\u017en\u00e9 ur\u010dit moduly pru\u017enosti materi\u00e1l\u016f s hrubou mikrostrukturou, jako jsou betony nebo \u017e\u00e1ruvzdorn\u00e9 materi\u00e1ly - m\u011b\u0159en\u00ed se prov\u00e1d\u00ed jak p\u0159i n\u00edzk\u00fdch, tak p\u0159i vysok\u00fdch teplot\u00e1ch.<\/p>\n<p>Normalizovan\u00fd Poisson\u016fv pom\u011br v hlin\u00edkov\u00fdch p\u011bn\u00e1ch se m\u011bn\u00ed v z\u00e1vislosti na jejich relativn\u00ed hustot\u011b a nejl\u00e9pe se modeluje pomoc\u00ed mocninn\u00e9ho z\u00e1kona s exponentem 1,72 +- 0,10. Tato hodnota se dokonale shoduje s jin\u00fdmi formami hlin\u00edkov\u00fdch p\u011bn a potvrzuje platnost m\u011b\u0159en\u00ed, kter\u00e1 byla na nich provedena. Alternativn\u011b by modely sm\u011bs\u00ed nebo perkolace mohly vysv\u011btlit, pro\u010d Poisson\u016fv pom\u011br kles\u00e1 se zvy\u0161uj\u00edc\u00ed se p\u00f3rovitost\u00ed.<\/p>\n<p>Dynamicky b\u011bhem sp\u00e9k\u00e1n\u00ed Young\u016fv modul line\u00e1rn\u011b klesal s teplotou a p\u0159i vy\u0161\u0161\u00edch teplot\u00e1ch rychle rostl, jak pokra\u010dovaly procesy zhu\u0161\u0165ov\u00e1n\u00ed. Dynamick\u00e1 m\u011b\u0159en\u00ed Youngova modulu m\u011bla u tohoto vzorku podobn\u00e9 trendy jako statick\u00e1 m\u011b\u0159en\u00ed p\u0159i pokojov\u00e9 teplot\u011b.<\/p>\n<h2>Pevnost v tahu<\/h2>\n<p>Hlin\u00edk je d\u00edky sv\u00e9 vynikaj\u00edc\u00ed pevnosti v tahu jedn\u00edm z nejpevn\u011bj\u0161\u00edch materi\u00e1l\u016f. Je schopen odolat velk\u00e9mu nam\u00e1h\u00e1n\u00ed a nap\u011bt\u00ed, ani\u017e by praskl, tak\u017ee je vhodn\u00fd pro stavebn\u00ed projekty vy\u017eaduj\u00edc\u00ed materi\u00e1ly s vysokou pevnost\u00ed, a vyzna\u010duje se tak\u00e9 p\u016fsobivou odolnost\u00ed proti od\u011bru, tak\u017ee je vhodn\u00fd pro komponenty, kter\u00e9 budou vystaveny opot\u0159eben\u00ed.<\/p>\n<p>Hlin\u00edkov\u00e1 keramika je zn\u00e1m\u00e1 svou odolnost\u00ed v\u016f\u010di tepeln\u00fdm \u0161ok\u016fm, co\u017e znamen\u00e1, \u017ee vydr\u017e\u00ed vysok\u00e9 teploty, ani\u017e by se n\u00e1hl\u00fdm zv\u00fd\u0161en\u00edm teploty po\u0161kodila. D\u00edky tomu je oxid hlinit\u00fd ide\u00e1ln\u00ed pro aplikace zahrnuj\u00edc\u00ed vysok\u00e9 teploty, jako je leteck\u00e1 technika nebo energetika. Krom\u011b toho jeho vynikaj\u00edc\u00ed elektrick\u00e1 vodivost umo\u017e\u0148uje jeho pou\u017eit\u00ed v elektroinstala\u010dn\u00edch aplikac\u00edch nebo p\u0159i zapojov\u00e1n\u00ed jin\u00fdch p\u0159edm\u011bt\u016f.<\/p>\n<p>Zkou\u0161ka tahem je jedn\u00edm z nejlep\u0161\u00edch zp\u016fsob\u016f p\u0159esn\u00e9ho m\u011b\u0159en\u00ed Youngova modulu v materi\u00e1lech, kter\u00e9 spo\u010d\u00edv\u00e1 v postupn\u00e9m zvy\u0161ov\u00e1n\u00ed s\u00edly p\u016fsob\u00edc\u00ed na vzorek a\u017e na mez pru\u017enosti. V ka\u017ed\u00e9m bod\u011b tohoto procesu se prov\u00e1d\u00ed m\u011b\u0159en\u00ed s\u00edly a pr\u016fhybu v r\u016fzn\u00fdch bodech na jeho cest\u011b a\u017e do dosa\u017een\u00ed t\u00e9to oblasti pru\u017enosti - a jej\u00ed sklon se vykresl\u00ed jako sou\u010d\u00e1st k\u0159ivky nap\u011bt\u00ed a deformace. A\u010dkoli tato metoda skv\u011ble funguje p\u0159i m\u011b\u0159en\u00ed mechanick\u00fdch vlastnost\u00ed na \u00farovni mikrom\u011b\u0159\u00edtek a nanorozm\u011br\u016f, k jej\u00edmu efektivn\u00edmu proveden\u00ed m\u016f\u017ee b\u00fdt zapot\u0159eb\u00ed specializovan\u00e9 vybaven\u00ed a odborn\u00e9 znalosti.<\/p>\n<p>Existuj\u00ed v\u0161ak i jin\u00e9 metody m\u011b\u0159en\u00ed Youngova modulu, kter\u00e9 poskytuj\u00ed p\u0159esn\u011bj\u0161\u00ed v\u00fdsledky ne\u017e tahov\u00e9 zkou\u0161ky. Jednou z takov\u00fdch metod je nanoindentace AFM, kter\u00e1 umo\u017e\u0148uje p\u0159esn\u00e9 m\u011b\u0159en\u00ed vlastn\u00edho Youngova modulu materi\u00e1l\u016f; p\u0159i t\u00e9to technice se konzola vybaven\u00e1 hrotem AFM oh\u00fdb\u00e1 proti povrchu vzorku a z tohoto procesu se zaznamen\u00e1vaj\u00ed k\u0159ivky z\u00e1vislosti s\u00edly na v\u00fdchylce.<\/p>\n<p>V\u011bdci mohou pomoc\u00ed t\u00e9to metody porovnat hodnoty Youngova modulu u r\u016fzn\u00fdch materi\u00e1l\u016f a ur\u010dit, kter\u00fd z nich m\u00e1 nejvy\u0161\u0161\u00ed vlastn\u00ed hodnotu. Krom\u011b toho lze tento p\u0159\u00edstup vyu\u017e\u00edt tak\u00e9 k anal\u00fdze vlivu po\u0161kozen\u00ed na hodnoty Youngova modulu materi\u00e1l\u016f.<\/p>\n<p>V\u011bdci tak\u00e9 zjistili, \u017ee p\u00f3rovitost oxidu hlinit\u00e9ho ovliv\u0148uje jeho Young\u016fv modul a Poisson\u016fv pom\u011br. Zat\u00edmco p\u0159edchoz\u00ed studie braly v \u00favahu pouze kulov\u00fd tvar p\u00f3r\u016f b\u011bhem zhu\u0161\u0165ov\u00e1n\u00ed, tato nov\u00e1 studie bere v \u00favahu tak\u00e9 v\u0161echny modifikace b\u011bhem zhu\u0161\u0165ov\u00e1n\u00ed, kter\u00e9 m\u011bn\u00ed tvar p\u00f3r\u016f.<\/p>\n<h2>Odolnost proti te\u010den\u00ed<\/h2>\n<p>Pomoc\u00ed Youngova modulu in\u017een\u00fd\u0159i ur\u010duj\u00ed, jak velk\u00e9 nam\u00e1h\u00e1n\u00ed m\u016f\u017ee materi\u00e1l vydr\u017eet, ne\u017e se trvale zdeformuje nebo sel\u017ee, co\u017e in\u017een\u00fdr\u016fm umo\u017e\u0148uje vytv\u00e1\u0159et konstrukce schopn\u00e9 odol\u00e1vat vn\u011bj\u0161\u00edm sil\u00e1m, ani\u017e by se rozpadly nebo z\u0159\u00edtily. V\u00fdzkumn\u00edci \u010dasto vyu\u017e\u00edvaj\u00ed nedestruktivn\u00ed metody testov\u00e1n\u00ed, jako jsou ultrazvukov\u00e9 vlny, pro p\u0159esn\u00e9 v\u00fdpo\u010dty Youngova modulu; m\u011b\u0159en\u00ed rychlosti ultrazvukov\u00fdch vln umo\u017e\u0148uje korelaci Youngova modulu s mikrostrukturou materi\u00e1lu, velikost\u00ed zrn a charakteristikami p\u00f3rovitosti \u017e\u00e1ruvzdorn\u00fdch materi\u00e1l\u016f.<\/p>\n<p>Pru\u017en\u00e9 vlastnosti oxidu hlinit\u00e9ho z\u00e1vis\u00ed na teplot\u011b a procesu sp\u00e9k\u00e1n\u00ed a tak\u00e9 na slo\u017een\u00ed sklovit\u00fdch f\u00e1z\u00ed p\u0159\u00edtomn\u00fdch na hranic\u00edch zrn. Tato druh\u00e1 f\u00e1ze m\u016f\u017ee m\u00edt dramatick\u00fd vliv na m\u00edru odolnosti proti te\u010den\u00ed; p\u0159i vystaven\u00ed vysok\u00fdm teplot\u00e1m sp\u00e9k\u00e1n\u00ed se viskoelastick\u00e1 deformace v\u00fdrazn\u011b zvy\u0161uje, zat\u00edmco p\u0159i ni\u017e\u0161\u00edch teplot\u00e1ch tento parametr line\u00e1rn\u011b kles\u00e1.<\/p>\n<p>Hlin\u00edk lze zpevnit p\u0159id\u00e1n\u00edm prvk\u016f, kter\u00e9 zvy\u0161uj\u00ed koncentraci sklovit\u00e9 f\u00e1ze a pevnost, a tak\u00e9 zlep\u0161en\u00edm krystalov\u00e9 struktury pro zv\u00fd\u0161en\u00ed Youngova modulu a odolnosti proti te\u010den\u00ed. Dopov\u00e1n\u00ed La, Mg nebo Y m\u016f\u017ee sn\u00ed\u017eit teplotu slinov\u00e1n\u00ed a z\u00e1rove\u0148 sn\u00ed\u017eit rychlost te\u010den\u00ed p\u0159i sou\u010dasn\u00e9m zv\u00fd\u0161en\u00ed pevnosti v tahu.<\/p>\n<p>Na obr\u00e1zku 11 jsou zobrazeny tahov\u00e9 fraktografy kompozit\u016f ABOw\/Al-12Si vyztu\u017een\u00fdch whiskery p\u0159i teplot\u00e1ch 350 a 400 \u00b0C, kter\u00e9 vykazovaly makroskopicky k\u0159ehk\u00fd lom jako celek, ale mikroskopicky tv\u00e1rn\u00fd lom v lok\u00e1ln\u00edch oblastech, vykazuj\u00edc\u00ed odd\u011blov\u00e1n\u00ed mezi matric\u00ed a whiskery, jako\u017e i zn\u00e1mky k\u0159em\u00edkov\u00e9 f\u00e1ze nebo f\u00e1ze intermetalick\u00e9 slou\u010deniny na povrchu hlin\u00edku, co\u017e nazna\u010duje, \u017ee mezif\u00e1zov\u00e9 odd\u011blov\u00e1n\u00ed na povrchu p\u0159i creepu bylo patrn\u00e9 na povrchu p\u0159i creepu, p\u0159i\u010dem\u017e na povrchu hlin\u00edku byly viditeln\u00e9 f\u00e1ze k\u0159em\u00edku nebo intermetalick\u00e9 slou\u010deniny, jak je patrn\u00e9 ze sn\u00edmk\u016f povrchu p\u0159i creepu (obr. 11).<\/p>","protected":false},"excerpt":{"rendered":"<p>In\u017een\u00fd\u0159i se spol\u00e9haj\u00ed na Young\u016fv modul, aby vyhodnotili, jak velk\u00e9 nam\u00e1h\u00e1n\u00ed materi\u00e1l snese, ne\u017e se trvale zdeformuje nebo sel\u017ee, a [...]<\/p>","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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