{"id":725,"date":"2024-07-10T09:23:25","date_gmt":"2024-07-10T01:23:25","guid":{"rendered":"https:\/\/artehistoria.net\/?p=725"},"modified":"2024-07-10T09:23:26","modified_gmt":"2024-07-10T01:23:26","slug":"alumina-youngs-modulus","status":"publish","type":"post","link":"https:\/\/artehistoria.net\/cs\/younguv-modul-oxidu-hliniteho-2\/","title":{"rendered":"Young\u016fv modul oxidu hlinit\u00e9ho"},"content":{"rendered":"<p>Young\u016fv modul oxidu hlinit\u00e9ho je z\u00e1kladn\u00ed vlastnost\u00ed materi\u00e1lu, kter\u00e1 umo\u017e\u0148uje in\u017een\u00fdr\u016fm navrhovat konstrukce schopn\u00e9 odol\u00e1vat vn\u011bj\u0161\u00edmu nam\u00e1h\u00e1n\u00ed. Chcete-li jej ur\u010dit, vystavte vzorek postupn\u011b se zvy\u0161uj\u00edc\u00edmu tahov\u00e9mu zat\u00ed\u017een\u00ed a zm\u011b\u0159te jeho chov\u00e1n\u00ed v z\u00e1vislosti na s\u00edle a posunut\u00ed.<\/p>\n<p>\u0160estihrann\u00fd oxid hlinit\u00fd je jednou z nejpou\u017e\u00edvan\u011bj\u0161\u00edch technick\u00fdch keramik d\u00edky sv\u00e9mu vysok\u00e9mu Youngovu modulu a n\u00edzk\u00e9 tepeln\u00e9 rozta\u017enosti a tak\u00e9 d\u00edky vysok\u00e9 odolnosti za v\u0161ech podm\u00ednek prost\u0159ed\u00ed a schopnosti odol\u00e1vat mechanick\u00e9mu nam\u00e1h\u00e1n\u00ed.<\/p>\n<h2>Hustota<\/h2>\n<p>Hlin\u00edk je mimo\u0159\u00e1dn\u011b pevn\u00fd materi\u00e1l s extr\u00e9mn\u011b vysok\u00fdm Youngov\u00fdm modulem, kter\u00fd odol\u00e1v\u00e1 mechanick\u00e9mu nam\u00e1h\u00e1n\u00ed, tak\u017ee je vhodn\u00fd k ochran\u011b jin\u00fdch materi\u00e1l\u016f p\u0159ed vibracemi a r\u00e1zov\u00fdmi vlnami, kter\u00e9 je po\u0161kozuj\u00ed. Bohu\u017eel v\u0161ak jeho hustota nedosahuje hustoty oceli a titanu, co\u017e omezuje jeho pou\u017eitelnost v aplikac\u00edch, kde hraje d\u016fle\u017eitou roli hmotnost; tato ni\u017e\u0161\u00ed hustota nav\u00edc zvy\u0161uje n\u00e1klady ve srovn\u00e1n\u00ed s konkuren\u010dn\u00edmi kovy.<\/p>\n<p>Hustota oxidu hlinit\u00e9ho se m\u016f\u017ee pohybovat od 2,1 do 3,5 g cm-3 v z\u00e1vislosti na jeho krystalick\u00e9 struktu\u0159e a f\u00e1zi, nej\u010dast\u011bji hexagon\u00e1ln\u00ed alfa f\u00e1zi, kter\u00e1 se vyzna\u010duje vysok\u00fdm Youngov\u00fdm modulem, n\u00edzkou tepelnou rozta\u017enost\u00ed a vynikaj\u00edc\u00edmi vlastnostmi \u017e\u00e1ruvzdornosti. Krom\u011b toho m\u00e1 oxid hlinit\u00fd ve f\u00e1zi alfa dobr\u00e9 elektrick\u00e9 vlastnosti i chemickou odolnost, tak\u017ee je vhodn\u00fd pro mnoho pou\u017eit\u00ed v\u010detn\u011b pevnostn\u00edch aplikac\u00ed.<\/p>\n<p>Molekul\u00e1rn\u011b dynamick\u00e9 simulace uk\u00e1zaly, \u017ee modul pru\u017enosti por\u00e9zn\u00edho oxidu hlinit\u00e9ho z\u00e1vis\u00ed na jeho lok\u00e1ln\u00ed atomov\u00e9 konfiguraci, kter\u00e1 je ur\u010dena p\u00e1rov\u00fdmi radi\u00e1ln\u00edmi distribu\u010dn\u00edmi funkcemi, rozlo\u017een\u00edm vazebn\u00fdch \u00fahl\u016f a simplexovou statistikou. D\u00e1le lze pomoc\u00ed t\u011bchto vlastnost\u00ed z\u00edskat matematick\u00e9 v\u00fdrazy pro hustotu oxidu hlinit\u00e9ho.<\/p>\n<p>Jednou z nejspolehliv\u011bj\u0161\u00edch metod m\u011b\u0159en\u00ed Youngova modulu je tahov\u00e1 zkou\u0161ka. P\u0159i t\u00e9to metod\u011b je vzorek vystaven postupn\u011b se zvy\u0161uj\u00edc\u00edmu tahu, dokud nen\u00ed dosa\u017eeno meze pru\u017enosti; po celou dobu se m\u011b\u0159\u00ed s\u00edla a pr\u016fhyb, kter\u00e9 se vykresl\u00ed na k\u0159ivku nap\u011bt\u00ed a deformace; jej\u00ed sklon n\u00e1m umo\u017e\u0148uje vypo\u010d\u00edtat Young\u016fv modul.<\/p>\n<p>K p\u0159esn\u00e9mu vyhodnocen\u00ed Youngova modulu materi\u00e1l\u016f z oxidu hlinit\u00e9ho lze pou\u017e\u00edt tak\u00e9 instrument\u00e1ln\u00ed nanoindentaci, zkou\u0161ky ot\u00e1\u010den\u00edm ukazatele a m\u011b\u0159en\u00ed pr\u016fhybu, proto\u017ee poskytuj\u00ed v\u00fdsledky bez po\u0161kozen\u00ed vzork\u016f; tyto techniky jsou zvl\u00e1\u0161t\u011b v\u00fdhodn\u00e9 p\u0159i vyhodnocov\u00e1n\u00ed por\u00e9zn\u00edch materi\u00e1l\u016f, kde se hodnoty p\u00f3rovitosti a Youngova modulu mohou u jednotliv\u00fdch vzork\u016f zna\u010dn\u011b li\u0161it.<\/p>\n<h2>Poisson\u016fv pom\u011br<\/h2>\n<p>Poisson\u016fv pom\u011br m\u011b\u0159\u00ed, jak moc se materi\u00e1l p\u0159i deformaci rozp\u00edn\u00e1, co\u017e je z\u00e1sadn\u00ed vstup do model\u016f kone\u010dn\u00fdch prvk\u016f, kter\u00e9 vy\u017eaduj\u00ed p\u0159esn\u00e9 m\u011b\u0159en\u00ed deformace. K tomuto m\u011b\u0159en\u00ed mohou pomoci tenzometry namontovan\u00e9 p\u0159\u00edmo na vzorky nebo kontaktn\u00ed extenzometry s n\u011bkolika jednoos\u00fdmi nebo dvouos\u00fdmi extenzometry a tak\u00e9 bezkontaktn\u00ed laserov\u00e9 extenzometry.<\/p>\n<p>Poisson\u016fv pom\u011br m\u011b\u0159\u00ed m\u00edru, do jak\u00e9 se materi\u00e1ly p\u0159i oh\u00fdb\u00e1n\u00ed do kruhov\u00fdch tvar\u016f rozp\u00ednaj\u00ed pod tlakem v jednom sm\u011bru; pokud k tomu dojde, m\u016f\u017ee se jejich st\u0159ed jevit mnohem siln\u011bj\u0161\u00ed ne\u017e okraje. Poisson\u016fv pom\u011br nav\u00edc slou\u017e\u00ed jako efektivn\u00ed m\u011b\u0159\u00edtko jejich sm\u011brov\u00e9 pevnosti, co\u017e se m\u016f\u017ee uk\u00e1zat jako neoceniteln\u00e9 p\u0159i navrhov\u00e1n\u00ed konstrukc\u00ed letadel nebo kosmick\u00fdch lod\u00ed.<\/p>\n<p>D\u00edky vysok\u00e9mu Youngovu modulu je oxid hlinit\u00fd vynikaj\u00edc\u00edm materi\u00e1lem pro mnoho stroj\u00edrensk\u00fdch aplikac\u00ed, v\u010detn\u011b odolnosti proti tuhosti bez lom\u016f a absorpce r\u00e1zov\u00fdch vln pro sn\u00ed\u017een\u00ed po\u0161kozen\u00ed mechanick\u00fdch syst\u00e9m\u016f. Krom\u011b toho je d\u00edky sv\u00e9 odolnosti v\u016f\u010di hydroterm\u00e1ln\u00edmu st\u00e1rnut\u00ed a n\u00edzk\u00e9 energii lomu oxid hlinit\u00fd vynikaj\u00edc\u00ed volbou materi\u00e1lu i v l\u00e9ka\u0159stv\u00ed.<\/p>\n<p>Jeho vysok\u00fd Young\u016fv modul v\u0161ak tak\u00e9 znamen\u00e1, \u017ee nen\u00ed tak plastick\u00fd jako jin\u00e9 materi\u00e1ly a p\u0159i zat\u00ed\u017een\u00ed v tlaku nebo tahu se t\u00e9m\u011b\u0159 okam\u017eit\u011b l\u00e1me, tak\u017ee oxid hlinit\u00fd nen\u00ed vhodn\u00fd pro aplikace vy\u017eaduj\u00edc\u00ed plasticitu, jako jsou konstruk\u010dn\u00ed sou\u010d\u00e1sti nebo \u0159ezn\u00e9 n\u00e1stroje.<\/p>\n<p>In\u017een\u00fd\u0159i zkoumaj\u00ed r\u016fzn\u00e9 zp\u016fsoby, jak zv\u00fd\u0161it Young\u016fv modul oxidu hlinit\u00e9ho, aby optimalizovali jeho v\u00fdkon. Jedna z technik zahrnuje zv\u00fd\u0161en\u00ed hustoty p\u0159id\u00e1n\u00edm oxidu k\u0159emi\u010dit\u00e9ho nebo zirkonia. Jin\u00fd p\u0159\u00edstup vyu\u017e\u00edv\u00e1 nov\u00fd proces synt\u00e9zy, kter\u00fd produkuje syntetick\u00fd g-hlin\u00edk s ni\u017e\u0161\u00ed p\u00f3rovitost\u00ed a zv\u00fd\u0161en\u00edm Youngova modulu ne\u017e jeho tradi\u010dn\u00ed sp\u00e9kac\u00ed techniky, p\u0159i\u010dem\u017e vykazuje v\u011bt\u0161\u00ed odolnost proti po\u0161kozen\u00ed tepeln\u00fdm \u0161okem ne\u017e tradi\u010dn\u00ed metody, jako jsou tradi\u010dn\u00ed sp\u00e9kac\u00ed techniky. Pru\u017en\u00e9 vlastnosti oxidu hlinit\u00e9ho lze nav\u00edc p\u0159esn\u011b charakterizovat pomoc\u00ed nedestruktivn\u00edch zku\u0161ebn\u00edch metod, jako jsou Sonelastic Systems, kter\u00e9 p\u0159esn\u011b charakterizuj\u00ed pru\u017en\u00e9 vlastnosti p\u0159i pokojov\u00fdch teplot\u00e1ch i p\u0159i n\u00edzk\u00fdch nebo vysok\u00fdch teplot\u00e1ch.<\/p>\n<h2>Teplota<\/h2>\n<p>Young\u016fv modul oxidu hlinit\u00e9ho je neoceniteln\u00fdm m\u011b\u0159\u00edtkem jeho pevnosti a odolnosti proti deformaci a tak\u00e9 toho, kolik energie m\u016f\u017ee absorbovat, ne\u017e se zlom\u00ed. In\u017een\u00fd\u0159i tuto hodnotu hojn\u011b vyu\u017e\u00edvaj\u00ed p\u0159i v\u00fdvoji pevn\u011bj\u0161\u00edch a z\u00e1rove\u0148 leh\u010d\u00edch materi\u00e1l\u016f - vy\u0161\u0161\u00ed Young\u016fv modul toti\u017e znamen\u00e1 tu\u017e\u0161\u00ed vlastnosti materi\u00e1lu.<\/p>\n<p>Young\u016fv modul oxidu hlinit\u00e9ho se m\u011bn\u00ed s teplotou v d\u016fsledku zm\u011bn hustoty, kter\u00e9 ovliv\u0148uj\u00ed jeho elastick\u00e9 vlastnosti; nav\u00edc tento aspekt jeho vlastnost\u00ed ovliv\u0148uje tak\u00e9 mikrostruktura a chemick\u00e9 slo\u017een\u00ed.<\/p>\n<p>Young\u016fv modul oxidu hlinit\u00e9ho m\u016f\u017ee b\u00fdt tak\u00e9 ovlivn\u011bn jeho \u010distotou. Vy\u0161\u0161\u00ed stupe\u0148 \u010distoty zvy\u0161uje hustotu a zlep\u0161uje mechanick\u00e9 vlastnosti materi\u00e1lu, co\u017e m\u00e1 vliv na Young\u016fv modul.<\/p>\n<p>Young\u016fv modul se zvy\u0161uje s rostouc\u00ed \u00farovn\u00ed \u010distoty keramiky; jeho vliv se v\u0161ak p\u0159i vysok\u00fdch teplot\u00e1ch sni\u017euje; proto by se v p\u0159\u00edpad\u011b pot\u0159eby odolnosti v\u016f\u010di vysok\u00fdm teplot\u00e1m m\u011bly up\u0159ednost\u0148ovat nekrystalick\u00e9 materi\u00e1ly.<\/p>\n<p>Hlin\u00edk se m\u016f\u017ee pochlubit vysok\u00fdm Youngov\u00fdm modulem, co\u017e z n\u011bj \u010din\u00ed vynikaj\u00edc\u00ed konstruk\u010dn\u00ed materi\u00e1l pro aplikace vy\u017eaduj\u00edc\u00ed vysokou odolnost proti tepeln\u00fdm \u0161ok\u016fm. Zejm\u00e9na \u0161estihrann\u00fd oxid hlinit\u00fd odol\u00e1v\u00e1 extr\u00e9mn\u00edm podm\u00ednk\u00e1m prost\u0159ed\u00ed a z\u00e1rove\u0148 m\u00e1 n\u00edzkou teplotu t\u00e1n\u00ed - tyto vlastnosti \u010din\u00ed \u0161estihrann\u00fd oxid hlinit\u00fd obzvl\u00e1\u0161t\u011b vhodn\u00fdm pro leteck\u00e9 a kosmick\u00e9 stroj\u00edrensk\u00e9 aplikace.<\/p>\n<p>Young\u016fv modul v pr\u00e1\u0161kov\u00e9m oxidu hlinit\u00e9m m\u016f\u017ee b\u00fdt tak\u00e9 ovlivn\u011bn teplotou, slo\u017een\u00edm slitiny a krystalovou strukturou. Nap\u0159\u00edklad p\u0159id\u00e1n\u00ed leguj\u00edc\u00edch prvk\u016f m\u016f\u017ee zm\u011bnit jeho mezimolekul\u00e1rn\u00ed vazebn\u00e9 uspo\u0159\u00e1d\u00e1n\u00ed. Proto je velmi d\u016fle\u017eit\u00e9, aby \u010dlov\u011bk t\u011bmto faktor\u016fm porozum\u011bl p\u0159ed pou\u017eit\u00edm tohoto materi\u00e1lu pro konkr\u00e9tn\u00ed aplikaci.<\/p>\n<p>Nanoindentace nab\u00edz\u00ed jeden z p\u0159\u00edstup\u016f k m\u011b\u0159en\u00ed Youngova modulu pr\u00e1\u0161kov\u00e9ho oxidu hlinit\u00e9ho. Tato metoda vy\u017eaduje men\u0161\u00ed velikost vzorku a poskytuje distribu\u010dn\u00ed k\u0159ivky \u010dast\u011bji ne\u017e tradi\u010dn\u00ed tahov\u00e9 zkou\u0161ky.<\/p>\n<p>Impulsn\u00ed buzen\u00ed bylo pou\u017eito ke zkoum\u00e1n\u00ed teplotn\u00ed z\u00e1vislosti Youngova modulu a tlumen\u00ed oxidu hlinit\u00e9ho, p\u0159i\u010dem\u017e byly sledov\u00e1ny zm\u011bny u \u010d\u00e1ste\u010dn\u011b slinut\u00fdch vzork\u016f zah\u0159\u00e1t\u00fdch od pokojov\u00e9 teploty do 1600 \u00b0C. V\u00fdsledky uk\u00e1zaly, \u017ee jeho Young\u016fv modul s rostouc\u00ed teplotou plynule roste podle ide\u00e1ln\u00ed hlavn\u00ed k\u0159ivky.<\/p>\n<h2>Ultrazvukov\u00e9 m\u011b\u0159en\u00ed<\/h2>\n<p>Hlin\u00edk se m\u016f\u017ee pochlubit vysok\u00fdm Youngov\u00fdm modulem, tak\u017ee je vhodn\u00fd pro \u0159adu aplikac\u00ed. Jeho k\u0159ehkost ho v\u0161ak bohu\u017eel diskvalifikuje pro aplikace, kter\u00e9 vy\u017eaduj\u00ed plasticitu, jako jsou konstruk\u010dn\u00ed prvky a \u0159ezn\u00e9 n\u00e1stroje; nav\u00edc p\u0159i zat\u00ed\u017een\u00ed v tlaku a tahu selh\u00e1v\u00e1 okam\u017eit\u011b, m\u00edsto aby se postupn\u011b deformoval v \u010dase.<\/p>\n<p>Byla vytvo\u0159ena nedestruktivn\u00ed metoda m\u011b\u0159en\u00ed elastick\u00fdch konstant kovov\u00fdch slitin zalo\u017een\u00e1 na ultrazvuku. Pomoc\u00ed digit\u00e1ln\u00ed korela\u010dn\u00ed techniky byl navr\u017een nov\u00fd nedestruktivn\u00ed zp\u016fsob z\u00edsk\u00e1v\u00e1n\u00ed Poissonova pom\u011bru a modulu pru\u017enosti pomoc\u00ed vibrac\u00ed vzork\u016f - tento zp\u016fsob vy\u017eaduje podstatn\u011b men\u0161\u00ed velikost vzork\u016f ne\u017e konven\u010dn\u00ed tahov\u00e9 zkou\u0161ky, ale poskytuje distribu\u010dn\u00ed k\u0159ivky s v\u011bt\u0161\u00ed pravidelnost\u00ed ne\u017e jin\u00e9 techniky.<\/p>\n<p>Young\u016fv modul oxidu hlinit\u00e9ho je ur\u010den t\u00edm, jak se m\u011bn\u00ed meziatomov\u00e9 s\u00edly v z\u00e1vislosti na vzd\u00e1lenosti. Krom\u011b toho hraje z\u00e1sadn\u00ed roli \u00farove\u0148 jeho \u010distoty; v\u00fdzkum ukazuje, \u017ee Young\u016fv modul line\u00e1rn\u011b koreluje s \u00farovn\u00ed \u010distoty (viz obr\u00e1zek 4.8).<\/p>\n<p>V tomto v\u00fdzkumu byl Young\u016fv modul oxidu hlinit\u00e9ho stanoven pomoc\u00ed ultrazvuku s konverz\u00ed m\u00f3du ve skenovac\u00edm akustick\u00e9m mikroskopu (SAM). Byly zachyceny pod\u00e9ln\u00e9 a smykov\u00e9 vlny uvnit\u0159 vzorku oxidu hlinit\u00e9ho, aby bylo mo\u017en\u00e9 vypo\u010d\u00edtat rychlost vln\u011bn\u00ed a stanovit elastickou konstantu tohoto materi\u00e1lu. Tuto vysoce citlivou a z\u00e1rove\u0148 p\u0159esnou techniku lze pou\u017e\u00edt p\u0159i r\u016fzn\u00fdch teplot\u00e1ch prost\u0159ed\u00ed k vyhodnocen\u00ed vlastnost\u00ed tohoto materi\u00e1lu.<\/p>\n<p>Teplota, slo\u017een\u00ed a krystalick\u00e1 struktura maj\u00ed vliv na Young\u016fv modul oxidu hlinit\u00e9ho; jeho elastick\u00e9 vlastnosti nav\u00edc z\u00e1vis\u00ed na dal\u0161\u00edch materi\u00e1lech, jako jsou \u010d\u00e1stice karbidu k\u0159em\u00edku (SiC), kter\u00e9 zvy\u0161uj\u00ed Young\u016fv modul v\u00edce ne\u017e desetkr\u00e1t. Experiment\u00e1ln\u00ed data byla n\u00e1sledn\u011b porovn\u00e1na s v\u00fdsledky simulac\u00ed a teoretick\u00fdmi modely, aby bylo mo\u017en\u00e9 ur\u010dit vlastn\u00ed hodnotu Youngova modulu.<\/p>\n<p>Byly provedeny nedestruktivn\u00ed studie modul\u016f pru\u017enosti vysoce hlinit\u00fdch odlitk\u016f od pokojov\u00e9 teploty do 1600 stup\u0148\u016f Celsia, p\u0159i\u010dem\u017e byly sledov\u00e1ny zm\u011bny Youngova modulu a Poissonova pom\u011bru s rostouc\u00ed teplotou. Dal\u0161\u00ed experimenty zahrnovaly kvantitativn\u00ed rentgenovou difrakci, dilatometrii a m\u011b\u0159en\u00ed plochy povrchu, aby se tato zkoum\u00e1n\u00ed doplnila. V\u00fdsledky ukazuj\u00ed, \u017ee Poisson\u016fv pom\u011br s rostouc\u00ed teplotou postupn\u011b kles\u00e1, ale po dosa\u017een\u00ed p\u016fvodn\u00ed teploty v\u00fdpalu prudce stoup\u00e1 v d\u016fsledku pokra\u010duj\u00edc\u00edho sp\u00e9k\u00e1n\u00ed, kter\u00e9 vede k n\u00e1hl\u00e9mu zv\u00fd\u0161en\u00ed Youngova modulu.<\/p>","protected":false},"excerpt":{"rendered":"<p>Young&#8217;s modulus of alumina is an essential material property that enables engineers to design structures capable of withstanding external stress. 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