{"id":100,"date":"2024-06-07T04:13:48","date_gmt":"2024-06-06T20:13:48","guid":{"rendered":"https:\/\/aluminaceramics.net\/?p=100"},"modified":"2024-07-15T20:15:13","modified_gmt":"2024-07-15T12:15:13","slug":"younguv-modul-oxidu-hliniteho-2","status":"publish","type":"post","link":"https:\/\/aluminaceramics.net\/cs\/youngs-modulus-of-alumina\/","title":{"rendered":"Young\u016fv modul oxidu hlinit\u00e9ho"},"content":{"rendered":"<p>Young\u016fv modul je neoceniteln\u00fdm m\u011b\u0159\u00edtkem pro nedestruktivn\u00ed testov\u00e1n\u00ed \u017e\u00e1rovzdorn\u00fdch materi\u00e1l\u016f a slou\u017e\u00ed jako indik\u00e1tor mikrostrukturn\u00edho in\u017een\u00fdrstv\u00ed t\u011bchto \u017e\u00e1rovzdorn\u00fdch materi\u00e1l\u016f.<\/p>\n<p>Ke studiu tern\u00e1rn\u00edho syst\u00e9mu slo\u017een\u00e9ho z oxidu hlinit\u00e9ho-ZrO2-YAG byla pou\u017eita skenovac\u00ed transmisn\u00ed elektronov\u00e1 mikroskopie (STEM). Zejm\u00e9na jsme podrobn\u011b charakterizovali druhou f\u00e1zi nach\u00e1zej\u00edc\u00ed se pod\u00e9l hranic zrn oxidu hlinit\u00e9ho a mezi jednotliv\u00fdmi zrny pomoc\u00ed SEM zobrazen\u00ed.<\/p>\n<h2>Young\u016fv modul<\/h2>\n<p>In\u017een\u00fd\u0159i vyu\u017e\u00edvaj\u00ed Young\u016fv modul k posouzen\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 jim pom\u00e1h\u00e1 vytv\u00e1\u0159et konstrukce, kter\u00e9 odol\u00e1vaj\u00ed vn\u011bj\u0161\u00edm sil\u00e1m, ani\u017e by se rozpadly nebo rozpadly. V\u00fdpo\u010det Youngova modulu vy\u017eaduje p\u0159esn\u00e1 m\u011b\u0159en\u00ed, znalost mechaniky pru\u017enosti a p\u0159esn\u00fd zp\u016fsob, jak p\u0159edpov\u011bd\u011bt, jak materi\u00e1ly reaguj\u00ed p\u0159i nam\u00e1h\u00e1n\u00ed.<\/p>\n<p>Zkou\u0161ka tahem je nejpou\u017e\u00edvan\u011bj\u0161\u00edm zp\u016fsobem m\u011b\u0159en\u00ed Youngova modulu. Vzorek materi\u00e1lu je vystaven postupn\u011b se zvy\u0161uj\u00edc\u00edmu tahov\u00e9mu nam\u00e1h\u00e1n\u00ed, dokud nen\u00ed dosa\u017eeno meze pru\u017enosti; m\u011b\u0159en\u00ed s\u00edly a pr\u016fhybu v ka\u017ed\u00e9m bod\u011b tohoto procesu se pak zaznamen\u00e1v\u00e1 a pot\u00e9 se vykresl\u00ed do k\u0159ivky nap\u011bt\u00ed a deformace, p\u0159i\u010dem\u017e sklon pru\u017en\u00e9 oblasti p\u0159edstavuje Young\u016fv modul materi\u00e1lu.<\/p>\n<p>Young\u016fv modul lze m\u011b\u0159it i r\u016fzn\u00fdmi jin\u00fdmi zp\u016fsoby. Jednou z takov\u00fdch technik je nanoindentace, kter\u00e1 se \u010dasto pou\u017e\u00edv\u00e1 k charakterizaci mechanick\u00fdch vlastnost\u00ed v mikro- a nanorozm\u011brech; tyto testy v\u0161ak vy\u017eaduj\u00ed zku\u0161ebn\u00ed za\u0159\u00edzen\u00ed s vysok\u00fdm rozli\u0161en\u00edm a tak\u00e9 specifick\u00e9 n\u00e1stroje pro p\u0159\u00edpravu vzork\u016f k anal\u00fdze.<\/p>\n<p>Jednou z v\u00fdhod pou\u017eit\u00ed nanoindentace k m\u011b\u0159en\u00ed Youngova modulu jsou men\u0161\u00ed po\u017eadavky na vzorek ne\u017e u tradi\u010dn\u00edch tahov\u00fdch zkou\u0161ek, d\u00edky \u010demu\u017e vznikaj\u00ed rozd\u011blen\u00ed s pravideln\u011bj\u0161\u00edmi k\u0159ivkami rozd\u011blen\u00ed, kter\u00e9 umo\u017e\u0148uj\u00ed p\u0159esn\u011bj\u0161\u00ed statistick\u00e9 korekce, ne\u017e je mo\u017en\u00e9 u rozd\u011blen\u00ed v pln\u00e9m m\u011b\u0159\u00edtku.<\/p>\n<p>Young\u016fv modul pro hlin\u00edk byl dob\u0159e stanoven na z\u00e1klad\u011b experiment\u00e1ln\u00edch m\u011b\u0159en\u00ed a teoretick\u00fdch v\u00fdpo\u010dt\u016f a tuto hodnotu lze pou\u017e\u00edt jako srovn\u00e1vac\u00ed bod p\u0159i v\u00fdpo\u010dtech nebo experiment\u00e1ln\u00edch m\u011b\u0159en\u00edch. Zm\u011bny Youngova modulu mohou b\u00fdt zp\u016fsobeny faktory, jako je teplota, slo\u017een\u00ed slitiny, krystalov\u00e1 struktura nebo v\u00fdrobn\u00ed procesy - nap\u0159\u00edklad p\u0159id\u00e1n\u00ed leguj\u00edc\u00edch prvk\u016f m\u016f\u017ee zm\u011bnit uspo\u0159\u00e1d\u00e1n\u00ed mezimolekul\u00e1rn\u00ed vazby, a t\u00edm i mechanick\u00e9 vlastnosti.<\/p>\n<h2>Poisson\u016fv pom\u011br<\/h2>\n<p>Poisson\u016fv pom\u011br je materi\u00e1lov\u00e1 vlastnost, kter\u00e1 m\u011b\u0159\u00ed vztah mezi pod\u00e9lnou a p\u0159\u00ed\u010dnou deformac\u00ed. Jeho hodnota se m\u011bn\u00ed v z\u00e1vislosti na typu deformace; p\u0159i deformaci v tahu je kladn\u00e1, zat\u00edmco p\u0159i deformaci v tlaku m\u016f\u017ee b\u00fdt z\u00e1porn\u00e1. A\u010dkoli hodnoty Poissonova pom\u011bru maj\u00ed tendenci z\u016fst\u00e1vat v r\u016fzn\u00fdch materi\u00e1lech st\u00e1l\u00e9, jejich hodnoty se mohou mezi materi\u00e1ly v\u00fdrazn\u011b m\u011bnit; tento jev je obzvl\u00e1\u0161t\u011b patrn\u00fd u kov\u016f a slitin, kter\u00e9 \u010dasto vykazuj\u00ed velk\u00e9 rozd\u00edly v hodnot\u00e1ch Poissonova pom\u011bru.<\/p>\n<p>Poisson\u016fv pom\u011br se obvykle sni\u017euje s rostouc\u00ed hustotou v d\u016fsledku zm\u011bn v bun\u011b\u010dn\u00e9 struktu\u0159e materi\u00e1lu, kter\u00e9 m\u011bn\u00ed tvar a velikost p\u00f3r\u016f, co\u017e ovliv\u0148uje Poisson\u016fv pom\u011br. Hustota nav\u00edc m\u011bn\u00ed rozlo\u017een\u00ed p\u00f3r\u016f i jejich velikostn\u00ed rozlo\u017een\u00ed; na tento proces m\u00e1 vliv i zahu\u0161\u0165ov\u00e1n\u00ed. Mnoho studi\u00ed zkoumalo tento vztah pomoc\u00ed r\u016fzn\u00fdch vibra\u010dn\u00edch metod, jako je m\u011b\u0159en\u00ed rezonan\u010dn\u00edch frekvenc\u00ed s vysokou p\u0159esnost\u00ed - p\u0159esn\u00e9 m\u011b\u0159en\u00ed, kter\u00e9 umo\u017e\u0148uje v\u00fdpo\u010dty elastick\u00fdch vlastnost\u00ed vzork\u016f.<\/p>\n<p>Tyto v\u00fdpo\u010dty lze prov\u00e1d\u011bt pomoc\u00ed nedestruktivn\u00ed techniky, kter\u00e1 se naz\u00fdv\u00e1 ultrazvukov\u00e9 m\u011b\u0159en\u00ed. Ta spo\u010d\u00edv\u00e1 v tom, \u017ee se na vzorek poklep\u00e1v\u00e1 projektilem a zaznamen\u00e1v\u00e1 se jeho vibra\u010dn\u00ed sign\u00e1l pro anal\u00fdzu, aby se zjistily rychlosti pod\u00e9ln\u00fdch a p\u0159\u00ed\u010dn\u00fdch akustick\u00fdch vln; tyto informace se pak pou\u017eij\u00ed k v\u00fdpo\u010dtu Youngova modulu materi\u00e1lu vzorku na z\u00e1klad\u011b t\u00e9to metody anal\u00fdzy - v\u017edy se tak z\u00edskaj\u00ed konzistentn\u00ed a p\u0159esn\u00e9 v\u00fdsledky.<\/p>\n<p>Young\u016fv modul pro oxid hlinit\u00fd lze vysv\u011btlit pomoc\u00ed jeho hustoty a Poissonova pom\u011bru, co\u017e jsou dva hlavn\u00ed prvky jeho elastick\u00e9ho chov\u00e1n\u00ed. Hlin\u00edk m\u00e1 d\u00edky sv\u00e9 mikrostruktu\u0159e n\u00edzk\u00fd Poisson\u016fv pom\u011br; v d\u016fsledku toho se jeho elastick\u00e9 vlastnosti zvy\u0161uj\u00ed s rostouc\u00ed hustotou; jeho Young\u016fv modul v\u0161ak z\u016fst\u00e1v\u00e1 ni\u017e\u0161\u00ed ne\u017e u srovnateln\u00fdch kov\u016f.<\/p>\n<p>Poisson\u016fv pom\u011br v oxidu hlinit\u00e9m je citliv\u00fd na jeho teplotu. Zat\u00edmco se zvy\u0161uj\u00edc\u00ed se teplotou kles\u00e1, po dosa\u017een\u00ed teploty v\u00fdpalu prudce stoup\u00e1 zp\u011bt v d\u016fsledku pokra\u010duj\u00edc\u00edho sp\u00e9k\u00e1n\u00ed p\u0159i t\u00e9to teplot\u011b, co\u017e vede k n\u00e1hl\u00e9mu zv\u00fd\u0161en\u00ed Youngova modulu. Bohu\u017eel jeho p\u0159esn\u00fd vztah ke zm\u011bn\u00e1m teploty z\u016fst\u00e1v\u00e1 kv\u016fli r\u016fzn\u00fdm vliv\u016fm, kter\u00e9 na n\u011bj p\u016fsob\u00ed, nedostate\u010dn\u011b pochopen.<\/p>\n<h2>Modul pru\u017enosti<\/h2>\n<p>Modul pru\u017enosti je ned\u00edlnou vlastnost\u00ed pevn\u00fdch materi\u00e1l\u016f. Popisuje, k jak velk\u00e9 deformaci doch\u00e1z\u00ed p\u0159i tahu nebo tlaku, p\u0159i\u010dem\u017e tuh\u00e9 materi\u00e1ly maj\u00ed vy\u0161\u0161\u00ed moduly pru\u017enosti ne\u017e pru\u017en\u00e9; m\u011b\u0159en\u00ed modulu pru\u017enosti, zn\u00e1m\u00e9ho tak\u00e9 jako modul pru\u017enosti v tahu\/tahu nebo modul pru\u017enosti v deformaci, lze prov\u00e9st tak, \u017ee se zm\u011b\u0159\u00ed nap\u011bt\u00ed zp\u016fsoben\u00e9 deformac\u00ed p\u0159i konstantn\u00edm zat\u00ed\u017een\u00ed a pot\u00e9 se vyd\u011bl\u00ed deformac\u00ed, \u010d\u00edm\u017e se z\u00edsk\u00e1 jeho hodnota - z\u00edsk\u00e1 se hodnota modulu pru\u017enosti.<\/p>\n<p>Tuhost, opak modulu pru\u017enosti, m\u011b\u0159\u00ed, jak velk\u00e1 s\u00edla p\u016fsob\u00ed p\u0159i nam\u00e1h\u00e1n\u00ed. In\u017een\u00fd\u0159i tuto vlastnost materi\u00e1l\u016f pou\u017e\u00edvaj\u00ed k ur\u010den\u00ed jejich \u00fanosnosti a k proveden\u00ed pot\u0159ebn\u00fdch \u00faprav; jej\u00ed hodnota m\u016f\u017ee z\u00e1viset na faktorech, jako je tlou\u0161\u0165ka a vlastnosti materi\u00e1lu.<\/p>\n<p>Siln\u011bj\u0161\u00ed hlin\u00edkov\u00e9 desky budou m\u00edt ni\u017e\u0161\u00ed tuhost, ale stejn\u00e9 hodnoty Youngova modulu, proto\u017ee siln\u011bj\u0161\u00ed materi\u00e1ly jsou odoln\u011bj\u0161\u00ed v\u016f\u010di deformaci p\u0159i nam\u00e1h\u00e1n\u00ed a maj\u00ed v\u011bt\u0161\u00ed povrch, tak\u017ee pro vyvol\u00e1n\u00ed deformace v dan\u00e9m bod\u011b je t\u0159eba vyvinout v\u011bt\u0161\u00ed nap\u011bt\u00ed.<\/p>\n<p>Moduly pru\u017enosti lze porovnat pomoc\u00ed n\u00e1sleduj\u00edc\u00ed rovnice: E (T) = b(ph(T)) 6(k B T), kde ph-g p\u0159edstavuje elektronovou pracovn\u00ed funkci p\u0159i T a b je hustota materi\u00e1lu.<\/p>\n<p>Hlin\u00edk je keramika odoln\u00e1 proti ot\u011bru s vysok\u00fdm modulem pru\u017enosti, kter\u00fd lze charakterizovat pomoc\u00ed t\u0159\u00edbodov\u00fdch a \u010dty\u0159bodov\u00fdch ohybov\u00fdch zkou\u0161ek. V t\u00e9to studii byla pou\u017eita numericko-experiment\u00e1ln\u00ed korelace k p\u0159edpov\u011bdi vlastn\u00edho Youngova modulu povlaku oxidu hlinit\u00e9ho nanesen\u00e9ho na hlin\u00edkov\u00fd substr\u00e1t a byla zji\u0161t\u011bna vynikaj\u00edc\u00ed shoda mezi jeho experiment\u00e1ln\u00edmi a p\u0159edpov\u011bzen\u00fdmi hodnotami. Krom\u011b toho se uk\u00e1zalo, \u017ee tlakov\u00e9 nam\u00e1h\u00e1n\u00ed je u v\u011bt\u0161iny aplikac\u00ed vyu\u017e\u00edvaj\u00edc\u00edch povlaky z oxidu hlinit\u00e9ho siln\u011bj\u0161\u00ed ne\u017e nam\u00e1h\u00e1n\u00ed v tahu; to nazna\u010duje \u00fasp\u011b\u0161n\u011bj\u0161\u00ed proveden\u00ed.<\/p>\n<h2>Modul pevnosti v tahu<\/h2>\n<p>Vysok\u00fd Young\u016fv modul oxidu hlinit\u00e9ho jej ozna\u010duje za tuh\u00fd materi\u00e1l odoln\u00fd v\u016f\u010di deformaci, zat\u00edmco jeho neplasticita a nedostatek meze kluzu jej \u010din\u00ed nevhodn\u00fdm pro aplikace, kter\u00e9 vy\u017eaduj\u00ed plasticitu, jako jsou konstruk\u010dn\u00ed sou\u010d\u00e1sti a \u0159ezn\u00e9 n\u00e1stroje. M\u00edsto toho doch\u00e1z\u00ed k jeho selh\u00e1n\u00ed p\u0159i zat\u00ed\u017een\u00ed tlakem nebo tahem t\u00e9m\u011b\u0159 okam\u017eit\u011b, m\u00edsto aby se postupn\u011b deformoval a oslaboval v \u010dase. Kv\u016fli t\u00e9to vlastnosti je jeho k\u0159ehkost nevhodn\u00e1 pro pou\u017eit\u00ed, jako jsou konstruk\u010dn\u00ed sou\u010d\u00e1sti nebo \u0159ezn\u00e9 n\u00e1stroje, kter\u00e9 vy\u017eaduj\u00ed plasticitu.<\/p>\n<p>Hlin\u00edk lze kombinovat s polymery a v\u00fdrazn\u011b tak zv\u00fd\u0161it jejich tahov\u00e9 vlastnosti. Nap\u0159\u00edklad p\u0159id\u00e1n\u00edm 0,2% nanovl\u00e1ken oxidu hlinit\u00e9ho do epoxidov\u00e9ho kompozitu se zv\u00fd\u0161\u00ed jeho mez pevnosti v tahu ze 41 MPa na 71 MPa, proto\u017ee nanovl\u00e1kna oxidu hlinit\u00e9ho dod\u00e1vaj\u00ed tuhost a p\u016fsob\u00ed jako p\u0159irozen\u00e9 omezova\u010de \u0159et\u011bzc\u016f a tak\u00e9 se spojuj\u00ed s epoxidov\u00fdmi skupinami v \u0159et\u011bzc\u00edch polymer\u016f prost\u0159ednictv\u00edm sv\u00fdch epoxypropylov\u00fdch funk\u010dn\u00edch skupin, kter\u00e9 vytv\u00e1\u0159ej\u00ed pevn\u00e9 vazby mezi vl\u00e1kny a molekulami prysky\u0159ice.<\/p>\n<p>\u0160estihrann\u00fd oxid hlinit\u00fd je ide\u00e1ln\u00edm technick\u00fdm keramick\u00fdm materi\u00e1lem d\u00edky sv\u00e9mu vysok\u00e9mu Youngovu modulu a n\u00edzk\u00e9 teplotn\u00ed rozta\u017enosti, d\u00edky \u010demu\u017e je odoln\u00fd v\u016f\u010di mechanick\u00e9mu nam\u00e1h\u00e1n\u00ed za vysok\u00fdch teplot. Krom\u011b toho hexagon\u00e1ln\u00ed oxid hlinit\u00fd nab\u00edz\u00ed vynikaj\u00edc\u00ed vodivost a stabiln\u00ed v\u00fdkon v extr\u00e9mn\u00edch podm\u00ednk\u00e1ch prost\u0159ed\u00ed - tyto vlastnosti \u010din\u00ed z hexagon\u00e1ln\u00edho oxidu hlinit\u00e9ho vynikaj\u00edc\u00ed volbu pro elektrotechnick\u00e9 aplikace.<\/p>\n<p>Na rozd\u00edl od jin\u00fdch typ\u016f oxidu hlinit\u00e9ho m\u00e1 hexagon\u00e1ln\u00ed AlN extr\u00e9mn\u011b vysok\u00fd koeficient autodifuze, kter\u00fd zt\u011b\u017euje sp\u00e9k\u00e1n\u00ed tradi\u010dn\u00edmi metodami. Krom\u011b toho se tento materi\u00e1l m\u016f\u017ee pochlubit n\u00edzkou teplotou t\u00e1n\u00ed a vynikaj\u00edc\u00edmi vlastnostmi odolnosti proti tepeln\u00fdm \u0161ok\u016fm.<\/p>\n<p>Zkou\u0161ky sonelastick\u00fdch syst\u00e9m\u016f p\u0159i pokojov\u00e9 teplot\u011b a p\u0159i n\u00edzk\u00fdch a vysok\u00fdch teplot\u00e1ch umo\u017e\u0148uj\u00ed p\u0159esnou charakterizaci modul\u016f pru\u017enosti (Young\u016fv modul, smykov\u00fd modul a Poisson\u016fv pom\u011br) a tlumic\u00edch vlastnost\u00ed keramick\u00fdch materi\u00e1l\u016f, aby bylo mo\u017en\u00e9 p\u0159esn\u011b vyhodnotit jejich moduly pru\u017enosti (Young\u016fv modul, smykov\u00fd modul a Poisson\u016fv pom\u011br) a tlumic\u00ed charakteristiky - tyto vlastnosti jsou nezbytn\u00e9 p\u0159i navrhov\u00e1n\u00ed nov\u00fdch variant t\u011bchto materi\u00e1l\u016f pro nejr\u016fzn\u011bj\u0161\u00ed aplikace.<\/p>\n<p>B\u011bhem procesu sp\u00e9k\u00e1n\u00ed byly dynamicky m\u011b\u0159eny moduly pru\u017enosti oxidu hlinit\u00e9ho. P\u0159i ni\u017e\u0161\u00edch teplot\u00e1ch Young\u016fv modul line\u00e1rn\u011b klesal v d\u016fsledku \u010d\u00e1ste\u010dn\u00e9ho zhutn\u011bn\u00ed slinut\u00e9ho oxidu hlinit\u00e9ho; p\u0159i vy\u0161\u0161\u00edch teplot\u00e1ch v\u0161ak v d\u016fsledku dal\u0161\u00edho zhutn\u011bn\u00ed Young\u016fv modul rychle rostl v d\u016fsledku proces\u016f slinov\u00e1n\u00ed a zhut\u0148ov\u00e1n\u00ed; tento trend byl v souladu se statick\u00fdmi m\u011b\u0159en\u00edmi t\u00e9ho\u017e materi\u00e1lu p\u0159i pokojov\u00e9 teplot\u011b; podobn\u00e9 trendy vykazovaly tak\u00e9 smykov\u00fd modul a Poisson\u016fv pom\u011br.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-196\" src=\"https:\/\/aluminaceramics.net\/wp-content\/uploads\/2024\/06\/Youngs-Modulus-of-Alumina.jpg\" alt=\"Young\u016fv modul oxidu hlinit\u00e9ho\" width=\"800\" height=\"800\" srcset=\"https:\/\/aluminaceramics.net\/wp-content\/uploads\/2024\/06\/Youngs-Modulus-of-Alumina.jpg 800w, https:\/\/aluminaceramics.net\/wp-content\/uploads\/2024\/06\/Youngs-Modulus-of-Alumina-300x300.jpg 300w, https:\/\/aluminaceramics.net\/wp-content\/uploads\/2024\/06\/Youngs-Modulus-of-Alumina-150x150.jpg 150w, https:\/\/aluminaceramics.net\/wp-content\/uploads\/2024\/06\/Youngs-Modulus-of-Alumina-768x768.jpg 768w, https:\/\/aluminaceramics.net\/wp-content\/uploads\/2024\/06\/Youngs-Modulus-of-Alumina-12x12.jpg 12w\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" \/><\/p>","protected":false},"excerpt":{"rendered":"<p>Young&#8217;s modulus is an invaluable measure for nondestructive testing of refractory materials and serves as an indicator of microstructure engineering [&hellip;]<\/p>\n","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":"default","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":"default","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"set","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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