{"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":"aluminija-oksida-junga-modulis","status":"publish","type":"post","link":"https:\/\/aluminaceramics.net\/lv\/youngs-modulus-of-alumina\/","title":{"rendered":"Alum\u012bnija oks\u012bda Janga modulis"},"content":{"rendered":"<p>Jaunga modulis ir nenov\u0113rt\u0113jams r\u0101d\u012bt\u0101js ugunsiztur\u012bgo materi\u0101lu nedestrukt\u012bvajai p\u0101rbaudei un kalpo k\u0101 \u0161o ugunsiztur\u012bgo materi\u0101lu mikrostrukt\u016bras in\u017eenierijas indikators.<\/p>\n<p>Lai p\u0113t\u012btu alum\u012bnija oks\u012bda\u2013ZrO\u2082\u2013YAG tr\u012bskomponentu sist\u0113mu, tika izmantota sken\u0113jo\u0161\u0101 transmisijas elektronu mikroskopija (STEM). Konkr\u0113ti, izmantojot SEM att\u0113lveido\u0161anu, m\u0113s detaliz\u0113ti raksturoj\u0101m otro f\u0101zi, kas atrodas gar alum\u012bnija oks\u012bda graudu robe\u017e\u0101m un starp atsevi\u0161\u0137iem graudiem.<\/p>\n<h2>Jaunga modulis<\/h2>\n<p>In\u017eenieri izmanto Janga modu\u013cu, lai nov\u0113rt\u0113tu, cik lielu slodzi materi\u0101ls sp\u0113j iztur\u0113t, pirms tas neatgriezeniski deform\u0113jas vai saboj\u0101jas, un tas pal\u012bdz vi\u0146iem rad\u012bt konstrukcijas, kas iztur \u0101r\u0113j\u0101s slodzes, nepl\u012bstot vai nesabruksot. Janga modu\u013ca apr\u0113\u0137in\u0101\u0161anai nepiecie\u0161ami prec\u012bzi m\u0113r\u012bjumi, izpratne par elast\u012bg\u0101s meh\u0101nikas likumiem un prec\u012bza metode, k\u0101 prognoz\u0113t materi\u0101lu reakciju slodzes ietekm\u0113.<\/p>\n<p>Stiepes izm\u0113\u0123in\u0101jums ir visbie\u017e\u0101k izmantot\u0101 metode Janga modu\u013ca noteik\u0161anai. Materi\u0101la paraugs tiek pak\u013cauts pak\u0101peniski pieaugo\u0161ai stiepes slodzei, l\u012bdz tiek sasniegta t\u0101 elast\u012bbas robe\u017ea; p\u0113c tam tiek re\u0123istr\u0113ti sp\u0113ka un deform\u0101cijas m\u0113r\u012bjumi katr\u0101 procesa posm\u0101, un rezult\u0101ti tiek att\u0113loti slodzes\u2013deform\u0101cijas l\u012bkn\u0113, kuras elast\u012bg\u0101s zonas sl\u012bpums atspogu\u013co materi\u0101la Janga moduli.<\/p>\n<p>Jaunga modulu var noteikt ar\u012b ar da\u017e\u0101diem citiem pa\u0146\u0113mieniem. Nanoindent\u0101cija ir viena no \u0161\u0101d\u0101m metod\u0113m, ko bie\u017ei izmanto, lai raksturotu meh\u0101nisk\u0101s \u012bpa\u0161\u012bbas mikro- un nanom\u0113rog\u0101; tom\u0113r \u0161\u0101diem testiem ir nepiecie\u0161ama augstas iz\u0161\u0137irtsp\u0113jas test\u0113\u0161anas aparat\u016bra, k\u0101 ar\u012b speci\u0101li instrumenti paraugu sagatavo\u0161anai anal\u012bzei.<\/p>\n<p>Viena no nanoindent\u0101cijas izmanto\u0161anas priek\u0161roc\u012bb\u0101m Janga modu\u013ca m\u0113r\u012b\u0161anai ir tas, ka \u0161ai metodei nepiecie\u0161ami maz\u0101ki paraugi nek\u0101 tradicion\u0101lajiem stiepes izm\u0113\u0123in\u0101jumu paraugiem, t\u0101d\u0113j\u0101di ieg\u016bstot sadal\u012bjumus ar regul\u0101r\u0101k\u0101m sadal\u012bjuma l\u012bkn\u0113m, kas \u013cauj veikt prec\u012bz\u0101kas statistisk\u0101s korekcijas nek\u0101 tas ir iesp\u0113jams, izmantojot pilna m\u0113roga sadal\u012bjumus.<\/p>\n<p>Alum\u012bnija Janga modulis ir prec\u012bzi noteikts, izmantojot eksperiment\u0101los m\u0113r\u012bjumus un teor\u0113tiskos apr\u0113\u0137inus, un \u0161o v\u0113rt\u012bbu var izmantot k\u0101 sal\u012bdzin\u0101\u0161anas punktu, veicot apr\u0113\u0137inus vai eksperiment\u0101los m\u0113r\u012bjumus. Jaunga modu\u013ca sv\u0101rst\u012bbas var izrais\u012bt t\u0101di faktori k\u0101 temperat\u016bra, sakaus\u0113juma sast\u0101vs, krist\u0101lisk\u0101 strukt\u016bra vai ra\u017eo\u0161anas procesi \u2013 piem\u0113ram, sakaus\u0113juma elementu pievieno\u0161ana var main\u012bt molekulu savstarp\u0113j\u0101s saites izk\u0101rtojumu un t\u0101d\u0113j\u0101di ar\u012b t\u0101 meh\u0101nisk\u0101s \u012bpa\u0161\u012bbas.<\/p>\n<h2>Puasona koeficients<\/h2>\n<p>Puasona koeficients ir materi\u0101la \u012bpa\u0161\u012bba, kas raksturo sakar\u012bbu starp garenvirziena deform\u0101ciju un \u0161\u0137\u0113rsvirziena deform\u0101ciju. T\u0101 v\u0113rt\u012bba main\u0101s atkar\u012bb\u0101 no deform\u0101cijas veida \u2014 stiepes deform\u0101cijas gad\u012bjum\u0101 t\u0101 ir pozit\u012bva, savuk\u0101rt saspie\u0161anas deform\u0101cijas gad\u012bjum\u0101 t\u0101 var k\u013c\u016bt negat\u012bva. Lai gan Puasona koeficienta v\u0113rt\u012bbas parasti ir vien\u0101das da\u017e\u0101diem materi\u0101liem, t\u0101s var iev\u0113rojami at\u0161\u0137irties starp atsevi\u0161\u0137iem materi\u0101liem; \u0161\u012b par\u0101d\u012bba ir \u012bpa\u0161i izteikta met\u0101lu un sakaus\u0113jumu gad\u012bjum\u0101, kuriem Puasona koeficients bie\u017ei vien iev\u0113rojami sv\u0101rst\u0101s.<\/p>\n<p>Puasona koeficients parasti samazin\u0101s, palielinoties bl\u012bvumam, jo izmai\u0146as materi\u0101la \u0161\u016bnu strukt\u016br\u0101s maina poru formu un izm\u0113ru, kas savuk\u0101rt ietekm\u0113 Puasona koeficientu. Turkl\u0101t bl\u012bvuma palielin\u0101\u0161ana maina poru izkliedi, k\u0101 ar\u012b to izm\u0113ru sadal\u012bjumu; bl\u012bvuma palielin\u0101\u0161ana ietekm\u0113 ar\u012b \u0161o procesu. Daudzos p\u0113t\u012bjumos \u0161\u012b sakar\u012bba ir izp\u0113t\u012bta, izmantojot da\u017e\u0101das vibr\u0101cijas metodes, piem\u0113ram, rezonanses frekven\u010du m\u0113r\u012b\u0161anu ar augstu precizit\u0101ti \u2013 prec\u012bzu m\u0113r\u012bjumu, kas \u013cauj apr\u0113\u0137in\u0101t paraugu elast\u012bg\u0101s \u012bpa\u0161\u012bbas.<\/p>\n<p>\u0160os apr\u0113\u0137inus var veikt, izmantojot nedestrukt\u012bvu metodi, ko sauc par ultraska\u0146as m\u0113r\u012bjumiem. T\u0101 ietver parauga piesk\u0101rienu ar lodi un t\u0101 vibr\u0101cijas sign\u0101la re\u0123istr\u0113\u0161anu anal\u012bzei, lai noteiktu garenvirziena un \u0161\u0137\u0113rsvirziena akustisko vi\u013c\u0146u \u0101trumus; p\u0113c tam \u0161o inform\u0101ciju izmanto, lai, pamatojoties uz \u0161o anal\u012bzes metodi, apr\u0113\u0137in\u0101tu parauga materi\u0101la Janga modu\u013cu \u2013 katru reizi ieg\u016bstot konsekventus un prec\u012bzus rezult\u0101tus.<\/p>\n<p>Alum\u012bnija oks\u012bda Janga modulis var tikt izskaidrots, \u0146emot v\u0113r\u0101 t\u0101 bl\u012bvumu un Puasona koeficientu \u2014 divus galvenos faktorus, kas nosaka t\u0101 elast\u012bg\u0101s \u012bpa\u0161\u012bbas. Alum\u012bnija oks\u012bdam ir zems Puasona koeficients, ko nosaka t\u0101 mikrostrukt\u016bra; t\u0101d\u0113j\u0101di elast\u012bg\u0101s \u012bpa\u0161\u012bbas palielin\u0101s l\u012bdz ar bl\u012bvuma pieaugumu; tom\u0113r t\u0101 Janga modulis joproj\u0101m ir zem\u0101ks nek\u0101 sal\u012bdzin\u0101miem met\u0101liem.<\/p>\n<p>Alum\u012bnija oks\u012bda Puasona koeficients ir jut\u012bgs pret temperat\u016bru. Lai gan tas samazin\u0101s, temperat\u016brai paaugstinoties, sasniedzot apdedzin\u0101\u0161anas temperat\u016bru, tas strauji palielin\u0101s atpaka\u013c, jo \u0161aj\u0101 temperat\u016br\u0101 turpin\u0101s aglomer\u0113\u0161an\u0101s, kas izraisa strauju Janga modu\u013ca pieaugumu. Diem\u017e\u0113l t\u0101 prec\u012bz\u0101 saist\u012bba ar temperat\u016bras izmai\u0146\u0101m joproj\u0101m ir nepietiekami izprasta da\u017e\u0101du ietekm\u0113jo\u0161o faktoru d\u0113\u013c.<\/p>\n<h2>Elast\u012bbas modulis<\/h2>\n<p>Elast\u012bbas modulis ir cietu materi\u0101lu neat\u0146emama \u012bpa\u0161\u012bba. Tas raksturo, cik liela deform\u0101cija rodas stiepes vai spiedes ietekm\u0113, un cietiem materi\u0101liem elast\u012bbas modulis ir liel\u0101ks nek\u0101 elast\u012bgiem materi\u0101liem; to sauc ar\u012b par stiepes moduli vai deform\u0101cijas moduli. Elast\u012bbas moduli var noteikt, izm\u0113rot spriegumu, ko rada deform\u0101cija pie nemain\u012bgas slodzes, un p\u0113c tam to dalot ar deform\u0101ciju, lai ieg\u016btu t\u0101 v\u0113rt\u012bbu \u2013 t\u0101d\u0113j\u0101di nosakot elast\u012bbas modu\u013ca v\u0113rt\u012bbu.<\/p>\n<p>Stingr\u012bba, kas ir elast\u012bbas modu\u013ca pretmets, raksturo to, cik liels sp\u0113ks tiek pielikts slodzes ietekm\u0113. In\u017eenieri izmanto \u0161o materi\u0101lu \u012bpa\u0161\u012bbu, lai noteiktu to nestsp\u0113ju un veiktu nepiecie\u0161amos piel\u0101gojumus; t\u0101s v\u0113rt\u012bba var b\u016bt atkar\u012bga no t\u0101diem faktoriem k\u0101 materi\u0101la biezums un \u012bpa\u0161\u012bbas.<\/p>\n<p>Biez\u0101k\u0101m alum\u012bnija pl\u0101ksn\u0113m b\u016bs maz\u0101ka stingr\u012bba, ta\u010du t\u0101ds pats Janga modulis, jo biez\u0101ki materi\u0101li ir iztur\u012bg\u0101ki pret deform\u0101ciju slodzes ietekm\u0113 un tiem ir liel\u0101ka virsmas plat\u012bba, t\u0101p\u0113c, lai izrais\u012btu deform\u0101ciju jebkur\u0101 konkr\u0113t\u0101 punkt\u0101, ir j\u0101piem\u0113ro liel\u0101ka slodze.<\/p>\n<p>Elast\u012bbas modu\u013cus var sal\u012bdzin\u0101t, izmantojot \u0161\u0101du vien\u0101dojumu: E (T) = b(ph(T)) 6(k B T), kur ph-g apz\u012bm\u0113 elektronu darba funkciju temperat\u016br\u0101 T, bet b \u2014 materi\u0101la bl\u012bvumu.<\/p>\n<p>Alum\u012bnija oks\u012bds ir nodilumiztur\u012bga keramika ar augstu elast\u012bbas moduli, ko var raksturot, veicot tr\u012bspunktu un \u010detrpunktu lieces testus. \u0160aj\u0101 p\u0113t\u012bjum\u0101 tika izmantota skaitliska\/eksperiment\u0101la korel\u0101cija, lai prognoz\u0113tu alum\u012bnija oks\u012bda p\u0101rkl\u0101juma, kas uzkl\u0101ts uz alum\u012bnija substr\u0101ta, iek\u0161\u0113jo Janga moduli, un tika konstat\u0113ta lieliska saska\u0146a starp eksperiment\u0101laj\u0101m un prognoz\u0113taj\u0101m v\u0113rt\u012bb\u0101m. Turkl\u0101t liel\u0101kaj\u0101 da\u013c\u0101 lietojumu, kuros izmanto alum\u012bnija oks\u012bda p\u0101rkl\u0101jumus, spiedes spriegums izr\u0101d\u012bj\u0101s liel\u0101ks nek\u0101 stiepes spriegums, kas liecina par lab\u0101ku veiktsp\u0113ju.<\/p>\n<h2>Stiepes iztur\u012bbas modulis<\/h2>\n<p>Alum\u012bnija oks\u012bda augstais Janga modulis liecina, ka tas ir stingrs materi\u0101ls, kas ir iztur\u012bgs pret deform\u0101cij\u0101m, ta\u010du t\u0101 neplastiskums un pl\u016bstam\u012bbas robe\u017eu tr\u016bkums padara to nepiem\u0113rotu lietojumiem, kuros nepiecie\u0161ama plastiskums, piem\u0113ram, konstrukcijas elementiem un grie\u0161anas instrumentiem. T\u0101 viet\u0101 t\u0101 sabrukums notiek gandr\u012bz uzreiz, pak\u013caujot to spiedes vai stiepes slodzei, nevis pak\u0101peniski deform\u0113joties un v\u0101jinoties laika gait\u0101. \u0160\u012bs \u012bpa\u0161\u012bbas d\u0113\u013c t\u0101 trauslums padara to neder\u012bgu t\u0101d\u0101m lietojumiem k\u0101 konstrukcijas deta\u013cas vai grie\u0161anas r\u012bki, kuriem nepiecie\u0161ama plastiskums.<\/p>\n<p>Alum\u012bnija oks\u012bdu var kombin\u0113t ar polim\u0113riem, lai iev\u0113rojami uzlabotu to stiepes \u012bpa\u0161\u012bbas. Piem\u0113ram, pievienojot 0,2% alum\u012bnija oks\u012bda nano\u0161\u0137iedru epoks\u012bda kompoz\u012btam, t\u0101 maksim\u0101l\u0101 stiepes iztur\u012bba palielin\u0101s no 41 MPa l\u012bdz 71 MPa, jo alum\u012bnija oks\u012bda nano\u0161\u0137iedras pie\u0161\u0137ir stingr\u012bbu un darbojas k\u0101 dab\u012bgi \u0137\u0113des ierobe\u017eot\u0101ji, k\u0101 ar\u012b savienojas ar epoks\u012bda grup\u0101m polim\u0113ru \u0137\u0113d\u0113s ar savu epoksipropila funkcion\u0101lo grupu starpniec\u012bbu, kas veido stipras saites starp \u0161\u0137iedr\u0101m un sve\u0137u molekul\u0101m.<\/p>\n<p>Se\u0161st\u016brveida alum\u012bnija oks\u012bds ir ide\u0101ls in\u017eenierkeramikas materi\u0101ls, pateicoties t\u0101 augstajam Janga modulim un zemajam siltuma izple\u0161an\u0101s koeficientam, kas nodro\u0161ina iztur\u012bbu pret meh\u0101nisko slodzi augst\u0101s temperat\u016bras apst\u0101k\u013cos. Turkl\u0101t se\u0161st\u016brveida alum\u012bnija oks\u012bds nodro\u0161ina izcilu vad\u012btsp\u0113ju, k\u0101 ar\u012b stabilu darb\u012bbu ekstrem\u0101los vides apst\u0101k\u013cos \u2013 \u0161\u012bs \u012bpa\u0161\u012bbas padara se\u0161st\u016brveida alum\u012bnija oks\u012bdu par lielisku izv\u0113li elektrotehniskaj\u0101m lietojumprogramm\u0101m.<\/p>\n<p>At\u0161\u0137ir\u012bb\u0101 no citiem alum\u012bnija oks\u012bda veidiem, heksagon\u0101lajam AlN piem\u012bt \u0101rk\u0101rt\u012bgi augsts pa\u0161dif\u016bzijas koeficients, kas apgr\u016btina sinter\u0113\u0161anu, izmantojot tradicion\u0101l\u0101s metodes. Turkl\u0101t \u0161im materi\u0101lam ir zema ku\u0161anas temperat\u016bra un izcilas termisk\u0101 \u0161oka iztur\u012bbas \u012bpa\u0161\u012bbas.<\/p>\n<p>Sonelastic Systems test\u0113\u0161ana istabas temperat\u016br\u0101, k\u0101 ar\u012b zem\u0101s un augst\u0101s temperat\u016br\u0101s \u013cauj prec\u012bzi noteikt keramisko materi\u0101lu elast\u012bbas modu\u013cus (Janga modulis, \u0161\u0137\u0113rsgriezuma modulis un Puasona koeficients) un amortiz\u0101cijas \u012bpa\u0161\u012bbas, lai prec\u012bzi nov\u0113rt\u0113tu to elast\u012bbas modu\u013cus (Janga modulis, \u0161\u0137\u0113rsspiedes modulis un Puasona koeficients) un amortiz\u0101cijas \u012bpa\u0161\u012bbas \u2013 \u0161\u012bs \u012bpa\u0161\u012bbas ir b\u016btiskas, projekt\u0113jot jaunas \u0161o materi\u0101lu vari\u0101cijas pla\u0161am lietojumu kl\u0101stam.<\/p>\n<p>Alum\u012bnija oks\u012bda elast\u012bbas modu\u013ci tika dinamiski m\u0113r\u012bti sinter\u0113\u0161anas procesa laik\u0101. Zem\u0101k\u0101s temperat\u016br\u0101s Janga modulis samazin\u0101j\u0101s line\u0101ri, jo da\u013c\u0113ji sinter\u0113tais alum\u012bnija oks\u012bds k\u013cuva bl\u012bv\u0101ks; ta\u010du augst\u0101k\u0101s temperat\u016br\u0101s, turpinoties bl\u012bvuma palielin\u0101\u0161anai, Janga modulis strauji pieauga sinter\u0113\u0161anas un bl\u012bvuma palielin\u0101\u0161anas procesu d\u0113\u013c; \u0161\u012b tendence atbilda \u0161\u0101 pa\u0161a materi\u0101la statiskajiem m\u0113r\u012bjumiem istabas temperat\u016br\u0101; ar\u012b \u0161\u0137\u0113rsgriezuma modulis un Puasona koeficients par\u0101d\u012bja l\u012bdz\u012bgas tendences.<\/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=\"Alum\u012bnija oks\u012bda Janga modulis\" 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 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