Mo duli pru zhnosti fizichni harakteristiki tverdotilnih rechovin yakimi viznachayetsya velichina mehanichnih napruzhen pri pruzhnij deformaciyi Zmist 1 Izotropni seredovisha 2 Kristalichni tverdi tila 3 Tablicya formul vzayemozv yazku mizh modulyami 4 Dzherela 5 PosilannyaIzotropni seredovisha RedaguvatiDlya viznachennya napruzhen v izotropnomu tverdomu tili neobhidni dva moduli pruzhnosti Takimi modulyami mozhut buti napriklad koeficiyenti Lame abo modul Yunga j modul zsuvu Istorichno sklalosya tak sho v riznih oblastyah zastosuvannya vvodilisya desho rizni moduli pruzhnosti velichini yakih mozhna viraziti cherez inshi moduli Modul Yunga Modul zsuvu Modul vsebichnogo stisku Koeficiyent Puasona Koeficiyenti LameKristalichni tverdi tila RedaguvatiReakciya kristalichnih tverdih til na deformaciyu skladnisha j dlya yiyi viznachennya potribni dodatkovi parametri Zagalom moduli pruzhnosti dlya kristalichnih rechovin ob yednuyutsya v matricyu zhorstkostiTablicya formul vzayemozv yazku mizh modulyami RedaguvatiFormuli peretvorenPruzhni vlastivosti gomogennih izotropnih linijno pruzhnih materialiv viznachayutsya bud yakimi dvoma modulyami pruzhnosti Otzhe mayuchi dva moduli reshtu mozhna obchisliti za nastupnimi formulami l G displaystyle lambda G nbsp E G displaystyle E G nbsp K l displaystyle K lambda nbsp K G displaystyle K G nbsp l n displaystyle lambda nu nbsp G n displaystyle G nu nbsp E n displaystyle E nu nbsp K n displaystyle K nu nbsp K E displaystyle K E nbsp K displaystyle K nbsp l 2 G 3 displaystyle lambda frac 2G 3 nbsp E G 3 3 G E displaystyle frac EG 3 3G E nbsp l 1 n 3 n displaystyle lambda frac 1 nu 3 nu nbsp 2 G 1 n 3 1 2 n displaystyle frac 2G 1 nu 3 1 2 nu nbsp E 3 1 2 n displaystyle frac E 3 1 2 nu nbsp E displaystyle E nbsp G 3 l 2 G l G displaystyle G frac 3 lambda 2G lambda G nbsp 9 K K l 3 K l displaystyle 9K frac K lambda 3K lambda nbsp 9 K G 3 K G displaystyle frac 9KG 3K G nbsp l 1 n 1 2 n n displaystyle frac lambda 1 nu 1 2 nu nu nbsp 2 G 1 n displaystyle 2G 1 nu nbsp 3 K 1 2 n displaystyle 3K 1 2 nu nbsp l displaystyle lambda nbsp G E 2 G 3 G E displaystyle G frac E 2G 3G E nbsp K 2 G 3 displaystyle K frac 2G 3 nbsp 2 G n 1 2 n displaystyle frac 2G nu 1 2 nu nbsp E n 1 n 1 2 n displaystyle frac E nu 1 nu 1 2 nu nbsp 3 K n 1 n displaystyle frac 3K nu 1 nu nbsp 3 K 3 K E 9 K E displaystyle frac 3K 3K E 9K E nbsp G displaystyle G nbsp 3 K l 2 displaystyle 3 frac K lambda 2 nbsp l 1 2 n 2 n displaystyle lambda frac 1 2 nu 2 nu nbsp E 2 2 n displaystyle frac E 2 2 nu nbsp 3 K 1 2 n 2 2 n displaystyle 3K frac 1 2 nu 2 2 nu nbsp 3 K E 9 K E displaystyle frac 3KE 9K E nbsp n displaystyle nu nbsp l 2 l G displaystyle frac lambda 2 lambda G nbsp E 2 G 1 displaystyle frac E 2G 1 nbsp l 3 K l displaystyle frac lambda 3K lambda nbsp 3 K 2 G 2 3 K G displaystyle frac 3K 2G 2 3K G nbsp 3 K E 6 K displaystyle frac 3K E 6K nbsp M displaystyle M nbsp l 2 G displaystyle lambda 2G nbsp G 4 G E 3 G E displaystyle G frac 4G E 3G E nbsp 3 K 2 l displaystyle 3K 2 lambda nbsp K 4 G 3 displaystyle K frac 4G 3 nbsp l 1 n n displaystyle lambda frac 1 nu nu nbsp G 2 2 n 1 2 n displaystyle G frac 2 2 nu 1 2 nu nbsp E 1 n 1 n 1 2 n displaystyle E frac 1 nu 1 nu 1 2 nu nbsp 3 K 1 n 1 n displaystyle 3K frac 1 nu 1 nu nbsp 3 K 3 K E 9 K E displaystyle 3K frac 3K E 9K E nbsp Dzherela RedaguvatiOpir materialiv Pidruchnik G S Pisarenko O L Kvitka E S Umanskij Za red G S Pisarenka K Visha shkola 1993 655 s ISBN 5 11 004083 5 Timoshenko S P Guder Dzh Teoriya uprugosti M Nauka 1979 560 s Posilannya RedaguvatiModuli pruzhnosti Terminologichnij slovnik dovidnik z budivnictva ta arhitekturi R A Shmig V M Boyarchuk I M Dobryanskij V M Barabash za zag red R A Shmiga Lviv 2010 S 127 ISBN 978 966 7407 83 4 Free database of engineering properties for over 63 000 materials Arhivovano 8 listopada 2018 u Wayback Machine nbsp Ce nezavershena stattya z fiziki Vi mozhete dopomogti proyektu vipravivshi abo dopisavshi yiyi Otrimano z https uk wikipedia org w index php title Moduli pruzhnosti amp oldid 37700554
