Ŝablono:Elastaj moduloj

Izotropa prema modulo K • Modulo de Young E • Unua parametro de Lamé λ • Tonda elasta modulo G • Rilatumo de Poisson ν • P-onda modulo M
Konvertaj formuloj
(propraĵoj de izotropa materialo estas plene difinitaj per iuj du el la valoroj, la aliaj povas esti kalkulitaj)
	(λ, G)	(E, G)	(K, λ)	(K, G)	(λ, ν)	(G, ν)	(E, ν)	(K, ν)	(K, E)	(M, G)
K=	$\lambda +{\tfrac {2G}{3}}$$\lambda +{\tfrac {2G}{3}}$	${\tfrac {EG}{3(3G-E)}}$${\tfrac {EG}{3(3G-E)}}$			$\lambda {\tfrac {1+\nu }{3\nu }}$$\lambda {\tfrac {1+\nu }{3\nu }}$	${\tfrac {2G(1+\nu )}{3(1-2\nu )}}$${\tfrac {2G(1+\nu )}{3(1-2\nu )}}$	${\tfrac {E}{3(1-2\nu )}}$${\tfrac {E}{3(1-2\nu )}}$			$M-{\tfrac {4G}{3}}$$M-{\tfrac {4G}{3}}$
E=	$G{\tfrac {3\lambda +2G}{\lambda +G}}$$G{\tfrac {3\lambda +2G}{\lambda +G}}$		$9K{\tfrac {K-\lambda }{3K-\lambda }}$$9K{\tfrac {K-\lambda }{3K-\lambda }}$	${\tfrac {9KG}{3K+G}}$${\tfrac {9KG}{3K+G}}$	${\tfrac {\lambda (1+\nu )(1-2\nu )}{\nu }}$${\tfrac {\lambda (1+\nu )(1-2\nu )}{\nu }}$	$2G(1+\nu )\,$$2G(1+\nu )\,$		$3K(1-2\nu )\,$$3K(1-2\nu )\,$		$G{\tfrac {3M-4G}{M-G}}$$G{\tfrac {3M-4G}{M-G}}$
λ=		$G{\tfrac {E-2G}{3G-E}}$$G{\tfrac {E-2G}{3G-E}}$		$K-{\tfrac {2G}{3}}$$K-{\tfrac {2G}{3}}$		${\tfrac {2G\nu }{1-2\nu }}$${\tfrac {2G\nu }{1-2\nu }}$	${\tfrac {E\nu }{(1+\nu )(1-2\nu )}}$${\tfrac {E\nu }{(1+\nu )(1-2\nu )}}$	${\tfrac {3K\nu }{1+\nu }}$${\tfrac {3K\nu }{1+\nu }}$	${\tfrac {3K(3K-E)}{9K-E}}$${\tfrac {3K(3K-E)}{9K-E}}$	$M-2G\,$$M-2G\,$
G=			$3{\tfrac {K-\lambda }{2}}$$3{\tfrac {K-\lambda }{2}}$		$\lambda {\tfrac {1-2\nu }{2\nu }}$$\lambda {\tfrac {1-2\nu }{2\nu }}$		${\tfrac {E}{2(1+\nu )}}$${\tfrac {E}{2(1+\nu )}}$	$3K{\tfrac {1-2\nu }{2(1+\nu )}}$$3K{\tfrac {1-2\nu }{2(1+\nu )}}$	${\tfrac {3KE}{9K-E}}$${\tfrac {3KE}{9K-E}}$
ν=	${\tfrac {\lambda }{2(\lambda +G)}}$${\tfrac {\lambda }{2(\lambda +G)}}$	${\tfrac {E}{2G}}-1$${\tfrac {E}{2G}}-1$	${\tfrac {\lambda }{3K-\lambda }}$${\tfrac {\lambda }{3K-\lambda }}$	${\tfrac {3K-2G}{2(3K+G)}}$${\tfrac {3K-2G}{2(3K+G)}}$					${\tfrac {3K-E}{6K}}$${\tfrac {3K-E}{6K}}$	${\tfrac {M-2G}{2M-2G}}$${\tfrac {M-2G}{2M-2G}}$
M=	$\lambda +2G\,$$\lambda +2G\,$	$G{\tfrac {4G-E}{3G-E}}$$G{\tfrac {4G-E}{3G-E}}$	$3K-2\lambda \,$$3K-2\lambda \,$	$K+{\tfrac {4G}{3}}$$K+{\tfrac {4G}{3}}$	$\lambda {\tfrac {1-\nu }{\nu }}$$\lambda {\tfrac {1-\nu }{\nu }}$	$G{\tfrac {2-2\nu }{1-2\nu }}$$G{\tfrac {2-2\nu }{1-2\nu }}$	$E{\tfrac {1-\nu }{(1+\nu )(1-2\nu )}}$$E{\tfrac {1-\nu }{(1+\nu )(1-2\nu )}}$	$3K{\tfrac {1-\nu }{1+\nu }}$$3K{\tfrac {1-\nu }{1+\nu }}$	$3K{\tfrac {3K+E}{9K-E}}$$3K{\tfrac {3K+E}{9K-E}}$