Der Modul… …ergibt sich aus:[1] ( K , E ) {\displaystyle (K,\,E)} ( K , λ ) {\displaystyle (K,\,\lambda )} ( K , G ) {\displaystyle (K,\,G)} ( K , ν ) {\displaystyle (K,\,\nu )} ( E , λ ) {\displaystyle (E,\,\lambda )} ( E , G ) {\displaystyle (E,\,G)} ( E , ν ) {\displaystyle (E,\,\nu )} ( λ , G ) {\displaystyle (\lambda ,\,G)} ( λ , ν ) {\displaystyle (\lambda ,\,\nu )} ( G , ν ) {\displaystyle (G,\,\nu )} ( G , M ) {\displaystyle (G,\,M)} Kompressionsmodul K {\displaystyle K\,} K {\displaystyle K} K {\displaystyle K} K {\displaystyle K} K {\displaystyle K} ( E + 3 λ ) / 6 + {\displaystyle (E+3\lambda )/6+} ( E + 3 λ ) 2 − 4 λ E 6 {\displaystyle {\tfrac {\sqrt {(E+3\lambda )^{2}-4\lambda E}}{6}}} E G 3 ( 3 G − E ) {\displaystyle {\tfrac {EG}{3(3G-E)}}} E 3 ( 1 − 2 ν ) {\displaystyle {\tfrac {E}{3(1-2\nu )}}} λ + {\displaystyle \lambda +} 2 G 3 {\displaystyle {\tfrac {2G}{3}}} λ ( 1 + ν ) 3 ν {\displaystyle {\tfrac {\lambda (1+\nu )}{3\nu }}} 2 G ( 1 + ν ) 3 ( 1 − 2 ν ) {\displaystyle {\tfrac {2G(1+\nu )}{3(1-2\nu )}}} M − {\displaystyle M-} 4 G 3 {\displaystyle {\tfrac {4G}{3}}} Elastizitätsmodul E {\displaystyle E\,} E {\displaystyle E} 9 K ( K − λ ) 3 K − λ {\displaystyle {\tfrac {9K(K-\lambda )}{3K-\lambda }}} 9 K G 3 K + G {\displaystyle {\tfrac {9KG}{3K+G}}} 3 K ( 1 − 2 ν ) {\displaystyle 3K(1-2\nu )\,} E {\displaystyle E} E {\displaystyle E} E {\displaystyle E} G ( 3 λ + 2 G ) λ + G {\displaystyle {\tfrac {G(3\lambda +2G)}{\lambda +G}}} λ ( 1 + ν ) ( 1 − 2 ν ) ν {\displaystyle {\tfrac {\lambda (1+\nu )(1-2\nu )}{\nu }}} 2 G ( 1 + ν ) {\displaystyle 2G(1+\nu )\,} G ( 3 M − 4 G ) M − G {\displaystyle {\tfrac {G(3M-4G)}{M-G}}} 1. Lamé-Konstante λ {\displaystyle \lambda \,} 3 K ( 3 K − E ) 9 K − E {\displaystyle {\tfrac {3K(3K-E)}{9K-E}}} λ {\displaystyle \lambda } K − {\displaystyle K-} 2 G 3 {\displaystyle {\tfrac {2G}{3}}} 3 K ν 1 + ν {\displaystyle {\tfrac {3K\nu }{1+\nu }}} λ {\displaystyle \lambda } G ( E − 2 G ) 3 G − E {\displaystyle {\tfrac {G(E-2G)}{3G-E}}} E ν ( 1 + ν ) ( 1 − 2 ν ) {\displaystyle {\tfrac {E\nu }{(1+\nu )(1-2\nu )}}} λ {\displaystyle \lambda } λ {\displaystyle \lambda } 2 G ν 1 − 2 ν {\displaystyle {\tfrac {2G\nu }{1-2\nu }}} M − 2 G {\displaystyle M-2G\,} Schubmodul G {\displaystyle G} μ {\displaystyle \mu } 3 K E 9 K − E {\displaystyle {\tfrac {3KE}{9K-E}}} 3 ( K − λ ) 2 {\displaystyle {\tfrac {3(K-\lambda )}{2}}} G {\displaystyle G} 3 K ( 1 − 2 ν ) 2 ( 1 + ν ) {\displaystyle {\tfrac {3K(1-2\nu )}{2(1+\nu )}}} ( E − 3 λ ) + {\displaystyle (E-3\lambda )+} ( E − 3 λ ) 2 + 8 λ E 4 {\displaystyle {\tfrac {\sqrt {(E-3\lambda )^{2}+8\lambda E}}{4}}} G {\displaystyle G} E 2 ( 1 + ν ) {\displaystyle {\tfrac {E}{2(1+\nu )}}} G {\displaystyle G} λ ( 1 − 2 ν ) 2 ν {\displaystyle {\tfrac {\lambda (1-2\nu )}{2\nu }}} G {\displaystyle G} G {\displaystyle G} Poissonzahl ν {\displaystyle \nu \,} 3 K − E 6 K {\displaystyle {\tfrac {3K-E}{6K}}} λ 3 K − λ {\displaystyle {\tfrac {\lambda }{3K-\lambda }}} 3 K − 2 G 2 ( 3 K + G ) {\displaystyle {\tfrac {3K-2G}{2(3K+G)}}} ν {\displaystyle \nu } − ( E + λ ) + {\displaystyle -(E+\lambda )+} ( E + λ ) 2 + 8 λ 2 4 λ {\displaystyle {\tfrac {\sqrt {(E+\lambda )^{2}+8\lambda ^{2}}}{4\lambda }}} E 2 G {\displaystyle {\tfrac {E}{2G}}} − 1 {\displaystyle -1} ν {\displaystyle \nu } λ 2 ( λ + G ) {\displaystyle {\tfrac {\lambda }{2(\lambda +G)}}} ν {\displaystyle \nu } ν {\displaystyle \nu } M − 2 G 2 M − 2 G {\displaystyle {\tfrac {M-2G}{2M-2G}}} Longitudinalmodul M {\displaystyle M\,} 3 K ( 3 K + E ) 9 K − E {\displaystyle {\tfrac {3K(3K+E)}{9K-E}}} 3 K − 2 λ {\displaystyle 3K-2\lambda \,} K + {\displaystyle K+} 4 G 3 {\displaystyle {\tfrac {4G}{3}}} 3 K ( 1 − ν ) 1 + ν {\displaystyle {\tfrac {3K(1-\nu )}{1+\nu }}} E − λ + E 2 + 9 λ 2 + 2 E λ 2 {\displaystyle {\tfrac {E-\lambda +{\sqrt {E^{2}+9\lambda ^{2}+2E\lambda }}}{2}}} G ( 4 G − E ) 3 G − E {\displaystyle {\tfrac {G(4G-E)}{3G-E}}} E ( 1 − ν ) ( 1 + ν ) ( 1 − 2 ν ) {\displaystyle {\tfrac {E(1-\nu )}{(1+\nu )(1-2\nu )}}} λ + 2 G {\displaystyle \lambda +2G\,} λ ( 1 − ν ) ν {\displaystyle {\tfrac {\lambda (1-\nu )}{\nu }}} 2 G ( 1 − ν ) 1 − 2 ν {\displaystyle {\tfrac {2G(1-\nu )}{1-2\nu }}} M {\displaystyle M} 
bzw. 
