|
(
λ
,
G
)
{\displaystyle (\lambda ,G)}
|
(
E
,
G
)
{\displaystyle (E,G)}
|
(
K
,
λ
)
{\displaystyle (K,\lambda )}
|
(
K
,
G
)
{\displaystyle (K,G)}
|
(
λ
,
ν
)
{\displaystyle (\lambda ,\nu )}
|
(
G
,
ν
)
{\displaystyle (G,\nu )}
|
(
E
,
ν
)
{\displaystyle (E,\nu )}
|
(
K
,
ν
)
{\displaystyle (K,\nu )}
|
(
K
,
E
)
{\displaystyle (K,E)}
|
(
M
,
G
)
{\displaystyle (M,G)}
|
K
[
P
a
]
=
{\displaystyle K\,[\mathrm {Pa} ]=}
![{\displaystyle K\,[\mathrm {Pa} ]=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/2b3ab31b3a3865235dccbc488812ff4f37eebbab)
|
λ
+
2
G
3
{\displaystyle \lambda +{\tfrac {2G}{3}}}
|
E
G
3
(
3
G
−
E
)
{\displaystyle {\tfrac {EG}{3(3G-E)}}}
| | |
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 )}}}
|
E
3
(
1
−
2
ν
)
{\displaystyle {\tfrac {E}{3(1-2\nu )}}}
| | |
M
−
4
G
3
{\displaystyle M-{\tfrac {4G}{3}}}
|
E
[
P
a
]
=
{\displaystyle E\,[\mathrm {Pa} ]=}
![{\displaystyle E\,[\mathrm {Pa} ]=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/750cbb7f7d67f888ecb19e183ac4d7410006ef9b)
|
G
(
3
λ
+
2
G
)
λ
+
G
{\displaystyle {\tfrac {G(3\lambda +2G)}{\lambda +G}}}
| |
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}}}
|
λ
(
1
+
ν
)
(
1
−
2
ν
)
ν
{\displaystyle {\tfrac {\lambda (1+\nu )(1-2\nu )}{\nu }}}
|
2
G
(
1
+
ν
)
{\displaystyle 2G(1+\nu )\,}
| |
3
K
(
1
−
2
ν
)
{\displaystyle 3K(1-2\nu )\,}
| |
G
(
3
M
−
4
G
)
M
−
G
{\displaystyle {\tfrac {G(3M-4G)}{M-G}}}
|
λ
[
P
a
]
=
{\displaystyle \lambda \,[\mathrm {Pa} ]=}
![{\displaystyle \lambda \,[\mathrm {Pa} ]=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/feb97a3834f075f32114f08046be6251bd037800)
| |
G
(
E
−
2
G
)
3
G
−
E
{\displaystyle {\tfrac {G(E-2G)}{3G-E}}}
| |
K
−
2
G
3
{\displaystyle K-{\tfrac {2G}{3}}}
| |
2
G
ν
1
−
2
ν
{\displaystyle {\tfrac {2G\nu }{1-2\nu }}}
|
E
ν
(
1
+
ν
)
(
1
−
2
ν
)
{\displaystyle {\tfrac {E\nu }{(1+\nu )(1-2\nu )}}}
|
3
K
ν
1
+
ν
{\displaystyle {\tfrac {3K\nu }{1+\nu }}}
|
3
K
(
3
K
−
E
)
9
K
−
E
{\displaystyle {\tfrac {3K(3K-E)}{9K-E}}}
|
M
−
2
G
{\displaystyle M-2G}
|
G
[
P
a
]
=
{\displaystyle G\,[\mathrm {Pa} ]=}
![{\displaystyle G\,[\mathrm {Pa} ]=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/2326ec29a9bfa73a5703f0571334e02c57bdd833)
| | |
3
(
K
−
λ
)
2
{\displaystyle {\tfrac {3(K-\lambda )}{2}}}
| |
λ
(
1
−
2
ν
)
2
ν
{\displaystyle {\tfrac {\lambda (1-2\nu )}{2\nu }}}
| |
E
2
(
1
+
ν
)
{\displaystyle {\tfrac {E}{2(1+\nu )}}}
|
3
K
(
1
−
2
ν
)
2
(
1
+
ν
)
{\displaystyle {\tfrac {3K(1-2\nu )}{2(1+\nu )}}}
|
3
K
E
9
K
−
E
{\displaystyle {\tfrac {3KE}{9K-E}}}
| |
ν
[
1
]
=
{\displaystyle \nu \,[1]=}
![{\displaystyle \nu \,[1]=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/b31963444a16a4993d1f3289b9a5e86d2a224934)
|
λ
2
(
λ
+
G
)
{\displaystyle {\tfrac {\lambda }{2(\lambda +G)}}}
|
E
2
G
−
1
{\displaystyle {\tfrac {E}{2G}}-1}
|
λ
3
K
−
λ
{\displaystyle {\tfrac {\lambda }{3K-\lambda }}}
|
3
K
−
2
G
2
(
3
K
+
G
)
{\displaystyle {\tfrac {3K-2G}{2(3K+G)}}}
| | | | |
3
K
−
E
6
K
{\displaystyle {\tfrac {3K-E}{6K}}}
|
M
−
2
G
2
M
−
2
G
{\displaystyle {\tfrac {M-2G}{2M-2G}}}
|
M
[
P
a
]
=
{\displaystyle M\,[\mathrm {Pa} ]=}
![{\displaystyle M\,[\mathrm {Pa} ]=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/49c2ea87a079fbcc6987591a1669001a144e61ed)
|
λ
+
2
G
{\displaystyle \lambda +2G}
|
G
(
4
G
−
E
)
3
G
−
E
{\displaystyle {\tfrac {G(4G-E)}{3G-E}}}
|
3
K
−
2
λ
{\displaystyle 3K-2\lambda \,}
|
K
+
4
G
3
{\displaystyle K+{\tfrac {4G}{3}}}
|
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 }}}
|
E
(
1
−
ν
)
(
1
+
ν
)
(
1
−
2
ν
)
{\displaystyle {\tfrac {E(1-\nu )}{(1+\nu )(1-2\nu )}}}
|
3
K
(
1
−
ν
)
1
+
ν
{\displaystyle {\tfrac {3K(1-\nu )}{1+\nu }}}
|
3
K
(
3
K
+
E
)
9
K
−
E
{\displaystyle {\tfrac {3K(3K+E)}{9K-E}}}
| |
|
(
λ
2
D
,
G
2
D
)
{\displaystyle (\lambda _{\mathrm {2D} },G_{\mathrm {2D} })}
|
(
E
2
D
,
G
2
D
)
{\displaystyle (E_{\mathrm {2D} },G_{\mathrm {2D} })}
|
(
K
2
D
,
λ
2
D
)
{\displaystyle (K_{\mathrm {2D} },\lambda _{\mathrm {2D} })}
|
(
K
2
D
,
G
2
D
)
{\displaystyle (K_{\mathrm {2D} },G_{\mathrm {2D} })}
|
(
λ
2
D
,
ν
2
D
)
{\displaystyle (\lambda _{\mathrm {2D} },\nu _{\mathrm {2D} })}
|
(
G
2
D
,
ν
2
D
)
{\displaystyle (G_{\mathrm {2D} },\nu _{\mathrm {2D} })}
|
(
E
2
D
,
ν
2
D
)
{\displaystyle (E_{\mathrm {2D} },\nu _{\mathrm {2D} })}
|
(
K
2
D
,
ν
2
D
)
{\displaystyle (K_{\mathrm {2D} },\nu _{\mathrm {2D} })}
|
(
K
2
D
,
E
2
D
)
{\displaystyle (K_{\mathrm {2D} },E_{\mathrm {2D} })}
|
(
M
2
D
,
G
2
D
)
{\displaystyle (M_{\mathrm {2D} },G_{\mathrm {2D} })}
|
K
2
D
[
N
/
m
]
=
{\displaystyle K_{\mathrm {2D} }\,[\mathrm {N/m} ]=}
![{\displaystyle K_{\mathrm {2D} }\,[\mathrm {N/m} ]=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/5e5562fda79e2283d607f220ec8aab1a0fc9ee74)
|
λ
2
D
+
G
2
D
{\displaystyle \lambda _{\mathrm {2D} }+G_{\mathrm {2D} }}
|
G
2
D
E
2
D
4
G
2
D
−
E
2
D
{\displaystyle {\tfrac {G_{\mathrm {2D} }E_{\mathrm {2D} }}{4G_{\mathrm {2D} }-E_{\mathrm {2D} }}}}
| | |
λ
2
D
(
1
+
ν
2
D
)
2
ν
2
D
{\displaystyle {\tfrac {\lambda _{\mathrm {2D} }(1+\nu _{\mathrm {2D} })}{2\nu _{\mathrm {2D} }}}}
|
G
2
D
(
1
+
ν
2
D
)
1
−
ν
2
D
{\displaystyle {\tfrac {G_{\mathrm {2D} }(1+\nu _{\mathrm {2D} })}{1-\nu _{\mathrm {2D} }}}}
|
E
2
D
2
(
1
−
ν
2
D
)
{\displaystyle {\tfrac {E_{\mathrm {2D} }}{2(1-\nu _{\mathrm {2D} })}}}
| | |
M
2
D
−
G
2
D
{\displaystyle M_{\mathrm {2D} }-G_{\mathrm {2D} }}
|
E
2
D
[
N
/
m
]
=
{\displaystyle E_{\mathrm {2D} }\,[\mathrm {N/m} ]=}
![{\displaystyle E_{\mathrm {2D} }\,[\mathrm {N/m} ]=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/f4026a07ee80c1281e875b1bbed75cd5687a2b13)
|
4
G
2
D
(
λ
2
D
+
G
2
D
)
λ
2
D
+
2
G
2
D
{\displaystyle {\tfrac {4G_{\mathrm {2D} }(\lambda _{\mathrm {2D} }+G_{\mathrm {2D} })}{\lambda _{\mathrm {2D} }+2G_{\mathrm {2D} }}}}
| |
4
K
2
D
(
K
2
D
−
λ
2
D
)
2
K
2
D
−
λ
2
D
{\displaystyle {\tfrac {4K_{\mathrm {2D} }(K_{\mathrm {2D} }-\lambda _{\mathrm {2D} })}{2K_{\mathrm {2D} }-\lambda _{\mathrm {2D} }}}}
|
4
K
2
D
G
2
D
K
2
D
+
G
2
D
{\displaystyle {\tfrac {4K_{\mathrm {2D} }G_{\mathrm {2D} }}{K_{\mathrm {2D} }+G_{\mathrm {2D} }}}}
|
λ
2
D
(
1
+
ν
2
D
)
(
1
−
ν
2
D
)
ν
2
D
{\displaystyle {\tfrac {\lambda _{\mathrm {2D} }(1+\nu _{\mathrm {2D} })(1-\nu _{\mathrm {2D} })}{\nu _{\mathrm {2D} }}}}
|
2
G
2
D
(
1
+
ν
2
D
)
{\displaystyle 2G_{\mathrm {2D} }(1+\nu _{\mathrm {2D} })\,}
| |
2
K
2
D
(
1
−
ν
2
D
)
{\displaystyle 2K_{\mathrm {2D} }(1-\nu _{\mathrm {2D} })}
| |
4
G
2
D
(
M
2
D
−
G
2
D
)
M
2
D
{\displaystyle {\tfrac {4G_{\mathrm {2D} }(M_{\mathrm {2D} }-G_{\mathrm {2D} })}{M_{\mathrm {2D} }}}}
|
λ
2
D
[
N
/
m
]
=
{\displaystyle \lambda _{\mathrm {2D} }\,[\mathrm {N/m} ]=}
![{\displaystyle \lambda _{\mathrm {2D} }\,[\mathrm {N/m} ]=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/19e94c73fca89904175ad30491fc448f274b8f2c)
| |
2
G
2
D
(
E
2
D
−
2
G
2
D
)
4
G
2
D
−
E
2
D
{\displaystyle {\tfrac {2G_{\mathrm {2D} }(E_{\mathrm {2D} }-2G_{\mathrm {2D} })}{4G_{\mathrm {2D} }-E_{\mathrm {2D} }}}}
| |
K
2
D
−
G
2
D
{\displaystyle K_{\mathrm {2D} }-G_{\mathrm {2D} }}
| |
2
G
2
D
ν
2
D
1
−
ν
2
D
{\displaystyle {\tfrac {2G_{\mathrm {2D} }\nu _{\mathrm {2D} }}{1-\nu _{\mathrm {2D} }}}}
|
E
2
D
ν
2
D
(
1
+
ν
2
D
)
(
1
−
ν
2
D
)
{\displaystyle {\tfrac {E_{\mathrm {2D} }\nu _{\mathrm {2D} }}{(1+\nu _{\mathrm {2D} })(1-\nu _{\mathrm {2D} })}}}
|
2
K
2
D
ν
2
D
1
+
ν
2
D
{\displaystyle {\tfrac {2K_{\mathrm {2D} }\nu _{\mathrm {2D} }}{1+\nu _{\mathrm {2D} }}}}
|
2
K
2
D
(
2
K
2
D
−
E
2
D
)
4
K
2
D
−
E
2
D
{\displaystyle {\tfrac {2K_{\mathrm {2D} }(2K_{\mathrm {2D} }-E_{\mathrm {2D} })}{4K_{\mathrm {2D} }-E_{\mathrm {2D} }}}}
|
M
2
D
−
2
G
2
D
{\displaystyle M_{\mathrm {2D} }-2G_{\mathrm {2D} }}
|
G
2
D
[
N
/
m
]
=
{\displaystyle G_{\mathrm {2D} }\,[\mathrm {N/m} ]=}
![{\displaystyle G_{\mathrm {2D} }\,[\mathrm {N/m} ]=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/7aefa2eb44d967723c47e26dd09918f1850d553f)
| | |
K
2
D
−
λ
2
D
{\displaystyle K_{\mathrm {2D} }-\lambda _{\mathrm {2D} }}
| |
λ
2
D
(
1
−
ν
2
D
)
2
ν
2
D
{\displaystyle {\tfrac {\lambda _{\mathrm {2D} }(1-\nu _{\mathrm {2D} })}{2\nu _{\mathrm {2D} }}}}
| |
E
2
D
2
(
1
+
ν
2
D
)
{\displaystyle {\tfrac {E_{\mathrm {2D} }}{2(1+\nu _{\mathrm {2D} })}}}
|
K
2
D
(
1
−
ν
2
D
)
1
+
ν
2
D
{\displaystyle {\tfrac {K_{\mathrm {2D} }(1-\nu _{\mathrm {2D} })}{1+\nu _{\mathrm {2D} }}}}
|
K
2
D
E
2
D
4
K
2
D
−
E
2
D
{\displaystyle {\tfrac {K_{\mathrm {2D} }E_{\mathrm {2D} }}{4K_{\mathrm {2D} }-E_{\mathrm {2D} }}}}
| |
ν
2
D
[
1
]
=
{\displaystyle \nu _{\mathrm {2D} }\,[1]=}
![{\displaystyle \nu _{\mathrm {2D} }\,[1]=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/8c5fcb0958432c6617c834d1e36885be1790ac09)
|
λ
2
D
λ
2
D
+
2
G
2
D
{\displaystyle {\tfrac {\lambda _{\mathrm {2D} }}{\lambda _{\mathrm {2D} }+2G_{\mathrm {2D} }}}}
|
E
2
D
2
G
2
D
−
1
{\displaystyle {\tfrac {E_{\mathrm {2D} }}{2G_{\mathrm {2D} }}}-1}
|
λ
2
D
2
K
2
D
−
λ
2
D
{\displaystyle {\tfrac {\lambda _{\mathrm {2D} }}{2K_{\mathrm {2D} }-\lambda _{\mathrm {2D} }}}}
|
K
2
D
−
G
2
D
K
2
D
+
G
2
D
{\displaystyle {\tfrac {K_{\mathrm {2D} }-G_{\mathrm {2D} }}{K_{\mathrm {2D} }+G_{\mathrm {2D} }}}}
| | | | |
2
K
2
D
−
E
2
D
2
K
2
D
{\displaystyle {\tfrac {2K_{\mathrm {2D} }-E_{\mathrm {2D} }}{2K_{\mathrm {2D} }}}}
|
M
2
D
−
2
G
2
D
M
2
D
{\displaystyle {\tfrac {M_{\mathrm {2D} }-2G_{\mathrm {2D} }}{M_{\mathrm {2D} }}}}
|
M
2
D
[
N
/
m
]
=
{\displaystyle M_{\mathrm {2D} }\,[\mathrm {N/m} ]=}
![{\displaystyle M_{\mathrm {2D} }\,[\mathrm {N/m} ]=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/e3a0381f833f359a1b0c12a557d1c4455a05d0b7)
|
λ
2
D
+
2
G
2
D
{\displaystyle \lambda _{\mathrm {2D} }+2G_{\mathrm {2D} }}
|
4
G
2
D
2
4
G
2
D
−
E
2
D
{\displaystyle {\tfrac {4G_{\mathrm {2D} }^{2}}{4G_{\mathrm {2D} }-E_{\mathrm {2D} }}}}
|
2
K
2
D
−
λ
2
D
{\displaystyle 2K_{\mathrm {2D} }-\lambda _{\mathrm {2D} }}
|
K
2
D
+
G
2
D
{\displaystyle K_{\mathrm {2D} }+G_{\mathrm {2D} }}
|
λ
2
D
ν
2
D
{\displaystyle {\tfrac {\lambda _{\mathrm {2D} }}{\nu _{\mathrm {2D} }}}}
|
2
G
2
D
1
−
ν
2
D
{\displaystyle {\tfrac {2G_{\mathrm {2D} }}{1-\nu _{\mathrm {2D} }}}}
|
E
2
D
(
1
−
ν
2
D
)
(
1
+
ν
2
D
)
{\displaystyle {\tfrac {E_{\mathrm {2D} }}{(1-\nu _{\mathrm {2D} })(1+\nu _{\mathrm {2D} })}}}
|
2
K
2
D
1
+
ν
2
D
{\displaystyle {\tfrac {2K_{\mathrm {2D} }}{1+\nu _{\mathrm {2D} }}}}
|
4
K
2
D
2
4
K
2
D
−
E
2
D
{\displaystyle {\tfrac {4K_{\mathrm {2D} }^{2}}{4K_{\mathrm {2D} }-E_{\mathrm {2D} }}}}
| |
: 
