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| [[File:Elastic moduli2.jpg|alt=|thumb|Table 1|none]] | | [[File:Elastic moduli2.jpg|alt=|thumb|Table 1|none]] |
| | {| class="wikitable" |
| | ! |
| | ! |
| | ! |
| | ! |
| | |- |
| | |'''''à''''' |
| | |''E,K'' |
| | |''E,μ'' |
| | |''E,v'' |
| | |- |
| | | |
| | | |
| | | |
| | | |
| | |- |
| | | |
| | | |
| | | |
| | | |
| | |} |
| | {| class="wikitable" |
| | |'''Given''' |
| | | |
| | | |
| | | |
| | | |
| | | |
| | | |
| | | |
| | | |
| | | |
| | | |
| | |- |
| | |''à'' |
| | |''E,K'' |
| | |''E,μ'' |
| | |''E,v'' |
| | |''E,λ'' |
| | |''K,μ'' |
| | |''K,v'' |
| | |''K,λ'' |
| | |''μ,v'' |
| | |''μ,λ'' |
| | |''λ,v'' |
| | |- |
| | |''Wanted'' |
| | | |
| | | |
| | | |
| | | |
| | | |
| | | |
| | | |
| | | |
| | | |
| | | |
| | |- |
| | |''E'' |
| | |''—'' |
| | |''—'' |
| | |''—'' |
| | |''—'' |
| | |''9K μ'' |
| | |
| | ''3K + μ'' |
| | |''3K(1−2v)'' |
| | |''9K(K−λ)'' |
| | |
| | ''3K−λ'' |
| | |''2μ(1+v)'' |
| | |''μ(3λ+μ)'' |
| | |
| | ''λ+μ'' |
| | |''λ(1+v)(1-2v)'' |
| | |
| | ''v'' |
| | |- |
| | |''K'' |
| | |''—'' |
| | |''___Eμ___'' |
| | |
| | ''3(3μ−E)'' |
| | |''____E___'' |
| | |
| | ''3(1−2v)'' |
| | |''E+3λ+[(E+λ)<sup>2</sup> +8λ<sup>2</sup>] <sup>½</sup>'' |
| | |
| | ''6'' |
| | |''—'' |
| | |''—'' |
| | |''—'' |
| | |''2μ(1+v)'' |
| | |
| | ''3(1−2v)'' |
| | |''λ+ <sup>2</sup>μ'' |
| | |
| | ''<sup>3</sup>'' |
| | |''λ(1+v)'' |
| | |
| | ''3v'' |
| | |- |
| | |[null ''μ''] |
| | |''3EK'' |
| | |
| | ''9K-E'' |
| | |''—'' |
| | |''____E___'' |
| | |
| | ''2(1+v)'' |
| | |''E-3λ+[(E+λ)<sup>2</sup> +8λ<sup>2</sup>]<sup>1/2</sup>'' |
| | |
| | ''4'' |
| | |''—'' |
| | |''3K(1−2v)'' |
| | |
| | ''2(1+v)'' |
| | |''3 (K-2λ)'' |
| | |
| | ''2'' |
| | |''—'' |
| | |''—'' |
| | |''2(1-2v)'' |
| | |
| | ''2v'' |
| | |- |
| | |'''''v''''' |
| | |''1 _ E'' |
| | |
| | ''2 6K'' |
| | |''E _ 1'' |
| | |
| | ''2μ'' |
| | |''—'' |
| | |''[(E+λ)<sup>2</sup> + 8λ<sup>2</sup>] <sup>½</sup> − E − h'' |
| | |
| | ''4λ'' |
| | |''3K−2μ'' |
| | |
| | ''2(3K+μ)'' |
| | |''—'' |
| | |''___λ___'' |
| | |
| | ''3K−λ'' |
| | |''—'' |
| | |''___λ___'' |
| | |
| | ''2(λ+μ)'' |
| | |''—'' |
| | |- |
| | |[null ''λ''] |
| | |''3K(3K−E)'' |
| | |
| | ''9K−E'' |
| | |''μ(E−2μ'' |
| | |
| | ''3μ−E'' |
| | |''____vE_____'' |
| | |
| | ''(1+v)(1−2v)'' |
| | |''—'' |
| | |''K- <sup>2</sup> μ'' |
| | |
| | ''<sup>3</sup>'' |
| | |''3Kv'' |
| | |
| | ''1+v'' |
| | |''—'' |
| | |''2μv'' |
| | |
| | ''1−2v'' |
| | |''—'' |
| | |''—'' |
| | |} |
|
| |
|
| == Computing mechanical rock properties == | | == Computing mechanical rock properties == |