scholarly journals An Investigation of Finite Strain in an Isotropic Material Subjected to Hydrostatic Pressure and its Seismological Applications

1954 ◽  
Vol 7 (2) ◽  
pp. 322 ◽  
Author(s):  
A Keane
Keyword(s):  
Hydrostatic Pressure ◽  
Elastic Constants ◽  
Isotropic Material ◽  
Finite Strain ◽  
General Relation ◽  
Derivatives Of

An attempt is made to reduce the generality of the usual theories of finite strain and to concentrate on the case of hydrostatic pressure. The method used has been based on the works of Murnaghan (1951) and Birch (1952), and yields a general relation giving the elastic constants in terms of the strain and the derivatives of pressure with respect to strain.

Fourth-order elastic constants and second pressure derivatives of white tin

1991 ◽  
Vol 69 (7) ◽  
pp. 801-807
Author(s):  
R. Ramji Rao ◽  
A. Padmaja
Keyword(s):  
Phase Transformation ◽  
Hydrostatic Pressure ◽  
Elasticity Theory ◽  
Elastic Constants ◽  
Fourth Order ◽  
Finite Strain ◽  
Second Order ◽  
Tetragonal Crystal ◽  
Derivatives Of

The expressions for the 25 fourth-order elastic constants of a body-centered tetragonal crystal are derived with interactions extending to fifth neighbours. The expressions for its effective second-order elastic constants are obtained in terms of its natural second-, third-, and fourth-order elastic constants using the finite strain elasticity theory. The fourth-order elastic constants and the second pressure derivatives of white tin are evaluated using these formulae. All the second pressure derivatives of white tin except that of C11 are positive. The second pressure derivatives C12, C13, and C33 are large suggesting that phase transformation will occur in white tin when subjected to hydrostatic pressure.

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