Determination of Third‐ and Fourth‐Order Longitudinal Elastic Constants by Shock Compression Techniques — Application to Sapphire and Fused Quartz

1972 ◽  
Vol 51 (5B) ◽  
pp. 1576-1581 ◽  
Author(s):  
R. A. Graham
Keyword(s):  
Shock Compression ◽  
Elastic Constants ◽  
Fourth Order ◽  
Fused Quartz

On the determination of the fourth‐order elastic constants

1977 ◽  
Vol 48 (9) ◽  
pp. 3752-3755 ◽  
Author(s):  
Xanthippi Markenscoff
Keyword(s):  
Elastic Constants ◽  
Fourth Order

Combinations of Fourth‐Order Elastic Constants of Fused Quartz

1970 ◽  
Vol 41 (12) ◽  
pp. 4913-4917 ◽  
Author(s):  
B. E. Powell ◽  
M. J. Skove
Keyword(s):  
Elastic Constants ◽  
Fourth Order ◽  
Fused Quartz

Determination of Diffraction Elastic Constants of Gamma-Double-Prime in Polycrystalline Ni-Base Superalloys

2019 ◽  
Author(s):  
R.Y. Zhang ◽  
H.L. Qin ◽  
Z.N. Bi ◽  
J. Li ◽  
S. Paul ◽  
...  
Keyword(s):  
Elastic Constants

Brillouin-scattering determination of the elastic constants of epitaxial fccC60film

1995 ◽  
Vol 52 (12) ◽  
pp. R8707-R8710 ◽  
Author(s):  
D. Fioretto ◽  
G. Carlotti ◽  
G. Socino ◽  
S. Modesti ◽  
C. Cepek ◽  
...  
Keyword(s):  
Elastic Constants ◽  
Brillouin Scattering

Generalized plane stress in a semi-infinite strip under arbitrary end-load

1964 ◽  
Vol 281 (1385) ◽  
pp. 184-206 ◽  
Keyword(s):  
Differential Equation ◽  
Ordinary Differential Equation ◽  
Boundary Conditions ◽  
Fourth Order ◽  
Plane Stress ◽  
Stress Function ◽  
Infinite Strip ◽  
Order Ordinary Differential Equation ◽  
Orthogonal Functions

The problem involves the determination of a biharmonic generalized plane-stress function satisfying certain boundary conditions. We expand the stress function in a series of non-orthogonal eigenfunctions. Each of these is expanded in a series of orthogonal functions which satisfy a certain fourth-order ordinary differential equation and the boundary conditions implied by the fact that the sides are stress-free. By this method the coefficients involved in the biharmonic stress function corresponding to any arbitrary combination of stress on the end can be obtained directly from two numerical matrices published here The method is illustrated by four examples which cast light on the application of St Venant’s principle to the strip. In a further paper by one of the authors, the method will be applied to the problem of the finite rectangle.

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