Fourth-Order Elastic Constant, C1111, of Cubic Crystals

1982 ◽  
Vol 112 (2) ◽  
pp. 627-631 ◽  
Author(s):  
O. H. Prasad ◽  
M. Suryanarayana
Keyword(s):  
Elastic Constant ◽  
Fourth Order ◽  
Cubic Crystals ◽  
Order Elastic Constant

Fourth-order shear elastic constant assessment in quasi-incompressible soft solids

2008 ◽  
Vol 93 (10) ◽  
pp. 101912 ◽  
Author(s):  
Mathieu Rénier ◽  
Jean-Luc Gennisson ◽  
Christophe Barrière ◽  
Daniel Royer ◽  
Mathias Fink.
Keyword(s):  
Elastic Constant ◽  
Fourth Order ◽  
Soft Solids

Third-Order Elastic Constant c. in Lithium Fluoride

1968 ◽  
Vol 51 (10) ◽  
pp. 603-603 ◽  
Author(s):  
J. R. ARCHER ◽  
W. E. MOODY ◽  
A. L. STANFORD
Keyword(s):  
Elastic Constant ◽  
Lithium Fluoride ◽  
Third Order ◽  
Order Elastic Constant

scholarly journals A CAS Approach to Handle the Anisotropic Hooke’s Law for Cancellous Bone and Wood

2014 ◽  
Vol 2014 ◽  
pp. 1-28
Author(s):  
Sandeep Kumar
Keyword(s):  
Data Analysis ◽  
Elastic Constant ◽  
Cancellous Bone ◽  
Elastic Constants ◽  
Fourth Order ◽  
Elasticity Tensor ◽  
Eigenvalues And Eigenvectors ◽  
Hardwood Species ◽  
Maple Code ◽  
Softwood Species

The present research entirely relies on the Computer Algebric Systems (CAS) to develop techniques for the data analysis of the sets of elastic constant data measurements. In particular, this study deals with the development of some appropriate programming codes that favor the data analysis of known values of elastic constants for cancellous bone, hardwoods, and softwood species. More precisely, a “Mathematica” code, which has an ability to unfold a fourth-order elasticity tensor is discussed. Also, an effort towards the fabrication of an appropriate “MAPLE” code has been exposed, that can calculate not only the eigenvalues and eigenvectors for cancellous bone, hardwoods, and softwood species, but also computes the nominal average of eigenvectors, average eigenvectors, average eigenvalues, and the average elasticity matrices for these materials. Further, using such a MAPLE code, the histograms corresponding to average elasticity matrices of 15 hardwood species have been plotted and the graphs for I, II, III, IV, V, and VI eigenvalues of each hardwood species against their apparent densities are also drawn.

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