Improved analytical solution for toppling stability analysis of rock slopes

2008 ◽  
Vol 45 (8) ◽  
pp. 1361-1372 ◽  
Author(s):  
C.H. Liu ◽  
M.B. Jaksa ◽  
A.G. Meyers
2019 ◽  
Author(s):  
Rachel Capps ◽  
◽  
Scott Brame ◽  
Audrey Crafton

2013 ◽  
Author(s):  
Jingjing Meng ◽  
Ping Cao ◽  
Ke Zhang

2016 ◽  
Vol 3 (1) ◽  
pp. 1206692
Author(s):  
Pratibha Rani ◽  
Divya Jain ◽  
Vinod Prakash Saxena ◽  
Ryan Loxton

Author(s):  
Peter Vadasz

The failure of the linear stability analysis to predict accurately the transition point from steady to chaotic solutions in porous media natural convection motivates this study. A weak non-linear solution to the problem is shown to produce an accurate analytical expression for the transition point as long as the validity condition and consequent accuracy of the latter solution is fulfilled. The analytical results are compared to accurate computational solutions showing an excellent fit within the validity domain of the analytical solution.


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