Note on time bounds of two-phase algorithms for L-convex function minimization

2017 ◽  
Vol 34 (2) ◽  
pp. 429-440
Author(s):  
Kazuo Murota ◽  
Akiyoshi Shioura
Keyword(s):  
Convex Function ◽  
Function Minimization ◽  
Two Phase ◽  
Time Bounds

M-Convex Function Minimization by Continuous Relaxation Approach: Proximity Theorem and Algorithm

2011 ◽  
Vol 21 (3) ◽  
pp. 633-668 ◽  
Author(s):  
Satoko Moriguchi ◽  
Akiyoshi Shioura ◽  
Nobuyuki Tsuchimura
Keyword(s):  
Convex Function ◽  
Function Minimization ◽  
Continuous Relaxation

Effect of Shock Loading on the Microstructure of Uniloy 326

1974 ◽  
Vol 32 ◽  
pp. 504-505
Author(s):  
K. P. Staudhammer ◽  
L. E. Murr
Keyword(s):  
Grain Size ◽  
Shock Loading ◽  
Current Investigation ◽  
Two Phase ◽  
05 C ◽  
Shock Deformation ◽  
Heat Treated

The effect of shock loading on a variety of steels has been reviewed recently by Leslie. It is generally observed that significant changes in microstructure and microhardness are produced by explosive shock deformation. While the effect of shock loading on austenitic, ferritic, martensitic, and pearlitic structures has been investigated, there have been no systematic studies of the shock-loading of microduplex structures.In the current investigation, the shock-loading response of millrolled and heat-treated Uniloy 326 (thickness 60 mil) having a residual grain size of 1 to 2μ before shock loading was studied. Uniloy 326 is a two phase (microduplex) alloy consisting of 30% austenite (γ) in a ferrite (α) matrix; with the composition.3% Ti, 1% Mn, .6% Si,.05% C, 6% Ni, 26% Cr, balance Fe.

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