Plastic Interaction Relationships for Square Hollow Structural Sections: Lower Bound Solution

2004 ◽  
Vol 130 (9) ◽  
pp. 1381-1391 ◽  
Author(s):  
Magdi Mohareb ◽  
Istemi F. Ozkan
Keyword(s):  
Lower Bound ◽  
Bound Solution ◽  
Hollow Structural Sections ◽  
Lower Bound Solution

scholarly journals Lower Bound Solution of Foundation Bearing Capacity beneath Strip Footing Based on Parabolic Mohr Failure Criterion

2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
Fang Wei ◽  
Shi Li-jun
Keyword(s):  
Lower Bound ◽  
Stress Field ◽  
Bearing Capacity ◽  
Yield Criterion ◽  
Rock Foundation ◽  
Allowable Stress ◽  
Bound Solution ◽  
Loading Tests ◽  
Lower Bound Solution ◽  
Two Parameter

The static allowable stress field of foundation under strip foundation is constructed by means of stress columns, and the calculation method of the lower bound foundation bearing capacity based on the two-parameter parabolic Mohr yield criterion is proposed. Moreover, the influence of the amount of stress columns and material mechanical parameters on the lower bound bearing capacity is analyzed. The results show that a better solution can be obtained by optimizing the static allowable stress field. However, the improvement of lower bound solution might be inefficient if the stress column amount is large enough. The stresses of the superimposition area show a reduction with the improvement of stress field; on the other hand, the superposed stresses are enhanced ever faster as the involved stress column increases. The tensile-compressive strength ratio has a moderate effect on the lower bound solution. Finally, the reliability of the proposed method is verified by some rock foundation loading tests.

scholarly journals Metal drawing goodness degree to which the Hollomon equation applies

2014 ◽  
Vol 20 (1) ◽  
pp. 61-71 ◽  
Author(s):  
Živko Jokovic ◽  
Nina Djapic
Keyword(s):  
Lower Bound ◽  
Tungsten Carbide ◽  
Wire Drawing ◽  
Control Group ◽  
Practical Application ◽  
Theoretical Methods ◽  
Bound Solution ◽  
Cold Wire ◽  
Lower Bound Solution ◽  
Hollomon Equation

In order to establish the cold wire drawing production, the CuNi2Si alloy passes schedule were examined by the Duckfield and Ermanok methods in two wire drawing versions: with the diamond die with an angle of 9o and the tungsten carbide die with an angle of 7o . Experiments confirmed that the CuNi2Si alloy can be successfully transformed to the wire with the diameter of 0.2 mm with properties enabling its practical application. The experimental results and the control group showed that the theoretical methods of the upper and lower bound solution can determine the values of the relevant cold wire drawing factors for the CuNi2Si alloy to which Hollomon curve applies. 

Lower Bounds to the Collapse Load of a Thick Circular Cylinder Subjected to Internal Pressure and Shear

1977 ◽  
Vol 44 (4) ◽  
pp. 766-768
Author(s):  
N. Inoue ◽  
H. Nakagawa ◽  
T. Nakayama ◽  
M. Shimono ◽  
T. Tanaka
Keyword(s):  
Lower Bound ◽  
General Solution ◽  
Circular Cylinder ◽  
Internal Pressure ◽  
Plane Strain ◽  
Lower Bounds ◽  
Mathematical Theory ◽  
Collapse Load ◽  
Bound Solution ◽  
Lower Bound Solution

A new method for obtaining statically admissible states of stress in plane strain in the mathematical theory of plasticity is presented. After deriving a general solution, the proposed procedure is exemplified by a known solution of a thick circular cylinder subjected to internal pressure. The method is applied to a thick circular cylinder subjected to internal pressure and shear, and a lower-bound solution is given.

Upper and Lower Bounds for Incipient Failure in a Body Under Gravitational Loading

2004 ◽  
Vol 71 (4) ◽  
pp. 586-589 ◽  
Author(s):  
J. A. Chamberlain, ◽  
D. J. Horrobin, ◽  
K. A. Landman, and ◽  
J. E. Sader
Keyword(s):  
Lower Bound ◽  
Lower Bounds ◽  
Upper And Lower Bounds ◽  
Two Dimensional ◽  
Numerical Work ◽  
Bound Solution ◽  
Rectangular Block ◽  
Gravitational Loading ◽  
Lower Bound Solution ◽  
Line Analysis

Recent numerical work has investigated incipient failure of yield stress materials under gravitational loading, for both the rectangular block and cylinder geometries [Chamberlain et al.; 2001, Int. J. Mech. Sci. 43(3):793-815, 2002, Int. J. Mech. Sci. 44(8):1779-1800]. While the rectangular block solution is exact, the cylinder solutions give lower bounds on the height of incipient failure. Consequently, we construct upper bound solutions for the height of incipient failure of a cylinder under gravitational loading. This closes the cylinder problem and quantifies the accuracy of the Haar-Karman hypothesis used in slip-line analysis. For completeness, we also give a simple lower bound solution for the cylinder, as well as upper and lower bound solutions for the two-dimensional rectangular block. These results have the advantage of being analytical, in contrast to the previous purely numerical results.

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