Three-dimensional collapse mechanism and failure probability analysis of deep-buried tunnel based on the upper bound theorem of limit analysis and Hoek-Brown failure criterion

2022 ◽  
Vol 15 (2) ◽  
Author(s):  
Dexin Lei ◽  
Lingli Xie ◽  
Li Wu
Keyword(s):  
Failure Probability ◽  
Upper Bound ◽  
Limit Analysis ◽  
Failure Criterion ◽  
Three Dimensional ◽  
Probability Analysis ◽  
Collapse Mechanism ◽  
Upper Bound Theorem ◽  
Bound Theorem

Passive earth-pressure coefficients by upper-bound numerical limit analysis

2011 ◽  
Vol 48 (5) ◽  
pp. 767-780 ◽  
Author(s):  
Armando N. Antão ◽  
Teresa G. Santana ◽  
Mário Vicente da Silva ◽  
Nuno M. da Costa Guerra
Keyword(s):  
Upper Bound ◽  
Limit Analysis ◽  
Pressure Ratio ◽  
Three Dimensional ◽  
Earth Pressure ◽  
Wall Friction ◽  
Passive Earth Pressure ◽  
Upper Bound Theorem ◽  
Pressure Coefficients ◽  
Bound Theorem

A three-dimensional (3D) numerical implementation of the limit analysis upper-bound theorem is used to determine passive horizontal earth-pressure coefficients. An extension technique allowing determination of the 3D passive earth pressures for any width-to-height ratios greater than 7 is presented. The horizontal passive earth-pressure coefficients are presented and compared with solutions published previously. Results of the ratio between the 3D and two-dimensional horizontal passive earth-pressure coefficients are shown and found to be almost independent of the soil-to-wall friction ratio. A simple equation is proposed for calculating this passive earth-pressure ratio.

An Analytical Approach to the Problem of Core Fracture During Extrusion of Bimetal Rods

1985 ◽  
Vol 107 (3) ◽  
pp. 247-253 ◽  
Author(s):  
B. Avitzur ◽  
R. Wu ◽  
S. Talbert ◽  
Y. T. Chou
Keyword(s):  
Upper Bound ◽  
Limit Analysis ◽  
Analytical Approach ◽  
Upper Bound Theorem ◽  
Numerical Computations ◽  
Bound Theorem

The process of core fracture in bimetals during extrusion was reexamined. The new analysis, based on the upper-bound theorem in limit analysis, eliminated the lengthy numerical computations employed in the previous work [1]. The criterion for core fracture was derived and discussed.

scholarly journals Three-Dimensional Collapse Analysis for a Shallow Cavity in Layered Strata Based on Upper Bound Theorem

2020 ◽  
Vol 124 (1) ◽  
pp. 375-391
Author(s):  
Hongtao Wang ◽  
Ping Liu ◽  
Lige Wang ◽  
Chi Liu ◽  
Xin Zhang ◽  
...  
Keyword(s):  
Upper Bound ◽  
Three Dimensional ◽  
Upper Bound Theorem ◽  
Collapse Analysis ◽  
Shallow Cavity ◽  
Bound Theorem

Three-Dimensional Analysis of Ice Sheet Indentation: Limit Analysis Solutions

1989 ◽  
Vol 111 (1) ◽  
pp. 63-69 ◽  
Author(s):  
D. G. Karr ◽  
J. C. Watson ◽  
M. HooFatt
Keyword(s):  
Upper Bound ◽  
Limit Analysis ◽  
Plastic Material ◽  
Yield Criterion ◽  
Three Dimensional ◽  
Ice Sheet ◽  
Upper Bound Theorem ◽  
Infinite Layer ◽  
Perfectly Plastic ◽  
Aspect Ratios

A method is presented for determining the collapse pressures of an ice sheet subjected to a uniformly distributed edge load by applying the upper-bound theorem of limit analysis. The ice sheet is idealized as a semi-infinite layer of elastic-perfectly plastic material. A quadratic anisotropic yield criterion is used to calculate the indentation pressures. The ice sheet consists of columnar ice and is assumed isotropic in the plane of the ice sheet. Upper-bound solutions are found by optimizing a three-dimensional discontinuous velocity field representing an assumed collapse pattern of the ice sheet. Solutions are based on various ratios of indentor width to ice thickness, thereby providing an envelope of indentation pressures over a range of aspect ratios, from conditions of plane strain to plane stress. Solutions are then compared with corresponding two and three-dimensional lower-bound analyses.

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