Numerical Method for Lower-Bound Solution of the Rigid-Plastic Limit Analysis Problem

2001 ◽  
Vol 127 (11) ◽  
pp. 1075-1081 ◽  
Author(s):  
C. K. Soh ◽  
T. K. Chan ◽  
S. K. Yu
Keyword(s):  
Lower Bound ◽  
Numerical Method ◽  
Limit Analysis ◽  
Plastic Limit ◽  
Rigid Plastic ◽  
Analysis Problem ◽  
Bound Solution ◽  
Plastic Limit Analysis ◽  
Lower Bound Solution

Study of Lower Bound Method for Plastic Limit Analysis of Wedge on Consideration of Anchor Bolt

2013 ◽  
Vol 444-445 ◽  
pp. 966-970
Author(s):  
Zhi Lin Liang ◽  
Ze Li
Keyword(s):  
Lower Bound ◽  
Limit Analysis ◽  
Programming Model ◽  
Yield Condition ◽  
Plastic Limit ◽  
Rocky Slope ◽  
Plastic Limit Analysis ◽  
Structural Surface ◽  
The Stability ◽  
Lower Bound Theory

The massive rock slope is made up of rocks and structural surface. The existence and strength of the structural surface decides the stability of the rock mass. By adopting the lower bound method for the plastic limit analysis of wedge slope, we can easily calculate the stability of the rocky slope under various circumstances. To apply this method, we first took the wedge-shaped slide block as a complex of rigid block and structural surface for the analysis of the slope stress under the function of anchor bolts, the integrated function of rocks and structural surfaces being considered. Then, on the basis of the lower bound theory for the plastic limit analysis, a mathematical programming model which takes safety factor of slope stability as the object function is established. This model has to meet the equilibrium condition of the bolt, the Mohr-Coulomb yield condition and the boundary condition of slope. In the end, a classic model of wedge is analyzed and its lower bound solution is worked out. This result is compared to the result worked out by limiting equilibrium to test the validity of the measure and procedure used in this paper.

Three-Dimensional Analysis of Ice Sheet Indentation: Lower-Bound Solutions

1988 ◽  
Vol 110 (1) ◽  
pp. 81-86 ◽  
Author(s):  
D. G. Karr
Keyword(s):  
Lower Bound ◽  
Sea Ice ◽  
Plane Strain ◽  
Plane Stress ◽  
Limit Analysis ◽  
Three Dimensional ◽  
Ice Sheet ◽  
Plastic Limit ◽  
Aspect Ratios ◽  
Plastic Limit Analysis

The methods of plastic limit analysis are used to determine the indentation pressures of a flat rigid punch on a columnar ice sheet. The ice sheet is idealized as a semi-infinite layer of elastic-perfectly plastic material. Representative strength parameters of columnar sea ice are used to define anisotropic yield criteria for the ice sheet. The anisotropic yield criteria reflect the variations in mechanical properties caused by the horizontal orientation of the c-axis of sea ice in the columnar zone. Numerical results are obtained by applying the lower-bound theorem of plastic limit analysis. A three-dimensional stress field is optimized for a given ice condition for various indentor sizes. The effects of varying the aspect ratio (defined as the ratio of indentor width to ice thickness) are then addressed. A comparison of results for intermediate aspect ratios to results for extremely high (plane stress) and extremely low (plane strain) aspect ratios is presented. It is found that the transition from plane stress to plane strain is governed by the tensile strength of the ice medium.

A Numerical Approach for Lower Bound Limit Analysis

2014 ◽  
Vol 626 ◽  
pp. 474-481
Author(s):  
Ying Hua Liu ◽  
Bing Ye Xu ◽  
Xian He Du
Keyword(s):  
Finite Element ◽  
Lower Bound ◽  
Limit Analysis ◽  
Yield Criterion ◽  
Numerical Procedure ◽  
Mathematical Programming Problem ◽  
Plastic Limit ◽  
Active Constraint ◽  
Plastic Limit Analysis ◽  
Lower Bound Limit Analysis

In this paper, a numerical procedure for plastic limit analysis of 3-D elastic-perfectly plastic bodies under complex loads is presented. The method is based on the lower-bound limit theorem and von Mises yield criterion so that the lower-bound limit analysis can be conducted by solving a nonlinear mathematical programming problem. A SQP algorithm and a dimension reduction-based technique are used to solve the discretized finite element optimization formulation. A conception of active constraint set is introduced, so that the number of constraints can be reduced greatly. The basis vectors of reduced residual stress spaces are constructed by performing an equilibrium iteration procedure of elasto-plastic finite element analysis. The numerical procedure is applied to carry out the plastic limit analysis of pipelines with part-through slots under internal pressure, bending moment and axial force. The effects of different sizes of part-through slots on the limit loads of pipelines are studied.

Plastic limit analysis with non linear kinematic strain hardening for metalworking processes applications

2011 ◽  
Vol 25 (11) ◽  
pp. 2859-2870 ◽  
Author(s):  
Ali Chaaba ◽  
Lahbib Bousshine ◽  
Mohamed Aboussaleh ◽  
Hassan El Boudaia
Keyword(s):  
Strain Hardening ◽  
Limit Analysis ◽  
Plastic Limit ◽  
Non Linear ◽  
Plastic Limit Analysis

scholarly journals A Numerical Method for the Limit Analysis of General Shells of Revolution : 2nd Report, Lower Bound Method

1978 ◽  
Vol 21 (151) ◽  
pp. 13-19
Author(s):  
Hiroshi NAKANISHI ◽  
Megumu SUZUKI ◽  
Minoru HAMADA
Keyword(s):  
Lower Bound ◽  
Numerical Method ◽  
Limit Analysis ◽  
Shells Of Revolution

scholarly journals Reliability Based Analysis and Optimum Design of Laterally Loaded Piles

2017 ◽  
Author(s):  
Majid Movahedi Rad
Keyword(s):  
Limit Analysis ◽  
Strain Energy ◽  
Load Capacity ◽  
Optimization Procedure ◽  
Load Parameter ◽  
Plastic Limit ◽  
Laterally Loaded Piles ◽  
Plastic Limit Analysis ◽  
Complementary Strain ◽  
Laterally Loaded

In this study reliability based limit analysis is used to determine the ultimate capacity of laterally loaded piles.  The aim of this study is to evaluate the lateral load capacity of free-head and fixed-head long pile when plastic limit analysis is considered. In addition to the plastic limit analysis to control the plastic behaviour of the structure, uncertain bound on the complementary strain energy of the residual forces is also applied. This bound has significant effect for the load parameter. The solution to reliability-based problems is based on a direct integration technique and the uncertainties are assumed to follow Gaussian distribution. The optimization procedure is governed by the reliability index calculation.

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