Stability Analysis of Slope with Arbitrary Sliding Surface on Multi Strata Using Minimum Potential Energy Principle

2011 ◽  
Vol 250-253 ◽  
pp. 2588-2591 ◽  
Author(s):  
Shu Jie Wen ◽  
You Li ◽  
Xin Chen
Keyword(s):  
Stability Analysis ◽  
Slope Stability ◽  
Potential Energy ◽  
Safety Factor ◽  
Sliding Surface ◽  
Minimum Potential Energy ◽  
Energy Principle ◽  
Potential Energy Principle ◽  
Minimum Potential ◽  
Minimum Potential Energy Principle

As a rule,the natural slope is not homogeneous,and its sliding surface is arbitrary. However,the common slope stability analysis methods used to assume shape of sliding surface and slope homogeneity,and the calculation process is so complex that accuracy of results is decreasing.In this study,the potential energy function of sliding body is established for slope with arbitrary sliding surface on multi strata.Using minimum potential energy principle, the displacement of sliding body can be got. Then based on Moore - Coulomb criterion and condition of force equilibrium in the sliding direction, the safety factor can be got directly. Case studies show: ①This slope stability analysis methods is valid.② Different definition of safety factor leads to different analysis result.

A Global Extremum Principle in Mixed Form for Equilibrium Analysis With Elastic/Stiffening Materials (a Generalized Minimum Potential Energy Principle)

1994 ◽  
Vol 61 (4) ◽  
pp. 914-918 ◽  
Author(s):  
J. E. Taylor
Keyword(s):  
Potential Energy ◽  
Problem Formulation ◽  
Extremum Problem ◽  
Equilibrium Analysis ◽  
Minimum Potential Energy ◽  
Problem Statement ◽  
Energy Principle ◽  
Potential Energy Principle ◽  
Minimum Potential ◽  
Minimum Potential Energy Principle

An extremum problem formulation is presented for the equilibrium mechanics of continuum systems made of a generalized form of elastic/stiffening material. Properties of the material are represented via a series composition of elastic/locking constituents. This construction provides a means to incorporate a general model for nonlinear composites of stiffening type into a convex problem statement for the global equilibrium analysis. The problem statement is expressed in mixed “stress and deformation” form. Narrower statements such as the classical minimum potential energy principle, and the earlier (Prager) model for elastic/locking material are imbedded within the general formulation. An extremum problem formulation in mixed form for linearly elastic structures is available as a special case as well.

Analysis of Assumed Mooring Arrangement for Maritime Class Ship

1968 ◽  
Vol 5 (03) ◽  
pp. 257-266
Author(s):  
John L. Horton ◽  
Raymond A. Yagle
Keyword(s):  
Wind Tunnel ◽  
Potential Energy ◽  
Great Lakes ◽  
Minimum Potential Energy ◽  
Energy Principle ◽  
Wind Tunnel Tests ◽  
Potential Energy Principle ◽  
Minimum Potential ◽  
Minimum Potential Energy Principle

An assumed but routine mooring arrangement for a standard Great Lakes ship--in this case a Maritime Class vessel--is analyzed to ascertain what wind conditions would be sufficient to establish the sequence necessary to cause parting of one line, followed by parting of second and third lines and, finally, by full failure of the mooring arrangement. Wind-tunnel tests on a model of the ship are reviewed, and application of the minimum potential energy principle used in the analysis is illustrated.

Research on Ship Part Nesting System Based on Energy Principle and Intelligent Optimization

2013 ◽  
Vol 694-697 ◽  
pp. 2771-2774
Author(s):  
Xiang Qiang Zhong ◽  
Li Dong Liang ◽  
Yan Hong Yang
Keyword(s):  
Potential Energy ◽  
Physical Meaning ◽  
Minimum Potential Energy ◽  
Energy Principle ◽  
Intelligent Optimization ◽  
Potential Energy Principle ◽  
Minimum Potential ◽  
Nesting Problem ◽  
Minimum Potential Energy Principle ◽  
Intersection Test

A nesting system based on minimum potential energy principle and intelligent optimization for ship part nesting problem was proposed. Discussing polygon judgment and separation, intersection test and collision problems of ship parts, a kind of polygon overlap detection method was put forward, and contacting process was analyzed by use of envelope rectangle intersection test algorithm; During analyzing ship part nesting process based on minimum potential energy principle and genetic algorithm fusion, basic physical meaning of nesting problem was explained from mechanics. Throng intelligent ship part nesting system verification, the algorithm is feasible, physical meaning is clear; it can realize ship part nesting.

Study on the Influence of Thickness and Width on the Post-Buckling Deformation of Cold-Rolled Strip

2014 ◽  
Vol 941-944 ◽  
pp. 1773-1776
Author(s):  
Dong Cheng Wang ◽  
Xue Feng Zhou ◽  
Hong Min Liu
Keyword(s):  
Rolling Process ◽  
Rolled Strip ◽  
Analysis Method ◽  
Minimum Potential Energy ◽  
Energy Principle ◽  
Potential Energy Principle ◽  
Post Buckling ◽  
Minimum Potential ◽  
Cold Rolled ◽  
Minimum Potential Energy Principle

As a consequence of post-buckling due to high residual stresses caused by the cold-rolling process, long free thin strips frequently show excessive wavy surface. In this paper, a new analytical approach by extending a classic post-buckling analysis method based on the minimum potential energy principle is used to study on the influence of strip thickness and width on the post-buckling deformation for the center and edge wave. It is concluded that the thickness of the strip has significant effect on the flatness defects, while the width does not.

A COMPLEX VARIABLE MESHLESS MANIFOLD METHOD FOR FRACTURE PROBLEMS

2010 ◽  
Vol 07 (01) ◽  
pp. 55-81 ◽  
Author(s):  
HONGFEN GAO ◽  
YUMIN CHENG
Keyword(s):  
Complex Variable ◽  
Shape Function ◽  
Finite Cover ◽  
Minimum Potential Energy ◽  
Energy Principle ◽  
Cover System ◽  
Potential Energy Principle ◽  
Cover Systems ◽  
Minimum Potential ◽  
Minimum Potential Energy Principle

Based on the complex variable moving least-squares (CVMLS) approximation and the finite cover theory, the complex variable meshless manifold method (CVMMM) for fracture problems is presented in this paper. The CVMMM employs two cover systems which are the mathematical cover system and the physical cover system. The shape function in the CVMMM is derived with the CVMLS approximation and the finite cover theory. The finite cover theory is used to model cracks which lead to interior discontinuous displacements. At the tip of a crack of a problem, we use the analytical solution near the tip of a crack to extend the trial function of the CVMMM, then the corresponding approximation function is obtained. From the minimum potential energy principle, the corresponding formulae of the CVMMM for fracture problems are presented. Some numerical examples are presented to demonstrate the method in this paper.

On the Inflation of a Plane Nonlinear Membrane

1974 ◽  
Vol 41 (3) ◽  
pp. 767-771 ◽  
Author(s):  
W. W. Feng ◽  
P. Huang
Keyword(s):  
Potential Energy ◽  
Minimum Potential Energy ◽  
Equilibrium Equations ◽  
Energy Principle ◽  
Strain Energy Density Function ◽  
Total Potential ◽  
Minimum Potential ◽  
Minimum Potential Energy Principle ◽  
Admissible Functions ◽  
Nonlinear Membrane

The deformed configurations of an inflated flat nonlinear membrane are obtained by the minimum potential energy principle. The deformed configurations of the membrane are assumed to be represented by a series of geometric admissible functions with unknown coefficients. The unknown coefficients that minimize the total potential energy of the deformed membrane are determined by Fletcher and Powell’s [1] method. The strain-energy-density function for the numerical calculations is assumed to have the Mooney form. The results for a particular case when the Mooney membrane reduces to the neo-Hookean membrane, agree with the previous results obtained by numerical integration of the corresponding equilibrium equations.

Slope Stability Analysis of Elastic Limit Equilibrium Method

2013 ◽  
Vol 275-277 ◽  
pp. 1423-1426
Author(s):  
Lin Kuang ◽  
Ai Zhong Lv ◽  
Yu Zhou
Keyword(s):  
Stability Analysis ◽  
Slope Stability ◽  
Safety Factor ◽  
Slip Surface ◽  
Limit Equilibrium ◽  
Limit Equilibrium Method ◽  
Slope Stability Analysis ◽  
Sliding Surface ◽  
Tangential Stresses ◽  
Equilibrium Method

Based on finite element analysis software ANSYS, slope stability analysis is carried out by Elastic limiting equilibrium method proposed in this paper. A series of sliding surface of the slope can be assumed firstly, and then stress field along the sliding surface is analyzed as the slope is in elastic state. The normal and tangential stresses along each sliding surface can be obtained, respectively. Then the safety factor for each slip surface can be calculated, the slip surface which the safety factor is smallest is the most dangerous sliding surface. This method is different from the previous limit equilibrium method. For the previous limit equilibrium method, the normal and tangential stresses along the sliding surface are calculated based on many assumptions. While, the limit equilibrium method proposed in this paper has fewer assumptions and clear physical meaning.

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