scholarly journals Plastic limit analysis and optimum design of structures for uncertain conditions.

PAMM ◽  
2016 ◽  
Vol 16 (1) ◽  
pp. 705-706
Author(s):  
Majid Movahedi Rad
Keyword(s):  
Optimum Design ◽  
Limit Analysis ◽  
Plastic Limit ◽  
Plastic Limit Analysis

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 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.

scholarly journals Safety Assessment of Masonry Arch Bridges Considering the Fracturing Benefit

2020 ◽  
Vol 10 (10) ◽  
pp. 3490 ◽  
Author(s):  
Federico Accornero ◽  
Giuseppe Lacidogna
Keyword(s):  
Fracture Mechanics ◽  
Bearing Capacity ◽  
Limit Analysis ◽  
Life Assessment ◽  
Plastic Limit ◽  
Masonry Arch ◽  
Fracturing Process ◽  
Plastic Limit Analysis ◽  
Elastic Fracture ◽  
Arch Bridges

The evolutionary analysis of the fracturing process is an effective tool to assess of the structural bearing capacity of masonry arch bridges. Despite their plain basic assumptions, it must be remarked that elastic analysis and plastic or limit analysis can hardly be used to describe the response and predict damage for moderate or service load levels in masonry arch bridges. Therefore, a fracture mechanics-based analytical method with elastic-softening regime for masonry is suitable in order to study the global structural behaviour of arch bridges, highlighting how the arch thrust line is affected by crack formation, and the maximum admissible load evaluated by means of linear elastic fracture mechanics is larger than the load predicted by elasticity theory. Such an increment in terms of bearing capacity of the arch bridge can be defined “fracturing benefit”, and it is analogous to the “plastic benefit” of the plastic limit analysis. The fracturing process, which takes into account the fracture initiation and propagation in the masonry arch bulk, occurs before the set-in of the conditions established by means of the plastic limit analysis. In the present paper, the study of the elastic-fracture-plastic transitions is performed for three monumental masonry arch bridges with different shallowness and slenderness ratios. This application returns an accurate and effective whole service life assessment of masonry arch bridges, and more in general it can be suitable for a great number of historical masonry structures still having strategic or heritage importance in the infrastructure systems.

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.

Limit analysis using the ellipsoid yield surface

1994 ◽  
Vol 445 (1925) ◽  
pp. 519-527
Keyword(s):  
Mathematical Programming ◽  
Yield Surface ◽  
Limit Analysis ◽  
Iteration Process ◽  
Mathematical Programming Problem ◽  
Plastic Limit ◽  
Polyester Composite ◽  
Plastic Limit Analysis ◽  
Element Technique ◽  
Kinematic Theorem

The ellipsoid yield surface can be applied to many engineering materials, such as metal, concrete, polyester, composite, etc. It is essential to establish an efficient method to carry out the plastic limit analysis of such media. Based on the classical kinematic theorem of plasticity theory and the finite element technique, a discrete mathematical programming formula is presented to determine the collapse load for materials with ellipsoid yield surface. The mathematical programming problem is solved by an efficient algorithm including an iteration process. The convergency of the algorithm is guaranteed. Numerical examples are presented and the results are reasonable and satisfactory.

Nonsmooth model for plastic limit analysis and its smoothing algorithm

2006 ◽  
Vol 27 (8) ◽  
pp. 1081-1088
Author(s):  
Jian-yu Li ◽  
Shao-hua Pan ◽  
Xing-si Li
Keyword(s):  
Limit Analysis ◽  
Smoothing Algorithm ◽  
Plastic Limit ◽  
Plastic Limit Analysis
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