scholarly journals A PROJECTION APPROACH TO THE NUMERICAL ANALYSIS OF LIMIT LOAD PROBLEMS

2011 ◽  
Vol 21 (06) ◽  
pp. 1291-1316 ◽  
Author(s):  
GUILLAUME CARLIER ◽  
MYRIAM COMTE ◽  
IOAN IONESCU ◽  
GABRIEL PEYRÉ
Keyword(s):  
Numerical Analysis ◽  
Gradient Descent ◽  
Numerical Scheme ◽  
Limit Load ◽  
Deformation Field ◽  
Dual Formulation ◽  
Strictly Convex ◽  
Convex Perturbation ◽  
Projection Approach

This paper proposes a numerical scheme to approximate the solution of (vectorial) limit load problems. The method makes use of a strictly convex perturbation of the problem, which corresponds to a projection of the deformation field under bounded deformation and incompressibility constraints. The discretized formulation of this perturbation converges to the solution of the original landslide problem when the amplitude of the perturbation tends to zero. The projection is computed numerically with a multi-step gradient descent on the dual formulation of the problem.

A NUMERICAL ANALYSIS OF A REACTION–DIFFUSION SYSTEM MODELING THE DYNAMICS OF GROWTH TUMORS

2010 ◽  
Vol 20 (05) ◽  
pp. 731-756 ◽  
Author(s):  
VERÓNICA ANAYA ◽  
MOSTAFA BENDAHMANE ◽  
MAURICIO SEPÚLVEDA
Keyword(s):  
Weak Solution ◽  
Numerical Analysis ◽  
Numerical Scheme ◽  
System Modeling ◽  
Reaction Diffusion ◽  
Reaction Diffusion System ◽  
Diffusion System ◽  
Existence Of Weak Solutions ◽  
Early Tumor ◽  
Volume Method

We consider a reaction–diffusion system of 2 × 2 equations modeling the spread of early tumor cells. The existence of weak solutions is ensured by a classical argument of Faedo–Galerkin method. Then, we present a numerical scheme for this model based on a finite volume method. We establish the existence of discrete solutions to this scheme, and we show that it converges to a weak solution. Finally, some numerical simulations are reported with pattern formation examples.

scholarly journals A Numerical Analysis of Selected Elastic-Plastic Fracture Parameters for DEN(T) Plates under Plane Strain Conditions

2017 ◽  
Vol 22 (1) ◽  
pp. 49-80 ◽  
Author(s):  
M. Graba
Keyword(s):  
Numerical Analysis ◽  
Fracture Mechanics ◽  
Plane Strain ◽  
Plastic Material ◽  
Crack Tip ◽  
Limit Load ◽  
Material Model ◽  
Crack Tip Opening Displacement ◽  
Opening Displacement ◽  
Elastic Plastic

Abstract This paper provides a numerical analysis of selected parameters of fracture mechanics for double-edge notched specimens in tension, DEN(T), under plane strain conditions. The analysis was performed using the elastic-plastic material model. The study involved determining the stress distribution near the crack tip for both small and large deformations. The limit load solution was verified. The J-integral, the crack tip opening displacement, and the load line displacement were determined using the numerical method to propose the new hybrid solutions for calculating these parameters. The investigations also aimed to identify the influence of the plate geometry and the material characteristics on the parameters under consideration. This paper is a continuation of the author’s previous studies and simulations in the field of elastic-plastic fracture mechanics [4, 6, 16, 17, 31].

Numerical Analysis for Resistance Calculations of NPL as a Floating Hull for Wave Glider

2014 ◽  
Vol 619 ◽  
pp. 38-43 ◽  
Author(s):  
Aladdin Elhadad ◽  
Wen Yang Duan ◽  
Rui Deng ◽  
H. Elhanfey
Keyword(s):  
Numerical Analysis ◽  
Mesh Generation ◽  
Numerical Scheme ◽  
Water Resistance ◽  
Numerical Predictions ◽  
Calm Water ◽  
Resistance Prediction ◽  
Wave Glider ◽  
Solution Parameters ◽  
Good Agreement

Thewave glideris an autonomous unmanned vehicle (AUV) which uses the power of the ocean to propel itself. The purpose of this study is using the well known slender modelNPLin developing hull in an attempt to design the floating hull ofwave glider.CFDandMaxsurfsoftware are used to present a method focused on mesh generation to predictcalm water resistancefor the hull. Calculations are carried out for Froude numbers in the range of 0.10 to 0.40. Three different mesh sizes are used forCFDto calculate the mesh effects. The results of numerical predictions under the same conditions obtained fromCFDandMaxsurfcalculations are obtained and compared for accuracy of the solution parameters. The comparison shows a good agreement between the results. The method is useful and acceptable and the overall numerical scheme is suitable for resistance prediction.

Gobi Inclined Excavation Based Numerical Analysis

2013 ◽  
Vol 459 ◽  
pp. 631-636
Author(s):  
Li Qin ◽  
Hai Jian Zhang
Keyword(s):  
Numerical Analysis ◽  
Tilt Angle ◽  
Limit Load ◽  
Optimal Measure

Gobi inclined excavation foundation is based the advantages of good direct excavation, this paper mainly studied the angle inclined excavation foundation problems. Through the force, the size of the displacement, the optimal measure the tilt angle. And determine the limit load in the text.

scholarly journals Analysis of Brace Stiffness Influence on Stability of the Truss

2015 ◽  
Vol 20 (1) ◽  
pp. 97-108 ◽  
Author(s):  
M. Krajewski ◽  
P. Iwicki
Keyword(s):  
Numerical Analysis ◽  
Normal Force ◽  
Limit Load ◽  
Load Bearing Capacity ◽  
Elastic Supports ◽  
Roof Truss ◽  
Eurocode 3 ◽  
Linear Buckling ◽  
Buckling Length ◽  
Linear Buckling Analysis

Abstract The paper is devoted to the numerical and experimental research of stability of a truss with side elastic supports at the top chord. The structure is a model of a real roof truss scaled by factor ¼. The linear buckling analysis and non-linear static analysis were carried out. The buckling length factor for the compressed top chord was calculated and the limit load for the imperfect truss shell model with respect to brace stiffness was obtained. The relation between brace normal force and loading of the truss is presented. The threshold stiffness of braces necessary to obtain the maximum buckling load was found. The truss load bearing capacity obtained from numerical analysis was compared with Eurocode 3 requirements.

scholarly journals New Regularization Models for Image Denoising with a Spatially Dependent Regularization Parameter

2013 ◽  
Vol 2013 ◽  
pp. 1-15 ◽  
Author(s):  
Tian-Hui Ma ◽  
Ting-Zhu Huang ◽  
Xi-Le Zhao
Keyword(s):  
Image Denoising ◽  
Hybrid Model ◽  
Numerical Experiments ◽  
Numerical Scheme ◽  
Regularization Parameter ◽  
Alternating Minimization ◽  
Convergence Properties ◽  
Strictly Convex ◽  
Nonconvex Problem ◽  
Minimization Scheme

We consider simultaneously estimating the restored image and the spatially dependent regularization parameter which mutually benefit from each other. Based on this idea, we refresh two well-known image denoising models: the LLT model proposed by Lysaker et al. (2003) and the hybrid model proposed by Li et al. (2007). The resulting models have the advantage of better preserving image regions containing textures and fine details while still sufficiently smoothing homogeneous features. To efficiently solve the proposed models, we consider an alternating minimization scheme to resolve the original nonconvex problem into two strictly convex ones. Preliminary convergence properties are also presented. Numerical experiments are reported to demonstrate the effectiveness of the proposed models and the efficiency of our numerical scheme.

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