Displacement Back Analysis Based on Return Mapping Algorithm and Differential Evolution Algorithm

2011 ◽  
Vol 301-303 ◽  
pp. 564-568
Author(s):  
Jun Xiang Wang ◽  
An Nan Jiang
Keyword(s):  
Finite Element ◽  
Differential Evolution ◽  
Differential Evolution Algorithm ◽  
Implicit Integration ◽  
Integration Algorithm ◽  
Mapping Algorithm ◽  
Return Mapping ◽  
Return Mapping Algorithm ◽  
Calculation Step ◽  
Evolution Algorithm

Differential evolution algorithm is a new global optimization algorithm. DE does not require an initial value, and it has rapid convergence, strong adaptability to a nonlinear function, the features of parallelcalculation, especially in adoption to the complex problem of multivariable optimization. The constitutive integration algorithm affecting the incremental calculation step, and convergence and accuracy of the results is a key of finite element analysis. It is usually divided into an explicit and implicit integration. Return mapping algorithm is an implicit integration to avoid solving the equivalent plastic strain directly so that we achieve a fast and accurate solution for the constitutive equations. Making use of DE and return mapping algorithm to program, the elasticplastic finite element simulation and parameter inversion, the inversion and simulation results are verificated, the results show that it is closed to the actual situation, indicating usefulness and correctness of the program.

Parameter Inversion of Return Mapping Algorithm in Tunnel Engineering

2011 ◽  
Vol 243-249 ◽  
pp. 3360-3363
Author(s):  
De Hai Yu ◽  
An Nan Jiang ◽  
Jun Xiang Wang
Keyword(s):  
Finite Element ◽  
Differential Evolution Algorithm ◽  
Tunnel Engineering ◽  
Finite Element Program ◽  
C Language ◽  
Mapping Algorithm ◽  
Return Mapping ◽  
Return Mapping Algorithm ◽  
Element Program ◽  
Evolution Algorithm

The self-developed finite element program on return mapping algorithm is used to the simulation of the true tunnel with C + + language, while the finite element program is embedded into differential evolution algorithm to achieve the inversion parameter. Applying to Line 1 of Dalian Metro, rock mechanics inversion parameters and true parameters are close, which indicates the superiority and good prospects of return mapping algorithm and different evolution algorithm, and it can be used for quantitative analysis of actual tunnel.

Intelligent Simulation and Recognition of Metro Station Excavation Based on Differential Evolution and Finite Element

2010 ◽  
Vol 168-170 ◽  
pp. 2641-2647
Author(s):  
An Nan Jiang ◽  
Jun Xiang Wang ◽  
De Hai Yu
Keyword(s):  
Finite Element ◽  
Differential Evolution ◽  
Yield Criterion ◽  
Differential Evolution Algorithm ◽  
Equivalent Plastic Strain ◽  
Back Analysis ◽  
Implicit Integration ◽  
Element Analysis ◽  
Integration Algorithm ◽  
Metro Station

Differential Evolution (DE) is a new algorithm. Displacement back analysis method based on the algorithm can effectively solve the problems of rock mechanics parameters which are not accurate. Constitutive integration algorithm divided into explicit and implicit integration is the key points of finite element analysis, which affect the convergence and accuracy of the results. Return mapping algorithm avoiding directly solving the equivalent plastic strain is a kind of implicit integration algorithm, which would achieve rapid and accurate for the solution of constitutive equations. This article describes the theoretical framework based on elastic-plastic, von Mises yield criterion conditions, using C + + language to carry out plastic simulation of Dalian metro station CRD excavation and parameter identification based on differential evolution algorithm. The calculated stress, displacement and deformation can determine the surface subsidence and the development of plastic zone, the stability analysis to provide a reference for the construction.

Fast Plastic Integration Algorithms for Forming Process Simulations

2014 ◽  
Vol 611-612 ◽  
pp. 1336-1343 ◽  
Author(s):  
Ali Halouani ◽  
Yu Ming Li ◽  
Boussad Abbès ◽  
Ying Qiao Guo
Keyword(s):  
Deformation Theory ◽  
Iterative Solution ◽  
Forming Process ◽  
Integration Algorithm ◽  
Mapping Algorithm ◽  
Return Mapping ◽  
Return Mapping Algorithm ◽  
Theory Of Plasticity ◽  
Process Simulations ◽  
Comparison Of The Results

This paper presents a fast plastic integration algorithm and compares it with other algorithms for forming process simulations. The iterative Return Mapping Algorithm (RMA) is widely used owing to its accuracy and efficiency, but it is still time consuming and may cause divergence problems. Another algorithm based on the Incremental Deformation Theory (IDT) was proposed, using the deformation theory of plasticity by piecewise; it is very fast but could not well consider the loading history, leading to notable errors. The new Direct Scalar Algorithm (DSA) based on the flow theory of plasticity is proposed in this paper. The basic idea is to transform the constitutive equations in terms of the unknown stress vectors into a scalar equation in terms of the equivalent stresses which can be determined by using the experimental tensile curve; thus, the plastic multiplier λ can be directly calculated without iterative solution. The DSA is a fast and robust plastic integration algorithm. The comparison of the results obtained by using the three algorithms shows the accuracy and efficiency of the DSA.

scholarly journals About an approximate method to solve the static boundary value problems in the isotropic hardening elastic-plastic solid

2006 ◽  
Vol 28 (2) ◽  
pp. 74-82
Author(s):  
Ngo Thanh Phong ◽  
Nguyen Thoi Trung ◽  
Nguyen Phu Vinh
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Approximate Method ◽  
Weak Form ◽  
Theory Model ◽  
Isotropic Hardening ◽  
Mapping Algorithm ◽  
Elastic Plastic ◽  
Return Mapping ◽  
Return Mapping Algorithm

The paper presents the theory, model, weak form, finite element method and return-mapping algorithm for the isotropic hardening elastic-plastic problem. Then applying the algorithm to numerically simulate a variety of plane strain problems.

Applying Bionic Intelligent Algorithm Combined with Finite Element Method to Optimize Cable

2013 ◽  
Vol 380-384 ◽  
pp. 1629-1632
Author(s):  
Zhi Peng Jiang ◽  
Xi Shan Wen ◽  
Xiao Qing Yuan
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Particle Swarm Optimization ◽  
Differential Evolution ◽  
Differential Evolution Algorithm ◽  
Particle Swarm ◽  
Intelligent Algorithm ◽  
Swarm Optimization ◽  
Evolution Algorithm ◽  
Element Method

The paper adopts bionic intelligent algorithm including particle swarm optimization and differential evolution algorithm combined with finite element method to optimize cable on the platform of ANSYS finite element soft. Parametric programming of a single-phase cable and a three-phase cable is accomplished to optimize the maximum electric field strength of cable insulation layer by using particle swarm optimization and differential evolution algorithm combined with finite element method, that provides enlightenment for optimizing high-voltage equipment in other aspects of electromagnetic field.

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