Consistent linearization and finite element implementation of an incrementally objective canonical form return mapping algorithm for large deformation inelasticity

2008 ◽  
Vol 75 (6) ◽  
pp. 690-708 ◽  
Author(s):  
T. Seifert ◽  
G. Maier
Keyword(s):  
Finite Element ◽  
Large Deformation ◽  
Canonical Form ◽  
Mapping Algorithm ◽  
Finite Element Implementation ◽  
Return Mapping ◽  
Return Mapping Algorithm ◽  
Consistent Linearization

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.

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.

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.

Meshless Analyses of Fracture, Plasticity and Impact

2003 ◽  
Author(s):  
A. Eskandarian ◽  
Y. Chen ◽  
M. Oskard ◽  
J. D. Lee
Keyword(s):  
High Speed ◽  
Large Strain ◽  
Plastic Response ◽  
Governing Equations ◽  
Mapping Algorithm ◽  
High Speed Impact ◽  
Return Mapping ◽  
Return Mapping Algorithm ◽  
Large Strain Plasticity ◽  
Computational Plasticity

The governing equations for rate-independent large strain plasticity are formulated in the framework of meshless method. The numerical procedures, including return mapping algorithm, to obtain the solutions of boundary-value problems in computational plasticity are outlined. The crack growth process in elastic-plastic solid under plane strain conditions is analyzed. The large strain plastic response of material under high-speed impact is simulated. Numerical results are presented and discussed.

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