A dynamic relaxation finite-element method for metal forming processes

Chou, Pei Chi; Wu, Longwu

doi:10.1016/0020-7403(86)90071-8

Cited by 18 publications

(2 citation statements)

References 16 publications

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“…A detailed discussion of the method can be found in Underwood [16]. Chou [17] applied the method in FEM simulation of metal forming. To briefly describe the method, the dynamic equation is considered…”

Section: Computation Of Spring-back Anglementioning

confidence: 99%

Effective Models for Prediction of Springback In Flanging

Song

Qian

Cao

et al. 2000

Journal of Engineering Materials and Technology

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A study on the prediction of springback angle is presented, with focus on the straight flanging operation. The objective of this work is to evaluate the reliability of different methods of prediction. An experiment of straight flanging operation is conducted. Major prediction approaches such as analytical model, numerical simulation using the Finite Element Method (FEM) and the Meshfree Method using the Reproducing Kernel Particle Methods (RKPM) are discussed. A set of sample problems is computed and comparisons are made with the experiment. The numerical analysis shows that the prediction from the 3D meshfree contact code matches well with the data from the FEM 2D solid model. A material property described by the kinematic hardening law provides a better prediction of springback than the isotropic hardening law.

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Section: Computation Of Spring-back Anglementioning

confidence: 99%

Effective Models for Prediction of Springback In Flanging

Song

Qian

Cao

et al. 2000

Journal of Engineering Materials and Technology

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“…e Dynamic Relaxation (DR) method is a way of finding the equilibrium solution for the static problem through the damping effect of the dynamic system. Since the method was proposed in the 1960s [1,2], it has been improved and applied in many fields [3][4][5], especially in structural mechanics such as plate analysis [6][7][8], frame and truss analysis [9], cable membrane structures [10][11][12], actively bent structures [13,14], and postbuckling analysis [15]. Recently, Rezaiee-Pajand et al [16] made a good summary in the structural applications of DR.…”

Section: Introductionmentioning

confidence: 99%

Implementation of Complex Position Constraints in the Kinetic Dynamic Relaxation Method

Liu

You

Han

2020

Mathematical Problems in Engineering

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The traditional Kinetic Dynamic Relaxation (KDR) method can only deal with simple constraints such as the fixed joints, which restricts its practical applications. This study has proposed a new algorithm to implement the complex position constraints in KDR. The proposed algorithm is developed by transforming the position constraints to the acceleration form through combining time differentiation and Taylor expansion with dimensional analysis, and then solving the governing equation of the constraint forces with the Newton’s 2nd law. For the nonlinear constraints, projection technique is applied to avoid the drift-off phenomenon. Several tests have been performed to verify the proposed algorithm. The numerical results show the algorithm is adaptive in both linear and nonlinear problems and works efficiently.

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