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Numerical study of equal-channel angular pressing based on the element-free Galerkin method

  • Guan Yanjin , Zhao Guoqun and Lu Ping
Published/Copyright: May 15, 2013
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International Journal of Materials Research
From the journal International Journal of Materials Research Volume 103 Issue 11

Abstract

Based on the flow formulation for rigid–plastic/viscoplastic materials, a rigid–plastic/viscoplastic element-free Galerkin method is established to realize the simulation of massive metal-forming processes. Stiffness equations and solution formulae are derived in terms of the incomplete generalized variational principle. The transformation method is employed to exert the essential boundary condition in the local coordinate system. The arctangent frictional model is used to implement the frictional boundary conditions, and the transform matrix from the global coordinate system to local coordinate system is given. Being similar to finite-element simulations, the key techniques for metal-forming meshless analysis such as the treatment of the rigid region, dynamic adjustment of the boundary nodes, and treatment of volumetric locking are developed. The analysis software is developed. The equal-channel angular pressing process is simulated numerically using the software. The effective strains become larger and more uniform with increasing curve angle Ψ. On the other hand, the forming load increases greatly with the increase in the curve angle Ψ. The effective strains change slightly with the change of the frictional status between the die and the workpiece. However, the frictional status influences greatly the forming load.

Keywords: Element-free Galerkin method; Rigid – plastic/viscoplastic; Metal-forming; Equal-channel angular pressing; Numerical simulation
∗ Correspondence address Prof. Yanjin Guan, School of Materials Science and Engineering, Shandong University, Jinan, 250061, China, Tel.: 86-531-81 696 577, Fax: 86-531-88 392 811, E-mail:

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Received: 2011-4-19
Accepted: 2012-2-14
Published Online: 2013-05-15
Published in Print: 2012-11-01

© 2012, Carl Hanser Verlag, München

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https://doi.org/10.3139/146.110765
Keywords for this article
Element-free Galerkin method; Rigid – plastic/viscoplastic; Metal-forming; Equal-channel angular pressing; Numerical simulation

Articles in the same Issue

  1. Contents
  2. Contents
  3. Award/Preisverleihung
  4. The Werner-Köster-Preis 2011
  5. Original Contributions
  6. Ostwald ripening in Al–Li alloys: A test of theory
  7. The Mg–C phase equilibria and their thermodynamic basis
  8. Experimental and thermodynamic study of nickel (30 wt.%Cr) – based alloys containing between 2.5 and 5.0 wt.% carbon
  9. Thermodynamic description of the system Cu–Sn–P experimental and numerical investigation
  10. Severe tempering of bainite generated at low transformation temperatures
  11. A comparative study of microstructure, compressive, and fracture properties of Ti3Al-based intermetallics produced via powder metallurgy, and melting and casting processes
  12. Rod-like structure and microhardness during directional solidification of Sn-1wt.%Cu eutectic alloy
  13. Properties of Si3N4/SiC composites produced via spark plasma sintering
  14. Formation of Al67Cu23Fe10 quasicrystals by microwave heating
  15. Magnetoelectric characteristics of cobalt-iron alloy–lead zirconate titanate bilayer planar structures
  16. On the texture and grain growth in hot-deformed and annealed WE54 alloy
  17. Numerical study of equal-channel angular pressing based on the element-free Galerkin method
  18. Dynamic behavior of staggered triangular honeycomb cores under in-plane crushing loadings
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