Application of rigid(visco)–plastic element free Galerkin method to simulation of plane strain forming

Combining element free Galerkin method with rigid/visco-plastic flow theory, the paper establishes the three-dimensional rigid/visco-plastic element free Galerkin method, and introduces it to analyze three-dimensional bulk metal forming processes. The velocity field is approximated by MLS method. Employing the incomplete generalized variation principle, stiffness matrix equation and solution formulas are derived. And STL format discrete triangular patches are used to describe the mould cavity. An analysis program for simulating three-dimensional bulk metal forming processes is developed. The program is capable of simulating three-dimensional unsteady bulk metal forming processes with severe deformation and arbitrarily shaped dies. A numerical example is analyzed. Numerical results such as material flow patterns and distributions of the effective stress are obtained. The effectiveness and validity of the proposed method and techniques are demonstrated by comparing with results obtained by using commercial finite element software.

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Application of the element free Galerkin method to the simulation of plane strain rolling

European Journal of Mechanics - A/Solids ◽

10.1016/j.euromechsol.2003.10.002 ◽

2004 ◽

Vol 23 (1) ◽

pp. 77-93 ◽

Cited By ~ 20

Author(s):

Shangwu Xiong ◽

J.M.C. Rodrigues ◽

P.A.F. Martins

Keyword(s):

Galerkin Method ◽

Plane Strain ◽

Element Free Galerkin Method ◽

Element Free Galerkin ◽

Element Free

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Elasto-plastic element-free Galerkin method

Computational Mechanics ◽

10.1007/s00466-003-0521-5 ◽

2004 ◽

Vol 33 (3) ◽

pp. 206-214 ◽

Cited By ~ 18

Author(s):

M. H. Kargarnovin ◽

H. E. Toussi ◽

S. J. Fariborz

Keyword(s):

Galerkin Method ◽

Element Free Galerkin Method ◽

Element Free Galerkin ◽

Plastic Element ◽

Element Free

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Application of an Element-free Galerkin Method to Water Wave Propagation Problems

Archives of Hydro-Engineering and Environmental Mechanics ◽

10.2478/heem-2013-0010 ◽

2014 ◽

Vol 60 (1-4) ◽

pp. 87-105 ◽

Cited By ~ 3

Author(s):

Ryszard Staroszczyk

Keyword(s):

Wave Propagation ◽

Galerkin Method ◽

Present Model ◽

Free Surface Elevation ◽

Element Free Galerkin Method ◽

Plane Flow ◽

Element Free Galerkin ◽

Proposed Model ◽

Sloping Bed ◽

Element Free

Abstract The paper is concerned with the problem of gravitational wave propagation in water of variable depth. The problem is solved numerically by applying an element-free Galerkin method. First, the proposed model is validated by comparing its predictions with experimental data for the plane flow in water of uniform depth. Then, as illustrations, results of numerical simulations performed for plane gravity waves propagating through a region with a sloping bed are presented. These results show the evolution of the free-surface elevation, displaying progressive steepening of the wave over the sloping bed, followed by its attenuation in a region of uniform depth. In addition, some of the results of the present model are compared with those obtained earlier by using the conventional finite element method.

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