A Generalised Upper Bound Solution for Three-Dimensional Extrusion of Shaped Sections Using Cad-Cam Bilinear Surface Dies

Chitkara, N.R.; Abrinia, Karen

doi:10.1007/978-1-349-10890-9_57

Cited by 20 publications

(5 citation statements)

References 8 publications

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“…2(b)). For the formulation here the theory presented by (Chitkara and Abrinia, 1990;Abrinia and Zare, 2003) has been adopted and modified. A general material point such as P will move on a stream line such as CC .…”

Section: Fig 1 -A View Of the Extrusion Process For The Rectangular mentioning

confidence: 99%

“…Curved die profiles were described by continuous functions by which smooth transitions of the die surface from the entrance to the exit were obtained. Chitkara and Abrinia (1990) gave a generalized upper bound solution for the forward extrusion of shaped sections in which CAD-CAM mathematical relations were incorporated. They presented an admissible velocity field which automatically satisfied the incompressibility condition regardless of the geometry of the die or the deformation zone.…”

Section: Introductionmentioning

confidence: 99%

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A new three-dimensional solution for the extrusions of sections with larger dimensions than the initial billet

Abrinia¹,

Makaremi²

2008

Journal of Materials Processing Technology

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Extrusion Shaped sections Spread extrusion Converging and diverging surfaces Upper bound Material flow Velocity field FEM analysis a b s t r a c tA new analysis for the three-dimensional solution for the extrusion of sections with larger dimensions than the initial billet or container is presented in this paper. A generalized kinematically admissible velocity field was formulated using the upper bound theorem.The problem tackled in this paper is a practical one encountered in the extrusion industry where for the production of sections whose dimensions are larger than the container or billet diameter there exist some difficulties and sometime it is impossible to produce such products. The solution to this problem was suggested in a new design for the extrusion die which was done using the upper bound analysis. In this design unlike flat-faced dies the material has to flow over two kinds of surfaces namely converging and diverging surfaces, the combination of which causes the material flow in a smooth manner and with the correct speed so that the required final shape would be achieved. For such geometries kinematically admissible velocity fields were obtained. Using this new formulation, extrusion of shapes such as square and rectangle were analyzed. Influence of the process parameters such as friction, extrusion ratio and aspect ratio on the extrusion load was investigated and the optimum die length was obtained. Finite element analysis for the same problem was also carried out and the comparison of the results showed good agreement. The finite element simulation was especially used to assist the theoretical analysis with regards to the material flow and filling of the die cavity. Based on the analytical results, extrusion dies for the rectangular sections were designed and manufactured and experiments were carried out.The results of the tests showed that the dies performed very well and complete filling of the die cavity and a successful extruded profile was observed.

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Section: Fig 1 -A View Of the Extrusion Process For The Rectangular mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A new three-dimensional solution for the extrusions of sections with larger dimensions than the initial billet

Abrinia¹,

Makaremi²

2008

Journal of Materials Processing Technology

Self Cite

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show abstract

“…They have also taken into the account of the strain hardening effect. Chitkara and Avirinlv [11] have developed a generalized method based on the streamlined die design for analyzing three dimensional extrusions of arbitrarily shaped sections through straightly converging dies. The longitudinal velocity distributions over the given cross sectional area have been investigated by Kiuchi and Hoshino [12].…”

Section: Introductionmentioning

confidence: 99%

Computer-aided metal flow investigation in streamlined extrusion dies

Ponalagusamy¹,

Narayanasamy²,

Venkatesan³

et al. 2008

Materials & Design

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“…They obtained kinematically admissible velocity field in deformation zone and calculated the effects of die geometry, friction and material properties on the material flow pattern and extrusion pressure. Chitkara and Abrinia introduced a general velocity field in cylindrical coordinate [2]. This proposed velocity field was kinematically adjustable with the boundary conditions of the entry and exit sections and the die surface.…”

Section: Introductionmentioning

confidence: 99%

A New Theoretical Method for Analysis the Material Flow Pattern in Forward Extrusion

Saghafi

Abrinia

2012

AMR

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Material flow pattern in extrusion is an important part of the forming process. Understanding and formulating the material flow helps to determine the optimum shape of the die and important details of the process. In this paper, physical modelling of forward extrusion of non-symmetric L-shape section has been carried out to obtain an experimental understanding of the material flow pattern. A theoretical formulation using the conformal mapping theory has also been presented to predict the material flow pattern. The conformal mapping function was set up to translate the non-circular cross-section region of special-shaped products into unit dish. The results for the material flow pattern for the forward extrusion of L shaped profile from circular billets are presented here. In the physical modelling tests plasticine was used as the model material and different coloured layers of plasticine were used to build up the billet. Experimental and theoretical results were compared and good agreements were observed.

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A Generalised Upper Bound Solution for Three-Dimensional Extrusion of Shaped Sections Using Cad-Cam Bilinear Surface Dies

Cited by 20 publications

References 8 publications

A new three-dimensional solution for the extrusions of sections with larger dimensions than the initial billet

A new three-dimensional solution for the extrusions of sections with larger dimensions than the initial billet

Computer-aided metal flow investigation in streamlined extrusion dies

A New Theoretical Method for Analysis the Material Flow Pattern in Forward Extrusion

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