Eulerian formulation with Volume Of Solid (VOS) application to metal forming
department or school: Applied Science, Faculty of
department or school: Mechanical Engineering, Department of
data provider: DSpace
degree campus: UBCV
creator: Al-Athel, Khaled S.
issued: 2010-09-28T19:15:08Z
issued: 2010
related degree: Doctor of Philosophy - PhD
degree grantor: University of British Columbia
description: The volume of fluid (VOF) method has been used extensively in computational fluid dynamics (CFD) applications. The method is used to track the unconstrained flow of the fluid at the free surface in an Eulerian formulations framework. In this work we propose the use of the VOF method in nonlinear solid mechanics and metal forming applications, therefore the new method is called the Volume of Solid (VOS) method. The VOS method is to be used with Eulerian finite element (FE) formulations. In Eulerian formulation, the mesh is fixed in space and the material flows freely within the domain. This type of formulation overcomes many difficulties that are associated with other FE formulations such as mesh distortion and the need for re-meshing or a proper mesh motion scheme. The main drawback of the Eulerian formulation is the difficulty in tracking the unconstrained flow of the material at the free boundaries; therefore an additional scheme is needed to overcome this problem. The derivation of the VOS equations and its implementation in an Eulerian formulation along with applications in metal forming and metal cutting are the main goals of this research. In this work, we present the derivation of the Eulerian quasi-static and dynamic equilibrium equations. The complete development of the VOS method is presented for the commonly used uniform mesh using a piecewise linear interface construction method, and for a general case of a non-uniform mesh using a new filling pattern scheme. The formulation of the VOS method includes the calculation of the fractional volume value of the solid in each element and finding a directional vector to locate the interface of the free surface. The implementation of the VOS method is discussed by covering important topics that include the connectivity of the free surface interfaces in addition to introducing and modeling a new algorithm for the rigid-flexible contact problem. The formulation presented in this work is implemented in a VOS FE-code …
aggregated CHO: https://circle.library.ubc.ca/rest/handle/2429/28759
note: EULERIAN FORMULATION WITH VOLUME OF SOLID (VOS) APPLICATION TO METAL FORMING by Khaled S. Al-Athel B.Sc., M.Sc. King Fahad University of Petroleum and Minerals (KFUPM), 2005 A THESIS SUBMITTED IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF DOCTOR OF PHILOSOPHY in The Faculty of Graduate Studies (Mechanical Engineering) The University of British Columbia (Vancouver) September 2010 © Khaled S. Al-Athel 2010 ii ABSTRACT The volume of fluid (VOF) method has been used extensively in computational fluid dynamics (CFD) applications. The method is used to track the unconstrained flow of the fluid at the free surface in an Eulerian formulations framework. In this work we propose the use of the VOF method in nonlinear solid mechanics and metal forming applications, therefore the new method is called the Volume of Solid (VOS) method. The VOS method is to be used with Eulerian finite element (FE) formulations. In Eulerian formulation, the mesh is fixed in space and the material flows freely within the domain. This type of formulation overcomes many difficulties that are associated with other FE formulations such as mesh distortion and the need for re-meshing or a proper mesh motion scheme. The main drawback of the Eulerian formulation is the difficulty in tracking the unconstrained flow of the material at the free boundaries; therefore an additional scheme is needed to overcome this problem. The derivation of the VOS equations and its implementation in an Eulerian formulation along with applications in metal forming and metal cutting are the main goals of this research. In this work, we present the derivation of the Eulerian quasi-static and dynamic equilibrium equations. The complete development of the VOS method is presented for the commonly used uniform mesh using a piecewise linear interface construction method, and for a general case of a non-uniform mesh using a new filling pattern scheme. The formulation of the VOS method includes the calculation of the fra…
has type: Thesis/Dissertation
date issued: 2010-11
is shown at: 10.14288/1.0071321
language: eng
degree discipline: Mechanical Engineering
provider: Vancouver : University of British Columbia Library
publisher: University of British Columbia
rights: Attribution-NonCommercial-NoDerivatives 4.0 International
rights URI: http://creativecommons.org/licenses/by-nc-nd/4.0/
scholar level: Graduate
type: Text
identifier URI: http://hdl.handle.net/2429/28759