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A finite volume method for solid mechanics incorporating rotational degrees of freedom

Pan, W. and Wheel, M. (2003) A finite volume method for solid mechanics incorporating rotational degrees of freedom. Computers and Structures, 81 (5). pp. 321-329. ISSN 0045-7949

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Abstract

A novel finite volume (FV) based discretization method for determining displacement, strain and stress distributions in loaded two dimensional structures with complex geometries is presented. The method incorporates rotation variables in addition to the displacement degrees of freedom employed in earlier FV based structural analysis procedures and conventional displacement based finite element (FE) formulations. The method is used to predict the displacement fields in a number of test cases for which solutions are already available. The effect of mesh refinement upon the accuracy of the solutions predicted by the method is assessed. The results of this assessment indicate that the new method is more accurate than previous FV procedures incorporating displacement variables only, particularly in cases where bending is the predominant mode of deformation, and therefore the new method represents a significant advance in the development of this type of discretization procedure. Interestingly, the results of the accuracy assessment exercise also indicate that the new FV procedure is also more accurate than the equivalent FE formulation incorporating displacement and rotational degrees of freedom.

Item type: Article
ID code: 5731
Keywords: finite volume, finite element, Allman triangle, rotations, beam bending, Mechanical engineering and machinery, Modelling and Simulation, Civil and Structural Engineering, Materials Science(all), Mechanical Engineering, Computer Science Applications
Subjects: Technology > Mechanical engineering and machinery
Department: Faculty of Engineering > Mechanical and Aerospace Engineering
Related URLs:
    Depositing user: Strathprints Administrator
    Date Deposited: 04 Apr 2008
    Last modified: 04 Sep 2014 15:38
    URI: http://strathprints.strath.ac.uk/id/eprint/5731

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