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

W. Pan, M. Wheel

Research output: Contribution to journalArticle

34 Citations (Scopus)

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.
LanguageEnglish
Pages321-329
Number of pages8
JournalComputers and Structures
Volume81
Issue number5
DOIs
Publication statusPublished - Mar 2003

Fingerprint

Solid Mechanics
Finite volume method
Degrees of freedom (mechanics)
Finite Volume Method
Structural analysis
Stress concentration
Mechanics
Degree of freedom
Finite Volume
Geometry
Finite Element
Formulation
Mesh Refinement
Discretization Method
Complex Geometry
Structural Analysis
Stress Distribution
Exercise
Discretization
Predict

Keywords

  • finite volume
  • finite element
  • Allman triangle
  • rotations
  • beam bending

Cite this

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A finite volume method for solid mechanics incorporating rotational degrees of freedom. / Pan, W.; Wheel, M.

In: Computers and Structures, Vol. 81, No. 5, 03.2003, p. 321-329.

Research output: Contribution to journalArticle

TY - JOUR

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AU - Wheel, M.

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AB - 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.

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