Picture of wind turbine against blue sky

Open Access research with a real impact...

The Strathprints institutional repository is a digital archive of University of Strathclyde research outputs.

The Energy Systems Research Unit (ESRU) within Strathclyde's Department of Mechanical and Aerospace Engineering is producing Open Access research that can help society deploy and optimise renewable energy systems, such as wind turbine technology.

Explore wind turbine research in Strathprints

Explore all of Strathclyde's Open Access research content

Six-node triangle finite volume method for solids with a rotational degree of freedom for incompressible material

Pan, Wenke and Wheel, Marcus and Qin, Yi (2010) Six-node triangle finite volume method for solids with a rotational degree of freedom for incompressible material. Computers and Structures, 88 (23-24). pp. 1506-1511. ISSN 0045-7949

[img] Microsoft Word
Pan_W_strathprints_Six_node_FV_with_rotational_degree_of_freedom_text_plus_figures_Nov_2010.doc - Preprint

Download (460kB)

Abstract

A finite-volume (FV) cell vertex method is presented for determining the displacement field for solids exhibiting with incompressibility. The solid is discretized into six-node finite elements and the standard six-node finite-element shape function is employed for each element. Only control volumes around vertex node of the triangular element are considered. For considering the material incompressibility, a constant hydrostatic pressure as an extra unknown variable within each element is assumed. The force equilibrium in two perpendicular directions and one in-plane moment equilibrium equation are derived for each control volume. The volume conservation is satisfied by setting the integration of volumetric strain as zero within each element. By solving the system control equations, the displacements and rotations of the vertex nodes and the hydrostatic pressure for each element can be obtained and then the displacements of the midside nodes can be calculated. The simulation results show that this FV method passes the patch tests and converges to theoretical results under mesh refinement for material behaviour incompressibility.