Ma. Wheel, A mixed finite volume formulation for determining the small strain deformation of incompressible materials, INT J NUM M, 44(12), 1999, pp. 1843-1861
Citations number
20
Categorie Soggetti
Engineering Mathematics
Journal title
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
A finite volume formulation for determining small strain deformations in in
compressible materials is presented in detail. The formulation includes dis
placement and hydrostatic pressure variables. The displacement field varies
linearly along and across each cell face. The hydrostatic pressure field a
ssociated with each face is uniform. The cells that discretize the structur
e are geometrically unrestricted, each cell can have an arbitrary number of
faces. The formulation is tested on a number of linear elastic plane strai
n benchmark problems. This testing reveals that when meshes of multifaceted
cells are employed to represent the structure then locking behaviour is ex
hibited, but when triangular cells are used then accurate predictions of th
e displacement and stress fields are produced. Copyright (C) 1999 John Wile
y & Sons, Ltd.