FELIPE v. 3
screenshots of FELIPE in action
The 'main engines'
POISS.FOR, ELAST.FOR and FRAME.FOR are the Basic-level programs for 2D field problems, plane elasticity and plane frames respectively. For students wanting to understand the programming of the finite element method, they are fully commented, and the f.e.m. theory, program structure, variable names etc. are documented in the manual. They provide clear, simple f.e. program source code for students to understand and then modify (new elements, new integration rules, etc.).ELADV.FOR handles a full range of 2D plane finite and infinite elements, and can analyse complex meshes thanks to a frontal solution subroutine.
VPLAS.FOR also uses a frontal solver, adapted for non-symmetric matrices, so that variable-dilation non-associated Mohr-Coulomb flow rules can be used.
THERM.FOR is a coupled analysis, with displacement and temperature degrees of freedom.
CONSL.FOR shows how coupled time-dependent problems can be programmed; in this case coupled elastic deformation (u,v) and pore water pressure p in soil-structure interaction. Elements with (u,v) degrees of freedom at midside nodes, (u,v,p) at corner nodes are used.
2D Field Analysis
Solution of Poisson (quasi-harmonic) equation:
U_{xx} + U_{yy} = 1
over an
H-shaped region. Dirichlet boundaries (U=0 and U=20) at left and right
vertical sides, radiating boundary (alpha=4) on lower inside edges. Mesh
of 384 linear triangles.
You can obtain a free download of the FELIPE package from this site!
Flowlines at nodes, with one node picked by
mouse to display nodal flow results.
The FELIPE package includes Fortran77 source code for the "main engines"!
2D elasticity analysis
Plane strain deformation of an elastic thick cylinder:
mesh of 30 eight-noded quadrilateral elements. Surface traction applied
on top two element edges. Deformed mesh, displacements exaggerated.
The FELIPE package also includes "main engines" for elastoplasticity and
elasto-viscoplasticity analyses!
The FELIPE pre-processor can display interactively
the element-by-element assembly of the global stiffness matrix, to show
the effect of element and node renumbering!
The FELIPE pre- and post-processors can handle a wide range of 1D and
2D finite and mapped infinite elements!
Coupled analysis
Elastic footing on a saturated elastic soil;
coupled analysis. 91 soil elements: 8-noded quadrilaterals with (u,v,p)
degrees of freedom at corner nodes, (u,v) degrees of freedom at midside
nodes. 4 structure elements representing footing: uniform load applied
to middle two elements. Plot of deformed mesh.
The FELIPE package costs under $100!
Below left: contours of vertical stress evaluated at element Gauss points.
Below right: contours of the pore-pressure field (corner degrees of freedom, soil elements only).
