1. Why learn FEM ? FEM literacy Not as a black box
Expensive commercial package
New phenomena, material, process
FEM, DEM, BEM

2. EA Pl = d P
Ax=b K U = F p u1 u2

5. C, Fortran,
Basic, Pascal
MATLAB
COSMOS/M, Nastran, LUSAS, Abacus etc.

6. Exact Solution Experiment Approximate Solution
TITLE OF PROBLEM <Beam Analysis>
EXAMPLE 1
NN NE NM NDIM NEN NDN
ND NL NCH NPR NMPC
Node# Coordinates
Elem# N1 N2 Mat# Mom_Inertia)
e-11
e-11
e-11
e-11
e-11
e-11
e-11
DOF# Displacement
DOF# Load
MAT# PROP1 e9
Approximate Solution
Experiment

7. Results from the analysis
Activity Deflection at loading (mm)
Exact solution
Experiment (6 % error)
Approximate solution (4 % error)
Data: P = 1 kg, E = 200 GPa, L = 226 mm, a = 400 mm

8. Finite Element for Adaptive Crack
Propagation Using Parallel Processing
Worker
Worker
Master
Worker
Server-client Architecture
Parallel Processing for Adaptive Crack
Propagation using three processor

9. Master
Worker