Why learn FEM ?

• FEM literacyFEM literacy• Not as a black boxNot as a black box• Expensive commercial packageExpensive commercial package• New phenomena, material, New phenomena, material,

processprocess

• FEM, DEM, FEM, DEM, BEMBEM

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C, Fortran,C, Fortran,Basic, Basic, PascalPascalMATLABMATLAB

COSMOS/COSMOS/M, M, Nastran, Nastran, LUSAS, LUSAS, Abacus Abacus etc.etc.

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Exact SolutionExact Solution

ExperimentExperiment

TITLE OF PROBLEM <Beam Analysis>EXAMPLE 1NN NE NM NDIM NEN NDN8 7 1 1 2 2ND NL NCH NPR NMPC2 1 1 1 0Node# Coordinates 1 0 2 .1 3 .2 4 .3 5 .4 6 .5 7 .6 8 .626Elem# N1 N2 Mat# Mom_Inertia) 1 1 2 1 4.5e-11 2 2 3 1 4.5e-11 3 3 4 1 4.5e-11 4 4 5 1 4.5e-11 5 5 6 1 4.5e-11 6 6 7 1 4.5e-11 7 7 8 1 4.5e-11DOF# Displacement 1 0 15 0DOF# Load 7 -10MAT# PROP1 1 200e9

Approximate Solution

ActivityActivity Deflection at loading Deflection at loading (mm)(mm)

Exact solutionExact solution 4.83 4.83Experiment Experiment 4.55 (6 % error) 4.55 (6 % error)

Approximate solution 5.03 (4 % error)Approximate solution 5.03 (4 % error)

Data: Data: PP = 1 kg,  = 1 kg, EE = 200 GPa,  = 200 GPa, LL = 226 mm,  = 226 mm, aa = 400 mm = 400 mm

Results from the analysisResults from the analysis

Finite Element for Adaptive CrackPropagation Using Parallel Processing

MasterWorker

Worker

Worker

• Server-client Architecture

• Parallel Processing for Adaptive CrackPropagation using three processor

MasterWorker

Worker

Worker