MEC 4426: CADFinite Element Analysis

3/9/01

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Table of Contents

MEC 4426: CADFinite Element Analysis

Equations of Motion

MINIMIZE POTENTIAL ENERGY ?

FINITE ELEMENT ANALYSIS:MINIMUM POTENTIAL ENERGYVIRTUAL WORK

STRESS ANALYSIS OF A STRUCTURE

ELEMENTS AND NODES

1960-1970 : Development of the finite element method

Element Degree of Freedom Vector ? T ? T = { ?i , ?j , ?M ….. }, where m is the total number of nodes

Isoparametric ElementsShape Functions and the Displacement Field: 2D Membrane Element

Isoparametric Elements : 2D Membrane Element Continued

Isoparametric coordinate system

Stress and Strain Vectors

EVALUATION OF NODAL STRESSES

Author: Rhys Jones