Finite Element Method

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Finite Element Method
Shape functions
Friday, 11/1/2002
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FEM Discretization
Cantilever Beam
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Triangular Element
Anticlockwise of the order of local node a,b,c
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Interpolation
Assume
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Coefficients
Cramers rule
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Shape function
Rewrite in form
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Shape function for triangular element
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How to decide if p is inside triangle or not
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Problem to be Solved
Linear System, static problem.
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Displacement Field
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Strain Field
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Strain Field in Matrix Form
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Derivative of Shape Function
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Strain
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Plane Stress