15b-2D-Elasticity

15b-2D-Elasticity - William Klug MAE M168/CEE M135C...

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Unformatted text preview: William Klug MAE M168/CEE M135C Introduction to Finite Element Methods Lecture 15b 2D FEA: Elasticity William Klug Simple 2-D elements Pascals Triangle Summary and Review T x , y ( ) = a + bx + cy = T 1 N 1 + T 2 N 2 + T 3 N 3 Linear Triangle Bi-linear rectangle William Klug Summary and Review C-conforming interpolation T x , y ( ) = T N i x , y ( ) i = 1 3 1 B T DB tdA ( ) A e k e e T = N T Qt dA A e N T hdS S q Q e e T x , y ( ) = a const . T + bx + cy const . T Conformity + Completeness Convergence Linear completeness William Klug Displacement Vector 2-D 3-D William Klug Strain = x y xy = u x v y u y + v x = x y y x u v u = u Differential operator William Klug Hookes Law...
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15b-2D-Elasticity - William Klug MAE M168/CEE M135C...

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