13a-2D-3D-BVPs

13a-2D-3D-BVPs - 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 13a 2-D & 3-D BVPs: Steady-state Heat Transfer William Klug Outline: 2-D & 3-D FEA Develop weak form Interpolation in 2-D & 3-D (shape functions) Interpolation + weak form William Klug Outline: 2-D & 3-D FEA Develop weak form Interpolation in 2-D & 3-D (shape functions) Interpolation + weak form Discrete FE equations William Klug 2-D & 3-D Steady State Heat Transfer Heat flux vector: Heat flow per unit area per unit time across surface William Klug Usually when material is isotropic then, Conductivity Matrix Conductivity matrix William Klug Conservation of Energy: 3-D Q dV V = q n dA V = S = q n dA = S i q dV V Q = i q = i D T ( ) or i D T ( ) + Q = in V Divergence Theorem William Klug Conservation of Energy: 2-D t i D T ( ) + Qt = Heat supplied per time per area William Klug Weak Form: 3-D...
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This note was uploaded on 08/09/2011 for the course MAE 168 taught by Professor Klug during the Spring '11 term at UCLA.

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13a-2D-3D-BVPs - William Klug MAE M168/CEE M135C...

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