15a-2D-Thermal

# 15a-2D-Thermal - © 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 14a 2D FEA: Steady State Heat Transfer © William Klug • Simple 2-D elements • Pascal’s 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 Galerkin FEA for S.S. Heat Transfer • Temperature field interpolated on element with n nodes: T x , y ( ) = N 1 x , y ( ) N 2 x , y ( ) N n x , y ( ) N x , y ( ) T 1 T 2 T n T e © William Klug Galerkin FEA for S.S. Heat Transfer ∇ T ≡ ∂ T ∂ x ∂ T ∂ y ≡ T , x T , y = ∇ N x , y ( ) T e = B x , y ( ) T e B = ∇ N 1 ∇ N 2 ∇ N n = N 1, x N 2, x N n , x N 1, y N 2, y N n , y...
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15a-2D-Thermal - © William Klug MAE M168/CEE M135C...

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