me180_hw08 - HOMEWORK 8: 3-D FINITE ELEMENT SIMULATIONS IN...

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Unformatted text preview: HOMEWORK 8: 3-D FINITE ELEMENT SIMULATIONS IN COMSOL Consider a heterogeneous bar with a square cross-section of 1m by 1m (in the x-y plane) and a length of 3m (in the z-direction). The bar is composed of three different materials, which have properties that vary along the length. A schematic of the bar is shown below. The Youngs modulus, coefficient of thermal expansion, and thermal con- ductivity, of each segment, are defined below in terms of the z coordinate. FOR . < z < 1 . E = 2 10 10 Pa FOR 1 . < z < 2 . E = 0 . 5 10 10 Pa FOR 2 . < z < 3 . E = 1 10 10 Pa (1) 1 FOR . < z < 1 . = 17 10- 6 1 /K FOR 1 . < z < 2 . = 2 10- 6 1 /K FOR 2 . < z < 3 . = 12 10- 6 1 /K (2) FOR . < z < 1 . k = 400 W/ ( mK ) FOR 1 . < z < 2 . k = 200 W/ ( mK ) FOR 2 . < z < 3 . k = 600 W/ ( mK ) (3) We will use this bar to look at the effects of bending and thermal expan- sion in a heterogeneous domain. BENDING OF A 3-D BAR Generate a model of the bar described above, using the appropriate mode in COMSOL, for a purely structual problem....
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This note was uploaded on 08/01/2008 for the course ME 180 taught by Professor Zohdi during the Spring '08 term at University of California, Berkeley.

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me180_hw08 - HOMEWORK 8: 3-D FINITE ELEMENT SIMULATIONS IN...

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