EN0175-04

EN0175-04 - EN0175 09 / 14 / 06 Lecture 4 Announcement:...

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Unformatted text preview: EN0175 09 / 14 / 06 Lecture 4 Announcement: ABAQUS tutorial will be given between 6-8 PM on September 18 (Monday). FEM interpolation functions: 1D FEM: ( ) x a a x w 2 1 + = (linear interpolation) Element types in 2D: x y 3 noded triangle (linear element) ( ) y a x a a y x w 3 2 1 , + + = 6 noded triangle ( ) 2 6 2 5 4 3 2 1 , y a x a xy a y a x a a y x w + + + + + = 4 noded quadrilateral ( ) xy a y a x a a y x w 4 3 2 1 , + + + = 8 noded quadrilateral ( ) 2 8 2 7 2 6 2 5 4 3 2 1 , xy a y x a y a x a xy a y a x a a y x w + + + + + + + = Element types in 3D: 4 noded tetrahedron (linear element) y z 1 x EN0175 09 / 14 / 06 ( ) z a y a x a a z y x w 4 3 2 1 , , + + + = x y z 10 noded tetrahedron ( ) 2 10 2 9 2 8 7 6 5 4 3 2 1 , , z a y a x a xz a yz a xy a z a y a x a a z y x w + + + + + + + + + = Integration points for stress: 1D: points n integratio 2D: Material behavior ε σ E = (Hooke’s law is valid before materials yield at a critical strain beyond which irreversible plastic deformation begins to accumulate) 2 EN0175...
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This note was uploaded on 01/10/2010 for the course EN 0175 taught by Professor Huajiangao during the Spring '06 term at Brown.

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EN0175-04 - EN0175 09 / 14 / 06 Lecture 4 Announcement:...

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