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FEM Shape function


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(a)  Determine the shape functions (Ni i=1  to 7 ) of the seven-node transition element in natural/local coordinates (ε, η) such that -1 ≤ ξ, η ≤ 1


(b)  Does the shape function N2(ε, η) satisfy C° continuity along the sides that contain node 2? Explain.


Mechanical-Engineering   
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Answer #1

Shape function for Seven Noded R Rectarugular. 40 (۱,۱) th 6.0 16 (61) Ererent are : 3 1 l-E-u=0 HE-1=0 (-1,0) 2 5 (bo) (7,0WA 4 - Where c in the Constant with your Substitute E- & and - in sanation Niec[i+1]{+1) ay c=1 4 1 1= -4c Substitute the valSubstotute 1 1 2-1 and 4 - 1 In Saration N3 = C[i+1] {+1] ED le- Sustitute cvare In cauation was o 6N3 = - + [ite] [ty] (1-2-E = 0, 4 - 1 I in Eauration Substine E=on niccoli) le = 1 No Substitute 6 Value In Cauation. Ns (wevy 9-40) At node 6 CoddinaN7 -0 at all other nodes N7 has to be in the forum N7 C [te] [lth] [I-E) Nz = C{1-{][+] - Sustitute {=0, x= 1 in Equation 7 N


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