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3.(15 points)Examine if the following isoparametric mapping is invertible? What conclusion can you draw from the results? 3 1.1) 5 T-1 (0.0 Note:The shape functions in natural coordinates are N(5,)=20-50-.N,(5,)=20+50-列 Ne0=20+50+N,(G,)=0-50+0 and the determinant of Jacobian is J=detJ= Ox oy ax Oy ogon onog Solution: 嘉8Gm-s0GG0-0n y-总G-a5+G0-0+9 Note thatthe map is not invertable. Conclusion:Clockwise numbering of nodes is prohibited 3. (15 points) Examine if the following isoparametric mapping is invertible? What conclusion can you draw from the results? Note: The shape functions in natural coordinates are and the determinant of Jacobian is Solution: Conclusion: Clockwise numbering of nodes is prohibited
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