3.25 The two-dimensional displacement field in a body is given byu₁ (X) = X₁ [X²X₂ +0₁ (20² + 30²X₂ X³)],2 (20² + 3}{0²X2 — — X³ + 3}{G₁X³²X₂),where c₁ and ₂ are constants. Find the linear and nonlinear Green-Lagrange strains.U₂(X) =-X₂ (20² +

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Answered: 3.25 The two-dimensional displacement…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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3.25 The two-dimensional displacement field in a body is given by u₁ (X) = X₁ [X²X₂ +0₁ (20² + 30²X₂ X³)], 2 (20² + 3}{0²X2 — — X³ + 3}{G₁X³²X₂), where c₁ and ₂ are constants. Find the linear and nonlinear Green-Lagrange strains. U₂(X) =-X₂ (20² +