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 +
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 +
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 30E
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