Answered: 3.25 The two-dimensional displacement… | bartleby

Calculus For The Life Sciences

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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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 +

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