3.11 If the deformation mapping of a body in a naval machine is given by X(X) = (X₁ + AX₂)ê1 + (X₂ + BX₁)êz + X3ê3, where A and B are constants. Determine the components of the Green strain tensors. The Grain strain tensor in HW-5 is [E] = 0.5 { [F]¹ [F] – [1] }. The Euler strain tensor in HW-5 is [e] = 0.5 {[1] - [F] [F]-¹}.
3.11 If the deformation mapping of a body in a naval machine is given by X(X) = (X₁ + AX₂)ê1 + (X₂ + BX₁)êz + X3ê3, where A and B are constants. Determine the components of the Green strain tensors. The Grain strain tensor in HW-5 is [E] = 0.5 { [F]¹ [F] – [1] }. The Euler strain tensor in HW-5 is [e] = 0.5 {[1] - [F] [F]-¹}.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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