The deformation of a body in material description is described by x1 = 2X₁ - 2X2 + 3X3; x2 = 5X₁ + 5X2 - ; x3 = 3X1 - 3X2 - 2X3. Determine: 7x3 (a) the deformation gradient tensor [F], (b) the right Cauchy stretch tensor [U] and left Cauchy stretch tensor [V], (c) the orthogonal rotation tensor [R].

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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X2 = 5x1 + 5x2 - 7x3

The deformation of a body in material description is described by
7x3
x₁ = 2X₁ - 2X₂ + 3X3; x2 = 5X₁ + 5X₂ -2; x3 = 3X₁ - 3X2 - 2X3.
Determine:
(a) the deformation gradient tensor [F],
(b) the right Cauchy stretch tensor [U] and left Cauchy stretch tensor [V],
(c) the orthogonal rotation tensor [R].
Transcribed Image Text:The deformation of a body in material description is described by 7x3 x₁ = 2X₁ - 2X₂ + 3X3; x2 = 5X₁ + 5X₂ -2; x3 = 3X₁ - 3X2 - 2X3. Determine: (a) the deformation gradient tensor [F], (b) the right Cauchy stretch tensor [U] and left Cauchy stretch tensor [V], (c) the orthogonal rotation tensor [R].
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