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1. Consider the uniform deformation of a square block B of side length 2 units, initially centered at X (0,0) as shown i
Posted: Mon May 02, 2022 11:27 am
by answerhappygod
- 1 Consider The Uniform Deformation Of A Square Block B Of Side Length 2 Units Initially Centered At X 0 0 As Shown I 1 (70.08 KiB) Viewed 19 times
1. Consider the uniform deformation of a square block B of side length 2 units, initially centered at X (0,0) as shown in the figure. At a given time the motion of the block is given by the equation: 7 = {(18+4X1 +6X2)êi + (14+ 6X2ê2 (a) Sketch the deformed configuration of body B. (b) Compute the components of the deformation gradient tensor (material) F and the inverse deformation gradient tensor (spatial). (c) Compute the Green-Lagrange (material) and Euler-Almansi (spatial) strain tensors (d) Compute the stretch and unit elongation in material descriptions of the sides of the square block with coordinates: (i) (-1,1) and (-1,-1) (ii) (-1,1) and (1,-1) X₂, I2 (-1,1) (1,1) X1,11 (-1,-1) (1,-1)