Calculate the elongation and quadratic elongation forfossils

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1.  Determine the values of e, S,  l, j, and g for each set of grid lines (i.e., vertical and horizontal) in the figures below (c and d).

2.   The figure below shows a sketch of deformed belemnites.  Calculate the elongation and quadratic elongation for both of these fossils.

4.  Draw cubes affected by each of the following strains.  In each case assume that the deformation is irrotational and that the particle in the center of the cube remains in the center after deformation.  Also, assume that the principal directions of strain are parallel to the edges of the cube.  

For each, draw the initial cube and the deformed cube.  Label the lengths of the sides of the cubes.

a) A uniaxial strain with S1 = 1.8; S2 = 1.0; S3 = 1.0

b) A biaxial, or plane strain, with S1 = 1.8, S2 = 1 S3 = 0.56

Image text transcribed for accessibility: Determine the values of e, S, l, j, and g for each set of grid lines (i.e., vertical and horizontal) in the figures below (c and d). The figure below shows a sketch of deformed belemnites. Calculate the elongation and quadratic elongation for both of these fossils. Draw cubes affected by each of the following strains. In each case assume that the deformation is irrotational and that the particle in the center of the cube remains in the center after deformation. Also, assume that the principal directions of strain are parallel to the edges of the cube. For each, draw the initial cube and the deformed cube. Label the lengths of the sides of the cubes. A uniaxial strain with S1 = 1.8; S2 = 1.0; S3 = 1.0 A biaxial, or plane strain, with S1 = 1.8, S2 = 1 S3 = 0.56 

 

Reference no: EM13146554

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