I understand #2, but I'm not sure I have the right answer for #3. Thank you! 2 (a) Sketch the initial and final positions of an element which was initially a square ABCD in the XY-plane, of side length dL, with AB parallel to the X-axis and ADto the Y-axis, which undergoes the following simple shear: xXkYyYzZ=+= = (b) Calculate the deformation gradients F and F -1 and the Cauchy deformation tensor c. 3. Compare the matrices of rectangular Cartesian components of the finite strain EIJ and the small strain //for prob 2. Use the finite strain tensor to calculate the change in squared length of edges AB and ADand diagonals ACand DB.

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I understand #2, but I'm not sure I have the right answer for #3. Thank you!
2 (a) Sketch the initial and final positions of an element which was initially a square ABCD in the XY-plane, of side length
dL, with AB parallel to the X-axis and ADto the Y-axis, which undergoes the following simple shear: xXkYyYzZ=+=
= (b) Calculate the deformation gradients F and F -1 and the Cauchy deformation tensor c.
3. Compare the matrices of rectangular Cartesian components of the finite strain EIJ and the small strain //for prob 2.
Use the finite strain tensor to calculate the change in squared length of edges AB and ADand diagonals ACand DB.
Transcribed Image Text:I understand #2, but I'm not sure I have the right answer for #3. Thank you! 2 (a) Sketch the initial and final positions of an element which was initially a square ABCD in the XY-plane, of side length dL, with AB parallel to the X-axis and ADto the Y-axis, which undergoes the following simple shear: xXkYyYzZ=+= = (b) Calculate the deformation gradients F and F -1 and the Cauchy deformation tensor c. 3. Compare the matrices of rectangular Cartesian components of the finite strain EIJ and the small strain //for prob 2. Use the finite strain tensor to calculate the change in squared length of edges AB and ADand diagonals ACand DB.
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