The deformation of a sheet of the metal unobtanium is recorded to be: 11 = 1.5...
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The deformation of a sheet of the metal unobtanium is recorded to be: 11 = 1.5 104 E12 2.5 x 10-5 E22 3.0 10-5 What are the volume and deviatoric strains of the sample? What are the principal strains and what angle are they to the measured strains? (a) (b) (c) (d) Assuming plane strain conditions: 011 022 012 E11 822 2812 = = (1 + v)(1 2v) 1 + v E 1 V 0 V 1 = v -V 0 -V 1 0 0 0 2 V 1-v 0 0 0 1-2v 2 011 022 012 ][ E11 822 2812 What are the principal stresses in the sheet, given Eunobtanium 314 GPa and Vunobtanium = 1/3. Draw a Mohr's circle for the stresses and determine the maximum shear stresses. Include the angle of the stresses corresponding to the original strain tensor. = (3 marks) (5 marks) (6 marks) (6 marks) The deformation of a sheet of the metal unobtanium is recorded to be: 11 = 1.5 104 E12 2.5 x 10-5 E22 3.0 10-5 What are the volume and deviatoric strains of the sample? What are the principal strains and what angle are they to the measured strains? (a) (b) (c) (d) Assuming plane strain conditions: 011 022 012 E11 822 2812 = = (1 + v)(1 2v) 1 + v E 1 V 0 V 1 = v -V 0 -V 1 0 0 0 2 V 1-v 0 0 0 1-2v 2 011 022 012 ][ E11 822 2812 What are the principal stresses in the sheet, given Eunobtanium 314 GPa and Vunobtanium = 1/3. Draw a Mohr's circle for the stresses and determine the maximum shear stresses. Include the angle of the stresses corresponding to the original strain tensor. = (3 marks) (5 marks) (6 marks) (6 marks)
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