2. Consider a rectangular plate made of aluminum. Aluminum is an isotropic material, and Lame's constant...

Transcribed Image Text:

2. Consider a rectangular plate made of aluminum. Aluminum is an isotropic material, and Lame's constant and G are 54.6 (GPa) and 25.7 (GPa), respectively. The rectangular plate was subject to 2D uniform shear strain as following figure. X2 C C D D' 1 2a X A B The displacement field is given by x = X+2aX2 x2 = X2 X3 = X3 (1) Calculate the Young's modulus E, Poisson's ratio and buck modulus K of aluminum. (10%) (2) Consider infinitesimal strain a < <1, determine the state of stress. (10%) (a) Find the volume change of this solid. (5%) 2. Consider a rectangular plate made of aluminum. Aluminum is an isotropic material, and Lame's constant and G are 54.6 (GPa) and 25.7 (GPa), respectively. The rectangular plate was subject to 2D uniform shear strain as following figure. X2 C C D D' 1 2a X A B The displacement field is given by x = X+2aX2 x2 = X2 X3 = X3 (1) Calculate the Young's modulus E, Poisson's ratio and buck modulus K of aluminum. (10%) (2) Consider infinitesimal strain a < <1, determine the state of stress. (10%) (a) Find the volume change of this solid. (5%)