A homogeneous deformation is given by the B. following mapping equations: X1 = X1, x2 =...
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A homogeneous deformation is given by the B. following mapping equations: X1 = X1, x2 = X2 +X3, x3 = X3 (a) Sketch the deformed shape of the unit square OABC in the plane X1 = 0. (b) Determine the deformed vectors dx) and dx) which were originally at corner C as dX 2) = dX(2)12 and dX3) = dX 3Î; , respectively. (c) Determine the change in the original right angle between dX(2) and dX) at C due to the deformation. (d) Compute the stretch A at B in the direction of the unit normal A X, N3(1; + Î3)/v2. A homogeneous deformation is given by the B. following mapping equations: X1 = X1, x2 = X2 +X3, x3 = X3 (a) Sketch the deformed shape of the unit square OABC in the plane X1 = 0. (b) Determine the deformed vectors dx) and dx) which were originally at corner C as dX 2) = dX(2)12 and dX3) = dX 3Î; , respectively. (c) Determine the change in the original right angle between dX(2) and dX) at C due to the deformation. (d) Compute the stretch A at B in the direction of the unit normal A X, N3(1; + Î3)/v2.
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