In the deformed configuration, a solid is a square block pqrs, whose corners are: p(1, 1),...

 

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In the deformed configuration, a solid is a square block pqrs, whose corners are: p(1, 1), q(-1, 1), r(-1, -1) and s(1. -1). Deformation of the solid is defined by the inverse mapping: X1 = 4x1 + 2x2 X2 = 2x1 + 4x2 (a) Sketch the initial and deformed configurations of the solid, indicating positions of corners before and after deformation. [6 marks] (b) Find the original deformation mapping x,= x,(X1, X2), i= 1,2 (5 marks) In the deformed configuration, a solid is a square block pqrs, whose corners are: p(1, 1), q(-1, 1), r(-1, -1) and s(1. -1). Deformation of the solid is defined by the inverse mapping: X1 = 4x1 + 2x2 X2 = 2x1 + 4x2 (a) Sketch the initial and deformed configurations of the solid, indicating positions of corners before and after deformation. [6 marks] (b) Find the original deformation mapping x,= x,(X1, X2), i= 1,2 (5 marks)