A set of rectangular cartesian coordinates x1,x2,x3 is changed into another set x1, x2, x'3 through...

 

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A set of rectangular cartesian coordinates x1,x2,x3 is changed into another set x1, x2, x'3 through an orthogonal transformation x'1-b11x1+b12x2+b13x3 x2=b21x1+b22x2+b23x3 x'3=b31x1+b32x2+b33x3 How do the strain components e11,e22,e33,e12,e23,e31 change when the deformation is referred to the new coordinates x1,x2,x'3? Write down the relationship between e'ij and eij. Let the strain components to x'i be denoted by e'ij. A set of rectangular cartesian coordinates x1,x2,x3 is changed into another set x1, x2, x'3 through an orthogonal transformation x'1-b11x1+b12x2+b13x3 x2=b21x1+b22x2+b23x3 x'3=b31x1+b32x2+b33x3 How do the strain components e11,e22,e33,e12,e23,e31 change when the deformation is referred to the new coordinates x1,x2,x'3? Write down the relationship between e'ij and eij. Let the strain components to x'i be denoted by e'ij.

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SOLUTION The transformation is from x x xz to a new coordinate ... View the full answer