Question

PROBLEM IN ELASTICITY !!!

Answer 1

A substance is subjected to tensile strains equal to a,b,c in the directions of the rectangular axes x,y,z respectively. Prove that the resultant stain is equivalent to that due to superposition of a uniform dilatational strain equal to a+b+c, together with two shears,one equal to [2/3(a+b+c)-2b] in the plane (x-z) and another shear [2/3(a+b+c)-2c] in the plane (x-y)..