Consider the second order stress tensor representation ij = ,kk ij , ij ,
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Consider the second order stress tensor representation σij = ∅,kkδij –∅,ij, where∅is a proposed stress function. First show that this scheme gives a divergence-less stress; i.e. σij,j = 0. Next using this representation in the general compatibility equations (5.3.3) with no body forces gives the result:
Finally show that for the two-dimensional plane stress case, this representation reduces to the ordinary Airy form from Section 7.5.
Equation 5.3.3
Data from section 7.5
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Related Book For
Elasticity Theory Applications And Numerics
ISBN: 9780128159873
4th Edition
Authors: Martin H. Sadd Ph.D.
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