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    This best-selling textbook presents the concepts of continuum mechanics in a simple yet rigorous manner. It introduces the invariant form as well as the component form of the basic equations and their applications to problems in elasticity, fluid mechanics and heat transfer, and offers a brief introduction to linear viscoelasticity. There are 4 free indices in the equation. Therefore, there are the following 6 cases to consider: (i) ij= , (2) ik= , (3) il= , (4) jk= , (5) jl= , and (6) kl= . We consider each case below where we use LS for left side, RS for right side and repeated indices with parenthesis are not sum: (1) For ij RS===в€’=, LS= 0, 0.Оµ()() () ()i im klm ik il il ikОµОґОґОґОґ (2) For ik= , LS= , Оµ() 1 ()1 2

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