Problem 6.8-3Show that the volume of an eight-node solid element is computed exactly by an order two Gauss rule.Solution:JΣNiξxiΣNiηxiΣNiζxiΣNiξyiΣNiηyiΣNiζyiΣNiξziΣNiηziΣNiζzi=Volume11ζ11η11ξJddd=For an 8-node solid element, each of the shape functions are 1st order in and .Jf1ηζ()f4ξζf7ξηf2f5f8f3f6f9=Each term has ,
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This note was uploaded on 01/11/2011 for the course MAE 5020 taught by Professor Folkman during the Fall '10 term at Utah State University.