| L. J. Scgcrlind, 4pplied Finite Element 4nalysis. John Wiley, New York (1976). |
....coordinate vector in the undeformed state expressed in Lagrangian coordinates, and N, has the same form as N. Also, the displacements and incremental displacements of a generic point within the element can be linked to the counterparts of the nodal points as (42) Through a very standard procedure [4, 24, 25], the displacement and the incremental displacement gradients can be expressed as (u, Au,o)r=Bn(u, Au, r (43) un. Aur)r = Bra(U; AU, r, 44) where B is a (3 3 3N) matrix than can be obtained through the ape functions and the nodal point coordinates. In the Updated Lagrangian approach, ....
L. J. Scgcrlind, 4pplied Finite Element 4nalysis. John Wiley, New York (1976).
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