The Finite Element Method for the Analysis of Non-Linear and ...

Setting up the governing equations
Noting that the variation δ t+∆t
0
ɛ ij at configuration time t+∆t is only
dependent on the variation of the increment, hence
δ t+∆t
0
ɛ ij = δ 0 ɛ ij
and plugging eqns (3),(4) into eqn(2) we obtain the Equation of
Motion with Incremental Decompositions
∫
∫
∫
0S ij δ 0 ɛ ij d 0 t
V + 0S ij
δ 0 η ij d 0 V = t+∆t t
R − 0S ij
δ 0 e ij d 0 V
0 V
0 V
0 V
Institute of Structural Engineering Method of Finite Elements II 4