Abstract
The general problem of sizing, material selection, load parameter and shape sensitivity of non-linear structural response is considered. The non-linear sensitivity path is followed by an incremental strategy employing the continuum-based updated Lagrangian description. The resulting finite element equations are derived. Both the direct differentiation and adjoint structure strategies are considered. The merits of using the consistent tangent matrix for sensitivity calculations are indicated. The formulation employs the so-called reference volume concept and may be seen as a further attempt to unify the shape and non-shape sensitivity analysis procedures.
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