摘要：This paper introduces a finite element model for the inverse design of pieces
with large displacements in the elastic range. The problem consists in
determining the initial shape of the piece, such that it attains the designed
shape under the effect of service loads. The model is particularly focused
on the design of pieces with a markedly anisotropic behavior, like laminated
turbine blades. The formulation expresses equilibrium on the distorted
configuration. However, it uses the standard constitutive equation library,
which is usually expressed for measures attached to the undistorted
configuration. Modifications in standard finite elements codes are then
restricted to the routines for the computation of the finite element internal
forces and tangent matrix. Two application examples are given, the first one for
validation purposes, while the second application has industrial interest for
the design of turbine blades.
