Design of large-deformation steady elastoplastic manufacturing processes. Part I: a displacement-based reference frame formulation

Design of large-deformation steady elastoplastic manufacturing processes. Part II: sensitivity analysis and optimization

“…An optimization algorithm for large-deformation steady processes is developed that is based on the computationally e cient reference frame formulation [22]. The sensitivities for the optimization algorithm are computed e ciently by the direct di erentiation method.…”

“…The residual force vectors can be derived from the weighted residual formulation (see Reference [22] for notation and further details) as…”

“…In this work, we develop an iterative design environment to optimize manufacturing processes. The development is based on the reference frame formulation developed in Reference [22] to model large-deformation steady-state manufacturing processes. A set of design variables as well as cost and constraint functions that quantify the product quality are identiÿed.…”

A finite strain framework for steady-state problems: Hyperelasto-viscoplasticity

“…A later steady-state finite strain formulation, that directly accounts for the elastic material response, was presented by Balagangadhar et al (1999); Balagangadhar and Tortorelli (2000); Yu (2005). This framework has both Eulerian and Lagrangian characteristics, but, as opposed to the early models, the formulation is displacement-based (similarly to the framework by Dean and Hutchinson, 1980).…”

Weak Formulations with Upwind Shift for Calculation of Free Surface Corrections and Simulation of Steady-State Forming Problems

“…The 3D finite element simulations of multi-pass rolling or drawing often result into exorbitant computational times (several weeks or months) that make the numerical approach almost infeasible even by appealing to the best parallel computers. As manufactured products are very long, only the "stationary" part of the process is actually of interest for the industry, so the process can be advantageously simulated by resorting to steady-state formulations [1]- [4], [7]- [9] which allows reducing the calculation time by, at least, an order of magnitude with respect to more conventional methods [5]. Literature on steady-state formulations is rather scarce and old, except related works on multi-fields formulations [6] over a prescribed geometry.…”