On inverse form finding for orthotropic plasticity
Journal Title: Computer Assisted Methods in Engineering and Science - Year 2013, Vol 20, Issue 4
Abstract
Inverse form finding aims to determine the optimum blank design of a workpiece whereby the desired spatial configuration that is obtained after a forming process, the boundary conditions and the applied loads are known. Inputting the optimal material configuration, a subsequent FEM computation then has to result exactly in the nodal coordinates of the desired deformed workpiece. Germain et al. [1] recently presented a new form finding strategy for isotropic elastoplasticity. Switching between the direct and the inverse mechanical formulation, while fixing the internal plastic variables in the inverse step, uniquely detects the undeformed configuration iteratively. In this contribution, the developed recursive algorithm is extended to anisotropic plasticity. In particular the orthotropic Hill yield function is considered. A load and a displacement-controlled example demonstrate that this new strategy requires only a few iterations to determine the optimal initial design whereby an almost linear convergence rate is obtained.
Authors and Affiliations
Philipp Landkammer, Sandrine Germain, Paul Steinmann
Keywords
Related Articles
- EP ID EP73668
- DOI -
- Views 157
- Downloads 0
SVD as a preconditioner in nonlinear optimization
Finding a solution of nonlinear constrained optimization problem may be very computer resources consuming, regardless of solution method adopted. A conceptually simple preconditioning procedure, based on singular value d...
Probabilistic multiscale analysis of inelastic localized failure in solid mechanics
In this work, we discuss the role of probability in providing the most appropriate multiscale based uncertainty quantification for the inelastic nonlinear response of heterogeneous materials undergoing localized failure....
CFD estimation of heat losses in thermal conductivity measurements
Knowledge of a material thermal conductivity is essential in several engineering applications. This material property serves also as a measure of the quality of manufactured materials. Nowadays, a lot of effort is direct...
Fuzzy control based on "true and false" philosophy for mechatronics systems. (Received in the final form July 21, 2008).
For man, possessing the ability to recognize the specific situation that has arisen at any instant of time and taking the appropriate decision without using a mathematical model is what ?adaptation? means. Adaptive princ...
Analysis of fluid-structure interaction of a torus subjected to wind loads
In the paper the aerodynamic forces acting on a part of a water slide or other object with curved, tubular shape, depending on the section of a torus and value of the wind velocity, were obtained. This was done by means...