Abstract : Shape and topology optimizations are widely used in many industries and consider optimal shapes and topologies of materials to maximize desired physical properties. Topological changes also yield extremely high performance, and hence, these optimization methods have attracted much attention in many industries. Furthermore, recent technological innovations in additive manufacturing have made it possible to manufacture optimized materials and even metamaterials that do not exist in nature. Besides, these optimization methods that take manufacturability and practicality into consideration have also been developed and will be expected to be applied in various fields.
[00244] PDEs for topology optimization considering manufacturability
Format : Talk at Waseda University
Author(s) :
Takayuki Yamada (The University of Tokyo)
Abstract : The topology optimization framework is to have the PDEs of the physical field of interest as constraints. In this study, we propose PDEs that expresses target manufacturability in order to consider it in a topology optimization framework.
[00368] Topology optimization of supports for additive manufacturing with accessibility constraints
Format : Talk at Waseda University
Author(s) :
Grégoire Allaire (Ecole Polytechnique)
Martin Bihr (Safran)
Beniamin Bogosel (Ecole Polytechnique)
Abstract : This talk is concerned with an accessibility constraint, for shape and topology optimization of structures built by metallic additive manufacturing. Sacrificial supports are used to maintain a structure, during its building process. Removing them at the end is required but can be very difficult. Our work gives a new mathematical way to evaluate such an accessibility constraint, which is based on distance functions, solutions of eikonal equations. The main advantage is the possibility of computing shape derivatives of such a criterion with respect to both the structure and the support. We implement this accessibility constraint with the level-set method for topology optimization of structures.
[03408] Dehomogenization in stress minimization problems
Format : Talk at Waseda University
Author(s) :
Alex Ferrer (CIMNE)
Grégoire Allaire (Ecole Polytechnique)
Perle Geoffroy-Donders (Ecole Polytechnique)
Abstract : In the last years, additive manufacturing has allowed to build lattice structures with impressive small length scale. This breakthrough has forced the topology optimization community to propose fast multi-scale topology optimization techniques. The dehomogenization method has recently shown very promising results in terms of performance and computational cost for compliance examples. In this work, we extend it to stress minimization problems and by considering singularities in the orientation field.
[03530] The topological ligament: an approach based on thin tubular inhomogeneities
Format : Talk at Waseda University
Author(s) :
Charles Dapogny (CNRS & Université Grenoble Alpes)
Abstract : We propose a novel framework to calculate an approximate sensitivity of a functional depending on the domain with respect to the graft of a thin ligament. The resulting formulas are applied to:
• The addition of a thin ligament to a structure in the course of a classical shape optimization process;
• The optimization of the scaffold structure of a 3d printed structure;
• A ``clever'' initialization process for the optimization of a truss structure.
[00419] Level set-based topology optimization method with nonlinear diffusion
Format : Talk at Waseda University
Author(s) :
Tomoyuki Oka (The University of Tokyo)
Takayuki Yamada (The University of Tokyo)
Abstract : In this talk, we shall consider a level set-based topology optimization method with nonlinear diffusion.
Main results consist of the generalization of the method using reaction-diffusion equations, which improves convergence to optimized designs with the aid of singularity and degeneracy of diffusion coefficients, and therefore, a more practical method can be obtained.
