Optimizing Micro-Tiles in Micro-Structures as a Design Paradigm

Computer-Aided Design - Tập 115 - Trang 23-33 - 2019
Pablo Antolin1, Annalisa Buffa1,2, Elaine Cohen3, John F. Dannenhoffer4, Gershon Elber5, Stefanie Elgeti6, Robert Haimes7, Richard Riesenfeld3
1École Polytechnique Fédérale de Lausanne, Institute of Mathematics, Laussane, Switzerland
2Istituto di Matematica Applicata e Tecnologie Informatiche ‘E. Magenes’ (CNR), Pavia, Italy
3Department of Computer Science, University of Utah, SLC, UT, USA
4Mechanical & Aerospace Engineering, Syracuse University, Syracuse, NY, USA
5Department of Computer Science, Technion—Israel Institute of Technology, Haifa 32000, Israel
6Chair for Computational Analysis of Technical Systems, RWTH Aachen University, Aachen, Germany
7Department of Aeronautics and Astronautics, MIT, Cambridge, MA, USA

Tài liệu tham khảo

Elber G. Precise construction of micro-structures and porous geometry via functional composition. In: Proceedings of the 9th international conference on mathematical methods for curves and surfaces; 2016. p. 108–25. Massarwi, 2018, Hierarchical, random and bifurcation tiling with heterogeneity in micro-structures construction via functional composition, Comput Aided Des, 102, 148, 10.1016/j.cad.2018.04.017 DeRose, 1993, Functional composition algorithms via blossoming, ACM Trans Graph, 12, 113, 10.1145/151280.151290 Elber, 1992 Bornoff R, Parry J. An additive design heatsink geometry topology identification and optimisation algorithm. In: 2015 31st thermal measurement, modeling management symposium (SEMI-THERM); 2015. p. 303–308. Gao, 2015, The status, challenges, and future of additive manufacturing in engineering, Comput Aided Des, 69, 65, 10.1016/j.cad.2015.04.001 Armillotta, 2008, Modeling of porous structures for rapid prototyping of tissue engineering scaffolds, Int J Adv Manuf Technol, 39, 501, 10.1007/s00170-007-1247-x Rumpf, 2015, Spatially variant periodic structures in electromagnetics, Philos Trans A Math Phys Eng Sci., 373 Amadio G, Jackson TL. A new packing code for creating microstructures of propellants and explosives. In: 51st AIAA/SAE/ASEE joint propulsion conference; 2015, p. 1–13. Burczyński, 2009, 169 Conde-Rodríguez, 2017, A comprehensive framework for modeling heterogeneous objects, Vis Comput, 33, 17, 10.1007/s00371-015-1149-0 Schroeder, 2005, Computer-aided design of porous artifacts, Comput Aided Des, 37, 339, 10.1016/j.cad.2004.03.008 Kendall, 1998 Xiao, 2016, Geometry models of porous media based on voronoi tessellations and their porosity-permeability relations, Comput Math Appl, 72, 328, 10.1016/j.camwa.2015.09.009 Pasko, 2011, Procedural function-based modelling of volumetric microstructures, Graph Models, 73, 165, 10.1016/j.gmod.2011.03.001 Wang H, Chen Y, Rosen D. A hybrid geometric modeling method for large scale conformal cellular structures. In: Volume 3: 25th computers and information in engineering conference, Parts A and B; 2005. Chu, 2008, Design for additive manufacturing of cellular structures, Comput Aided Design Appl, 5, 686, 10.3722/cadaps.2008.686-696 Sá, 2015, Adaptive voids, Vis Comput, 31, 799 Leblanc, 2011, Modeling with blocks, Vis Comput, 27, 555, 10.1007/s00371-011-0589-4 Cottrell, 2009 Brivadis, 2015, Isogeometric mortar methods, Comput Methods Appl Mech Engrg, 284, 292, 10.1016/j.cma.2014.09.012 Pauletti, 2015, Igatools: an isogeometric analysis library, SIAM J Sci Comput, 37, 465, 10.1137/140955252 Stanković, 2015, A generalized optimality criteria method for optimization of additively manufactured multimaterial lattice structures, J Mech Des, 137, 111405, 10.1115/1.4030995 Ettinger, 2013, Optimization driven design of dies for profile extrusion: parameterization, strategy, and performance, Polym Eng Sci, 53, 189, 10.1002/pen.23228 Rajkumar, 2017, Design guidelines to balance the flow distribution in complex profile extrusion dies, Int Polym Proc, 32, 58, 10.3139/217.3272 Zhang, 2017, Automatic optimization design of a feeder extrusion die with response surface methodology and mesh deformation technique, Int J Adv Manuf Technol, 91, 3181, 10.1007/s00170-017-0018-6 Pauli, 2013, Towards shape optimization of profile extrusion dies with respect to homogeneous die swell, J Non-Newton Fluid Mech, 200, 79, 10.1016/j.jnnfm.2012.12.002 Michaeli, 1991 Siegbert, 2013, Design criteria in numerical design of profile extrusion dies, Key Eng Mater, 554, 794, 10.4028/www.scientific.net/KEM.554-557.794 Elgeti, 2012, Numerical shape optimization as an approach to extrusion die design, Finite Elem Anal Des, 61, 35, 10.1016/j.finel.2012.06.008 Powell, 2009, 26