A MATLAB Code for Integrated Additive Manufacturing and Level-Set Based Topology Optimization

Panagiotis Vogiatzis Computational Modeling, Analysis and Design Optimization Research Laboratory Department of Mechanical Engineering State University of New York at Stony Brook Stony Brook, NY, 11794 Email: Panagiotis.Vogiatzis@stonybrook.edu Shikui Chen Computational Modeling, Analysis and Design Optimization Research Laboratory Department of Mechanical Engineering State University of New York at Stony Brook Stony Brook, NY, 11794 Email: Shikui.Chen@stonybrook.edu

[1]  M. Bendsøe Optimal shape design as a material distribution problem , 1989 .

[2]  Andres Tovar,et al.  An efficient 3D topology optimization code written in Matlab , 2014 .

[3]  S. Osher,et al.  A multiple level set method for modeling grain boundary evolution of polycrystalline materials , 2008 .

[4]  M. Bendsøe,et al.  Generating optimal topologies in structural design using a homogenization method , 1988 .

[5]  N. Kikuchi,et al.  A homogenization method for shape and topology optimization , 1991 .

[6]  G. Allaire,et al.  Structural optimization using sensitivity analysis and a level-set method , 2004 .

[7]  S. Osher,et al.  Motion of multiple junctions: a level set approach , 1994 .

[8]  Wing Kam Liu,et al.  A level set approach for optimal design of smart energy harvesters , 2010 .

[9]  M. Zhou,et al.  The COC algorithm, Part II: Topological, geometrical and generalized shape optimization , 1991 .

[10]  J. Sethian,et al.  Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations , 1988 .

[11]  Glaucio H. Paulino,et al.  Bridging topology optimization and additive manufacturing , 2015, Structural and Multidisciplinary Optimization.

[12]  Jonathan Richard Shewchuk,et al.  Triangle: Engineering a 2D Quality Mesh Generator and Delaunay Triangulator , 1996, WACG.

[13]  Xiaoming Wang,et al.  A level set method for structural topology optimization , 2003 .

[14]  J. Sethian,et al.  Structural Boundary Design via Level Set and Immersed Interface Methods , 2000 .

[15]  Y. Xie,et al.  A simple evolutionary procedure for structural optimization , 1993 .

[16]  G. Allaire,et al.  Shape optimization by the homogenization method , 1997 .

[17]  Xiaoming Wang,et al.  Structural shape and topology optimization in a level-set-based framework of region representation , 2004 .

[18]  Sang-Hoon Lee,et al.  Level set based robust shape and topology optimization under random field uncertainties , 2010 .