PolyTop swMATH ID: 7629 Software Authors: Talischi, Cameron; Paulino, Glaucio H.; Pereira Anderson; Menezes, Ivan F.M. Description: PolyTop: a Matlab implementation of a general topology optimization framework using unstructured polygonal finite element meshes. We present an efficient Matlab code for structural topology optimization that includes a general finite element routine based on isoparametric polygonal elements which can be viewed as the extension of linear triangles and bilinear quads. The code also features a modular structure in which the analysis routine and the optimization algorithm are separated from the specific choice of topology optimization formulation. Within this framework, the finite element and sensitivity analysis routines contain no information related to the formulation and thus can be extended, developed and modified independently. We address issues pertaining to the use of unstructured meshes and arbitrary design domains in topology optimization that have received little attention in the literature. Also, as part of our examination of the topology optimization problem, we review the various steps taken in casting the optimal shape problem as a sizing optimization problem. This endeavor allows us to isolate the finite element and geometric analysis parameters and how they are related to the design variables of the discrete optimization problem. The Matlab code is explained in detail and numerical examples are presented to illustrate the capabilities of the code. Homepage: http://dl.acm.org/citation.cfm?id=2159094 Dependencies: Matlab Keywords: topology optimization; unstructured meshes; polygonal finite elements; Matlab; { t PolyTop} Related Software: PolyMesher; Matlab; top.m; top88.m; PolyMat; PETSc; FEniCS; DistMesh; PolyStress; FreeFem++; GRAND; Stress_3D_Sensitivity; FEMLAB; ANSYS; PolyTop++; FEAPpv; GitHub; HoneyTop90; ROL; CutFEM Cited in: 47 Documents Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year PolyTop: a Matlab implementation of a general topology optimization framework using unstructured polygonal finite element meshes. Zbl 1274.74402Talischi, Cameron; Paulino, Glaucio H.; Pereira Anderson; Menezes, Ivan F. M. 2012 all top 5 Cited by 87 Authors 15 Paulino, Glaucio H. 7 Talischi, Cameron 5 Chi, Heng 5 Natarajan, Sundararajan 5 Nguyen-Xuan, Hung 4 Menezes, Ivan F. M. 3 Beirão da Veiga, Lourenço 3 Chau, Khanh N. 2 Adak, Dibyendu 2 Chau, Khai N. 2 Chevillotte, Fabien 2 Duczek, Sascha 2 Gabbert, Ulrich 2 Hackl, Klaus 2 Manzini, Gianmarco 2 Ooi, Ean Tat 2 Pereira Anderson 2 Sreekumar, Abhilash 2 Triantafyllou, Savvas P. 2 Zhang, Xiaojia Shelly 1 Aguilo, Miguel A. 1 Alarcón, Pablo 1 Antonietti, Paola Francesca 1 Bauduin, Simon 1 Bécot, François-Xavier 1 Bruggi, Matteo 1 Chiong, Irene 1 da Costa, R. O. S. S. 1 Dalloro, Livio 1 de Sturler, Eric 1 Demkowicz, Leszek F. 1 Deng, Hao 1 Do, Hien V. 1 Du, Jianbin 1 Duarte, Leonardo S. 1 Duysinx, Pierre 1 Fuentes, Federico 1 Gain, Arun L. 1 Gravenkamp, Hauke 1 Ho-Nguyen-Tan, Thuan 1 Jensen, Kristian Ejlebjerg 1 Jeyakarthikeyan, P. V. 1 Kazakis, Georgios 1 Kim, Hyun-Gyu 1 Koppen, Stijn 1 Lagaros, Nikos D. 1 Lee, Cheuk-Yu 1 Lee, Jaehong 1 Leon, S. E. 1 Liu, Yang 1 Lopez-Pamies, Oscar 1 Mirabella, Lucia 1 Mora, Jaime 1 Ngo Dac, Tuan 1 Nguyen-Hoang, Son 1 Nguyen, Nam V. 1 Pereira, Anderson 1 Perumal, Logah 1 Pramod, Aladurthi L. N. 1 Putti, Mario 1 Qin, Qinghua 1 Rabczuk, Timon 1 Sanders, Emily D. 1 Scacchi, Simone 1 Silva, Emílio Carlos Nelli 1 Song, Chongmin 1 Song, Le 1 Spring, D. W. 1 Sukumar, Natarajan 1 Suresh, Krishnan 1 Sutradhar, Alok 1 Tang, Tsz Ling Elaine 1 Tin-Loi, Francis 1 To, Albert C. 1 Vasileiou, Nikos 1 Vatanabe, S. L. 1 Vaziri Astaneh, Ali 1 Vengatesan, S. 1 Verani, Marco 1 Vulimiri, Praveen S. 1 Wang, Hui 1 Wei, Peng 1 Yang, Cheng 1 Yang, Kaike 1 Zhang, Yuyu 1 Zhou, Pingzhang 1 Zobaer, S. M. Tareq all top 5 Cited in 15 Serials 23 Computer Methods in Applied Mechanics and Engineering 4 International Journal for Numerical Methods in Engineering 3 Computational Mechanics 3 Optimization and Engineering 3 Structural and Multidisciplinary Optimization 2 Computers & Mathematics with Applications 1 Computers and Fluids 1 Mathematics and Computers in Simulation 1 Computer Aided Geometric Design 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematical Modelling 1 SIAM Journal on Scientific Computing 1 Engineering Analysis with Boundary Elements 1 Mathematical Problems in Engineering 1 European Journal of Mechanics. A. Solids all top 5 Cited in 6 Fields 33 Mechanics of deformable solids (74-XX) 32 Numerical analysis (65-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 3 Fluid mechanics (76-XX) 2 Partial differential equations (35-XX) 2 Operations research, mathematical programming (90-XX) Citations by Year