A 99 line topology optimization code written in Matlab. The paper presents a compact Matlab implementation of a topology optimization code for compliance minimization of statically loaded structures. The total number of Matlab input lines is 99 including optimizer and Finite Element subroutine. The 99 lines are divided into 36 lines for the main program, 12 lines for the Optimality Criteria based optimizer, 16 lines for a mesh-independency filter and 35 lines for the finite element code. In fact, excluding comment lines and lines associated with output and finite element analysis, it is shown that only 49 Matlab input lines are required for solving a well-posed topology optimization problem. By adding three additional lines, the program can solve problems with multiple load cases. The code is intended for educational purposes. The complete Matlab code is given in the Appendix and can be down-loaded from the web-site

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  1. Du, Zongliang; Zhang, Weisheng; Zhang, Yupeng; Xue, Riye; Guo, Xu: Structural topology optimization involving bi-modulus materials with asymmetric properties in tension and compression (2019)
  2. Chu, Sheng; Gao, Liang; Xiao, Mi: An efficient topology optimization method for structures with uniform stress (2018)
  3. Jensen, Kristian Ejlebjerg: Topology optimization of Stokes flow on dynamic meshes using simple optimizers (2018)
  4. Xia, Liang; Xia, Qi; Huang, Xiaodong; Xie, Yi Min: Bi-directional evolutionary structural optimization on advanced structures and materials: a comprehensive review (2018)
  5. Bird, R. E.; Coombs, W. M.; Giani, S.: Fast native-MATLAB stiffness assembly for SIPG linear elasticity (2017)
  6. Fernandez, Lucas dos Santos; Molter, Alexandre; Botelho, Fabio Silva: Simultaneous topology optimization and proportional actuators localization (2017)
  7. Ivvan Valdez, S.; Botello, Salvador; Ochoa, Miguel A.; Marroquín, José L.; Cardoso, Victor: Topology optimization benchmarks in 2D: results for minimum compliance and minimum volume in planar stress problems (2017)
  8. Munro, Dirk; Groenwold, Albert A.: On sequential approximate simultaneous analysis and design in classical topology optimization (2017)
  9. Ullah, Baseer; Trevelyan, Jon; Siraj-ul-Islam: A boundary element and level set based bi-directional evolutionary structural optimisation with a volume constraint (2017)
  10. Xia, Liang; Breitkopf, Piotr: Recent advances on topology optimization of multiscale nonlinear structures (2017)
  11. Ye, Hong-Ling; Wang, Wei-Wei; Chen, Ning; Sui, Yun-Kang: Plate/shell structure topology optimization of orthotropic material for buckling problem based on independent continuous topological variables (2017)
  12. Kočvara, Michal; Mohammed, Sudaba: Primal-dual interior point multigrid method for topology optimization (2016)
  13. Kočvara, M.; Loghin, D.; Turner, J.: Constraint interface preconditioning for topology optimization problems (2016)
  14. Ullah, B.; Trevelyan, J.: A boundary element and level set based topology optimisation using sensitivity analysis (2016)
  15. Wang, Yingjun; Benson, David J.: Isogeometric analysis for parameterized LSM-based structural topology optimization (2016)
  16. Yi, G. L.; Sui, Y. K.: An adaptive approach to adjust constraint bounds and its application in structural topology optimization (2016)
  17. Cao, Ming-Jie; Ma, Hai-Tao; Wei, Peng: A novel robust design method for improving stability of optimized structures (2015) ioport
  18. Kaminakis, Nikos T.; Drosopoulos, Georgios A.; Stavroulakis, Georgios E.: Design and verification of auxetic microstructures using topology optimization and homogenization (2015)
  19. Luo, Yangjun; Wang, Michael Yu; Kang, Zhan: Topology optimization of geometrically nonlinear structures based on an additive hyperelasticity technique (2015)
  20. Nanthakumar, S. S.; Valizadeh, Navid; Park, Harold S.; Rabczuk, Timon: Surface effects on shape and topology optimization of nanostructures (2015)

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