Struct Multidiscip Optim 59:1863–1879Ĭhu S, Gao L, Xiao M, Li H (2019) Design of sandwich panels with truss cores using explicit topology optimization.
NEW IN MATLAB 2019A CODE
Struct Multidiscip Optim 41:453–464Ĭhen Q, Zhang X, Zhu B (2019) A 213-line topology optimization code for geometrically nonlinear structures. Arch Appl Mech 69:635–654Ĭhallis VJ (2010) A discrete level-set topology optimization code written in Matlab. Comput Methods Appl Mech Eng 71:197–224īendsøe MP, Sigmund O (1999) Material interpolation schemes in topology optimization. Struct Multidiscip Optim 43:1–16īendsøe M, Kikuchi N (1988) Generating optimal topologies in stuctural design using a homogenization method.
J Comput Phys 194:363–393Īndreassen E, Clausen A, Schevenels M et al (2011) Efficient topology optimization in MATLAB using 88 lines of code. J Inst Eng Ser C 100:561–585Īllaire G, Jouve F, Toader AM (2004) Structural optimization using sensitivity analysis and a level-set method. Finally, several numerical examples are shown to demonstrate the effectiveness of the ITO MATLAB implementation IgaTop2D, which are attached in the Appendix, also offering an entry point for newcomers who have an interest in the field of the ITO.Īgrawal V, Gautam SS (2019) IGA: a simplified introduction and implementation details for finite element users. A main function IgaTop2D with eight inputs in the 56-line MATLAB code is developed, mainly including nine components: (1) Geom_Mod subfunction that uses non-uniform rational B-splines (NURBS) to develop the geometrical model (2) the preparation of the isogeometric analysis (IGA) that is implemented in Pre_IGA subfunction (3) the definition of Dirichlet and Neumann boundary conditions in Boun_Cond subfunction (4) the initialization of control densities and the densities at Gauss quadrature points implemented from lines 11 to 20 of the main function (5) a Shep_Fun subfunction for the smoothing mechanism (6) IGA to solve structural responses in three steps: compute IGA element stiffness matrices in Stiff_Ele2D subfunction, assemble all IGA element stiffness matrices in Stiff_Ass2D subfunction, and Solving (7) calculation of the objective function and sensitivity analysis in lines 32–46 of IgaTop2D (8) OC to advance design variables and (9) the representations of the optimized solutions in Plot_Data and Plot_Topy subfunctions. In this paper, the key intention is to present a compact and efficient MATLAB code for the implementation of the isogeometric topology optimization (ITO) method published by Jie Gao et al.
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