An efficient multi-resolution topology optimization scheme for stiffness maximization and stress minimization

This article develops a multi-resolution topology optimization (MTOP) approach based on the solid isotropic material with penalization (SIMP) method, which is effective in obtaining high-resolution...

[1]  Ted Belytschko,et al.  Elastic crack growth in finite elements with minimal remeshing , 1999 .

[2]  Tam H. Nguyen,et al.  Improving multiresolution topology optimization via multiple discretizations , 2012 .

[3]  Y. Xie,et al.  Convergent and mesh-independent solutions for the bi-directional evolutionary structural optimization method , 2007 .

[4]  Tam H. Nguyen,et al.  A computational paradigm for multiresolution topology optimization (MTOP) , 2010 .

[5]  Ying Liu,et al.  A Moving Morphable Component Based Topology Optimization Approach for Rib-Stiffened Structures Considering Buckling Constraints , 2018, Journal of Mechanical Design.

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

[7]  T. Belytschko,et al.  MODELING HOLES AND INCLUSIONS BY LEVEL SETS IN THE EXTENDED FINITE-ELEMENT METHOD , 2001 .

[8]  M. Bendsøe,et al.  Topology optimization of continuum structures with local stress constraints , 1998 .

[9]  Yanan Wang,et al.  Smooth topological design of 3D continuum structures using elemental volume fractions , 2020 .

[10]  O. Sigmund.  Morphology-based black and white filters for topology optimization , 2007 .

[11]  O. Sigmund,et al.  Higher‐order multi‐resolution topology optimization using the finite cell method , 2017 .

[12]  Xiaoming Wang,et al.  Level-set method for design of multi-phase elastic and thermoelastic materials , 2004 .

[13]  Jie Liu,et al.  An efficient evolutionary structural optimization method with smooth edges based on the game of building blocks , 2019, Engineering Optimization.

[14]  Qi Xia,et al.  Stress-based topology optimization using bi-directional evolutionary structural optimization method , 2018 .

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

[16]  Y. Xie,et al.  Layout optimization of continuum structures considering the probabilistic and fuzzy directional uncertainty of applied loads based on the cloud model , 2016 .

[17]  Hui Liu,et al.  Fully parallel level set method for large-scale structural topology optimization , 2019, Computers & Structures.

[18]  Yanan Wang,et al.  Design and experimental validation of self-supporting topologies for additive manufacturing , 2019, Virtual and Physical Prototyping.

[19]  Ole Sigmund,et al.  Giga-voxel computational morphogenesis for structural design , 2017, Nature.

[20]  Jihong Zhu,et al.  From Topology Optimization Design to Additive Manufacturing: Today’s Success and Tomorrow’s Roadmap , 2020, Archives of Computational Methods in Engineering.

[21]  Xianmin Zhang,et al.  Topology optimization of distributed flexure hinges with desired performance , 2020, Engineering Optimization.

[22]  Ole Sigmund,et al.  On projection methods, convergence and robust formulations in topology optimization , 2011, Structural and Multidisciplinary Optimization.

[23]  Ren-Jye Yang,et al.  Stress-based topology optimization , 1996 .

[24]  James K. Guest,et al.  Achieving minimum length scale in topology optimization using nodal design variables and projection functions , 2004 .

[25]  Ole Sigmund,et al.  A 99 line topology optimization code written in Matlab , 2001 .

[26]  I. Babuska,et al.  The partition of unity finite element method: Basic theory and applications , 1996 .

[27]  Z. Kang,et al.  A nodal variable method of structural topology optimization based on Shepard interpolant , 2012 .

[28]  G. Cheng,et al.  ε-relaxed approach in structural topology optimization , 1997 .

[29]  M. Wang,et al.  XFEM schemes for level set based structural optimization , 2012 .

[30]  Charlie C. L. Wang,et al.  Space-time topology optimization for additive manufacturing , 2020 .

[31]  Y. Kim,et al.  Parallelized structural topology optimization for eigenvalue problems , 2004 .

[32]  Anders Clausen,et al.  Efficient topology optimization in MATLAB using 88 lines of code , 2011 .

[33]  Michael Yu Wang,et al.  A study on X-FEM in continuum structural optimization using a level set model , 2010, Comput. Aided Des..

[34]  K. Svanberg.  The method of moving asymptotes—a new method for structural optimization , 1987 .

[35]  Kurt Maute,et al.  A simple and efficient preconditioning scheme for heaviside enriched XFEM , 2013, 1312.6092.

[36]  J. Petersson,et al.  Large-scale topology optimization in 3D using parallel computing , 2001 .

[37]  Chang Liu,et al.  An efficient moving morphable component (MMC)-based approach for multi-resolution topology optimization , 2018, Structural and Multidisciplinary Optimization.

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

[39]  Robert Michael Kirby,et al.  Parametric topology optimization with multiresolution finite element models , 2018, International Journal for Numerical Methods in Engineering.