Evolutionary topology optimization for structural compliance minimization considering design-dependent FSI loads

[1]  J. Z. Zhu,et al.  The finite element method , 1977 .

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

[3]  T. Hughes,et al.  Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations , 1990 .

[4]  Michel Fortin,et al.  Mixed and Hybrid Finite Element Methods , 2011, Springer Series in Computational Mathematics.

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

[6]  K. Bathe Finite Element Procedures , 1995 .

[7]  Grant P. Steven,et al.  Evolutionary structural optimization for dynamic problems , 1996 .

[8]  Yi Min Xie,et al.  Evolutionary structural optimisation (ESO) using a bidirectional algorithm , 1998 .

[9]  J. Petersson,et al.  Numerical instabilities in topology optimization: A survey on procedures dealing with checkerboards, mesh-dependencies and local minima , 1998 .

[10]  Grant P. Steven,et al.  Displacement minimization of thermoelastic structures by evolutionary thickness design , 1999 .

[11]  Qing Li,et al.  Evolutionary topology and shape design for general physical field problems , 2000 .

[12]  N. Olhoff,et al.  Topology optimization of continuum structures subjected to pressure loading , 2000 .

[13]  J. Szmelter Incompressible flow and the finite element method , 2001 .

[14]  Noboru Kikuchi,et al.  Topology optimization with design-dependent loads , 2001 .

[15]  George I. N. Rozvany,et al.  Combining ESO with rigorous optimality criteria , 2002 .

[16]  J. Petersson,et al.  Topology optimization of fluids in Stokes flow , 2003 .

[17]  Kurt Maute,et al.  Reliability-based shape optimization of structures undergoing fluid-structure interaction phenomena , 2005 .

[18]  A. Evgrafov Topology optimization of slightly compressible fluids , 2006 .

[19]  James K. Guest,et al.  Topology optimization of creeping fluid flows using a Darcy–Stokes finite element , 2006 .

[20]  Eugenio Oñate,et al.  Finite calculus formulations for finite element analysis of incompressible flows. Eulerian, ALE and Lagrangian approaches , 2006 .

[21]  O. Sigmund,et al.  Topology optimization using a mixed formulation: An alternative way to solve pressure load problems , 2007 .

[22]  Jakob S. Jensen,et al.  Topology optimization of acoustic–structure interaction problems using a mixed finite element formulation , 2007 .

[23]  A. Klarbring,et al.  Topology optimization of regions of Darcy and Stokes flow , 2007 .

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

[25]  Y. Xie,et al.  Topology optimization of nonlinear structures under displacement loading , 2008 .

[26]  Xiong Zhang,et al.  A new boundary search scheme for topology optimization of continuum structures with design-dependent loads , 2008 .

[27]  Y. Xie,et al.  Bi-directional evolutionary topology optimization of continuum structures with one or multiple materials , 2009 .

[28]  Ole Sigmund,et al.  A monolithic approach for topology optimization of electrostatically actuated devices , 2008 .

[29]  Ole Sigmund,et al.  Topology optimization of large scale stokes flow problems , 2008 .

[30]  James K. Guest,et al.  Level set topology optimization of fluids in Stokes flow , 2009 .

[31]  K. Maute,et al.  Topology optimization of flexible micro-fluidic devices , 2010 .

[32]  Yi Min Xie,et al.  Evolutionary Topology Optimization of Continuum Structures: Methods and Applications , 2010 .

[33]  Yi Min Xie,et al.  A further review of ESO type methods for topology optimization , 2010 .

[34]  G. Yoon Topology optimization for stationary fluid–structure interaction problems using a new monolithic formulation , 2010 .

[35]  Yi Min Xie,et al.  Evolutionary topological optimization of vibrating continuum structures for natural frequencies , 2010 .

[36]  Yi Min Xie,et al.  Evolutionary topology optimization of continuum structures including design-dependent self-weight loads , 2011 .

[37]  M. Bendsøe,et al.  Topology Optimization: "Theory, Methods, And Applications" , 2011 .

[38]  G. Hou,et al.  Numerical Methods for Fluid-Structure Interaction — A Review , 2012 .

[39]  Gil Ho Yoon,et al.  Topological layout design of electro-fluid-thermal-compliant actuator , 2012 .

[40]  K. Maute,et al.  Levelset based fluid topology optimization using the extended finite element method , 2012 .

[41]  Zhenyu Liu,et al.  Topology optimization of steady and unsteady incompressible Navier–Stokes flows driven by body forces , 2013 .

[42]  Emílio Carlos Nelli Silva,et al.  Development of heat sink device by using topology optimization , 2013 .

[43]  Ole Sigmund,et al.  Topology Optimization of Fluid-Structure-Interaction Problems in Poroelasticity , 2013 .

[44]  Yuri Bazilevs,et al.  Computational Fluid-Structure Interaction: Methods and Applications , 2013 .

[45]  Shiwei Zhou,et al.  Designing orthotropic materials for negative or zero compressibility , 2014 .

[46]  Shiwei Zhou,et al.  Simple cubic three‐dimensional auxetic metamaterials , 2014 .

[47]  P. Breitkopf,et al.  Concurrent topology optimization design of material and structure within FE2 nonlinear multiscale analysis framework , 2014 .

[48]  Gil Ho Yoon,et al.  Stress-based topology optimization method for steady-state fluid–structure interaction problems , 2014 .

[49]  M. Wang,et al.  Level set based topology optimization of vibrating structures for coupled acoustic-structural dynamics , 2014 .

[50]  Ramana V. Grandhi,et al.  A survey of structural and multidisciplinary continuum topology optimization: post 2000 , 2014 .

[51]  O. Sigmund,et al.  Topology optimisation for natural convection problems , 2014, 1408.2102.

[52]  Yi Min Xie,et al.  Topology optimization of frequency responses of fluid–structure interaction systems , 2015 .

[53]  G. Steven,et al.  Topology and shape optimization methods using evolutionary algorithms: a review , 2015 .

[54]  Shiwei Zhou,et al.  Topology optimization for 3D microstructures of viscoelastic composite materials , 2021 .

[55]  T. Shi,et al.  Topology optimization with pressure load through a level set method , 2015 .

[56]  K. Maute,et al.  Level set topology optimization of stationary fluid-structure interaction problems , 2015 .

[57]  Yi Min Xie,et al.  Evolutionary topology optimization for natural frequency maximization problems considering acoustic-structure interaction , 2015 .

[58]  Renato Pavanello,et al.  Bi-directional evolutionary structural optimization for design-dependent fluid pressure loading problems , 2015 .

[59]  K. Maute,et al.  Level set topology optimization of scalar transport problems , 2015 .

[60]  Yi Min Xie,et al.  Concurrent topological design of composite thermoelastic macrostructure and microstructure with multi-phase material for maximum stiffness , 2016 .

[61]  K. Maute,et al.  An immersed boundary approach for shape and topology optimization of stationary fluid-structure interaction problems , 2016 .

[62]  Peter B. Coffin,et al.  A level-set method for steady-state and transient natural convection problems , 2016 .

[63]  Wei Xu,et al.  Topological design and additive manufacturing of porous metals for bone scaffolds and orthopaedic implants: A review. , 2016, Biomaterials.

[64]  Yi Min Xie,et al.  Concurrent topology optimization for minimizing frequency responses of two-level hierarchical structures , 2016 .

[65]  Ole Sigmund,et al.  Topology optimization of unsteady flow problems using the lattice Boltzmann method , 2016, J. Comput. Phys..

[66]  R. Picelli,et al.  Topology optimization for submerged buoyant structures , 2017 .

[67]  Qi Xia,et al.  Bi-directional Evolutionary Structural Optimization on Advanced Structures and Materials: A Comprehensive Review , 2016, Archives of Computational Methods in Engineering.