Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Evolutionary structural optimisation using an additive algorithm
Finite Elements in Analysis and Design
Structural boundary design via level set and immersed interface methods
Journal of Computational Physics
Topology optimization with design-dependent loads
Finite Elements in Analysis and Design
Journal of Computational Physics
SIAM Journal on Optimization
Incorporating topological derivatives into level set methods
Journal of Computational Physics
Structural optimization using sensitivity analysis and a level-set method
Journal of Computational Physics
Topology optimization of nonlinear structures
Finite Elements in Analysis and Design
A multilevel, level-set method for optimizing eigenvalues in shape design problems
Journal of Computational Physics
A new algorithm for topology optimization using a level-set method
Journal of Computational Physics
Finite Elements in Analysis and Design
An extended level set method for shape and topology optimization
Journal of Computational Physics
Phase-Field Relaxation of Topology Optimization with Local Stress Constraints
SIAM Journal on Control and Optimization
Incorporating topological derivatives into shape derivatives based level set methods
Journal of Computational Physics
Finite Elements in Analysis and Design
Shape and topology optimization of compliant mechanisms using a parameterization level set method
Journal of Computational Physics
A simple evolutionary topology optimization procedure for compliant mechanism design
Finite Elements in Analysis and Design
A semi-implicit level set method for structural shape and topology optimization
Journal of Computational Physics
Topology optimization of heat conduction problem involving design-dependent heat load effect
Finite Elements in Analysis and Design
Shape-topology optimization for Navier-Stokes problem using variational level set method
Journal of Computational and Applied Mathematics
A variational level set method for the topology optimization of steady-state Navier-Stokes flow
Journal of Computational Physics
Design of piezoelectric actuators using a multiphase level set method of piecewise constants
Journal of Computational Physics
A level set method for structural shape and topology optimization using radial basis functions
Computers and Structures
Journal of Computational Physics
Topological optimization method for a geometric control problem in Stokes flow
Applied Numerical Mathematics
Topology optimization of structures: A minimum weight approach with stress constraints
Advances in Engineering Software - Special issue on design optimization
Topological shape optimization of geometrically nonlinear structures using level set method
Computers and Structures
Evolutionary methods for topology optimisation of continuous structures with design dependent loads
Computers and Structures
Block aggregation of stress constraints in topology optimization of structures
Advances in Engineering Software
Finite Elements in Analysis and Design
Finite Elements in Analysis and Design
Finite Elements in Analysis and Design
Performance enhancement of evolutionary search for structural topology optimisation
Finite Elements in Analysis and Design
Shape and topology optimization based on the phase field method and sensitivity analysis
Journal of Computational Physics
Evolutionary topological optimization of vibrating continuum structures for natural frequencies
Computers and Structures
Technical Note: Multiobjective topology optimization for finite periodic structures
Computers and Structures
On the multi-component layout design with inertial force
Journal of Computational and Applied Mathematics
Improvements in the treatment of stress constraints in structural topology optimization problems
Journal of Computational and Applied Mathematics
Level-set based topology optimization for electromagnetic dipole antenna design
Journal of Computational Physics
Strength optimized designs of thermoelastic structures
Structural and Multidisciplinary Optimization
Topology optimization involving thermo-elastic stress loads
Structural and Multidisciplinary Optimization
Efficient topology optimization in MATLAB using 88 lines of code
Structural and Multidisciplinary Optimization
Structural and Multidisciplinary Optimization
Design objectives with non-zero prescribed support displacements
Structural and Multidisciplinary Optimization
Quantification of model-form and predictive uncertainty for multi-physics simulation
Computers and Structures
Finite Elements in Analysis and Design
A general formulation of structural topology optimization for maximizing structural stiffness
Structural and Multidisciplinary Optimization
Analytical and numerical solutions for a reliability-based benchmark example
Structural and Multidisciplinary Optimization
On projection methods, convergence and robust formulations in topology optimization
Structural and Multidisciplinary Optimization
Heaviside projection based topology optimization by a PDE-filtered scalar function
Structural and Multidisciplinary Optimization
A new level-set based approach to shape and topology optimization under geometric uncertainty
Structural and Multidisciplinary Optimization
On reducing computational effort in topology optimization: how far can we go?
Structural and Multidisciplinary Optimization
Eliminating beta-continuation from Heaviside projection and density filter algorithms
Structural and Multidisciplinary Optimization
Structural and Multidisciplinary Optimization
A level set solution to the stress-based structural shape and topology optimization
Computers and Structures
Topology optimization of continuum structures with Drucker-Prager yield stress constraints
Computers and Structures
An isoparametric approach to level set topology optimization using a body-fitted finite-element mesh
Computers and Structures
Structural and Multidisciplinary Optimization
Optimal topologies derived from a phase-field method
Structural and Multidisciplinary Optimization
Structural and Multidisciplinary Optimization
Structural and Multidisciplinary Optimization
Mobile robot path planning algorithm by equivalent conduction heat flow topology optimization
Structural and Multidisciplinary Optimization
A superelement formulation for the efficient layout design of complex multi-component system
Structural and Multidisciplinary Optimization
Optimization of vibrating structures to reduce radiated noise
Structural and Multidisciplinary Optimization
Evolutionary optimization of compliant mechanisms subjected to non-uniform thermal effects
Finite Elements in Analysis and Design
Interpolation/penalization applied for strength design of 3D thermoelastic structures
Structural and Multidisciplinary Optimization
Sensitivity filtering from a continuum mechanics perspective
Structural and Multidisciplinary Optimization
Structural and Multidisciplinary Optimization
Structural and Multidisciplinary Optimization
Slope constrained material design
Structural and Multidisciplinary Optimization
Stress-constrained topology optimization with design-dependent loading
Structural and Multidisciplinary Optimization
Aeroelastic tailoring using fiber orientation and topology optimization
Structural and Multidisciplinary Optimization
Interactive topology optimization on hand-held devices
Structural and Multidisciplinary Optimization
Topology optimization of hyperelastic bodies including non-zero prescribed displacements
Structural and Multidisciplinary Optimization
Shape equilibrium constraint: a strategy for stress-constrained structural topology optimization
Structural and Multidisciplinary Optimization
Parallel framework for topology optimization using the method of moving asymptotes
Structural and Multidisciplinary Optimization
Stress constrained topology optimization
Structural and Multidisciplinary Optimization
Stiffening of restrained thermal structures via topology optimization
Structural and Multidisciplinary Optimization
Level-set methods for structural topology optimization: a review
Structural and Multidisciplinary Optimization
On the trajectories of penalization methods for topology optimization
Structural and Multidisciplinary Optimization
Stress ratio and compliance based methods in topology optimization --- a critical review
Structural and Multidisciplinary Optimization
On design-dependent constraints and singular topologies
Structural and Multidisciplinary Optimization
Checkerboard and minimum member size control in topology optimization
Structural and Multidisciplinary Optimization
Structural and Multidisciplinary Optimization
Sufficiency of a finite exponent in SIMP (power law) methods
Structural and Multidisciplinary Optimization
Maximization of eigenvalues using topology optimization
Structural and Multidisciplinary Optimization
Stiffness design of geometrically nonlinear structures using topology optimization
Structural and Multidisciplinary Optimization
Structural and Multidisciplinary Optimization
Topology optimization of continuum structures subjected to pressure loading
Structural and Multidisciplinary Optimization
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Topology optimization is the process of determining the optimal layout of material and connectivity inside a design domain. This paper surveys topology optimization of continuum structures from the year 2000 to 2012. It focuses on new developments, improvements, and applications of finite element-based topology optimization, which include a maturation of classical methods, a broadening in the scope of the field, and the introduction of new methods for multiphysics problems. Four different types of topology optimization are reviewed: (1) density-based methods, which include the popular Solid Isotropic Material with Penalization (SIMP) technique, (2) hard-kill methods, including Evolutionary Structural Optimization (ESO), (3) boundary variation methods (level set and phase field), and (4) a new biologically inspired method based on cellular division rules. We hope that this survey will provide an update of the recent advances and novel applications of popular methods, provide exposure to lesser known, yet promising, techniques, and serve as a resource for those new to the field. The presentation of each method's focuses on new developments and novel applications.