Level-set topology optimization for multimaterial and multifunctional mechanical metamaterials

A multi-material level set-based topology and shape optimization method

(2015) Yiqiang Wang et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Topological shape optimization of microstructural metamaterials using a level set method

(2014) Yiqiang Wang et al.   COMPUTATIONAL MATERIALS SCIENCE

Multimaterial topology optimization by volume constrained Allen–Cahn system and regularized projected steepest descent method

(2014) Rouhollah Tavakoli   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Multi-phase structural optimizationviaa level set method

(2014) G. Allaire et al.   ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS

Topological design of compliant smart structures with embedded movable actuators

(2014) Yiqiang Wang et al.   Smart Materials and Structures

Topology optimization of an acoustic metamaterial with negative bulk modulus using local resonance

(2013) Lirong Lu et al.   FINITE ELEMENTS IN ANALYSIS AND DESIGN

Numerical instabilities in level set topology optimization with the extended finite element method

(2013) David Makhija et al.   STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION

Level-set methods for structural topology optimization: a review

(2013) N. P. van Dijk et al.   STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION

Alternating active-phase algorithm for multimaterial topology optimization problems: a 115-line MATLAB implementation

(2013) Rouhollah Tavakoli et al.   STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION

A topology optimization method based on the level set method for the design of negative permeability dielectric metamaterials

(2012) Masaki Otomori et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Topology optimization of structures using meshless density variable approximants

(2012) Zhen Luo et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Mechanical metamaterials with negative compressibility transitions

(2012) Zachary G. Nicolaou et al.   NATURE MATERIALS

Topology optimization for negative permeability metamaterials using level-set algorithm

(2011) Shiwei Zhou et al.   ACTA MATERIALIA

Structural topology optimization based on non-local Shepard interpolation of density field

(2011) Zhan Kang et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A mass constraint formulation for structural topology optimization with multiphase materials

(2011) Tong Gao et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Structural shape and topology optimization using a meshless Galerkin level set method

(2011) Z. Luo et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

On the auxetic properties of generic rotating rigid triangles

(2011) J. N. Grima et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

A topology optimization method based on the level set method incorporating a fictitious interface energy

(2010) Takayuki Yamada et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Design of Multi-phase Piezoelectric Actuators

(2010) Zhen Luo et al.   JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES

Integrated layout design of multi-component system

(2008) Jihong Zhu et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Piecewise constant level set method for structural topology optimization

(2008) Peng Wei et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Design of piezoelectric actuators using a multiphase level set method of piecewise constants

(2008) Zhen Luo et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A level set-based parameterization method for structural shape and topology optimization

(2007) Zhen Luo et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING