Design of metamaterial-based heat manipulators by isogeometric shape optimization

Jansari, Chintan; Bordas, Stéphane Pierre Alain; Atroshchenko, Elena

doi:10.1016/j.ijheatmasstransfer.2022.123201

Cited by 9 publications

(1 citation statement)

References 31 publications

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“…On the other hand, another shape optimization method that maintains the smoothness is an isogeometric shape optimization method, which uses parametric curves/surfaces such as NURBS (nonuniform rational basis spline) 39 . Jansari et al optimized the shape of the heat manipulators using particle swarm optimization (PSO) method, 40 in which the shape is defined using NURBS basis functions due to the higher smoothness and continuity. CAD‐compatible topology optimization algorithm based on NURBS hyper‐surfaces has been applied to multi‐scale topology optimization of complex anisotropic mono‐material 41–43 and multi‐material structures 44,45 .…”

Section: Introductionmentioning

confidence: 99%

Concurrent multiscale and multi‐material optimization method for natural vibration design of porous structures

Shimoda,

Fujita,

Al Ali

et al. 2024

Numerical Meth Engineering

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This paper proposes a concurrent multiscale optimization method of macrostructure topology and microstructure shapes for porous structures, aimed at maximizing a specified natural frequency. The multi‐material distribution of the macrostructure and the shape of the microstructures are optimized by topology and shape optimization, respectively. The homogenized properties of the porous materials are calculated using the homogenization method, and the homogenized elastic tensor and density are applied to the macrostructure. The optimum distribution of the porous material in the macrostructure is determined by a multi‐material topology optimization using the generalized solid isotropic material with penalization (GSIMP) method, which is a method to obtain multi‐material topology by implementing the successive binarization. The KS (Kreisselmeier–Steinhauser) function is introduced to solve the repeated natural frequencies issue that lies in the maximization of a specified natural frequency. An area‐constrained multiscale optimization problem is formulated as a distributed‐parameter optimization problem, and the sensitivity functions are derived using the Lagrange multiplier method and the adjoint variable method. Based on the obtained sensitivity functions, the design variables are updated using the H1 gradient method (i.e., a nonparametric shape/topology optimization method). The effectiveness of the proposed method for maximizing a specified natural frequency is confirmed through 2D and 3D numerical examples, in which the influences of sub‐regions of the macrostructure and anisotropic material of the microstructures are also investigated and the results are discussed.

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Section: Introductionmentioning

confidence: 99%

Concurrent multiscale and multi‐material optimization method for natural vibration design of porous structures

Shimoda,

Fujita,

Al Ali

et al. 2024

Numerical Meth Engineering

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Design of metamaterial-based heat manipulators using isogeometric level-set topology optimization

Jansari,

Bordas,

Atroshchenko

2024

Struct Multidisc Optim

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We exploit level-set topology optimization to find the optimal material distribution for metamaterial-based heat manipulators. The level-set function, geometry, and solution field are parameterized using the Non-Uniform Rational B-Spline (NURBS) basis functions to take advantage of easy control of smoothness and continuity. In addition, NURBS approximations can produce conic geometries exactly and provide higher efficiency for higher-order elements. The values of the level-set function at the control points (called expansion coefficients) are utilized as design variables. For optimization, we use an advanced mathematical programming technique, Sequential Quadratic Programming. Taking into account a large number of design variables and the small number of constraints associated with our optimization problem, the adjoint method is utilized to calculate the required sensitivities with respect to the design variables. The efficiency and robustness of the proposed method are demonstrated by solving three numerical examples. We have also shown that the current method can handle different geometries and types of objective functions. In addition, regularization techniques such as Tikhonov regularization and volume regularization have been explored to reduce unnecessary complexity and increase the manufacturability of optimized topologies.

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Macroscopic transport characteristics in packed bed with a multi-physics inversion strategy for solid breeding blanket of HCCB TBM

Wang,

Bu,

Zhou

et al. 2024

Applied Thermal Engineering

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Design of metamaterial-based heat manipulators by isogeometric shape optimization

Cited by 9 publications

References 31 publications

Concurrent multiscale and multi‐material optimization method for natural vibration design of porous structures

Concurrent multiscale and multi‐material optimization method for natural vibration design of porous structures

Design of metamaterial-based heat manipulators using isogeometric level-set topology optimization

Macroscopic transport characteristics in packed bed with a multi-physics inversion strategy for solid breeding blanket of HCCB TBM

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