Special Issue "Novel Methods of Topology Optimization and Engineering Applications"

Submission Deadline: 31 May 2021 (closed)
Guest Editors
Prof. Kai Long, North China Electric Power University, China
Prof. Xiaodong Huang, Swinburne University of Technology, Australia
Dr. Quhao Li, Shandong University, China
Dr. Xuan Wang, Hefei University of Technology, China
Prof. Zunyi Duan, Northwestern Polytechnical University, China


As a promising design tool, topology optimization has experienced tremendous progress. Aiming to allocate the available material to maximize system performance while satisfying multiple constraints, a number of branches have come into emergence, e.g. homogenization method, Solid Isotropic Material with Penalization (SIMP), Evolutionary Structural Optimization (ESO) and Bi-directional Evolutionary Structural Optimization (BESO), level set method (LSM), phase field method, moving morphable components or voids (MMC, MMV) method. In recent years, several novel methods on topology optimization have emerged, such as parametric level set method, moving morphable components method, new bubble method and the combination with traditional technique.


We initiate this special issue to highlight the new developments of topology optimization methods and their applications, with particular focus on theory developments, numerical implementations and potential applications.


Potential topics include but are not limited to:

(1) New topology optimization method, theory, numerical technique and its engineering application

(2) Metamaterial material design, bionics design, multi-scale design by topology optimization method

(3) Topology optimization method related to nonlinearity, buckling, stress, fatigue and multiple physical problems

(4) Topology optimization combined with large-scale computation or reliability

Topology optimization, multi-scale design, bionics design, nonlinear topology optimization

Published Papers
  • Multi-Material Topology Optimization of Structures Using an Ordered Ersatz Material Model
  • Abstract This paper proposes a new element-based multi-material topology optimization algorithm using a single variable for minimizing compliance subject to a mass constraint. A single variable based on the normalized elemental density is used to overcome the occurrence of meaningless design variables and save computational cost. Different from the traditional material penalization scheme, the algorithm is established on the ordered ersatz material model, which linearly interpolates Young's modulus for relaxed design variables. To achieve a multi-material design, the multiple floating projection constraints are adopted to gradually push elemental design variables to multiple discrete values. For the convergent element-based solution, the multiple… More
  •   Views:154       Downloads:130        Download PDF

  • Fatigue Topology Optimization Design Based on Distortion Energy Theory and Independent Continuous Mapping Method
  • Abstract Fatigue failure is a common failure mode under the action of cyclic loads in engineering applications, which often occurs with no obvious signal. The maximum structural stress is far below the allowable stress when the structures are damaged. Aiming at the lightweight structure, fatigue topology optimization design is investigated to avoid the occurrence of fatigue failure in the structural conceptual design beforehand. Firstly, the fatigue life is expressed by topology variables and the fatigue life filter function. The continuum fatigue optimization model is established with the independent continuous mapping (ICM) method. Secondly, fatigue life constraints are transformed to distortion energy… More
  •   Views:180       Downloads:156        Download PDF

  • A Combined Shape and Topology Optimization Based on Isogeometric Boundary Element Method for 3D Acoustics
  • Abstract A combined shape and topology optimization algorithm based on isogeometric boundary element method for 3D acoustics is developed in this study. The key treatment involves using adjoint variable method in shape sensitivity analysis with respect to non-uniform rational basis splines control points, and in topology sensitivity analysis with respect to the artificial densities of sound absorption material. OpenMP tool in Fortran code is adopted to improve the efficiency of analysis. To consider the features and efficiencies of the two types of optimization methods, this study adopts a combined iteration scheme for the optimization process to investigate the simultaneous change of… More
  •   Views:439       Downloads:403        Download PDF

  • Robust Topology Optimization of Periodic Multi-Material Functionally Graded Structures under Loading Uncertainties
  • Abstract This paper presents a robust topology optimization design approach for multi-material functional graded structures under periodic constraint with load uncertainties. To characterize the random-field uncertainties with a reduced set of random variables, the Karhunen-Loève (K-L) expansion is adopted. The sparse grid numerical integration method is employed to transform the robust topology optimization into a weighted summation of series of deterministic topology optimization. Under dividing the design domain, the volume fraction of each preset gradient layer is extracted. Based on the ordered solid isotropic microstructure with penalization (Ordered-SIMP), a functionally graded multi-material interpolation model is formulated by individually optimizing each preset… More
  •   Views:366       Downloads:336        Download PDF