Controlled elitist multi-objective genetic algorithm joined with neural network to study the effects of nano-clay percentage on cell size and polymer foams density of PVC/clay nanocomposites

  • Wei He
  • Seyed Amin Bagherzadeh
  • Hamzeh Shahrajabian
  • Arash Karimipour
  • Hamid Jadidi
  • Quang-Vu BachEmail author


The parameters of foaming and nano-clay percentage on the density of polymer foam and cell size with the PVC field is studied. Cell size and density have a significant impact on the strength of foam and its insulation (including sounds and thermal insulation). By optimizing cell size and density, foam can be produced with the best mechanical properties. In foaming process of the nanocomposite samples by mass method, the design variables (input parameters) are foaming time and temperature and MMT content. The controlled elitist multi-objective GA is applied to minimize both the foam density and the cell size. To that end, the population size and the Pareto fraction are selected as 100 and 0.5, respectively. The noninferior solution obtained by the controlled elitist multi-objective GA is illustrated. When both the MMT and the temperature are high, the resulting foam does not have ideal characteristics.


Statistical neural network Multi-objective genetic algorithm Polymer foam density Clay nanocomposites 



The first author acknowledges the support provided by the Fujian Province Natural Science Foundation (No: 2018J01506), and University-industry cooperation program of Department of Science and Technology of Fujian Province (No. 2019H6018), and Fuzhou Science and Technology Planning Project (Nos. 2018S113, 2018G92), and the Educational Research Projects of Young Teachers of Fujian Province (Nos. JK2017038, JAT170439), and the 2017 Outstanding Young Scientist Training Program of Colleges in Fujian Province.

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.


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Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2019

Authors and Affiliations

  • Wei He
    • 1
  • Seyed Amin Bagherzadeh
    • 2
  • Hamzeh Shahrajabian
    • 2
  • Arash Karimipour
    • 2
  • Hamid Jadidi
    • 2
  • Quang-Vu Bach
    • 3
    Email author
  1. 1.Engineering Research Center of Fujian University for Marine Intelligent Ship EquipmentMinjiang UniversityFuzhouChina
  2. 2.Department of Mechanical Engineering, Najafabad BranchIslamic Azad UniversityNajafabadIran
  3. 3.Sustainable Management of Natural Resources and Environment Research Group, Faculty of Environment and Labour SafetyTon Duc Thang UniversityHo Chi Minh CityVietnam

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