Computational optimization for porosity-dependent isogeometric analysis of functionally graded sandwich nanoplates

A simply and effectively computational optimization for porosity-dependent isogeometric analysis of functionally graded (FG) sandwich nanoplates is proposed for the first time. Porosity-dependent material properties are defined via the modified power law function. The distribution of ceramic volume...

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Published inComposite structures Vol. 239; p. 112029
Main Authors Phung-Van, P., Ferreira, A.J.M., Thai, Chien H.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.05.2020
Subjects
FG sandwich nanoplates
Isogeometric analysis
Multi-patch B-splines
Optimization
Porosity-dependent analysis
Isogeometric analysis
Porosity-dependent analysis
FG sandwich nanoplates
Multi-patch B-splines
Optimization
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Abstract A simply and effectively computational optimization for porosity-dependent isogeometric analysis of functionally graded (FG) sandwich nanoplates is proposed for the first time. Porosity-dependent material properties are defined via the modified power law function. The distribution of ceramic volume fraction is approximated by using the multi-patch B-spline basis functions through the thickness direction. This approach ensures smoothly and continuously vary material properties across each layer, and automatically satisfies the C0-continuity at each layer interfaces. To consider length scale effects, the Eringen’s nonlocal elasticity theory is used to model porous FG sandwich nanoplates. Based on a combination of NURBS formulations and four variables refined plate theory, governing equations of the nanoplates are derived and employed to obtain natural frequencies of the porous FG sandwich nanoplates. The present approximation is easy to satisfy the requirement of at least third order derivatives of basis functions in approximate formulations of nanoplates. To save computational costs, an adaptive hybrid evolutionary firefly algorithm is used. Continuous design variables including the thickness of each layer and the ceramic volume fraction at control points are considered for constraint optimization problems. New results are performed and considered as benchmark results for further studies on the porous FG sandwich nanoplates.
AbstractList A simply and effectively computational optimization for porosity-dependent isogeometric analysis of functionally graded (FG) sandwich nanoplates is proposed for the first time. Porosity-dependent material properties are defined via the modified power law function. The distribution of ceramic volume fraction is approximated by using the multi-patch B-spline basis functions through the thickness direction. This approach ensures smoothly and continuously vary material properties across each layer, and automatically satisfies the C0-continuity at each layer interfaces. To consider length scale effects, the Eringen’s nonlocal elasticity theory is used to model porous FG sandwich nanoplates. Based on a combination of NURBS formulations and four variables refined plate theory, governing equations of the nanoplates are derived and employed to obtain natural frequencies of the porous FG sandwich nanoplates. The present approximation is easy to satisfy the requirement of at least third order derivatives of basis functions in approximate formulations of nanoplates. To save computational costs, an adaptive hybrid evolutionary firefly algorithm is used. Continuous design variables including the thickness of each layer and the ceramic volume fraction at control points are considered for constraint optimization problems. New results are performed and considered as benchmark results for further studies on the porous FG sandwich nanoplates.
ArticleNumber 112029
Author Phung-Van, P.
Thai, Chien H.
Ferreira, A.J.M.
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  givenname: A.J.M.
  surname: Ferreira
  fullname: Ferreira, A.J.M.
  organization: Departamento de Engenharia Mecanica, Faculdade de Engenharia, Universidade do Porto, Portugal
– sequence: 3
  givenname: Chien H.
  surname: Thai
  fullname: Thai, Chien H.
  email: thaihoangchien@tdtu.edu.vn
  organization: Division of Computational Mechanics, Ton Duc Thang University, Ho Chi Minh City, Viet Nam
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Keywords Isogeometric analysis
Porosity-dependent analysis
FG sandwich nanoplates
Multi-patch B-splines
Optimization
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  start-page: 120
  year: 2017
  ident: 10.1016/j.compstruct.2020.112029_b0095
  article-title: Size-dependent isogeometric analysis of functionally graded carbon nanotube-reinforced composite nanoplates
  publication-title: Compos Struct
  doi: 10.1016/j.compstruct.2017.01.049
  contributor:
    fullname: Phung-Van
– volume: 194
  start-page: 1891
  issue: 18–20
  year: 2005
  ident: 10.1016/j.compstruct.2020.112029_b0105
  article-title: Thermomechanically coupled sensitivity analysis and design optimization of functionally graded materials
  publication-title: Comp Methods Appl Mech Eng
  doi: 10.1016/j.cma.2004.07.005
  contributor:
    fullname: Chen
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Snippet A simply and effectively computational optimization for porosity-dependent isogeometric analysis of functionally graded (FG) sandwich nanoplates is proposed...
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elsevier
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StartPage 112029
SubjectTerms FG sandwich nanoplates
Isogeometric analysis
Multi-patch B-splines
Optimization
Porosity-dependent analysis
Title Computational optimization for porosity-dependent isogeometric analysis of functionally graded sandwich nanoplates
URI https://dx.doi.org/10.1016/j.compstruct.2020.112029
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