A multi-scale approach for the simultaneous shape and material optimisation of sandwich panels with cellular core

This work deals with the problem of the optimum design of a sandwich panel made of carbon-epoxy skins and a metallic cellular core. The proposed design strategy is a multi-scale numerical optimisation procedure that does not make use of any simplifying hypothesis to obtain a true global optimum conf...

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Published in:Composites. Part B, Engineering Vol. 91; pp. 458 - 472
Main Authors: Montemurro, Marco, Catapano, Anita, Doroszewski, Dominique
Format: Journal Article
Language:English
Published: Elsevier Ltd 15.04.2016
Subjects:
ISSN:1359-8368, 1879-1069
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Abstract This work deals with the problem of the optimum design of a sandwich panel made of carbon-epoxy skins and a metallic cellular core. The proposed design strategy is a multi-scale numerical optimisation procedure that does not make use of any simplifying hypothesis to obtain a true global optimum configuration of the system. To face the design of the sandwich structure at both meso and macro scales, a two-level optimisation strategy is employed: at the first level the goal is the determination of the optimum shape of the unit cell of the core (meso-scale) together with the material and geometric parameters of the laminated skins (macro-scale), while at the second level the objective is the design of the skins stacking sequence (skin meso-scale) meeting the geometrical and material parameters provided by the first-level problem. The two-level strategy is founded on the polar formalism for the description of the anisotropic behaviour of the laminates, on the NURBS basis functions for representing the shape of the unit cell and on the use of a genetic algorithm as optimisation tool to perform the solution search. To prove its effectiveness, the multi-scale strategy is applied to the least-weight design of a sandwich plate subject to constraints of different nature: on the positive-definiteness of the stiffness tensor of the core, on the admissible material properties of the laminated faces, on the local buckling load of the unit cell, on the global buckling load of the panel and geometrical as well as manufacturability constraints related to the fabrication process of the cellular core.
AbstractList This work deals with the problem of the optimum design of a sandwich panel made of carbon-epoxy skins and a metallic cellular core. The proposed design strategy is a multi-scale numerical optimisation procedure that does not make use of any simplifying hypothesis to obtain a true global optimum configuration of the system. To face the design of the sandwich structure at both meso and macro scales, a two-level optimisation strategy is employed: at the first level the goal is the determination of the optimum shape of the unit cell of the core (meso-scale) together with the material and geometric parameters of the laminated skins (macro-scale), while at the second level the objective is the design of the skins stacking sequence (skin meso-scale) meeting the geometrical and material parameters provided by the first-level problem. The two-level strategy is founded on the polar formalism for the description of the anisotropic behaviour of the laminates, on the NURBS basis functions for representing the shape of the unit cell and on the use of a genetic algorithm as optimisation tool to perform the solution search. To prove its effectiveness, the multi-scale strategy is applied to the least-weight design of a sandwich plate subject to constraints of different nature: on the positive-definiteness of the stiffness tensor of the core, on the admissible material properties of the laminated faces, on the local buckling load of the unit cell, on the global buckling load of the panel and geometrical as well as manufacturability constraints related to the fabrication process of the cellular core.
Author Doroszewski, Dominique
Montemurro, Marco
Catapano, Anita
Author_xml – sequence: 1
  givenname: Marco
  surname: Montemurro
  fullname: Montemurro, Marco
  email: marco.montemurro@ensam.eu, marco.montemurro@u-bordeaux1.fr
  organization: Arts et Métiers ParisTech, I2M CNRS UMR 5295, F-33400 Talence, France
– sequence: 2
  givenname: Anita
  surname: Catapano
  fullname: Catapano, Anita
  organization: Bordeaux INP, Université de Bordeaux, I2M CNRS UMR 5295, F-33400 Talence, France
– sequence: 3
  givenname: Dominique
  surname: Doroszewski
  fullname: Doroszewski, Dominique
  organization: Arts et Métiers ParisTech, F-33400 Talence, France
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Keywords A. Honeycomb
Shape optimisation
C. Computational modelling
B. Buckling
A. Laminates
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Snippet This work deals with the problem of the optimum design of a sandwich panel made of carbon-epoxy skins and a metallic cellular core. The proposed design...
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SubjectTerms A. Honeycomb
A. Laminates
B. Buckling
C. Computational modelling
Cellular
Design engineering
Design optimization
Mathematical models
Optimization
Sandwich construction
Shape optimisation
Strategy
Unit cell
Title A multi-scale approach for the simultaneous shape and material optimisation of sandwich panels with cellular core
URI https://dx.doi.org/10.1016/j.compositesb.2016.01.030
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