Shape Optimization By The Level-set Method
Applied To Architectured Flexural Panels
Author(s)
L. Laszczyk, R. Dendievel, G. Parry, Y. Bréchet & O. Bouaziz
Abstract
Architectured materials (such as foams, corrugated structures, trusses, hollow
spheres) are used, alone or as core material in a sandwich structure, for flexural
panels. The idea is to take advantage of the architecture to combine multiple
functionalities (e.g. lightweight, stiffness, thermal insulation). Therefore it seems
relevant to design the distribution of matter in order to obtain the desired
performances. Multi-functional and conflicting specifications lead to non-trivial
selection and/or optimization problems. It is hence proposed to use numerical
shape optimization procedures into a \“material by design” approach applied to
periodically architectured flexural panels.
A finite element analysis on the unit cell is presented to compute the effective
stiffness of each panel depending on its architecture. Then, shape optimization
by the level-set method is made on the unit cell with regard to the effective
stiffness and a volume constraint. Multiple start geometries and objective
functions are tested. The four-point bending test, which usually characterizes
flexural panels performance, is used as a reference for both homogenization and
optimization.
Keywords: shape optimization, level-set method, homogenization, flexural panel,
sandwich structures, architectured materials.
1 Introduction
Specifications in automotive industries are more and more complex in the way
that multi-functional performances (such as stiffness, thermal and acoustic
insulation) are required while keeping the weight as low as possible. Composite
and architectured materials often give efficient solutions. Recently, numerous
Keywords
shape optimization, level-set method, homogenization, flexural panel,
sandwich structures, architectured materials
Related Book
Other papers in this volume
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