Multi-objective optimization of fiber reinforced composite laminates for strength, stiffness and minimal mass

We present a methodology for the multi-objective optimization of laminated composite materials that is based on an integer-coded genetic algorithm. The fiber orientations and fiber volume fractions of the laminae are chosen as the primary optimization variables. Simplified micromechanics equations a...

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Bibliographic Details
Published in:Computers & structures Vol. 84; no. 29; pp. 2065 - 2080
Main Authors: Pelletier, Jacob L., Vel, Senthil S.
Format: Journal Article
Language:English
Published: Oxford Elsevier Ltd 01.11.2006
Elsevier Science
Subjects:
Applied sciences
Combinatorial optimization
Composite pressure vessel
Composites
Computational techniques
Exact sciences and technology
Forms of application and semi-finished materials
Fracture mechanics (crack, fatigue, damage...)
Fundamental areas of phenomenology (including applications)
Genetic algorithm
Laminated composite materials
Mathematical methods in physics
Mechanical engineering. Machine design
Physics
Polymer industry, paints, wood
Solid mechanics
Stacking sequence
Steel design
Steel tanks and pressure vessels; boiler manufacturing
Structural and continuum mechanics
Technology of polymers
Composite pressure vessel
Stacking sequence
Combinatorial optimization
Laminated composite materials
Genetic algorithm
Stratified material
Fiber reinforced material
Rupture
Epoxy resin
Pressure vessel
Biaxial load
Fracture criterion
Modeling
Composite material
Optimization
Optimal design
Graphite fiber
Matrix fiber interface
Loadbearing capacity
Fiber orientation
Stiffness
Cylindrical shell
Rupture strength
ISSN:0045-7949, 1879-2243
Online Access:Get full text
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Summary:We present a methodology for the multi-objective optimization of laminated composite materials that is based on an integer-coded genetic algorithm. The fiber orientations and fiber volume fractions of the laminae are chosen as the primary optimization variables. Simplified micromechanics equations are used to estimate the stiffnesses and strength of each lamina using the fiber volume fraction and material properties of the matrix and fibers. The lamina stresses for thin composite coupons subjected to force and/or moment resultants are determined using the classical lamination theory and the first-ply failure strength is computed using the Tsai–Wu failure criterion. A multi-objective genetic algorithm is used to obtain Pareto-optimal designs for two model problems having multiple, conflicting, objectives. The objectives of the first model problem are to maximize the load carrying capacity and minimize the mass of a graphite/epoxy laminate that is subjected to biaxial moments. In the second model problem, the objectives are to maximize the axial and hoop rigidities and minimize the mass of a graphite/epoxy cylindrical pressure vessel subject to the constraint that the failure pressure be greater than a prescribed value.
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ISSN:0045-7949
1879-2243
DOI:10.1016/j.compstruc.2006.06.001