Optimization of thickness and delamination growth in composite laminates under multi-axial fatigue loading using NSGA-II

Abstract Employing NSGA-II, this paper aims to achieve a damage tolerant structure enjoying maximum delamination resistance and thinness; therefore, we simultaneously define minimization of laminate thickness and delamination growth as objective functions. Fiber orientation angle, ply thickness, and stacking sequence are chosen as design variables. The authors consider symmetric glass/epoxy laminates with middle layers containing a single matrix crack. By applying multi-axial fatigue loading, the initiation and growth of local delamination from the tip of the matrix crack in the damaged ply interface became possible. Finally, it is indicated that NSGA-II has good convergence with damage optimization in cracked glass/epoxy composite laminates.

[1]  Stefanos Giannis,et al.  Utilising fracture mechanics principles for predicting the mixed-mode delamination onset and growth in tapered composite laminates , 2013 .

[2]  Fazil O. Sonmez,et al.  Optimum design of composite laminates for minimum thickness , 2008 .

[3]  Gretchen B. Murri,et al.  Fatigue Life Methodology for Tapered Composite Flexbeam Laminates , 1998 .

[4]  Costas Soutis,et al.  Analysis of multiple matrix cracking in [±θm/90n]s composite laminates. Part 1: In-plane stiffness properties , 1992 .

[5]  John A. Nairn,et al.  The initiation and growth of delaminations induced by matrix microcracks in laminated composites , 1992 .

[6]  MULTI-OBJECTIVE OPTIMIZATION OF LAMINATED COMPOSITE PLATE USING A NON-DOMINATED SORTING GENETIC ALGORITHM , 2013 .

[7]  Constantinos Soutis,et al.  The effect of delaminations induced by transverse cracks and splits on stiffness properties of composite laminates , 2000 .

[8]  John G. Michopoulos,et al.  Delamination growth in polymer-matrix fibre composites and the use of fracture mechanics data for material characterisation and life prediction , 2017 .

[9]  Tk O'Brien,et al.  Analysis of Test Methods for Characterizing Skin/Stringer Debonding Failures in Reinforced Composite Panels , 1996 .

[10]  Kenneth Reifsnider,et al.  Fatigue behavior of composite materials , 1980 .

[11]  Jinghong Fan,et al.  In-situ damage evolution and micro/macro transition for laminated composites , 1993 .

[12]  Constantinos Soutis,et al.  Modelling of stiffness degradation due to cracking in laminates subjected to multi-axial loading , 2016, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[13]  M. Quaresimin,et al.  Fatigue damage and stiffness evolution in composite laminates: a damage-based framework , 2018 .

[14]  Gary B. Lamont,et al.  Evolutionary Algorithms for Solving Multi-Objective Problems , 2002, Genetic Algorithms and Evolutionary Computation.

[15]  Roderick H. Martin Local fracture mechanics analysis of stringer pull-off and delamination in a post-buckled compression panel , 1996 .

[16]  Hiroyuki Kawada,et al.  High-cycle fatigue characteristics of quasi-isotropic CFRP laminates over 108 cycles (Initiation and propagation of delamination considering interaction with transverse cracks) , 2010 .

[17]  P. M. Mohite,et al.  Multi-objective multi-laminate design and optimization of a Carbon Fibre Composite wing torsion box using evolutionary algorithm , 2018 .

[18]  Constantinos Soutis,et al.  Predicting residual stiffness of cracked composite laminates subjected to multi-axial inplane loading , 2013 .

[19]  Maria Kashtalyan,et al.  Analysis of composite laminates with intra- and interlaminar damage , 2005 .