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[1] Nilanjan, M., A methodology for improving shear performance of marine grade sandwich composites: sandwich composite panel with shear key. Composite Structures, 92(5), pp. 1065–1072, 2010. [Crossref]
[2] Xiang, L., Gangyan, L., Chun, H. & Wang, M.Y., Optimum design of composite sandwich structures subjected to combined torsion and bending loads. Applied Composite Materials, 19(3–4), pp. 315–331, 2012.
[3] Gibson, L.J., Optimization of stiffness in sandwich beams with rigid foam cores. Materials Science and Engineering, 67(2), pp. 125–135, 1984. [Crossref]
[4] Triantafillou, T.C. & Gibson, L.J., Minimum weight design of foam core sandwich panels for a given strength. Materials Science and Engineering, 95, pp. 55–62, 1987. [Crossref]
[5] Zenkert, D., An Introduction to Sandwich Construction, Engineering Materials Advisory Services, 1995.
[6] Gibson, L.J. & Ashby, M.F., Cellular Solids: Structure and Properties, Cambridge: Cambridge University Press, 1999.
[7] Annette, M., Minimum weight design of sandwich beams with honeycomb core of arbitrary density. Composites Part B: Engineering, 40, (4), pp. 284–291, 2009. [Crossref]
[8] Christos, K., Simultaneous cost and weight minimization of composite-stiffened panels under compression and shear. Composites Part A: Applied Science and Manufacturing, 28(5), pp. 419–435, 1997. [Crossref]
[9] Henrik, H., Ott, P., Martin, E., Jüri, M., Meelis, P., Jaan, K., et al., Design and testing of sandwich structures with different core materials. Materials Science, 18(1), pp. 45–50, 2012.
[10] Rodrigues, G.P., Guedes, J.M. & Folgado, J.O., Combined topology and stacking sequence optimization of composite laminated structures for structural performance measures. In 4th Engineering Optimization Conference, London, 2015.
[11] Abolfazl, K., Khakshournia, S. & Nader, N.Z., A hybrid method of FEM, modified NSGAII and TOPSIS for structural optimization of sandwich panels with corrugated core. Sandwich Structures and Materials, pp. 1–20, 2014.
[12] Ju, S., Shenoi, R.A., Jiang, D. & Sobey, A.J., Multi-Parameter optimization of lightweight composite triangular truss structure based on response surface methodology.Composite Structures, 97, pp. 107–116, 2013. [Crossref]
[13] Dong, C. & Davies, I.J., Optimal design for the flexural behaviour of glass and carbon fibre reinforced polymer hybrid composites. Materials and Design, 37, pp. 450–457, 2012. [Crossref]
[14] Chensong, D. & Davies, I.J., Flexural and tensile module of unidirectional hybrid epoxy composites reinforced by S-2 glass and T700S carbon fibers. Materials and Design, 54, pp. 893–899, 2014. [Crossref]
[15] Mamalis, A.G., Spentzas, K.N., Pantelelis, N.G., Manolakos, D.E. & Ioannidis, M.B., A new hybrid concept for sandwich structure. Composite Structures, 83(4), pp. 335–340, 2008. [Crossref]
[16] Fajrin, J., Zhuge, Y., Bullen, F. & Wang, H., Significance analysis of flexural behavior of hybrid sandwich panels. Open Journal of Civil Engineering, 3B(3), pp. 1–7, 2013. [Crossref]
[17] Kollár, L. & Springer, G., Mechanics of Composite Structures, Cambridge: Cambridge University Press, 2003. [Crossref]
[18] Massac, A., Ismail-Yahaya, A. & Mattson, C.A., The normalized normal constraint method for generating the pareto frontier. Structural and Multidisciplinary Optimization, 25, pp. 86–98, 2003. [Crossref]
[19] Daniel, I.M. & Ishai, O., Engineering Mechanics of Composite Materials, New York: Oxford University Press, 2006.
[20] Prince Engineering, PLC, available at: /www.build-on-prince.com/carbon-fiber.html (accessed 15 February 2016).
[21] Shenzhen Hong Ye Jie Aerospace New Material CO, LTD, available at: www.resinpu. com (accessed 15 February 2016).
[22] Fibre Glast Developments, available at: http://fibreglast.com (accessed 15 February 2016).
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Acadlore takes over the publication of IJCMEM from 2025 Vol. 13, No. 3. The preceding volumes were published under a CC BY 4.0 license by the previous owner, and displayed here as agreed between Acadlore and the previous owner. ✯ : This issue/volume is not published by Acadlore.

Open Access
Research article

Weight and Cost Multi-Objective Optimization of Hybrid Composite Sandwich Structures

a. i. salem1,
s. l. donaldson2
1
Department of Mechanical & Aerospace Engineering, University of Dayton, USA
2
Department of Civil & Environmental Engineering & Engineering Mechanics, University of Dayton, USA
International Journal of Computational Methods and Experimental Measurements
|
Volume 5, Issue 2, 2017
|
Pages 200-210
Received: N/A,
Revised: N/A,
Accepted: N/A,
Available online: N/A
View Full Article|Download PDF

Abstract:

Producing a light structure with affordable cost without sacrificing strength has always been a challenging task for designers. Using a hybrid material approach provides an expanded methodology to combine materials having different costs and properties (for example, combining fibers with high cost and high stiffness such as carbon with low cost, less stiffness fibers such as glass). Hence, a comparative approach is useful for the evaluation of design solutions in terms of weight and cost. In this study, a methodology for a combined weight and cost optimization for sandwich plates with hybrid composite facesheets and foam core is presented. The weight and cost of the hybrid sandwich plates considered are the objective functions subject to required equality constraints based on the bending and torsional stiffnesses. The hybrid sandwich plates considered consisted of thin hybrid composite facesheets, symmetric with respect to the mid-plane of the sandwich plates. The facesheets considered consisted of carbon/epoxy and E-glass/epoxy fiber-reinforced polymer. The layup of the fibers of the facesheets were restricted to some discrete sets of plies having orientation angles of 0, ±45 and 90. A multi-objective optimization technique was applied to minimize simultaneously the weight and the cost of the hybrid sandwich plate. The normalized normal constraint method with Pareto filter was used to generate the Pareto frontier trade-off curve. The Pareto trade-off curve was constructed by optimizing a sequence of combining weight and cost objective functions, while every function was minimized using the Active Set Algorithm.

Keywords: Cost, Hybrid, Multi-objective optimization, Normalized normal constraint method, Weight

1. Introduction

2. Stiffness Matrices of Sandwich Plate

3. Optimization Methodology

4. Numerical Example and Results

5. Conclusions

Data Availability

The data used to support the findings of this study are available from the corresponding author upon request.

Conflicts of Interest

The authors declare that they have no conflicts of interest.

References
[1] Nilanjan, M., A methodology for improving shear performance of marine grade sandwich composites: sandwich composite panel with shear key. Composite Structures, 92(5), pp. 1065–1072, 2010. [Crossref]
[2] Xiang, L., Gangyan, L., Chun, H. & Wang, M.Y., Optimum design of composite sandwich structures subjected to combined torsion and bending loads. Applied Composite Materials, 19(3–4), pp. 315–331, 2012.
[3] Gibson, L.J., Optimization of stiffness in sandwich beams with rigid foam cores. Materials Science and Engineering, 67(2), pp. 125–135, 1984. [Crossref]
[4] Triantafillou, T.C. & Gibson, L.J., Minimum weight design of foam core sandwich panels for a given strength. Materials Science and Engineering, 95, pp. 55–62, 1987. [Crossref]
[5] Zenkert, D., An Introduction to Sandwich Construction, Engineering Materials Advisory Services, 1995.
[6] Gibson, L.J. & Ashby, M.F., Cellular Solids: Structure and Properties, Cambridge: Cambridge University Press, 1999.
[7] Annette, M., Minimum weight design of sandwich beams with honeycomb core of arbitrary density. Composites Part B: Engineering, 40, (4), pp. 284–291, 2009. [Crossref]
[8] Christos, K., Simultaneous cost and weight minimization of composite-stiffened panels under compression and shear. Composites Part A: Applied Science and Manufacturing, 28(5), pp. 419–435, 1997. [Crossref]
[9] Henrik, H., Ott, P., Martin, E., Jüri, M., Meelis, P., Jaan, K., et al., Design and testing of sandwich structures with different core materials. Materials Science, 18(1), pp. 45–50, 2012.
[10] Rodrigues, G.P., Guedes, J.M. & Folgado, J.O., Combined topology and stacking sequence optimization of composite laminated structures for structural performance measures. In 4th Engineering Optimization Conference, London, 2015.
[11] Abolfazl, K., Khakshournia, S. & Nader, N.Z., A hybrid method of FEM, modified NSGAII and TOPSIS for structural optimization of sandwich panels with corrugated core. Sandwich Structures and Materials, pp. 1–20, 2014.
[12] Ju, S., Shenoi, R.A., Jiang, D. & Sobey, A.J., Multi-Parameter optimization of lightweight composite triangular truss structure based on response surface methodology.Composite Structures, 97, pp. 107–116, 2013. [Crossref]
[13] Dong, C. & Davies, I.J., Optimal design for the flexural behaviour of glass and carbon fibre reinforced polymer hybrid composites. Materials and Design, 37, pp. 450–457, 2012. [Crossref]
[14] Chensong, D. & Davies, I.J., Flexural and tensile module of unidirectional hybrid epoxy composites reinforced by S-2 glass and T700S carbon fibers. Materials and Design, 54, pp. 893–899, 2014. [Crossref]
[15] Mamalis, A.G., Spentzas, K.N., Pantelelis, N.G., Manolakos, D.E. & Ioannidis, M.B., A new hybrid concept for sandwich structure. Composite Structures, 83(4), pp. 335–340, 2008. [Crossref]
[16] Fajrin, J., Zhuge, Y., Bullen, F. & Wang, H., Significance analysis of flexural behavior of hybrid sandwich panels. Open Journal of Civil Engineering, 3B(3), pp. 1–7, 2013. [Crossref]
[17] Kollár, L. & Springer, G., Mechanics of Composite Structures, Cambridge: Cambridge University Press, 2003. [Crossref]
[18] Massac, A., Ismail-Yahaya, A. & Mattson, C.A., The normalized normal constraint method for generating the pareto frontier. Structural and Multidisciplinary Optimization, 25, pp. 86–98, 2003. [Crossref]
[19] Daniel, I.M. & Ishai, O., Engineering Mechanics of Composite Materials, New York: Oxford University Press, 2006.
[20] Prince Engineering, PLC, available at: /www.build-on-prince.com/carbon-fiber.html (accessed 15 February 2016).
[21] Shenzhen Hong Ye Jie Aerospace New Material CO, LTD, available at: www.resinpu. com (accessed 15 February 2016).
[22] Fibre Glast Developments, available at: http://fibreglast.com (accessed 15 February 2016).
Cite this:
APA Style
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BibTex Style
MLA Style
Chicago Style
GB-T-7714-2015
Salem, A. I. & Donaldson, S. L. (2017). Weight and Cost Multi-Objective Optimization of Hybrid Composite Sandwich Structures. Int. J. Comput. Methods Exp. Meas., 5(2), 200-210. https://doi.org/10.2495/CMEM-V5-N2-200-210
A. I. Salem and S. L. Donaldson, "Weight and Cost Multi-Objective Optimization of Hybrid Composite Sandwich Structures," Int. J. Comput. Methods Exp. Meas., vol. 5, no. 2, pp. 200-210, 2017. https://doi.org/10.2495/CMEM-V5-N2-200-210
@research-article{Salem2017WeightAC,
title={Weight and Cost Multi-Objective Optimization of Hybrid Composite Sandwich Structures},
author={A. I. Salem and S. L. Donaldson},
journal={International Journal of Computational Methods and Experimental Measurements},
year={2017},
page={200-210},
doi={https://doi.org/10.2495/CMEM-V5-N2-200-210}
}
A. I. Salem, et al. "Weight and Cost Multi-Objective Optimization of Hybrid Composite Sandwich Structures." International Journal of Computational Methods and Experimental Measurements, v 5, pp 200-210. doi: https://doi.org/10.2495/CMEM-V5-N2-200-210
A. I. Salem and S. L. Donaldson. "Weight and Cost Multi-Objective Optimization of Hybrid Composite Sandwich Structures." International Journal of Computational Methods and Experimental Measurements, 5, (2017): 200-210. doi: https://doi.org/10.2495/CMEM-V5-N2-200-210
SALEM AI， DONALDSON SL. Weight and Cost Multi-Objective Optimization of Hybrid Composite Sandwich Structures[J]. International Journal of Computational Methods and Experimental Measurements， 2017， 5(2)： 200-210. https://doi.org/10.2495/CMEM-V5-N2-200-210