Review on Structure Design and Uncertainty Analysis of Variables Stiffness Composites

doi:10.3901/JME.2019.08.046

Abstract

Abstract: Variables stiffness (VS) composite is a kind of high performance composite and offering a greater potential in performance improvement than the traditional straight-line fiber reinforced composite. However, design and manufacture of the VS composite also becomes more complex. High-performance optimization algorithms are needed to fully explore the potential of the VS composite. Restricted to the manufacturing capability, defects are inevitable and would deteriorate the performance, reliability and stability of the VS composite or ever fail the relative system somehow. Therefore, it is of great necessity to conduct uncertainty analysis on VS composite. The State-of-the-Art review on the optimized design and uncertainty analysis of VS composite in the past decades are provided. Moreover, several suggestions are included according to the latest development.

Key words: design, uncertainty, variables stiffness composite

CLC Number:

TB332

WANG Hu, LI Qidi, LI Guangyao. Review on Structure Design and Uncertainty Analysis of Variables Stiffness Composites[J]. Journal of Mechanical Engineering, 2019, 55(8): 46-55.

Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks

URL: http://www.cjmenet.com.cn/EN/10.3901/JME.2019.08.046

http://www.cjmenet.com.cn/EN/Y2019/V55/I8/46

References

[1] 沈观林,胡更开,刘彬. 复合材料力学[M]. 北京:清华大学出版社,2013. SHEN Guanlin,HU Gengkai,LIU Bin. Mechanics of composite materials[M]. Beijing:Tsinghua University Press,2013.
[2] 杜善义. 先进复合材料与航空航天[J]. 复合材料学报,2007,24(1):1-12. DU Shanyi. Advanced composite materials and aeronautics and astronautics[J]. Acta Materiae Compositae Sinica,2007,24(1):1-12.
[3] ERDAL O,SONMEZ F O. Optimum design of composite laminates for maximum buckling load capacity using simulated annealing[J]. Composite Structures,2005,71(1):45-52.
[4] WU J,BURGUEÑO R,WU J,et al. An integrated approach to shape and laminate stacking sequence optimization of free-form FRP shells[J]. Computer Methods in Applied Mechanics and Engineering,2006,195(33-36):4106-4123.
[5] ABDALLA M M,SETOODEH S,GÜRDAL Z. Design of variable-stiffness composite panels for maximum buckling load[J]. Composite Structures,2009,87(1):109-117.
[6] DÍAZ J,FAGIANO C,ABDALLA M M,et al. A study of interlaminar stresses in variable stiffness plates[J]. Composite Structures,2012,94(3):1192-1199.
[7] PEETERS D M J,LOZANO G G,ABDALLA M M. Effect of steering limit constraints on the performance of variable stiffness laminates[J]. Computers and Structures,2018,196:94-111.
[8] LOPES C S,CAMANHO P P,GÜRDAL Z,et al. Progressive failure analysis of tow-placed,variable- stiffness composite panels[J]. International Journal of Solids and Structures,2007,44(25):8493- 8516.
[9] 刘润兵. 纤维增强复合材料变角度层合板的力学特性研究[D]. 哈尔滨:哈尔滨工业大学,2012. LIU Runbing. Research on the mechanical performance of fiber reinforced composite variable angle laminates[D]. Harbin:Harbin Institute of Technology,2012.
[10] LOPES C S. Damage and failure of non-conventional composite laminates[D]. Delft:Delft University of Technology,2009.
[11] TATTING B F,GUERDAL Z,JEGLEY D. Design and Manufacture of Elastically Tailored Tow Placed Plates:America,CR-2002-211919[P]. 2002-08-01.
[12] BLOM A W,STICKLER P B,GURDAL Z. Design and manufacture of a variable-stiffness cylindrical shell[C]//SAMPE Europe. Proceedings of the SAMPE Europe 30th International Conference,March 23-25,2009,Paris,France. Oerlingen:SAMPE Europe,2009:1-8.
[13] KIM B C,POTTER K,WEAVER P M. Continuous tow shearing for manufacturing variable angle tow composites[J]. Composites Part A,2012,43(8):1347-1356.
[14] KIM B C,WEAVER P M,POTTER K. Manufacturing characteristics of the continuous tow shearing method for manufacturing of variable angle tow composites[J]. Composites Part A Applied Science and Manufacturing,2014,61(3):141-151.
[15] LOZANO G G,TIWARI A,TURNER C,et al. A review on design for manufacture of variable stiffness composite laminates[J]. Proceedings of the Institution of Mechanical Engineers,Part B:Journal of Engineering Manufacture,2016,230(6):981-992.
[16] 孔斌,顾杰斐,陈普会,等. 变刚度复合材料结构的设计、制造与分析[J]. 复合材料学报,2017,34(10):2121-2133. KONG Bin,GU Jiefei,CHEN Puhui,et al. Design,manufacture and analysis of variable stiffness composite structures[J]. Acta Materiae Compositae Sinica,2017,34(10):2121-2133.
[17] GURDAL Z,OLMEDO R. In-plane response of laminates with spatially varying fiber orientations- variable stiffness concept[J]. AIAA Journal,1993,31(4):751-758.
[18] HONDA S,NARITA Y. Vibration design of laminated fibrous composite plates with local anisotropy induced by short fibers and curvilinear fibers[J]. Composite Structures,2011,93(2):902-910.
[19] 秦永利,祝颖丹,范欣愉,等. 纤维曲线铺放制备变刚度复合材料层合板的研究进展[J]. 玻璃钢/复合材料,2012(1):61-66. QIN Yongli,ZHU Yingdan,FAN Xinyu,et al. research and development on variable-stiffness composite laminates manufactured by variable angle tow placement[J]. Fiber Reinforced Plastics/Composites,2012(1):61-66
[20] BRAMPTON C J,WU K C,KIM H A. New optimization method for steered fiber composites using the level set method[J]. Structural and Multidisciplinary Optimization,2015,52(3):493-505.
[21] BLOM A W,TATTING B F,HOL J M A M,et al. Fiber path definitions for elastically tailored conical shells[J]. Composites Part B,2009,40(1):77-84.
[22] GÜRDAL Z,TATTING B F,WU C K. Variable stiffness composite panels:Effects of stiffness variation on the in-plane and buckling response[J]. Composites Part A Applied Science and Manufacturing,2008,39(5):911-922.
[23] ROUHI M,GHAYOOR H,HOA S V,et al. Effect of structural parameters on design of variable-stiffness composite cylinders made by fiber steering[J]. Composite Structures,2014,118(1):472-481.
[24] HAO P,YUAN X,LIU H,et al. Isogeometric buckling analysis of composite variable-stiffness panels[J]. Composite Structures,2017,165(1):192-208.
[25] WANG B,ZHU S,HAO P,et al. Buckling of quasi-perfect cylindrical shell under axial compression:A combined experimental and numerical investigation[J]. International Journal of Solids and Structures,2018,130:232-247.
[26] TIAN K,WANG B,HAO P,et al. A high-fidelity approximate model for determining lower-bound buckling loads for stiffened shells[J]. International Journal of Solids and Structures,2018,148:14-23.
[27] HAO P,YUAN X,LIU C,et al. An integrated framework of exact modeling,isogeometric analysis and optimization for variable-stiffness composite panels[J]. Computer Methods in Applied Mechanics and Engineering,2018,339(1):205-238.
[28] NIK M A,FAYAZBAKHSH K,PASINI D,et al. Surrogate-based multi-objective optimization of a composite laminate with curvilinear fibers[J]. Composite Structures,2012,94(8):2306-2313.
[29] PASSOS A G,LUERSEN M A,STEEVES C A. Optimal curved fiber orientations of a composite panel with cutout for improved buckling load using the Efficient Global Optimization algorithm[J]. Engineering Optimization,2017,49(8):1354-1372.
[30] PASSOS A G,LUERSEN M A. Multi-objective optimization of laminated composite parts with curvilinear fibers using Kriging-based approaches[J]. Structural and Multidisciplinary Optimization,2018,57(3):1115-1127.
[31] NIK M A,FAYAZBAKHSH K,PASINI D,et al. A comparative study of metamodeling methods for the design optimization of variable stiffness composites[J]. Composite Structures,2014,107(1):494-501.
[32] YE F,WANG H,LI G. Variable stiffness composite material design by using support vector regression assisted efficient global optimization method[J]. Structural and Multidisciplinary Optimization,2017,56(1):203-219.
[33] COBURN B H,WEAVER P M. Buckling analysis,design and optimization of variable-stiffness sandwich panels[J]. International Journal of Solids and Structures,2016,96:217-228.
[34] HONDA S,IGARASHI T,NARITA Y. Multi-objective optimization of curvilinear fiber shapes for laminated composite plates by using NSGA-Ⅱ[J]. Composites Part B Engineering,2013,45(1):1071-1078.
[35] MONTEMURRO M,CATAPANO A. On the effective integration of manufacturability constraints within the multi-scale methodology for designing variable angle-tow laminates[J]. Composite Structures,2017,161:145-159.
[36] BLOM A W,STICKLER P B,GÜRDAL Z. Optimization of a composite cylinder under bending by tailoring stiffness properties in circumferential direction[J]. Composites Part B,2010,41(2):157-165.
[37] HUANG G,WANG H,LI G. An efficient reanalysis assisted optimization for variable-stiffness composite design by using path functions[J]. Composite Structures,2016,153:409-420.
[38] MEJLEJ V G,FALKENBERG P,TÜRCK E,et al. Optimization of variable stiffness composites in automated fiber placement process using evolutionary algorithms[J]. Procedia CIRP,2017,66:79-84.
[39] IRISARRI F X,PEETERS D M J,ABDALLA M M. Optimization of ply drop order in variable stiffness laminates[J]. Composite Structures,2016,152:791-799.
[40] NIK M A,FAYAZBAKHSH K,PASINI D,et al. Optimization of variable stiffness composites with embedded defects induced by Automated Fiber Placement[J]. Composite Structures,2014,107:160-166.
[41] SABIDO A,BAHAMONDE L,HARIK R,et al. Maturity assessment of the laminate variable stiffness design process[J]. Composite Structures,2017,160:804-812.
[42] GHIASI H,FAYAZBAKHSH K,PASINI D,et al. Optimum stacking sequence design of composite materials Part Ⅱ:Variable stiffness design[J]. Composite Structures,2010,93(1):1-13.
[43] SRIRAMULA S,CHRYSSANTHOPOULOS M K. Quantification of uncertainty modelling in stochastic analysis of FRP composites[J]. Composites Part AApplied Science and Manufacturing,2009,40(11):1673-1684.
[44] CROFT K,LESSARD L,PASINI D,et al. Experimental study of the effect of automated fiber placement induced defects on performance of composite laminates[J]. Composites Part A Applied Science and Manufacturing,2011,42(5):484-491.
[45] FALCÓ O,MAYUGO J A,LOPES C S,et al. Variable-stiffness composite panels:Defect tolerance under in-plane tensile loading[J]. Composites Part A Applied Science and Manufacturing,2014,63(18):21-31.
[46] MAROUENE A,BOUKHILI R,CHEN J,et al. Effects of gaps and overlaps on the buckling behavior of an optimally designed variable-stiffness composite laminates-A numerical and experimental study[J]. Composite Structures,2016,140:556-566.
[47] LI Q,WANG H,ZENG Y,et al. A D-vine copula-based coupling uncertainty analysis for stiffness predication of variable-stiffness composite[J]. Composite Structures,2018,219:221-241.
[48] MESOGITIS T S,SKORDOS A A,LONG A C. Uncertainty in the manufacturing of fibrous thermosetting composites:A review[J]. Composites Part A:Applied Science and Manufacturing,2014,57:67-75.
[49] SRIRAMULA S,CHRYSSANTHOPOULOS M K. Quantification of uncertainty modelling in stochastic analysis of FRP composites[J]. Composites Part A Applied Science and Manufacturing,2009,40(11):1673-1684.
[50] STEFANOU G. The stochastic finite element method:Past,present and future[J]. Computer Methods in Applied Mechanics and Engineering,2009,198(9):1031-1051.
[51] VANMARCKE E,SHINOZUKA M,NAKAGIRI S,et al. Random fields and stochastic finite elements[J]. Structural Safety,1986,3(3):143-166.
[52] PARK J S,KIM C G,HONG C S. Stochastic finite element method for laminated composite structures[J]. Journal of Reinforced Plastics and Composites,1995,14(7):675-693.
[53] FALSONE G,IMPOLLONIA N. A new approach for the stochastic analysis of finite element modelled structures with uncertain parameters[J]. Computer Methods in Applied Mechanics and Engineering,2002,191(44):5067-5085.
[54] CUI X Y,HU X B,ZENG Y. A copula-based perturbation stochastic method for fiber-reinforced composite structures with correlations[J]. Computer Methods in Applied Mechanics and Engineering,2017,322:351-372.
[55] HU X B,CUI X Y,LIANG Z M,et al. The performance prediction and optimization of the fiber-reinforced composite structure with uncertain parameters[J]. Composite Structures,2017,164:207-218.
[56] SAKATA S,TORIGOE I. A successive perturbation-based multiscale stochastic analysis method for composite materials[J]. Finite Elements in Analysis and Design,2015,102:74-84.
[57] ZHOU X Y,GOSLING P D,PEARCE C J,et al. Perturbation-based stochastic multi-scale computational homogenization method for the determination of the effective properties of composite materials with random properties[J]. Computer Methods in Applied Mechanics and Engineering,2016,300(1):84-105.
[58] ZHOU X Y,GOSLING P D,ULLAH Z,et al. Exploiting the benefits of multi-scale analysis in reliability analysis for composite structures[J]. Composite Structures,2016,155:197-212.
[59] ZHOU X Y,GOSLING P D,PEARCE C J,et al. Perturbation-based stochastic multi-scale computational homogenization method for woven textile composites[J]. International Journal of Solids and Structures,2016,80:368-380.
[60] HIEN T D,NOH H C. Stochastic isogeometric analysis of free vibration of functionally graded plates considering material randomness[J]. Computer Methods in Applied Mechanics and Engineering,2017,318:845-863.
[61] LAL A,PALEKAR S P,MULANI S B,et al. Stochastic extended finite element implementation for fracture analysis of laminated composite plate with a central crack[J]. Aerospace Science and Technology,2017,60:131-151.
[62] GHANEM R G,SPANOS P D. Stochastic finite elements:a spectral approach[M]. New York:Springer,1991.
[63] SEPAHVAND K. Spectral stochastic finite element vibration analysis of fiber-reinforced composites with random fiber orientation[J]. Composite Structures,2016,145:119-128.
[64] SEPAHVAND K. Stochastic finite element method for random harmonic analysis of composite plates with uncertain modal damping parameters[J]. Journal of Sound Vibration,2017,400:1-12.
[65] SEPAHVAND K,MARBURG S,SEPAHVAND K,et al. Spectral stochastic finite element method in vibroacoustic analysis of fiber-reinforced composites[J]. Procedia Engineering,2017,199:1134-1139.
[66] SEPAHVAND K,MARBURG S. Identification of composite uncertain material parameters from experimental modal data[J]. Probabilistic Engineering Mechanics,2014,37(4):148-153.
[67] SEPAHVAND K,SCHEFFLER M,MARBURG S. Uncertainty quantification in natural frequencies and radiated acoustic power of composite plates:Analytical and experimental investigation[J]. Applied Acoustics,2015,87(87):23-29.
[68] XIU D. Numerical methods for stochastic computations:A spectral method approach[J]. Communications in Computational Physics,2010,5(2-4):242-272.
[69] CHEN X,QIU Z. A Novel uncertainty analysis method for composite structures with mixed uncertainties including random and interval variables[J]. Composite Structures,2017,184:400-410.
[70] JEONG H K,SHENOI R A. Probabilistic strength analysis of rectangular FRP plates using Monte Carlo simulation[J]. Computers and Structures,2000,76(1-3):219-235.
[71] DUAN W,WANG Z. Vibration reliability analysis of turbine blade based on ANN and Monte Carlo simulation[J]. Journal of Vibration Measurement and Diagnosis,2010,32(1):1-4.
[72] DEY S,NASKAR S,MUKHOPADHYAY T,et al. Uncertain natural frequency analysis of composite plates including effect of noise-A polynomial neural network approach[J]. Composite Structures,2016,143:130-142.
[73] DEY S,MUKHOPADHYAY T,ADHIKARI S. Metamodel based high-fidelity stochastic analysis of composite laminates:A concise review with critical comparative assessment[J]. Composite Structures,2017,171:227-250.
[74] NGUYEN H X,HIEN T D,LEE J,et al. Stochastic buckling behavior of laminated composite structures with uncertain material properties[J]. Aerospace Science and Technology,2017,66:274-283.
[75] STEFANOU G,SAVVAS D,PAPADRAKAKIS M. Stochastic finite element analysis of composite structures based on material microstructure[J]. Composite Structures,2015,132:384-392.
[76] SAVVAS D,STEFANOU G,PAPADRAKAKIS M. Determination of RVE size for random composites with local volume fraction variation[J]. Computer Methods in Applied Mechanics and Engineering,2016,305:340-358.
[77] STEFANOU G,SAVVAS D,PAPADRAKAKIS M. Stochastic finite element analysis of composite structures based on mesoscale random fields of material properties[J]. Computer Methods in Applied Mechanics and Engineering,2017,326:319-337.
[78] REH S,BELEY J D,MUKHERJEE S,et al. Probabilistic finite element analysis using ANSYS[J]. Steel Construction,2008,28(1):17-43.