A Hyperelastic Constitutive Model for Membrane and Its Application in Air Cushion

Abstract

Abstract:

In order to accurately describe the mechanical behavior of air cushion in finite element analysis，a constitutive model for polymer membrane was developed and applied to study the cushioning properties of air cushion. Based on uniaxial tensile tests of the polymer film, a compressible hyperelastic constitutive model was proposed. Material parameters were obtained by curve fitting. The model was validated by implementing numerical simulations on compression test of one column of the air cushion. Comparisons between simulation results and experimental data show that the proposed hyperelastic model can effectively characterize the nonlinear material behavior of the polymer membrane. The model was further applied to analyze the influence of inflation pressure on the performance of the air cushion. The development of the hyperelastic constitutive model is critical to the numerical simulation and design optimization of air cushion packaging.

Key words: air cushion, polymer membrane, heperelastic, constitutive model, finite element analysis

CLC Number:

TB 125

CHEN Ming1,PENG Xiongqi1，SHI Shaoqing2,YANG Huazheng3. A Hyperelastic Constitutive Model for Membrane and Its Application in Air Cushion[J]. Journal of Shanghai Jiaotong University, 2014, 48(06): 883-887.

References

［1］任冬远. 空气垫在受到跌落冲击时的缓冲机理及性能研究［D］. 无锡：江南大学机械工程学院, 2008.

［2］赵德坚.充气量对充气缓冲包装垫缓冲性能的影响研究［J］.包装工程，2011,32(13):3234.

ZHAO Dejian. On influence of gas volume on cushioning property of air cushion［J］. Packaging Engineering, 2011, 32(13):3234.

［3］Chen M R, Zhang J F. Optimal design of cushion package for airdrop system［J］. Applied Mechanics and Materials, 2012, 200:617620.

［4］Gunawan F. Numerical modelling and experimental verification of airbag for packaging material application［J］. International Journal, 2012,7(1):6468.

［5］Wang J, Chen J L, Ji H W. Numerical analysis for loadbearing capacity and cushioning performance of structural unit of molded pulp product［C］//2011 International Conference on Electric Information and Control Engineering. Wuhan: IEEE Computer Society, 2011: 33873390.

［6］Liu C, Zhang L, Shen X. CAD Applications of constitutive model of foamed cushioning materials［J］. Packaging Engineering, 2012, 33(13): 6365.

［7］MayNewman K, Lam C, Yin F C P. A hyperelastic constitutive law for aortic valve tissue［J］. Journal of Biomechanical Engineering, 2009, 131(8): 81009.181009.7.

［8］龚科家,危银涛,叶进雄.填充橡胶超弹性本构参数试验与应用［J］.工程力学,2009,26(6):193198.

GONG Kejia, WEI Yintao, YE Jinxiong. Constitutive parametric experiment of tire rubber hyperelastic laws with application［J］. Engineering Mechanics, 2009, 26(6):193198.

［9］Laprade E J, Long R, Pham J T, et al. Large deformation and adhesive contact studies of axisymmetric membranes［J］. The ACS Journal of Surfaces and Colloids, 2013, 29(5): 14071419.

［10］Pearce S. Effect of strainenergy function and axial prestretch on the bulges, necks and kinks forming in elastic membrane tubes［J］. Mathematics and Mechanics of Solids, 2012, 17(8): 860875.

［11］Kim B, Lee S B, Lee J, et al. A comparison among NeoHookean model, MooneyRivlin model, and Ogden model for chloroprene rubber［J］. International Journal of Precision Engineering and Manufacturing, 2012, 13(5): 759764.

［12］Sasso M, Palmieri G, Chiappini G, et al. Characterization of hyperelastic rubberlike materials by biaxial and uniaxial stretching tests based on optical methods［J］. Polymer Testing, 2008, 27(8): 9951004.

［13］Meunier L, Chagnon G, Favier D, et al. Mechanical experimental characterisation and numerical modelling of an unfilled silicone rubber［J］. Polymer Testing, 2008, 27(6): 765777.

［14］Ahmed A S, Computational continuum mechanics［M］. New York: Cambridge University Press,2008:144145.

［15］Hu S F, Chen X X, Li H, et al. Quasi static compression characteristic of PP/wood flour foams［J］. Polymer Materials Science & Engineering, 2012,28(11):5658.

［16］任冬远,卢立新.空气垫几何压缩模型的研究［J］.包装工程，2008,29(2):1214.

REN Dongyuan, LU Lixin. Research on the geometry modeling of airbag in static compression ［J］. Packaging Engineering, 2008,29(2):1214.

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