A TemperatureDependent Hyperelastic Constitutive

doi:10.16183/j.cnki.jsjtu.2017.09.001

Abstract

Abstract: Uniaxial tensile tests under different temperatures were implemented to obtain the basic mechanical property of diaphragm in hot diaphragm preforming of composites. Based on the hyperelastic theory of continuum mechanics and the principle of virtual work, a constitutive model which considered the influence of the temperature under 90℃ was developed to characterize the large deformation behavior of diaphragm. Material parameters were attained by fitting experimental data. The stability of the model was analyzed and then the constitutive model was implemented in Abaqus through the user material subroutine UHYPER. The developed constitutive model was applied to simulate uniaxial tensile and draping of diaphragm over mold. Numerical results were compared with experimental data as a means of model validation. The results show that the simulation results are in good agreement with the experimental results, which verifies the accuracy of the proposed constitutive model.

Key words: hot diaphragm forming, diaphragm, hyperelastic constitutive model, temperature, composites

CLC Number:

TB 125

WANG Lidong1,WEI Ran2,XU Peng2,ZHAO Kexin2,PENG Xiongqi1. A TemperatureDependent Hyperelastic Constitutive[J]. Journal of Shanghai Jiaotong University, 2017, 51(9): 1025-1030.

References

［1］NING H B, JANOWSKI G M, VAIDYA U K. Processing and nonisothermal crystallization kinetics of carbon/PPS in single diaphragm forming［J］. Journal of Composite Materials, 2010, 44(8): 915929.
［2］YU X B, YE L, MAI Y W, et al. Finite element simulations of the doublediaphragm forming process［J］. Revue Européenne des Eléments, 2005, 14(6/7): 633651.
［3］SORRENTINO L, BELLINI C. Potentiality of hot drape forming to produce complex shape parts in composite material［J］. The International Journal of Advanced Manufacturing Technology, 2016, 85(5/6/7/8): 945954.
［4］MALLON P J, O’BRDAIGH C M, PIPES R B. Polymeric diaphragm forming of complexcurvature thermoplastic composite parts［J］. Composites, 1989, 20(1): 4856.
［5］MONAGHAN M R, MALLON P J. High temperature mechanical characterisation of polyimide diaphragm forming films［J］. Composites Part A: Applied Science and Manufacturing, 1998, 29(3): 265272.
［6］BERSEE H E N, BEUKERS A. Diaphragm forming of continuous fibre reinforced thermoplastics: Influence of temperature, pressure and forming velocity on the forming of UpilexR diaphragms［J］. Composites Part A: Applied Science and Manufacturing, 2002, 33 (7): 949958.
［7］TANG Z X, YE L. Characterisation of mechanical properties of thin polymer films using a biaxial tension based on blowup test［J］. Plastics, Rubber and Composites, 2003, 32(10): 459465.
［8］陈鸣, 彭雄奇, 石少卿, 等. 薄膜超弹性本构模型及其在空气垫中的应用［J］. 上海交通大学学报, 2014, 48(6): 883887.
CHEN Ming, PENG Xiongqi, SHI Shaoqing, et al. A hyperelastic constitutive model for membrane and its application in air cushion［J］. Journal of Shanghai Jiao Tong University, 2014, 48(6): 883887.
［9］SEIBERT D J, SCHCHE N. Direct comparison of some recent rubber elasticity models［J］. Rubber Chemistry and Technology, 2000, 73 (2): 366384.
［10］DRUCKER D C. On the postulate of stability of materials in mechanics of continua［J］. J Mécanique, 1963(3): 235249.
［11］WANG L R, LU Z H. Modeling method of constitutive law of rubber hyperelasticity based on finite element simulations［J］. Rubber Chemistry and Technology, 2003, 76(1): 271285.
［12］LAPEER R J, GASSON P D, KARRI V. A hyperelastic finiteelement model of human skin for interactive realtime surgical simulation［J］. IEEE Transactions on Biomedical Engineering, 2011, 58(4): 10131022.
［13］Dassault Systèmes. Abaqus 6.14［CP/OL］. ［20160707］. http:∥abaqus.software.polimi.it/v6.14/index.html.

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