为获得复合材料热隔膜预成型中隔膜的基本力学性能参数，在不同温度下进行了隔膜材料的单向拉伸实验；基于连续介质力学超弹性理论和虚功原理，建立了描述隔膜材料在90℃以下的不同温度及大变形条件下的本构模型，并通过Abaqus软件的材料子程序UHYPER来实现；通过拟合实验数据获得材料模型参数并分析了模型的稳定性；采用有限元法分别对隔膜单向拉伸性能和隔膜覆盖进行模拟.结果表明:仿真结果与实验结果较吻合，从而验证了所提出的隔膜本构模型的准确性.
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.
［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): 915929.
［2］YU X B, YE L, MAI Y W, et al. Finite element simulations of the doublediaphragm forming process［J］. Revue Européenne des Eléments, 2005, 14(6/7): 633651.
［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): 945954.
［4］MALLON P J, O’BRDAIGH C M, PIPES R B. Polymeric diaphragm forming of complexcurvature thermoplastic composite parts［J］. Composites, 1989, 20(1): 4856.
［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): 265272.
［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 UpilexR diaphragms［J］. Composites Part A: Applied Science and Manufacturing, 2002, 33 (7): 949958.
［7］TANG Z X, YE L. Characterisation of mechanical properties of thin polymer films using a biaxial tension based on blowup test［J］. Plastics, Rubber and Composites, 2003, 32(10): 459465.
［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): 883887.
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): 883887.
［9］SEIBERT D J, SCHCHE N. Direct comparison of some recent rubber elasticity models［J］. Rubber Chemistry and Technology, 2000, 73 (2): 366384.
［10］DRUCKER D C. On the postulate of stability of materials in mechanics of continua［J］. J Mécanique, 1963(3): 235249.
［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): 271285.
［12］LAPEER R J, GASSON P D, KARRI V. A hyperelastic finiteelement model of human skin for interactive realtime surgical simulation［J］. IEEE Transactions on Biomedical Engineering, 2011, 58(4): 10131022.
［13］Dassault Systèmes. Abaqus 6.14［CP/OL］. ［20160707］. http:∥abaqus.software.polimi.it/v6.14/index.html.
