基于有限元模型修正和人工神经网络的复合材料剪切非线性力学行为反演研究

Study on inverse identification of composites’ nonlinear shear mechanical behavior based on finite element model updating method and artificial neural network

  • 摘要: 环氧树脂基碳纤维增强复合材料具有比强度高和比模量大等优点,被广泛应用于航空航天和汽车制造等领域。现有环氧树脂基碳纤维增强复合材料力学行为分析往往基于线弹性材料本构假设,但工程中其剪切变形行为往往呈现出明显的非线性。剪切模量的退化除与剪切应变有关外,还与垂直纤维方向正应变有关,准确表征其剪切非线性行为对充分发挥复合材料的力学性能和设计合理的复合材料结构具有重要意义。本文针对环氧树脂基碳纤维增强复合材料层合板开展了短梁剪切实验,利用数字图像相关技术和有限元模型修正法反演获得了复合材料的剪切模量场,并在此基础上借助人工神经网络表征了复合材料的剪切非线性力学行为。结果表明剪切模量的退化主要由剪切应变主导,但垂直纤维方向正应变也起重要作用,即在低剪切应变下,较大的正应变可能会诱发基体损伤或微裂纹,进而导致模量折减;而在高剪切应变下,其影响则可忽略不计。

     

    Abstract: Carbon fiber reinforced epoxy resin matrix composites have the advantages of high specific strength and high specific modulus, and are widely used in aerospace, automobile manufacturing and other fields. The mechanical analysis of carbon fiber reinforced epoxy resin matrix composites is usually based on the linear elastic constitutive assumption. However, in engineering, their shear deformation behavior often exhibits significant nonlinearity. The degradation of the shear modulus is related to not only the shear strain, but also the normal strain perpendicular to the fiber. Accurate characterization of the nonlinear shear behavior is of great significance for the full use of the mechanical properties of composites and the design of reasonable composite structures. In this paper, short beam shear tests were carried out for carbon fiber reinforced epoxy resin matrix composite laminates. The shear modulus field of the composite was obtained by combining the digital image correlation method with the finite element model updating method. On this basis, the nonlinear shear mechanical behavior of the composite was characterized using artificial neural network. The results indicate that the degradation of shear modulus is primarily dominated by shear strain, but the normal strain perpendicular to the fiber also plays a significant role. Specifically, at low shear strain levels, a large normal strain may induce matrix damage or microcracks, leading to modulus reduction; conversely, at high shear strain levels, its influence is negligible.

     

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