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考虑变形诱导纤维转动的增量-正割非线性平均场仿真

INCREMENTAL-SECANT NONLINEAR MEAN-FIELD SIMULATION CONSIDERING DEFORMATION-INDUCED FIBER ROTATION

  • 摘要: 纤维增强聚合物复合材料以其较高的比强度和比刚度而广泛应用于航空航天、汽车等行业,本研究针对纤维增强聚合物复合材料在非线性与损伤建模中的关键难题, 提出两项创新性改进. 建立了具有工程实用价值的先进损伤本构模型. 首先, 针对传统均质化方法在复杂载荷路径下预测失真的技术瓶颈, 以增量-正割非线性法为框架, 创新性地考虑基体非对称塑性与纤维基体界面脱粘等特性, 构建了能够精确捕捉复合材料渐进损伤过程的新型均值场均匀化模型. 该方法在面内剪切等复杂载荷下展现出独特优势, 突破了传统方法的技术瓶颈, 即无法准确模拟应力-应变曲线的缓慢下降段. 其次, 模型创新性的考虑了应变对于纤维转动的影响, 通过量化剪切变形过程中纤维取向的动态演化规律, 显著提升了模型对复合材料大剪切变形的预测精度. 经ABAQUS有限元仿真验证, 该模型成功整合非对称基体塑性、界面脱粘、应变软化等复杂特性, 研究成果显著提升了复合材料结构多尺度损伤建模能力, 为航空航天复合材料结构的精细化设计提供了新的理论工具.

     

    Abstract: Fiber-reinforced polymer composites are extensively employed in aerospace, automotive, and related industries owing to their superior specific strength and stiffness. This research focuses on addressing critical challenges in modeling the nonlinear mechanical behavior and damage evolution of FRP composites, proposing two groundbreaking enhancements to establish an advanced, engineering-oriented damage constitutive model. First, to resolve the inherent limitations of conventional homogenization approaches in predicting inaccuracies under complex loading paths, a novel mean-field homogenization framework is developed using an incremental-secant nonlinear formulation. This framework innovatively incorporates asymmetric elastoplastic deformation of the polymer matrix and fiber-matrix interfacial debonding effects, enabling high-fidelity simulation of progressive damage mechanisms. The proposed model overcomes the longstanding deficiency of traditional methods in capturing the gradual softening phase of stress-strain responses, particularly under in-plane shear and multiaxial loading scenarios, thereby significantly improving predictive reliability for composite failure. Second, a pioneering methodology is introduced to account for strain-induced fiber reorientation during large shear deformations. By formulating a quantitative relationship between shear strain and dynamic fiber orientation evolution, the model achieves exceptional accuracy in predicting nonlinear shear-dominated responses, a critical aspect for composites subjected to complex service conditions. Numerical validation via ABAQUS finite element simulations confirms the model’s capability to integrate multifaceted damage mechanisms, including matrix plasticity anisotropy, interfacial decohesion, and strain-softening effects. The developed framework advances multi-scale damage modeling by bridging microscale damage initiation (e.g., matrix cracking and debonding) with macroscale structural degradation, offering unprecedented insights into failure progression. These advancements provide a robust theoretical foundation for the precision design of aerospace composite structures, particularly in optimizing damage tolerance and weight-critical components. By enhancing the fidelity of virtual testing tools, this research contributes to accelerating the development of next-generation composite materials tailored for extreme operational environments. The proposed methodology is anticipated to serve as a cornerstone for future studies on nonlinear composite mechanics and multiphysics-coupled failure analysis.

     

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