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PDROD模型在纤维增强复合材料的损伤研究

DAMAGE INVESTIGATION IN FIBER REINFORCED COMPOSITES USING THE PDROD MODEL

  • 摘要: 碳纤维结构的破坏过程展示出韧脆性、突发性,失效机理呈现出多样性、复杂性,强度研究至关重要。鉴于近场动力学在断裂及损伤研究中的理论优势,本文提出一种新的复合材料近场动力学-杆单元(Peridynamic-Rod, PDROD)模型。在其中,纤维束和树脂基体的力学行为分别由杆单元和PD模型表征,并建立了一种新的纤维/基体界面本构。与常规PD模型比,PDROD存在两点优势:一、数值模型便于调节纤维束的占比;二、能精确捕捉到纤维和基体界面的脱粘模式。正因如此,该PDROD模型能应用于高性能复材研发及损伤评估工作,其对于预浸料成型中纤维束占比调控及界面增韧性能评估具有重要作用。在数值分析中,本文详细探讨了纤维体积分数分别为10%、20%、40%、60%时复材的静态力学响应,结果显示PDROD模型能较好表征各向异性材料的力学属性。此外,从复材的渐进损伤算例可以证实,该计算模型能很好描述纤维剥离特征。

     

    Abstract: The failure process of carbon fiber structures exhibits ductile-brittle and catastrophic characteristics, while the failure mechanisms demonstrate diversity and complexity, making strength research critically important. In view of the theoretical advantages of peridynamics (PD) in fracture and damage research, this paper proposes a novel peridynamic-rod (PDROD) model for composite materials. In this model, the mechanical responses of the fiber bundles and the resin matrix are represented by rod elements and a PD model, while a new constitutive law for the fiber/matrix interface is developed. Compared with conventional PD model, the PDROD framework offers two primary advantages: 1. The numerical model provides flexible adjustment of the fiber volume fraction; 2. It accurately captures the debonding mode at the fiber/matrix interface. As a result, the PDROD model is particularly suitable for the development and damage evaluation of high-performance composites, and serves a critical function in controlling fiber volume fraction and characterizing interfacial toughening behavior during prepreg fabrication. In the numerical analysis, this paper systematically investigates the static mechanical response of the composite material at fiber volume fractions of 10%, 20%, 40%, and 60%. The results demonstrate that the PDROD model effectively characterizes the mechanical properties of anisotropic materials. Additionally, the progressive damage analysis of composites demonstrates that the proposed computational framework effectively captures the fiber

     

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