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首页> 外文期刊>International Journal of Fracture >Modeling fracture of fiber reinforced polymer
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Modeling fracture of fiber reinforced polymer

机译:纤维增强聚合物的断裂模拟

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In the present paper 3D rate sensitive constitutive model for modeling of laminate composites is presented. The model is formulated within the framework of continuum mechanics based on the principles of irreversible thermodynamics. The matrix (polyester resin) is modeled by employing a 3D rate sensitive microplane model. For modeling of fibers (glass) a uni-axial constitutive law is used. The fibers are assumed to be uniformly smeared-out over the matrix. The formulation is based on the assumption of strain compatibility between matrix and fibers. Total stress tensor is additively decomposed into the contribution of matrix and fibers, respectively. To model de-lamination of fibers, the matrix is represented by periodically distributed initial imperfection over the pre-defined bands, which are parallel to fibers. Physically, this assumption accounts for the matrix-fiber interface in a smeared way. The input parameters of the model are defined by the mechanical properties of matrix and fibers (elastic properties, strength and fracture energy), the volume fraction of fibers and by their spatial orientation. The model is implemented into a 3D finite element code. To assure mesh objective results crack band method is employed. The model is first calibrated using a few basic test results. Subsequently, the model is validated with several numerical examples for specimens loaded in uni-axial tension, uni-axial compression and shear. Comparison between numerical and test results shows that the proposed model is able to predict the resistance and failure mode of complex fiber-reinforced composite for different orientation of fibers and different loading conditions with sufficient accuracy. Finally, based on the qualitative type of the finite element analysis, it is demonstrated that the strain rate dependency becomes more important when the angle between the fiber and load direction increases.
机译:在本文中,提出了用于层合复合材料建模的3D速率敏感本构模型。该模型是根据不可逆热力学原理在连续力学的框架内制定的。通过使用3D速率敏感的微平面模型对基质(聚酯树脂)进行建模。为了对纤维(玻璃)建模,使用了单轴本构定律。假定纤维在基质上均匀涂抹。该公式基于基体和纤维之间应变相容性的假设。总应力张量分别累加分解为基体和纤维的贡献。为了对纤维分层进行建模,矩阵是通过在与纤维平行的预定义带上周期性分布的初始缺陷来表示的。在物理上,此假设以涂抹的方式考虑了矩阵-光纤接口。模型的输入参数由基质和纤维的机械性能(弹性,强度和断裂能),纤维的体积分数及其空间方向定义。该模型被实现为3D有限元代码。为了确保网格目标结果的使用裂纹带方法。首先使用一些基本测试结果对模型进行校准。随后,使用几个数值示例对单轴拉伸,单轴压缩和剪切加载的样本进行模型验证。数值与试验结果的比较表明,所提出的模型能够以足够的精度预测复杂纤维增强复合材料在不同纤维取向和不同载荷条件下的阻力和破坏模式。最后,基于有限元分析的定性类型,证明了当纤维与载荷方向之间的夹角增加时,应变率相关性变得更加重要。

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