变角度复合材料单元型近场动力学模型

Variable-angle composite element-based peridynamic model

  • 摘要: 变角度复合材料具有优异的力学性能和更强的可设计性,研究变角度复合材料结构的力学行为和损伤特性对工程应用和结构设计具有重要科学意义。单元型近场动力学(Element-based peridynamics,EBPD)理论基于积分-微分方程,处理不连续问题时不存在奇异性问题,相比于经典连续介质力学方法可以方便处理断裂等破坏问题。通过虚拟单元积分点的位置与纤维角度的对应关系,提出了EBPD变角度复合材料单层板模型。通过对具有不同边缘初始角度含中心圆孔的变角度复合材料单层板变形模拟验证了模型的可靠性,并预测不同角度单层板的裂纹扩展路径。提出的模型可以准确表征变角度复合材料单层板的变形以及破坏模式,为其强度评估及结构设计提供理论指导。

     

    Abstract: Variable angle composite materials exhibit excellent mechanical properties and enhanced design flexibility. Investigating the mechanical behavior and damage characteristics of variable angle composite structures is of significant scientific value for engineering applications and structural design. The element-based peridynamics (EBPD) theory, which is based on integro-differential equations, avoids singularity issues when dealing with discontinuities and can conveniently handle fracture problems compared to classical continuum mechanics methods. By establishing a correspondence between the positions of virtual element integration points and fiber angles, an EBPD model for variable angle composite laminates was proposed. The reliability of the model was verified through deformation simulations of variable angle composite laminates with different initial edge angles and a central circular hole. The model also predicts crack propagation paths in laminates with different angles. The proposed model can accurately characterize the deformation and failure modes of variable angle composite laminates, providing theoretical guidance for strength assessment and structural design.

     

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