An anisotropic multi-phase field model for damage of fiber reinforced composites

IF 8.3 1区 材料科学 Q1 MATERIALS SCIENCE, COMPOSITES
Yuanfeng Yu , Chi Hou
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Abstract

In this paper, an anisotropic multi phase field variables model is proposed for the failure of fiber reinforced composites. In composites, to calculate the strain field at different fiber orientations, the strain in the global coordinate system can be converted to strain in local one by means of a coordinate transformation matrix. Inspired by this idea, a coordinate transformation matrix for the phase field variable is proposed. Based on the coordinate transformation, an anisotropic crack density function capable of describing different fiber orientations is constructed. Secondly, the phase field distribution function and crack bandwidths corresponding to the new crack density function are derived, the influence of different model parameter on the fracture properties are further analyzed, and the reasonable value ranges of these parameters are determined. In order to characterize the effects of different properties of fiber and matrix on the damage evolution of the structure, a mixed mode driving force is proposed. Meanwhile, based on the driving force, the fiber and matrix damage initiation criteria are derived, and the Hashin failure criteria of different dimensions corresponding to the fiber and matrix under tensile conditions are obtained, thus determining the damage evolution laws of fibers and matrix. Finally, the presented model is validated by some examples. The numerical results indicate that the new model can be effectively adopted to study the interlaminar and interface damage of composites under different modes, showing the validity of the proposed model.

Abstract Image

纤维增强复合材料损伤的各向异性多相场模型
本文提出了纤维增强复合材料破坏的各向异性多相场变量模型。在复合材料中,为了计算不同纤维取向处的应变场,可以通过坐标变换矩阵将全局坐标系下的应变转换为局部坐标系下的应变。受此思想的启发,提出了相场变量的坐标变换矩阵。在坐标变换的基础上,构造了能够描述不同纤维取向的各向异性裂纹密度函数。其次,推导了新裂纹密度函数对应的相场分布函数和裂纹带宽,进一步分析了不同模型参数对断裂性能的影响,确定了这些参数的合理取值范围;为了表征纤维和基体不同性能对结构损伤演化的影响,提出了混合模式驱动力。同时,基于驱动力,导出了纤维和基体的损伤起裂判据,得到了纤维和基体在拉伸条件下对应的不同尺寸的哈欣破坏判据,从而确定了纤维和基体的损伤演化规律。最后,通过算例对模型进行了验证。数值结果表明,该模型可以有效地用于研究复合材料在不同模式下的层间和界面损伤,证明了该模型的有效性。
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来源期刊
Composites Science and Technology
Composites Science and Technology 工程技术-材料科学:复合
CiteScore
16.20
自引率
9.90%
发文量
611
审稿时长
33 days
期刊介绍: Composites Science and Technology publishes refereed original articles on the fundamental and applied science of engineering composites. The focus of this journal is on polymeric matrix composites with reinforcements/fillers ranging from nano- to macro-scale. CSTE encourages manuscripts reporting unique, innovative contributions to the physics, chemistry, materials science and applied mechanics aspects of advanced composites. Besides traditional fiber reinforced composites, novel composites with significant potential for engineering applications are encouraged.
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