基于各向异性相场模型的变刚度复合材料开孔板失效行为分析

doi:10.7527/S1000-6893.2025.32380

Abstract

Abstract:

This study investigates the failure behavior of open-hole Variable-Stiffness Composite （VSC） laminates. A fiber placement path was fitted based on the distribution of principal stresses， and an anisotropic and quasi-brittle phase-field model was developed to predict the damage evolution in VSCs. First， a direction-dependent crack surface density function was introduced into the unified phase-field framework to capture the anisotropic characteristics during crack propagation. Then， a phase-field driving force and damage constitutive relationship suitable for mixed failure modes were constructed， enabling the model to analyze coupled failure mechanisms. By implementing an alternate solution scheme and a layered element structure in the UEL subroutine， the phase-field model was numerically solved using ABAQUS. To verify the accuracy and applicability of the model， damage and failure analyses were conducted on single-edge-notched plates made of straight-fiber and curved-fiber composites， respectively. The results indicate that the model can reasonably predict the mechanical behavior and crack propagation paths of composite laminates. Finally， the model was used to simulate the tensile failure and damage evolution of open-hole plates with constant and variable stiffness. The results show that the predicted crack paths agree well with experimental observations， and the tensile strength of the variable stiffness plate is significantly improved compared to that of the constant stiffness plate.

Key words: variable-stiffness composites, phase-field model, damage analysis, crack propagation, failure behavior

CLC Number:

V215

Kai LIU, Fangli WANG, Binqi CHEN, Xiangming CHEN, Zishi SHEN, Mingbo TONG. Failure behavior analysis of variable-stiffness composite open-hole plates based on an anisotropic phase-field model[J]. Acta Aeronautica et Astronautica Sinica, 2025, 46(21): 532380.

Figures/Tables 17

Fig.1

Fig.2

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Fig.4

Fig.5

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Fig.7

Table 1

Composite material properties

属性	数值
纵向弹性模量E₁₁/GPa	114.8
横向弹性模量E₂₂，E₃₃/GPa	11.7
剪切模量G₁₂/GPa	9.66
泊松比μ₁₂	0.21
纵向临界能量释放率G_f/（N·mm^-1）	106.3
横向法向临界能量释放率 $G m Ⅰ$ /（N·mm^-1）	0.277 4
横向剪切能量释放率G_mⅡ/（N·mm^-1）	0.787 9

Table 1

Fig.8

Table 2

Fig.9

Fig.10

Fig.11

Fig.12

Table 3

Fig.13

Fig.14

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属性	数值
纵向弹性模量E₁₁/GPa	125
横向弹性模量E₂₂，E₃₃/GPa	8.16
剪切模量G₁₂/GPa	4.16
泊松比μ₁₂	0.3
纤维拉伸强度S_f/GPa	2.1
基体拉伸强度S_mⅠ/GPa	0.069
基体剪切强度S_mⅡ/GPa	0.136

Failure behavior analysis of variable-stiffness composite open-hole plates based on an anisotropic phase-field model

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Figures/Tables 17

References 43

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纤维方向/（°）	0	30	45	60	90
试验^［43］	0	30	45	60	90
XFEM^［43］	0	29	43	57	83
单相场模型M_Z^［13］	-	29	43.6	57.5	87
单相场模型M_Y^［14］	0	30	45	60	90
多相场模型^［34］	0	30	45	60	90
本文模型	0	30	45	60	90

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