# Continuum damage modeling and progressive failure analysis of a Type III composite vessel by considering the effect of autofrettage

• Bin-bin Liao
• Dong-liang Wang
• Li-yong Jia
• Jin-yang Zheng
• Chao-hua Gu
Article

## Abstract

This paper aims to study the damage mechanisms and mechanical responses of a Type III composite vessel by considering the effect of autofrettage. Firstly, damage models using Hashin failure criteria and 3D strain-based damage evolution laws for composite layers are implemented by implicit finite element codes using ABAQUS-UMAT (user material subroutine module). Secondly, the appropriate autofrettage pressure is determined by finite element analysis (FEA), in which the fiber stress ratio and the generated residual stress in the aluminium liner are investigated according to the related regulations. Finally, the effects of the autofrettage process on the internal pressure-displacement curves and damage evolution behaviors for matrix and fiber are discussed. For a composite vessel after autofrettage, the stresses in the composite layers and aluminium liner are also explored. Results show that the progressive damage evolution behaviors of the composite vessel with autofrettage and without autofrettage are basically consistent except there is some difference during the unloading process and the repressurization process in respect of matrix damage.

## Key words

Composite vessel Damage evolution behaviors Hashin failure criteria Finite element analysis (FEA)

# 考虑自增强影响的III 型复合材料气瓶连续损伤 模拟及渐进失效分析

## 中文概要

### 创新点

1. 建立针对三维气瓶的Hashin 失效准则和指数 型损伤演化的渐进失效模型, 并通过ABAQUSUMAT 隐式有限元方法确定气瓶最佳自紧压力; 2. 通过渐进失效分析, 揭示自紧后的气瓶纤维和 基体损伤的损伤演化规律, 并阐明自紧对气瓶渐 进失效的影响。

### 方法

1. 基于连续损伤力学, 建立三维Hashin 失效准 则和指数型损伤演化的渐进失效理论模型;2. 通 过ABAUQS-UMAT 二次开发用户子程序实现渐 进失效理论模型, 并开展气瓶渐进失效计算; 3. 通过平板拉伸算例以及与气瓶试验数据对比, 验证模型的准确性。

### 结论

1. 基体损伤首先出现在螺旋层, 而纤维损伤首先 出现在环向层。2. 除了自紧后的泄压阶段和自紧 后重新加压至压力值等于自紧压力的升压阶段, 有无自紧的气瓶损伤演化规律基本一致;而在上 述泄压和升压阶段, 基体损伤保持不变, 说明经 过自紧后的气瓶在工作压力下存在基体损伤。 3. 当内压压力低于自紧压力时, 自紧工艺才会影 响气瓶应力分布;且随着压力的升高, 基体损伤 不变, 内衬应力减少, 纤维应力增加;此外, 经 过自紧的气瓶在工作压力下最大环向和轴向内 衬应力减少且出现在筒体部分的两端。

TH49

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