考虑率效应的Ladeveze本构模型在复合材料损伤失效中的研究

黄宗峥; 米栋; 欧阳志高; 贺象; 黄兴; 周威; 蒋蓝蓝; 郭早阳; 马良颖

doi:10.21656/1000-0887.440358

考虑率效应的Ladeveze本构模型在复合材料损伤失效中的研究

doi: 10.21656/1000-0887.440358

1.
中国航发湖南动力机械研究所，湖南株洲 412002
2.
哈尔滨工业大学(深圳) 理学院，广东深圳 518055

基金项目:

国家自然科学基金 12372068

详细信息

作者简介:
黄宗峥(1988—)，男，工程师，硕士(E-mail: 497168872@qq.com)

通讯作者:
蒋蓝蓝(1997—)，女，博士生(通讯作者. E-mail: jiang_llan@163.com)

中图分类号: O232
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- 被引次数: 0
出版历程
- 收稿日期: 2023-12-18
- 修回日期: 2024-03-13
- 刊出日期: 2024-07-01

Application of the Rate-Dependent Ladeveze Model in Failure Analysis of Composites

1.
AECC Hunan Aviation Powerplant Research Institute, Zhuzhou, Hunan 412002, P.R.China
2.
School of Science, Harbin Institute of Technology, Shenzhen, Shenzhen, Guangzhou 518055, P.R.China

摘要

摘要: 为研究单向纤维增强复合材料在单轴载荷作用下的承载特性与失效模式差异，对复合材料单向板承载时的塑性累积与损伤演化等力学响应进行了有限元预测. 首先，引入基于2D连续介质损伤理论的Ladeveze本构模型，并将其看作平面应力问题. 考虑材料塑性行为的影响，并假定塑性强化为各向同性强化，利用FORTRAN编程语言对LS-DYNA进行二次开发，编写了基于Ladeveze损伤本构模型的用户材料子程序. 利用LS-DYNA建立复合材料单向板的有限元仿真模型，研究了其在承受纵向拉伸、纵向压缩、横向拉伸，面内剪切等载荷下的典型失效行为，并与试验结果进行了对比，然后对所编写子程序的有效性进行了验证. 最后，引入对数型率相关修正函数，对复合材料承受不同应变率载荷下的破坏行为进行了预测，研究了单向纤维增强复合材料率效应敏感度与承载组分之间的关系.
- Ladeveze本构模型 /
- 损伤演化 /
- 率效应 /
- 塑性
Abstract: To investigate the load-bearing capacity and failure modes of unidirectional fiber-reinforced laminates subjected to uniaxial loads, finite element analyses were conducted to predict mechanical responses such as plastic accumulation and damage evolution. The Ladeveze constitutive model based on the 2D continuum damage theory was introduced and a user material subroutine was developed based on this model to consider the plastic behavior of the composites, where the isotropic plastic strengthening was assumed. Subsequently, a LS-DYNA finite element simulation model for unidirectional laminate plates was established to explore typical failure behaviors under loading conditions of longitudinal tension, longitudinal compression, transverse tension, and in-plane shear, respectively. A comparative analysis with experimental results was carried out to validate the efficacy of the developed subroutine. Finally, a logarithmic rate-dependent correction function was introduced to predict the damage modes of composite materials under various strain rate loads. The sensitivity of the rate effect in unidirectional fiber-reinforced laminates and its correlation with load-bearing components were investigated.
- Ladeveze constitutive model /
- damage evolution /
- rate effect /
- plasticity
other
(Recommended by LIANG Xudong, M.AMM Youth Editorial Board)
注释:

1) (我刊青年编委梁旭东推荐)

HTML全文

图 1 用户子程序设计思路流程图

Figure 1. The user subroutine design idea flowchart

下载: 全尺寸图片幻灯片

图 2 复合材料单胞模型工况示意图

Figure 2. Schematic diagram of the single cell model for the composite materials

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图 3 单元力学响应及损伤演化结果

Figure 3. Mechanical responses and damage evolution results of the cell

下载: 全尺寸图片幻灯片

图 4 面内剪切循环加载应力-应变规律

Figure 4. The stress-strain law under the in-plane shear cyclic loading

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图 5 子程序计算结果验证

Figure 5. Subroutine calculation results verification

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图 6 不同加载速率下计算结果

注为了解释图中的颜色，读者可以参考本文的电子网页版本.

Figure 6. Numerical results under different loading rates

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表 1 复合材料Ladeveze本构参数^[21]

Table 1. Ladeveze constitutive parameters of the composite^[21]

parameter	value
longitudinal tensile elastic modulus E₁^t/MPa	139 000
transverse elastic modulus E₂/MPa	10 900
shear elastic modulus G₁₂/MPa	6 000
longitudinal compressive elastic modulus E₁^c/MPa	139 000
Poisson’s ratio ν₁₂	0.32
reduction coefficient of longitudinal compressive elastic modulus γ	1×10^-5
initial value of debonding damage between fiber and matrix Y₀/MPa	0.048
debonding damage limit between fiber and matrix Y^R/MPa	3.10
debonding damage evolution parameter between fiber and matrix Y_c/MPa	1.745
initial value of transverse microcrack damage Y′₀/MPa	0.07
damage limit value of transverse microcrack Y′_S/MPa	2.75
damage evolution parameter of transverse microcrack Y′_c/MPa	0.565
coupling strength of transverse tensile and shear b	0.53
initial strain of tensile damage in the fiber direction ε_i^ft	0.014 8
tensile damage limit strain in the fiber direction ε_u^ft	0.014 9
tensile limit damage value in the fiber direction d_u^ft	0.99
initial strain of compression damage in the fiber direction ε_i^fc	0.008
compressive damage limit strain in the fiber direction ε_u^fc	0.008 5
compressive ultimate damage value in the fiber direction d_u^fc	0.99
initial yield stress R₀/MPa	21.59
hardening coefficient β	558
cementation index m	0.54
shear and transverse plastic strain coupling factor a	0.38

下载: 导出CSV

表 2 复合材料Ladeveze本构率相关部分参数^[23]

Table 2. Parameters related to Ladeveze constitutive rates of composite materials^[23]

parameter	notation	value
longitudinal elastic modulus rate related parameters	$ \dot{\varepsilon}_{11}^{\text {ref }} / \mathrm{s}^{-1}$	3×10^－4
	D₁₁	0.025 6
	n₁₁	-0.322 5
longitudinal failure strain rate related parameters	$ \dot{\varepsilon}_{11}^{\text {ref }} / \mathrm{s}^{-1}$	3×10^－4
	D^u₁₁	-0.018
	n^u₁₁	0.338 5
transverse elastic modulus rate related parameters	$ \dot{\varepsilon}_{22}^{\text {ref }} / \mathrm{s}^{-1}$	3×10^－4
	D₂₂	0.072 7
	n₂₂	-0.922 89
shear modulus rate related parameters	$ \dot{\varepsilon}_{12}^{\text {ref }} / \mathrm{s}^{-1}$	3×10^－4
	D₁₂	0.032 9
	n₁₂	-0.420 8
yield stress rate related parameters	$ \dot{\varepsilon}_{0}^{\text {ref }} / \mathrm{s}^{-1}$	3×10^－4
	D_R0	0.861 5
	n_R0	-1.872 1

下载: 导出CSV

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