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| 多工况变幅疲劳荷载下橡胶裂纹长度的加速算法研究 |
| Research on acceleration algorithm of rubber crack length under multi-condition and amplitude varying fatigue load |
| 投稿时间：2024-12-03 修订日期：2025-01-14 |
| DOI： |
| 中文关键词: 橡胶疲劳，变幅荷载，开裂能密度，多工况，加速算法 |
| 英文关键词:rubber fatigue, variable amplitude load, cracking energy density, multi-loading conditions, acceleration algorithm |
| 基金项目:中国科学院战略性先导科技专项 ( XDC06030200 ） |
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| 摘要点击次数: 2 |
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| 中文摘要: |
| 对于橡胶材料使用开裂能密度法计算多工况变幅疲劳载荷下的裂纹扩展问题，需要计算给定初始裂纹长度与循环周次时的裂纹扩展长度。传统的逐步积分法计算效率过低，需要划分大量增量步才能准确计算数值积分。本文将Miner法则与逐步积分法相结合，提出了一种隐式迭代法。理论分析与实例数值计算均表明，与逐步积分法相比，该方法可有效提高裂纹扩展长度的计算效率。在此基础上进行了多工况变幅疲劳荷载作用下裂纹扩展长度与各工况作用顺序相关性的数值仿真，结果表明各工况的前后作用顺序影响总裂纹扩展长度，这种影响在循环周次较大时尤为明显。 |
| 英文摘要: |
| For the calculation of crack growth under multi-condition variable amplitude fatigue loading using the crack energy density method for rubber materials, it is necessary to calculate the crack growth length at a given initial crack length and cycle number. The traditional stepwise integration method has a very low calculation efficiency and requires a large number of increment steps to accurately calculate the numerical integral. In this paper, a new implicit iterative method is proposed by combining Miner's rule with the stepwise integration method. Both theoretical analysis and numerical examples show that compared with the stepwise integration method, the new method can effectively improve the calculation efficiency of crack growth length. On this basis, numerical simulation of the correlation between crack growth length and the sequence of each condition under multi-condition variable amplitude fatigue loading was carried out. The results show that the sequence of each condition affects the total crack growth length, and it is particularly obvious with a large number of cycles. |
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