IMPACT OF HARDENING ON PLASTICITY AREA AT THE SLIGHTLY CURVED ELASTICITY-PLASTICITY CRACK TIP UNDER QUASI-STATIC LOADS

YANG DaPeng; WANG JianXun; ZHAO Yao

doi:10.16579/j.issn.1001.9669.2015.03.004

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IMPACT OF HARDENING ON PLASTICITY AREA AT THE SLIGHTLY CURVED ELASTICITY-PLASTICITY CRACK TIP UNDER QUASI-STATIC LOADS

更新时间：2022-09-22

- IMPACT OF HARDENING ON PLASTICITY AREA AT THE SLIGHTLY CURVED ELASTICITY-PLASTICITY CRACK TIP UNDER QUASI-STATIC LOADS
- Journal of Mechanical Strength Vol. 37, Issue 3, Pages: 556-561(2015)
- 作者机构：
  
  1. 郑州职业技术学院机械工程系
  2. 华中科技大学船舶与海洋工程学院
- 作者简介：
- 基金信息：
- DOI：10.16579/j.issn.1001.9669.2015.03.004
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YANG DaPeng, WANG JianXun, ZHAO Yao. IMPACT OF HARDENING ON PLASTICITY AREA AT THE SLIGHTLY CURVED ELASTICITY-PLASTICITY CRACK TIP UNDER QUASI-STATIC LOADS. [J]. 37(3):556-561(2015)
DOI：

YANG DaPeng, WANG JianXun, ZHAO Yao. IMPACT OF HARDENING ON PLASTICITY AREA AT THE SLIGHTLY CURVED ELASTICITY-PLASTICITY CRACK TIP UNDER QUASI-STATIC LOADS. [J]. 37(3):556-561(2015) DOI： 10.16579/j.issn.1001.9669.2015.03.004.

摘要

主要研究准静载荷作用下的硬化材料弹塑性弯曲裂纹尖端的塑性区问题。综合考虑了准静作用应力,塑性区域边界上正应力与剪应力,利用二阶摄动方法计算了硬化材料弹塑性弯曲裂纹尖端的塑性区。用数值解法计算出弹塑性弯曲裂纹尖端硬化塑性区于裂纹直线部分延长线上的投影长度,作图分析了弹塑性弯曲裂纹尖端塑性区尺寸与材料硬化指数之间的变化关系。在幂硬化材料中,弹塑性弯曲裂纹尖端塑性区随着材料硬化指数n的增大而减少,当n等速均匀增加时,弹塑性弯曲裂纹尖端塑性区尺寸加速减少,减少的幅度越来越大。当材料的硬化指数相同时,弯曲裂纹尖端塑性区尺寸随外载荷的不断减小而逐渐减小。建立了一个计算硬化材料弹塑性弯曲裂纹塑性区尺寸的崭新理论模型。

Abstract

In this article,elastic-plastic curved crack tip plasticity area in hardened material under quasi-static loads has been mainly studied,and curved crack tip plasticity area has been calculated as a practical application of a second order perturbation method, where the effects of quasi-static applied stresses and quasi-static normal and shear stresses on the boundaries of plasticity area are synthetically taken into considerations. Projected length of elastic-plastic curved crack tip hardened plasticity area on straight crack extension line portion has been calculated by numerical solutions,diagrams have been constructed to analyse the transformation relationships between curved crack tip plasticity area size and hardening exponents.Curved crack tip plasticity area size will decrease when hardening exponents increase in hardened material. The decrease extent of curved crack tip plasticity area size will be more and more severe when hardening exponents increase evenly. Curved crack tip plasticity area size will decrease when external loads decrease with the same hardening exponents. A new theoretical model where curved crack tip plasticity area size was calculated has been established in hardened material.

关键词

幂硬化材料弯曲裂纹塑性区准静作用应力二阶摄动方法

Keywords

Hardened materialCurved crackPlasticity areaQuasi-static applied stressesA second order perturbation solution

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