• CN:11-2187/TH
  • ISSN:0577-6686

机械工程学报 ›› 2021, Vol. 57 ›› Issue (20): 98-107.doi: 10.3901/JME.2021.20.098

• 材料科学与工程 • 上一篇    下一篇

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GS-20Mn5钢非对称循环应力-应变本构模型及其应用

邹宗园1, 翟东林1, 宋春艳2, 韩舒婷3, 金淼1   

  1. 1. 燕山大学先进锻压成形技术与科学教育部重点实验室 秦皇岛 066004;
    2. 燕山大学工程训练中心 秦皇岛 066004;
    3. 西安摩尔石油工程实验室股份有限公司 西安 710065
  • 收稿日期:2020-04-24 修回日期:2021-06-30 出版日期:2021-10-20 发布日期:2021-12-15
  • 通讯作者: 金淼(通信作者),男,1968年出生,博士,教授,博士研究生导师。主要研究方向为液压机的现代分析设计理论。E-mail:jmiao@ysu.edu.cn
  • 作者简介:邹宗园,女,1986年出生,博士,副教授。主要研究方向为机械结构的安定性分析理论及高性能亚稳金属材料的塑性基础理论。E-mail:zzy@ysu.edu.cn
  • 基金资助:
    国家自然科学基金(51905467)和河北省自然科学基金(E2020203104)资助项目。

Asymmetric Cyclic Stress-strain Constitutive Model of GS-20Mn5 Steel and Its Application

ZOU Zongyuan1, ZHAI Donglin1, SONG Chunyan2, HAN Shuting3, JIN Miao1   

  1. 1. Key Laboratory of Advanced Forging & Stamping Technology and Science of Ministry of Education, Yanshan University, Qinhuangdao 066004;
    2. Engineering Training Center, Yanshan University, Qinhuangdao 066004;
    3. Xi'an Maurer Petroleum Engineering Laboratory Co., Ltd., Xi'an 710065
  • Received:2020-04-24 Revised:2021-06-30 Online:2021-10-20 Published:2021-12-15

摘要: 在实际工程中,机械结构件承受反复载荷时,内部往往是非对称的应力应变状态。在非对称循环加载条件下,材料不仅会表现出循环软/硬化特性,还会表现出平均应力松弛行为。这会影响其在循环稳定状态下的力学性能,进而影响结构在相应工况下承载服役的强度安全性。针对大型压机本体结构常用GS-20Mn5钢进行了单向拉伸及应变比R为0.5,应变幅0.20%、0.25%、0.27%、0.30%和0.40%的非对称应变循环加载试验研究,分别构建了基于单向拉伸试验结果的A-F随动硬化模型,以及基于非对称循环加载的Landgraf模型来描述其平均应力松弛特性,将其应用到Ramberg-Osgood公式中,结合A-F非线性随动硬化模型,建立了非对称循环加载条件下对应于循环应力-应变曲线的本构模型,并确定了相应模型参数。针对承受非对称循环载荷的某大型锻造液压机上横梁,应用所建立的本构模型分别进行了安定性数值分析,评估了其在循环载荷下的弹塑性强度安全性。结果显示,与采用单向拉伸条件下的A-F模型时的计算结果相比,采用非对称循环应力-应变本构模型时上横梁的安定极限载荷提高了约7%。

关键词: 非对称循环加载, 平均应力松弛, 循环软/硬化, 本构模型, 大型压机上横梁

Abstract: In practical engineering application, when mechanical structural parts are subjected to repeated loads, the internal stress and strain in the metal are often asymmetric. Under asymmetric cyclic loading condition, the metal does not only exhibit cyclic soft/hardening characteristics, but also exhibits average stress relaxation phenomenon. This phenomenon affects its mechanical properties in the stable cycle, and then affect the strength and safety of the mechanical structure under corresponding working conditions. For the GS-20Mn5 steel commonly used in the critical structures of heavy presses, monotonic tensile test and asymmetric strain cyclic loading tests with a strain ratio R of 0.5 and strain amplitudes of 0.20%, 0.25%, 0.27%, 0.30% and 0.40% are conducted, and the corresponding hysteresis curves are obtained. For the monotonic tensile condition, A-F kinematic hardening model is established. For the asymmetric cyclic loading, a modified Landgraf model is constructed to describe its average stress relaxation, and it is applied to the Ramberg-Osgood formula, combined with the A-F nonlinear kinematic hardening model, the material constitutive model corresponding to the cyclic stress-strain curve under asymmetric cyclic loading condition is established. Then the constitutive model parameters are determined. For a upper beam of a heavy forging hydraulic press under asymmetric cyclic load, the established constitutive models are used in its numerical shakedown analysis and the upper beam's strength safety under cyclic loading is evaluated. The result show that the shakedown limit load of the upper beam is increased by about 7% by adopting the asymmetric cyclic stress-strain constitutive model compared with adopting the monotonic tensile model.

Key words: asymmetric cyclic loading, mean stress relaxation, cyclic softening/hardening, constitutive model, upper beam of large press

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