张思宇, 蔡力勋, 司淑倩, 陈辉, 刘晓坤. 弹塑性比例叠加的锥压入半解析模型与试验方法[J]. 工程力学, 2023, 40(2): 232-246. DOI: 10.6052/j.issn.1000-4750.2021.09.0684
引用本文: 张思宇, 蔡力勋, 司淑倩, 陈辉, 刘晓坤. 弹塑性比例叠加的锥压入半解析模型与试验方法[J]. 工程力学, 2023, 40(2): 232-246. DOI: 10.6052/j.issn.1000-4750.2021.09.0684
ZHANG Si-yu, CAI Li-xun, SI Shu-qian, CHEN Hui, LIU Xiao-kun. SEMI-ANALYTICAL MODEL AND TEST METHOD OF CONE INDENTATION BASED ON ELASTOPLASTIC PROPORTIONAL SUPERPOSITION[J]. Engineering Mechanics, 2023, 40(2): 232-246. DOI: 10.6052/j.issn.1000-4750.2021.09.0684
Citation: ZHANG Si-yu, CAI Li-xun, SI Shu-qian, CHEN Hui, LIU Xiao-kun. SEMI-ANALYTICAL MODEL AND TEST METHOD OF CONE INDENTATION BASED ON ELASTOPLASTIC PROPORTIONAL SUPERPOSITION[J]. Engineering Mechanics, 2023, 40(2): 232-246. DOI: 10.6052/j.issn.1000-4750.2021.09.0684

弹塑性比例叠加的锥压入半解析模型与试验方法

SEMI-ANALYTICAL MODEL AND TEST METHOD OF CONE INDENTATION BASED ON ELASTOPLASTIC PROPORTIONAL SUPERPOSITION

  • 摘要: 基于能量密度等效,考虑圆锥压入(锥压入)过程中线性律纯弹性和幂律纯塑性的应变能比例叠加,提出了弹塑性应变能比例叠加的锥压入载荷-位移模型(Load vs. Displacement Model based on Proportional Superposition of elastoplastic-energy under conical indenting,LDM-PS),进而提出了获取材料Ramberg-Osgood律(R-O律)应力-应变关系的锥压入试验方法。针对80种设定材料,通过LDM-PS预测的载荷-位移曲线(正向预测)与有限元分析结果密切吻合,并且以有限元分析(Finite Element Analysis,FEA)所得载荷-位移曲线作为试验模拟曲线,采用两种锥角圆锥压头分别对平滑材料表面进行两次单锥压入加载(双锥压入),可通过对双锥压入的两个载荷-位移曲线的加载阶段按抛物律(Kick律)回归可实现R-O律参数的求解。由LDM-PS预测的R-O律应力-应变关系曲线(反向预测)与FEA的条件关系曲线密切吻合;针对8种金属材料完成了双锥压入试验,通过锥压入试验新方法预测的应力-应变关系、弹性模量和强度与传统单轴拉伸试验结果吻合良好。

     

    Abstract: A load vs. displacement model LDM-PS is proposed, and a conical indentation test method for obtaining the stress-strain relationship of the material under the Ramberg-Osgood law (R-O law) is proposed by the grounds of energy density equivalence, considering the proportional superposition of strain energy between linear law pure elasticity and power law pure plasticity in conical indentation. For 80 set materials, the load-displacement curve (forward prediction) predicted by LDM-PS is in a close agreement with the results of Finite Element Analysis (FEA), and the load-displacement curve obtained by FEA is taken as the experimental simulation curve. Two kinds of cone angle conical indenters are used to carry out single conical indentation (double conical indentation) twice on the surface of smooth material, and the R-O law parameters can be solved by parabolic law regression of the two loading vs. displacement curves of double conical indentation at the loading stage. The stress vs. strain curve of R-O law predicted by LDM-PS (inverse prediction) is in a close agreement with the condition curve of FEA. The stress vs. strain relationship, Young's modulus and strength predicted by the new method are in a good agreement with the results of the traditional uniaxial tensile test.

     

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