Micro-indentation tests at scales on the order of sub-micron have shown that the measured hardness increases strongly with the indent depth or indent size decreasing, which is frequently referred to as the size effect...Micro-indentation tests at scales on the order of sub-micron have shown that the measured hardness increases strongly with the indent depth or indent size decreasing, which is frequently referred to as the size effect. However, the trend is at odds with the size-independence implied by conventional elastic-plastic theory. In this paper, strain gradient plasticity theory is used to model the size effect for materials undergoing the micro-indenting. Meanwhile, the micro-indentation experiments for single crystal copper and single crystal aluminum are carried out. By the comparison of the theoretical predictions with experimental measurements, the micro-scale parameter of strain gradient plasticity theory is predicted, which is fallen into the region of 0.8—1.5 micron for the conventional metals such as copper (Cu), aluminum (Al) and silver (Ag). Moreover, the phenomena of the pile-up and sink-in near micro-indent boundary are investigated and analyzed in detail.展开更多
针对超弹性材料压入问题,本文基于能量密度中值等效原理,提出了描述球、平面、锥3类压头独立压入下载荷、深度、压头几何尺寸和Mooney-Rivlin本构关系参数之间关系的半解析超弹性压入模型(semi-theoretical hyperelastic-material inden...针对超弹性材料压入问题,本文基于能量密度中值等效原理,提出了描述球、平面、锥3类压头独立压入下载荷、深度、压头几何尺寸和Mooney-Rivlin本构关系参数之间关系的半解析超弹性压入模型(semi-theoretical hyperelastic-material indentation model,SHIM),进而提出了球、平面、锥压入组合的双压试验方法(indentation method due to dual indenters,IMDI).正向验证表明,基于系列超弹性材料的本构关系参数,由SHIM分别预测的球、平面、锥3类压入下的载荷-位移曲线与有限元分析(finite element analysis,FEA)结果之间密切吻合;反向验证表明,基于系列超弹性材料的FEA条件本构关系下3类压入的载荷-位移曲线,由双压试验方法预测的Mooney-Rivlin本构关系与FEA条件本构关系密切吻合.针对3种超弹性橡胶,完成了球、平面、锥压入试验,应用双压试验方法获得的3组Mooney-Rivlin本构关系均与单轴拉伸试验结果吻合良好.展开更多
Rock macro-indentation plays a fundamental role in mechanical rock breaking for various rock engineering application,such as drilling,tunneling,cutting,and sawing.Over the past decades,extensive research has been cond...Rock macro-indentation plays a fundamental role in mechanical rock breaking for various rock engineering application,such as drilling,tunneling,cutting,and sawing.Over the past decades,extensive research has been conducted to understand the indentation mechanisms and responses through various approaches.This review aims to provide an overview of the current status and recent advancements in theories,experiments,numerical simulations,and applications of macro-indentation in rock engineering.It starts with elaborating on the mechanisms of macro-indentation,followed by a discussion of the merits and limitations of commonly used models.Influence factors and their effects on indentation test results are then summarized.Various numerical simulation methods for rock macro-indentation are highlighted,along with their advantages and disadvantages.Subsequently,the applications of indentation tests and indentation indices in characterizing rock properties are explored.It reveals that compression-tension,compression-shear,and composite models are widely employed in rock macroindentation.While the compression-tension model is straightforward to use,it may overlook the anisotropic properties of rocks.On the other hand,the composite model provides a more comprehensive description of rock indentation but requires complex calculations.Additionally,factors,such as indentation rate,indenter geometry,rock type,specimen size,and confining pressure,can significantly influence the indentation results.Simulation methods for macro-indentation encompass continuous medium,discontinuous medium,and continuous-discontinuous medium methods,with selection based on their differences in principle.Furthermore,rock macro-indentation can be practically applied to mining engineering,tunneling engineering,and petroleum drilling engineering.Indentation indices serve as valuable tools for characterizing rock strength,brittleness,and drillability.This review sheds light on the development of rock macro-indentation and its extensive application in enginee展开更多
通过压入测试以获取工程服役结构、小型构件和焊接结构焊缝过渡区的材料单轴本构关系参数,且根据材料本构关系参数来估算材料的压入硬度对于工程设计和安全评估有重要意义。对于幂律材料,本文依据锥形压入试验原理和弹塑性接触有限元分...通过压入测试以获取工程服役结构、小型构件和焊接结构焊缝过渡区的材料单轴本构关系参数,且根据材料本构关系参数来估算材料的压入硬度对于工程设计和安全评估有重要意义。对于幂律材料,本文依据锥形压入试验原理和弹塑性接触有限元分析(EPFEA),揭示了不同锥角的锥形压头其压入能量比与屈服应力之间存在线性关系,提出了基于能量原理预测金属材料本构关系部分关键参数(弹性模量、屈服应力和硬化指数)的CR-EMI(Constitutive Rela-tionship based on Energy Method of Indentation)方法。同时,基于此种线性关系提出了由Hollomon本构关系模型参数预测硬度的H-EMI(Hardness based on Energy Method of Indentation)方法。通过对多种金属材料进行压入试验和有限元分析,验证了CR-EMI方法和H-EMI方法的有效性与精确性。展开更多
基金This work was supported by the National Natural Science Foundation of China (Grant Nos. 19891180 and19925211) jointly supported by the Fundamental Research Project from the Chinese Academy of Sciences (Grant No. KJ95-1-201).
文摘Micro-indentation tests at scales on the order of sub-micron have shown that the measured hardness increases strongly with the indent depth or indent size decreasing, which is frequently referred to as the size effect. However, the trend is at odds with the size-independence implied by conventional elastic-plastic theory. In this paper, strain gradient plasticity theory is used to model the size effect for materials undergoing the micro-indenting. Meanwhile, the micro-indentation experiments for single crystal copper and single crystal aluminum are carried out. By the comparison of the theoretical predictions with experimental measurements, the micro-scale parameter of strain gradient plasticity theory is predicted, which is fallen into the region of 0.8—1.5 micron for the conventional metals such as copper (Cu), aluminum (Al) and silver (Ag). Moreover, the phenomena of the pile-up and sink-in near micro-indent boundary are investigated and analyzed in detail.
文摘针对超弹性材料压入问题,本文基于能量密度中值等效原理,提出了描述球、平面、锥3类压头独立压入下载荷、深度、压头几何尺寸和Mooney-Rivlin本构关系参数之间关系的半解析超弹性压入模型(semi-theoretical hyperelastic-material indentation model,SHIM),进而提出了球、平面、锥压入组合的双压试验方法(indentation method due to dual indenters,IMDI).正向验证表明,基于系列超弹性材料的本构关系参数,由SHIM分别预测的球、平面、锥3类压入下的载荷-位移曲线与有限元分析(finite element analysis,FEA)结果之间密切吻合;反向验证表明,基于系列超弹性材料的FEA条件本构关系下3类压入的载荷-位移曲线,由双压试验方法预测的Mooney-Rivlin本构关系与FEA条件本构关系密切吻合.针对3种超弹性橡胶,完成了球、平面、锥压入试验,应用双压试验方法获得的3组Mooney-Rivlin本构关系均与单轴拉伸试验结果吻合良好.
基金the Yunlong Lake Laboratory of Deep Underground Science and Engineering(Grant No.104023005)the National Natural Science Foundation of China(Grant No.52308403)China Postdoctoral Science Foundation(Grant No.2023M731998)for funding provided to this work.
文摘Rock macro-indentation plays a fundamental role in mechanical rock breaking for various rock engineering application,such as drilling,tunneling,cutting,and sawing.Over the past decades,extensive research has been conducted to understand the indentation mechanisms and responses through various approaches.This review aims to provide an overview of the current status and recent advancements in theories,experiments,numerical simulations,and applications of macro-indentation in rock engineering.It starts with elaborating on the mechanisms of macro-indentation,followed by a discussion of the merits and limitations of commonly used models.Influence factors and their effects on indentation test results are then summarized.Various numerical simulation methods for rock macro-indentation are highlighted,along with their advantages and disadvantages.Subsequently,the applications of indentation tests and indentation indices in characterizing rock properties are explored.It reveals that compression-tension,compression-shear,and composite models are widely employed in rock macroindentation.While the compression-tension model is straightforward to use,it may overlook the anisotropic properties of rocks.On the other hand,the composite model provides a more comprehensive description of rock indentation but requires complex calculations.Additionally,factors,such as indentation rate,indenter geometry,rock type,specimen size,and confining pressure,can significantly influence the indentation results.Simulation methods for macro-indentation encompass continuous medium,discontinuous medium,and continuous-discontinuous medium methods,with selection based on their differences in principle.Furthermore,rock macro-indentation can be practically applied to mining engineering,tunneling engineering,and petroleum drilling engineering.Indentation indices serve as valuable tools for characterizing rock strength,brittleness,and drillability.This review sheds light on the development of rock macro-indentation and its extensive application in enginee
文摘通过压入测试以获取工程服役结构、小型构件和焊接结构焊缝过渡区的材料单轴本构关系参数,且根据材料本构关系参数来估算材料的压入硬度对于工程设计和安全评估有重要意义。对于幂律材料,本文依据锥形压入试验原理和弹塑性接触有限元分析(EPFEA),揭示了不同锥角的锥形压头其压入能量比与屈服应力之间存在线性关系,提出了基于能量原理预测金属材料本构关系部分关键参数(弹性模量、屈服应力和硬化指数)的CR-EMI(Constitutive Rela-tionship based on Energy Method of Indentation)方法。同时,基于此种线性关系提出了由Hollomon本构关系模型参数预测硬度的H-EMI(Hardness based on Energy Method of Indentation)方法。通过对多种金属材料进行压入试验和有限元分析,验证了CR-EMI方法和H-EMI方法的有效性与精确性。
