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Theoretical model and testing method for ball indentation based on the proportional superposition of energy in pure elasticity and pure plasticity

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Chinese Journal of Aeronautics 2022年第2期35卷 141-153页

作者： Shuqian SI Lixun CAI Hui CHEN Chen BAO Xiaokun LIU Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province School of Mechanics and EngineeringSouthwest Jiaotong UniversityChengdu 610031China School of Civil Engineering Changsha University of Science&TechnologyChangsha 410114China

For a homogeneous,continuous,and isotropic material whose constitutive relationships meets with the Ramberg-Osgood law(R-O law),the energy in the elastoplastic indentation with a ball indenter was theoretically analyzed,and the proportional superposition of energy in pure elasticity and pure plasticity during indentation was considered based on the equivalence of energy ***,a Proportional Superposition-based Elasto Plastic Model(PS-EPM)was developed to describe the relationships between the displacement and the load during the ball ***,a new test method of Ball Indentation based on Elastoplastic Proportional Superposition(BI-EPS)was developed to obtain the constitutive relationships of R-O law *** load–displacement curves predicted using the PS-EPM model were found to agree closely with the Finite Element Analysis(FEA)***,the stress *** curves predicted using the BI-EPS method were in better agreement with those obtained by ***,ball indentation was performed on eleven types of metal materials including five types of aluminum alloys and six types of *** test results showed that the stress *** relationships and the tensile strength values predicted using the proposed BI-EPS method agreed well with the results obtained using conventional uniaxial tensile tests.

关键词： Ball indentation Energy density Proportional superposition of elasticity and plasticity stress vs.strain relationships Testing method Theoretical model

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