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Mathematical Analysis on the Uniqueness of Reverse Algorithm for Measuring elastic-plastic properties by Sharp Indentation

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Journal of Materials Science & Technology 2011年第7期27卷 577-584页

作者： Yongli Huang Xiaofang Liu Yichun Zhou Zengsheng Ma Chunsheng Lu Key Laboratory of Low Dimensional Materials and Application Technology of Ministry of Education and Faculty of Materials Optoelectronics and Physics Xiangtan University Xiangtan 411105 China Department of Mechanical Engineering Curtin University Perth WA 6845 Australia

The reverse analysis provides a convenient method to determine four elastic-plastic parameters through an indentation curve such as Young s modulus E, hardness H, yield strength σy and strain hardening exponent n. In this paper, mathematical analysis on a reverse algorithm from Dao model （Dao et al., Acta Mater., 2001, 49, 3899） was carried out, which thought that only when 20 ≤E＊/σ0.033≤ 26 and 0.3n≤ 0.5, the reverse algorithm would yield two solutions of n by dimensionless function Π2. It is shown that, however, there are also two solutions of n when 20≤E＊/σ0.033≤ 26 and 0≤n0.1. A unique n can be obtained by dimensionless function Π3 instead of Π2 in these two ranges. E and H can be uniquely determined by a full indentation curve, and σy can be determined if n is unique. Furthermore, sensitivity analysis on obtaining n from dimensionless function Π3 or Π2 has been made.

关键词： elastic-plastic properties Sharp indentation Reverse algorithm Uniqueness Sensitivity

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An Inverse Approach for Extracting elastic-plastic properties of Thin Films from Small Scale Sharp Indentation

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Journal of Materials Science & Technology 2012年第7期28卷 626-635页

作者： Z.S. Ma Y.C. Zhou S.G. Long C.S. Lu Key Laboratory of Low Dimensional Materials ~ Application Technology of Ministry of Education Xiangtan Uni-versity Xiangtan 411105 China Faculty of Materials Optoelectronics and Physics Xiangtan University Xiangtan 411105 China Department of Mechanical Engineering Curtin University of Technology Perth WA 6845 Australia

An inverse method for extracting the elastic-plastic properties of metallic thin films from instrumented sharp indentation has been proposed in terms of dimensional analysis and finite element modeling. A wide range of materials with different elastic modulus, yield strength, and strain-hardening exponent were *** to the Nix-Gao model for the depth dependence of hardness H,the relationship between elastic modulus E and indentation depth h can be expressed as By combiningthese two formulas, we find that there is a relationship between yield stress and indentation depth h：where σyO is the yield strength associated with the strain-hardening exponent n, the true hardness Ho and the true elastic modulus *** constant, whichis only related to n, and hH and hE are characteristic lengths for hardness and elastic modulus. The results obtained from inverse analysis show that the elastic-plastic properties of thin films can be uniquely extracted from the solution of this relationship when the indentation size effect has to be taken into account.

关键词： Indentation elastic-plastic properties Metal thin films Inverse analysis

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Cumulation of a spherically converging shock wave in metals and its dependence on elastic-plastic properties, phase transitions, spall and shear fractures

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International Journal of Modeling, Simulation, and Scientific Computing 2015年第1期6卷 26-38页

作者： Evgeny A.Kozlov Alexsander V.Petrovtsev Russian Federal Nuclear Center-Zababakhin Research Institute of Technical Physics Snezhinsk Chelyabinsk RegionRussia

Consideration is given to results of experimental and theoretical investigations how alpha-epsilon phase transition in the unalloyed iron and the 30 KhGSA steel and its absence in the austenitic 12Kh18N10T stainless steel influence processes under explosive deformation of spheres made of these *** transition is shown to significantly effect on:amount of explosion-products energy transferred to a sphere,evolution of the converging-wave structure and its parameters,profiles of stress wave and temperature T(R,t)for some Lagrangian particles along the sphere radius,character of energy cumulation under spherical convergence of waves.

关键词： Cumulation spherically converging shock wave elastic-plastic properties phase transitions spall and shear fractures

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