Mathematical Analysis on the Uniqueness of Reverse Algorithm for Measuring Elastic-plastic Properties by Sharp Indentation
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 e...
| Main Authors: | , , , , |
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| Format: | Journal Article |
| Published: |
elsevier
2011
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| Online Access: | http://hdl.handle.net/20.500.11937/20037 |
| _version_ | 1848750197758230528 |
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| author | Huang, Y. Liu, X. Zhou, Y. Ma, Z. Lu, Chungsheng |
| author_facet | Huang, Y. Liu, X. Zhou, Y. Ma, Z. Lu, Chungsheng |
| author_sort | Huang, Y. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | 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≤26and 0.3<n≤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≤n<0.1. 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 Π22 has been made. |
| first_indexed | 2025-11-14T07:33:00Z |
| format | Journal Article |
| id | curtin-20.500.11937-20037 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:33:00Z |
| publishDate | 2011 |
| publisher | elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-200372017-01-30T12:16:59Z Mathematical Analysis on the Uniqueness of Reverse Algorithm for Measuring Elastic-plastic Properties by Sharp Indentation Huang, Y. Liu, X. Zhou, Y. Ma, Z. Lu, Chungsheng Sensitivity Uniqueness Sharp indentation Elastic-plastic properties Reverse algorithm 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≤26and 0.3<n≤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≤n<0.1. 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 Π22 has been made. 2011 Journal Article http://hdl.handle.net/20.500.11937/20037 elsevier fulltext |
| spellingShingle | Sensitivity Uniqueness Sharp indentation Elastic-plastic properties Reverse algorithm Huang, Y. Liu, X. Zhou, Y. Ma, Z. Lu, Chungsheng Mathematical Analysis on the Uniqueness of Reverse Algorithm for Measuring Elastic-plastic Properties by Sharp Indentation |
| title | Mathematical Analysis on the Uniqueness of Reverse Algorithm for Measuring Elastic-plastic Properties by Sharp Indentation |
| title_full | Mathematical Analysis on the Uniqueness of Reverse Algorithm for Measuring Elastic-plastic Properties by Sharp Indentation |
| title_fullStr | Mathematical Analysis on the Uniqueness of Reverse Algorithm for Measuring Elastic-plastic Properties by Sharp Indentation |
| title_full_unstemmed | Mathematical Analysis on the Uniqueness of Reverse Algorithm for Measuring Elastic-plastic Properties by Sharp Indentation |
| title_short | Mathematical Analysis on the Uniqueness of Reverse Algorithm for Measuring Elastic-plastic Properties by Sharp Indentation |
| title_sort | mathematical analysis on the uniqueness of reverse algorithm for measuring elastic-plastic properties by sharp indentation |
| topic | Sensitivity Uniqueness Sharp indentation Elastic-plastic properties Reverse algorithm |
| url | http://hdl.handle.net/20.500.11937/20037 |