Abstract
An earlier optimisation approach proposed by Luo et al. [Luo, J., Lin, J., Dean, T. A., 2006. A Study on the Determination of Mechanical Properties of a power-law Material by Its Indentation Force-Depth Curve. Philosophical Magazine, 86(19), 2881-2905], which is based on the assumption that the instrumented indentation force-depth response of an elastic-plastic material is a linear combination of the corresponding elastic and elastic-perfect plastic materials, is extended in this work to extract mechanical properties of a power-law material from two given experimental indentation P-h curves for conical indenters of half included angles of 60° and 70.3°. It was found that the non-uniqueness problem encountered in the single P-h curve optimisation approach is effectively removed by the two P-h curves optimisation. The appropriateness of the use of second half included angle of 60° is discussed. For the five representative materials Al, Ti, Fe, Ni and steel, it was found that the maximum relative prediction errors for E, σy and n are 2%, 10.4% and 11.3%, respectively. The prediction accuracy of mechanical properties E, σy and n is generally better than other methods reported in the literature.
Original language | English |
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Pages (from-to) | 5803-5817 |
Number of pages | 15 |
Journal | International Journal of Solids and Structures |
Volume | 44 |
Issue number | 18-19 |
DOIs | |
Publication status | Published - Sept 2007 |
Externally published | Yes |
Keywords
- Finite element simulation
- Instrumented indentation
- Mechanical properties
- Metals
- Optimisation
- Strain hardening
ASJC Scopus subject areas
- Modelling and Simulation
- General Materials Science
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering
- Applied Mathematics