Membrane stretching based creep damage analytical solutions for thin disc small punch problem

Ragab, Raheeg; Liu, Tao; Li, Ming; Sun, Wei

Abstract

The small punch creep test (SPCT) presents a novel miniaturized testing technique popularly used to characterise creep and damage properties of high-temperature materials. Due to the complex non-linear deformation behaviour in the SPCT, a mechanistic based analytical solution describing creep deformation and damage in the SPCT remains unsolved so far. Instead, simplified empirical relations for the analysis of the SPCTs and data interpretation are often employed. However, such approaches lack theoretical underpinnings and thereby limiting the potential of the SPCT as a standardised material characterisation method. In this study, for the first time, creep damage analytical solutions were proposed to represent the complex deformation mechanism of the thin-disk small punch creep problem. The theoretical framework was established based on the membrane stretching theory and continuum damage mechanics-based constitutive model. The accuracy of the proposed analytical model was verified using finite element analysis. The analytical solutions demonstrated excellent capabilities and advantages over the existing models. Further, the potential applications of the new solutions were addressed. The proposed solutions represent a first key step towards improved theoretical modelling of the SPCT for ductile materials.

Citation

Ragab, R., Liu, T., Li, M., & Sun, W. (2022). Membrane stretching based creep damage analytical solutions for thin disc small punch problem. Journal of the Mechanics and Physics of Solids, 165, Article 104928. https://doi.org/10.1016/j.jmps.2022.104928

• Journal Article Type: Article
• Acceptance Date: May 5, 2022
• Online Publication Date: May 7, 2022
• Publication Date: May 20, 2022
• Deposit Date: May 13, 2022
• Publicly Available Date: May 20, 2022
• Journal: Journal of the Mechanics and Physics of Solids
• Print ISSN: 0022-5096
• Electronic ISSN: 0022-5096
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 165
• Article Number: 104928
• DOI: https://doi.org/10.1016/j.jmps.2022.104928
• Keywords: Mechanical Engineering; Mechanics of Materials; Condensed Matter Physics
• Public URL: https://nottingham-repository.worktribe.com/output/8049765
• Publisher URL: https://www.sciencedirect.com/science/article/pii/S0022509622001260?via%3Dihub