Closed-form functions of cross-scale indentation scaling relationships based on a strain gradient plasticity theory. Issue 11 (3rd June 2021)

• Record Type: Journal Article
• Authors: Yu, Zhijie; Lin, Zhongya; Wei, Yueguang
• Is Part Of: Philosophical magazine. Volume 101:Issue 11(2021)
• Page Start: 1305
• Page End: 1326
• Publication Date: 2021-06-03
• Subjects: Scaling relationships -- material size-effect -- strain gradient plasticity -- conical indentation; Condensed matter -- Periodicals; Physics -- Periodicals; Matière condensée -- Périodiques; Physique -- Périodiques; 530.41
• DOI: 10.1080/14786435.2021.1897896
• Languages: English
• ISSNs: 1478-6435

Abstract

ABSTRACT: Indentation scaling relationships intend to guide indentation experiments and help understand the indentation hardness. In the present study, dimensionless functions were obtained by fitting a series of numerical results of the cross-scale indentation tests based on a strain gradient plasticity theory. The closed-form indentation scaling relationships were found between dimensionless material properties and indentation responses, which were non-dimensionalised by a representative stress. The closed-form expressions were of high accuracy with both the numerical results and the experimental data. Forward and reverse analysis were then established and discussed, providing the indentation scaling relationships a quantitative result. The explicit definition of the representative stresses made it possible to obtain the specific relationship between indentation responses and each material parameter. Together with some pre-determined material parameters, the material intrinsic length was able to be derived from the indentation tests. The present work significantly enhanced the value of the cross-scale indentation scaling relationships, providing great convenience in guiding instrumented tests.