Perhaps unsurprisingly, there are relatively few sources that provide background information regarding something as basic as uniaxial mechanical testing, although there are, of course, plenty of books and websites that cover the fundamentals of stress analysis etc. Among relatively recent books in this area, with an accent on FEM, are the following:
“Practical Stress Analysis with Finite Elements”, Bryan
J. MacDonald, Glasnevin publishing (2007), ISBN:978-0-9555781-0-6.
“Structural and Stress Analysis: Theories, Tutorials and Examples”, Jianqiao Ye, Taylor & Francis (2008), ISBN:0-203-02900-3.
Regarding Indentation Plastometry, which is a very recent development, there are as yet no published books and indeed the software necessary to implement the technology is not yet widely available in user-friendly, commercially mature form. However, there are websites that describe the methodology, where such access is likely to become available in due course. Notable among these is https://www.plastometrex.com/..