# Nanoindentation stress-strain for Fracture Analysis and computational   modeling for hardness and modulus

**Authors:** A.S.Bhattacharyya, S Priyadarshi, S. Sonu, S. Shivam, S. Anshu

arXiv: 1704.04525 · 2018-03-26

## TL;DR

This paper investigates nanoindentation stress-strain behavior to analyze fracture phenomena, introduces a new shape factor approach for crack analysis, and models hardness and modulus responses through polynomial fitting.

## Contribution

It presents a novel shape factor method for fracture analysis and explores polynomial fitting of hardness and modulus in nanoindentation studies.

## Key findings

- Transition from ductile to brittle fracture with increased load
- Shape factors effectively characterize crack branching and micro-cracking
- Polynomial coefficients modulate hardness and modulus responses

## Abstract

Stress-strain plots based on nanoindentation load-depth curves reflected cracking phenomenon. A transition from ductile to brittle fracture was observed on increasing the depth or load of indenter penetration. A new approach with shape factors in the fracture studies based on radial crack branching and micro-cracking was done. Hardness and modulus plots were fitted with polynomials. The coefficients were varied to obtain different hardness and modulus responses.

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Source: https://tomesphere.com/paper/1704.04525