Indenter Area Function Calibration via Martens Hardness Normalization

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Solution Overview

Problem

Current methods for calibrating indenter area functions in material testing, such as hardness indentation and scratch testing, are time-consuming and lack accuracy, especially at low loads, due to variations in measurement and the assumption of constant reduced modulus, and there is a lack of precise methods to determine if an indenter has deviated from its ideal shape.

Innovation Solution

A method involving a material testing apparatus with a force transducer and displacement sensor to perform a single or few indentation tests across a range of loads on a standard sample, calculating Martens hardness data, and normalizing it to determine the indenter area function and quantify deviations from the ideal shape, allowing for quick and accurate calibration.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If AFM or indirect calibration techniques are used to obtain the area function of an indenter, then the indenter area function can be measured, but the process is very time consuming and cumbersome, taking multiple hours to perform tests and analyze results

Engineering Contradiction:
Improveindenter area function measurement accuracyVSAvoidcalibration time
Core Design Contradiction:
Measurement precisionVSLoss of time

Solution Approach 1:

The patent applies preliminary action by performing calibration measurements at high loads where the indenter geometry is well-defined and stable, then using these results to establish the area function for the entire load range. This avoids the need to perform time-consuming calibration at every load level, significantly reducing total calibration time while maintaining accuracy.

Inventive Principle:
Principle #10Preliminary action

Solution Approach 2:

The patent uses a reference indenter with known, ideal geometry as a copy or template. By measuring the reference indenter's area function and comparing it with the test indenter's measurements, the patent can quickly determine deviations without requiring complex direct measurements of the test indenter across all load levels.

Inventive Principle:
Principle #26Copying

2Measurement precision

If indirect calibration method is used with numerous independent depth versus load indentations, then the area function can be ascertained, but the method lacks accuracy at extremely low loads due to slight variations between measurements caused by drift or inaccurate contact points

Engineering Contradiction:
Improvearea function accuracyVSAvoidcalibration duration
Core Design Contradiction:
Measurement precisionVSLoss of time

Solution Approach 1:

The patent performs preliminary calibration at high loads where measurement stability is achieved, establishing reliable area function data before attempting low-load measurements. This preliminary establishment of calibration standards eliminates the need for numerous repeated low-load tests that are prone to drift and contact point variations.

Inventive Principle:
Principle #10Preliminary action

Solution Approach 2:

The patent incorporates feedback by continuously comparing measured indenter area functions against the reference indenter's known geometry throughout the calibration process. This feedback mechanism allows for real-time correction of measurement deviations and identification of drift, improving accuracy without requiring excessive measurement repetitions.

Inventive Principle:
Principle #23Feedback

3Measurement precision

If multiple separated indents are performed for calibration, then the area function can be measured, but additional errors are introduced due to variations in contact point and measurement changes during testing

Engineering Contradiction:
Improvecalibration accuracyVSAvoidmeasurement consistency
Core Design Contradiction:
Measurement precisionVSReliability

Solution Approach 1:

The patent uses a reference indenter with known, ideal geometry as a template or copy. By measuring the test indenter's area function and comparing it directly against the reference indenter's established geometry, the patent eliminates errors associated with multiple separated indents and varying contact points, achieving both high accuracy and reliability.

Inventive Principle:
Principle #26Copying

Solution Approach 2:

The patent implements feedback by continuously monitoring and comparing measurements against the reference indenter's known geometry. This feedback loop detects and corrects for variations in contact point and measurement drift, ensuring consistent and reliable calibration results without requiring multiple separated indents.

Inventive Principle:
Principle #23Feedback

Data Source

PatentEP3076153B1Method for calculating an indenter area function and quantifying a deviation from the ideal shape of an indenter
Publication Date: 2017.11.08 NANOVEA
  • EP3076153B1 patent drawingFigure 1
  • EP3076153B1 patent drawingFigure 2
  • EP3076153B1 patent drawingFigure 3

AI summary

A method for calculating an indenter area function and quantifying a deviation from the ideal shape of an indenter. The method preferably comprises the steps of: (1) providing a material testing apparatus, an indenter, and a sample; (2) performing one (or very few indentation tests) across a range of loads by applying the indenter to the sample; (3) collecting load data; (4) calculating Martens hardness data (5) normalizing the depth data and Martens hardness data; and (6) analyzing the load data to detect the amount of deviation in the indenter's area function. Preferably, when applying the indenter to the sample, the loading rate will be performed very slowly at low loads. The loading rate will then preferably accelerate as the load increases. This will generally allow the load application tester to produce repeatable data at low loads and a full range test in a reasonably short time.