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Three-Dimensional Analysis of Strain

Three-Dimensional Analysis of Strain

Three-dimensional strain analysis is crucial for understanding how materials deform under stress, particularly in elastic, homogeneous materials. This method employs principal stress axes to simplify complex stress states into more understandable forms. Subjected to stress, a small cubic element within a material either expands or contracts along these axes, transforming into a rectangular parallelepiped. This transformation effectively illustrates the material's deformation. The principal...

Measurements of Strain

Measurements of Strain

Strain quantifies the deformation of a material under force, typically measured as normal strain, which represents the change in length when compared with the original length. Electrical strain gauges are used for enhanced accuracy. These devices consist of a conductive wire mounted on a paper backing that adheres to the material's surface. These gauges operate on the piezoresistive effect, where the wire's electrical resistance changes in response to mechanical deformation. The strain gauge...

Stress-Strain Diagram

Stress-Strain Diagram

A stress-strain diagram is a crucial tool that graphically displays a material's mechanical characteristics. This diagram is derived from a tensile test performed on a carefully prepared cylindrical specimen. The specimen has two gauge marks inscribed on its central part, and the distance between these marks is known as the gauge length. The cylindrical specimen is placed in a testing machine, which applies an increasing centric load. As this load grows, so does the gauge length. This change in...

Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity

Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity

Deformation occurs in axial and transverse directions when an axial load is applied to a slender bar. This deformation impacts the cubic element within the bar, transforming it into either a rectangular parallelepiped or a rhombus, contingent on its orientation. This transformation process induces shearing strain. Axial loading elicits both shearing and normal strains. Applying an axial load instigates equal normal and shearing stresses on elements oriented at a 45° angle to the load axis.

Thermal Strain

Thermal Strain

Thermal strain is a concept that arises when we consider how temperature changes affect structures. Unlike the conventional assumption that structures remain constant under load, real-world scenarios often involve temperature fluctuations that can significantly impact these structures. Consider a homogeneous rod with a uniform cross-section resting freely on a flat horizontal surface. If the rod's temperature increases, the rod elongates. This elongation is proportional to the temperature...

Shearing Strain

Shearing Strain

The shearing strain represents a cubic element's angular change when subjected to shearing stress. This type of stress can transform a cube into an oblique parallelepiped without influencing normal strains. The cubic element experiences a significant transformation when exposed solely to shearing stress. Its shape alters from a perfect cube into a rhomboid, clearly demonstrating the effect of shearing strain. The degree of this strain is considered positive if it reduces the angle between the...

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Related Experiment Video

Updated: Jun 9, 2026

Full-field Strain Measurements for Microstructurally Small Fatigue Crack Propagation Using Digital Image Correlation Method

Full-field Strain Measurements for Microstructurally Small Fatigue Crack Propagation Using Digital Image Correlation Method

Published on: January 16, 2019

An experimental methodology to relate local strain to microstructural texture.

J Carroll¹, W Abuzaid, J Lambros

¹Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, 160 Mechanical Engineering Building, 1206 W. Green St., Urbana, Illinois 61801, USA.

The Review of Scientific Instruments

|September 7, 2010

Summary

This study presents a high-resolution method for measuring strain in metals at the (sub)grain level. This technique links strain fields to microstructure, aiding in understanding material behavior under stress.

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Area of Science:

Materials Science
Mechanical Engineering
Experimental Mechanics

Background:

Understanding material deformation at the microstructural level is crucial for predicting macroscopic behavior.
Existing methods often lack the necessary resolution to correlate strain with individual (sub)grains and their boundaries.

Purpose of the Study:

To develop and present an experimental methodology for high-resolution, full-field strain measurements in polycrystalline metals.
To enable quantitative analysis of microstructural feature effects on material response.

Main Methods:

Utilized electron backscatter diffraction (EBSD) for microstructural characterization.
Employed digital image correlation (DIC) at high magnifications for full-field strain measurements.
Integrated EBSD and DIC data by spatially overlaying results from adjacent, high-magnification areas to achieve larger-scale, high-resolution strain mapping.

Main Results:

Achieved (sub)grain level strain resolution, indispensable for correlating strain with microstructure.
Demonstrated the ability to quantitatively study the influence of grain orientation, boundary character, misorientation, and twin boundaries on material response.
Successfully combined adjacent measurement areas to create comprehensive, high-resolution strain datasets over larger regions.

Conclusions:

The presented methodology provides a powerful tool for investigating the interplay between microstructure and deformation mechanisms.
This technique is applicable to studying phenomena like cyclic plasticity and fatigue crack growth.
The approach offers a pathway to deeper insights into material failure and performance.