Related Experiment Video
Updated: Jan 1, 2026

Stress Distribution During Cold Compression of Rocks and Mineral Aggregates Using Synchrotron-based X-Ray Diffraction
Published on: May 20, 2018
Intragranular three-dimensional stress tensor fields in plastically deformed polycrystals
Yujiro Hayashi1, Daigo Setoyama2, Yoshiharu Hirose2
1Toyota Central R&D Laboratories, Nagakute, Aichi 480-1192, Japan. y-hayashi@mosk.tytlabs.co.jp.
Abstract:
The failure of polycrystalline materials used in infrastructure and transportation can be catastrophic. Multiscale modeling, which requires multiscale measurements of internal stress fields, is the key to predicting the deformation and failure of alloys. We determined the three-dimensional intragranular stress tensor fields in plastically deformed bulk steel using a high-energy x-ray microbeam. We observed intragranular local stresses that deviated greatly from the grain-averaged stresses and exceeded the macroscopic tensile strength. Even under deformation smaller than the uniform elongation, the intragranular stress fields were in highly triaxial stress states, which cannot be determined from the grain-averaged stresses. The ability to determine intragranular stress tensor fields can facilitate the understanding and prediction of the deformation and failure of materials through multiscale modeling.
Related Concept Videos
Three-Dimensional Analysis of Strain
Transformation of Plane Stress
General State of Stress
Specifically, consider a tetrahedral element where one face, labeled XYZ, is perpendicular to the line OA, and the remaining faces align with the coordinate axes with point O as the origin. At any point, such as point O, the stress tensor can be used to determine the stress...
Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity
Generalized Hooke's Law
Stress: General Loading Conditions
The shearing force, possessing potential directionality within the plane of the section, is simplified into two component forces running parallel to the x and y axes....

