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Temperature Dependent Deformation01:12

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In a nonhomogeneous rod made up of steel and brass, restrained at both ends and subjected to a temperature change, several steps are involved in calculating the stress and compressive load. Due to the problem's static indeterminacy, one end support is disconnected, allowing the rod to experience the temperature change freely. Next, an unknown force is applied at the free end, triggering deformations in the rod's steel and brass portions. These deformations are then calculated and added together...
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Local deformation mapping reveals diffusion through microstructures.

Arindam Raj1,2, Michael Aderibigbe1,2, Ethen Thomas Lund1,2

  • 1Department of Mechanical Engineering, Yale University, New Haven, Connecticut, USA.

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|July 13, 2026
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Summary

Local Deformation Mapping (LDM) provides high-resolution, high-throughput characterization of atomic diffusion in materials. This technique enables detailed mapping of plastic deformation and chemical composition, advancing materials science understanding.

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Area of Science:

  • Materials Science
  • Metallurgy
  • Nanotechnology

Background:

  • Understanding microstructure-property relationships, especially those involving atomic diffusion during plastic deformation, is a significant challenge.
  • Existing methods face limitations in balancing spatial resolution, sampling area, and throughput.

Purpose of the Study:

  • To introduce Local Deformation Mapping (LDM) as a novel high-resolution, high-throughput characterization technique.
  • To enable precise mapping of local diffusion and chemical composition within material microstructures.

Main Methods:

  • LDM involves pressing a nanomold onto a microstructure to create a nanorod array, serving as a deformation map.
  • Analysis of nanorod dimensions and composition, coupled with an analytic model, generates diffusivity maps.
  • The technique achieves ~10 nm² resolution over macroscopic areas (~cm²), yielding up to ~10¹² data points per experiment.

Main Results:

  • Demonstrated one-step determination of grain boundary diffusivity as a function of misorientation angle.
  • Characterized temperature-dependent deformation behavior in materials.
  • Identified previously unknown fast diffusion pathways within interphase boundaries in eutectic-containing alloys.

Conclusions:

  • LDM is a powerful platform for quantitative analysis of structure-property relationships.
  • The technique facilitates a deeper understanding of diffusion mechanisms across a wide range of materials and temperatures.
  • LDM advances the field of materials characterization by offering unprecedented resolution and throughput.