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A one-dimensional equation of motion of such material systems is derived based on a combination of the Mindlin microcontinuum model and a hardening model both at the macroscopic and microscopic level.
Implicit in these activites is the necessity to document morphological findings both at the macroscopic and microscopic levels [ 1].
In the murine model of ovarian carcinoma, substantial alterations to the peritoneum were observed both at the macroscopic and submacroscopic levels.
Residual stresses, RSs, both at the macroscopic and microscopic scales, are developed during component manufacture.
A reaction cell experiment was designed to examine mineral dissolution/precipitation processes both at the macroscopic and pore scale.
The model provides a reasonable prediction of stress strain responses both at the macroscopic and microscopic scales.
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The impact theory is based on multiple lines of evidence at both the macroscopic and microscopic level.
Fatigue damage is described at both the macroscopic (mechanical) scale and the microscopic (material) scale.
The critical conditions for crack initiation were identified at both the macroscopic and microscopic levels.
Careful inspection of the microstructures after ECAP revealed excellent agreement, at both the macroscopic and the microscopic levels, with the theoretical predictions for shearing using a 60° die.
The void coalescence criteria of Brown and Embury and of Thomason were then tested against the experimental data at both the macroscopic and local levels.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com