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Firstly, we make use of symmetry conditions present in a representative volume element of material.
Thermodynamic balance equations are written to describe the time evolution of a two-phase, crystal-amorphous element of material undergoing ball milling.
Instead of making the threshold non-zero, the correct remedy is to consider the weakest link model to have a finite number of links, each of them representing one finite-size representative volume element of material.
Once the damage accumulated in this element of material becomes critical, the crack propagates through the damaged region into a new region of virgin material where the process of damage accumulation begins again.
In Hindu/Vedic sacred and philosophical texts, the art and act of devotion, like nearly every element of material existence, can be framed through the three gunas, or modes of nature.
Sintering is categorized in the synthesis/processing element among the four basic elements of materials science and engineering.
The experimental results are also used as critical input into mesoscale finite element models of materials response.
His research interests include reliability and failure physics modeling of electronic components and systems, finite element modeling of materials degradation, statistical modeling of engineering systems, nano-materials and devices reliability, and prognosis & health management of engineering system.
"Like Kerry, Obama wouldn't have much leverage with the tough-nosed Putin unless Obama was also putting into play in the Syria war new elements of material — not verbal — pressure against the Assad-Russia-Iran alliance".
The proposed strategy consists of homogenising the three length-scales by means of representative volume elements of material.
Some of the complementarities of any given civilization are between elements of "material" life and ones commonly treated as integral to "culture".
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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