Is there a Young-Laplace equation for solids and gases?

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SUMMARY

The discussion centers on the existence of an equation analogous to the Young-Laplace equation for elastic solids, particularly at solid-solid interfaces. It highlights that true solids possess a crystalline structure, making them less deformable compared to fluids under pressure forces. The conversation also touches on the necessity of incorporating an additional term in the First Law of thermodynamics to account for surface energy in polyphase solids like alloys. The complexities of solid-solid interfaces are emphasized, indicating that they are more intricate than fluid interfaces.

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  • Understanding of Young-Laplace equation in fluid mechanics
  • Knowledge of crystalline structures in solid materials
  • Familiarity with thermodynamics, particularly the First Law
  • Concepts of surface energy and grain boundaries in materials science
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  • Research the application of Young-Laplace equation in solid mechanics
  • Study the role of surface energy in polyphase materials
  • Explore the thermodynamic implications of grain boundaries in alloys
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Materials scientists, mechanical engineers, and researchers focused on the mechanical behavior of solids and the thermodynamic principles governing solid-solid interfaces.

sebassen
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I was wondering, is there any equation -like young laplace equation - that relates the pressure difference to the shape of the surface on elastic solids? (interfase: solid - gas)
 
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I meant, solid-solid. Like on a mosaic
 
Well solid - solid interfaces are more complicated.

Don't forget that true solids have a regular crystalline structure so are constrained to their particular crystal shape. They are not so readily deformable as fluids by boundary pressure forces. Their boundaries don't just follow the interplay of pressure forces between two fluids.

In thermodynamics when discussing polyphase solids such as alloys you have to add an extra term into the First Law for to allow for the surface energy of the grain boundaries.

Perhaps more detail about what you are looking for?
 

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