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Abstract
Due to the Poisson effect, straining the material along a certain direction causes strains along other directions. The crystalline nature of semiconductors causes the elastic matrix (which determines the relation between stress and strain) to be anisotropic. Said differently, different crystalline axes require more or less stress to achieve a specific strain. This calculator allows you to calculate the strain and stress tensor for adjustable boundary conditions. These boundary conditions can be a fixed stress or fixed strain along one or more of the user-defined axes.
The calculations assume elastic deformation implying a linear relation between stress and strain.
A couple of notes on the stress/strain relationships:
epsilon_6 := 2*epsilon_1,2 as we use [https://en.wikipedia.org/wiki/Deformation_(mechanics)#Shear_strain engineering shear strain] in the simulation, but
sigma_6 := sigma_1,2
Bio
http://teherani.weebly.com/
Credits
Jamie Teherani, MIT 2014
Sponsored by
NSF Center for Energy Efficient Electronics Science, http://www.e3s-center.org
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