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Results tagged with material-science
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user 15936
The study of how the properties of matter arise from its structure at all scales and of how processing can be used to modify those properties (often in pursuit of a specific application).
13
votes
1
answer
1k
views
Invariant polynomials of the Landau theory of phase transitions (crystal symmetry?)
I'm convinced I'm missing something so obvious but here goes
Typically, one can define something like a "general" expansion of an order parameter, ${\boldsymbol \Gamma}$, up to 6th order as follows
…
- 1,062
1
vote
0
answers
55
views
Reconcile the principle axes, crystallographic axes, and some global axis for a polycrystall...
I'm trying to work out the tensorial algebra for elastooptic effects in a uniaxially birefringent material that has a polycrystalline grain structure. Let's denote a global reference frame $\{x,y,z\}$ …
- 1,062
5
votes
1
answer
763
views
Tensorial version of Hooke's law
It is well known that
$${\boldsymbol F} = k {\boldsymbol x}$$
for isotropic media. Also, according to Wikipedia
$$F_k = k_{jk} x_j$$
for some elastic tensor $k_{jk}$. I'm a bit confused as to how t …
- 1,062
0
votes
Accepted
Degree of anisotropy of crystal tensors
I'm going to follow a paper Phys. Rev. Lett. 101, 055504 that seems to answer this question very concisely. Usual Voight notation: $C_{ijkl} \to C_{mn}$ here, we define Voight and Reuss estimators as …
- 1,062
3
votes
2
answers
863
views
Degree of anisotropy of crystal tensors
Does there exist a scalar that can describe how anisotropic the elasticity of a crystal is? What about other tensors such as the permittivity or susceptibility? I found a Wikipedia article that was pa …
- 1,062
0
votes
0
answers
336
views
Qualitative understanding of excess heat capacity in ferroics
I'm looking to understand what an excess heat capacity in a ferroelectric (FE) can correspond to qualitatively. Typically one starts with a Landau expansion of the free energy if you want to study the …
- 1,062
3
votes
What's the meaning of linear medium in electromagnetism?
In terms of a dielectric, it means there is a linear constitutive relation between the vectors.
$${\boldsymbol D} = \epsilon_0 {\boldsymbol E} + {\boldsymbol P}$$
Or
$${\boldsymbol D} = \epsilon_r …
- 1,062