I am taking a course in Bayesian statistics, which is off my field. In the lecture notes, the instructor showed
E[X^2n] = (2n-1) σ^2n
and E[X^3 . Y] = E[Y^3 . X] = 3.ρ.σ^4
where σ = variance
E = expectation
X is a random variable.
ρ = cor(XY) = E[XY]/σ^2
Can anyone kindly explain how these equations were derived or atleast point me towards some text where I can understand this? Is this to do with the moment generating function?
I thought this might be of interest for some imechanicans, particularly those who work on composites (anisotropic and/or heterogeneous materials). Sorry if it sounds a bit infomercial.
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Dear,
I am having problem to find "Cauchy stress(σ) " and " Spatial elastic Tensor (c)" from the "strain energy function (ψ)" using 2nd Piola Kirchhoff stress ( S) of transversely isotropic hyper-elastic material. as per the Mechanics the
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Hi,
I am modeling a contact problem. I have chosen Hyperelasticity+permeabilty for catilage material. I apply a displacement over a short time and fix it over a long time to see the force relaxation procedure. during loading time we assume that the boundries ar impermeable but over long time are permeable.
there are some questions that I'm facing with:
1) Shall I use one step and put permeable Boundaries?
