In this paper, the interface crack of two non-homogenous functionally graded materials is studied. Subsequently, with employing the displacement method for fracture of mixed-mode stress intensity factors, the continuous variation of material properties are calculated. In this investigation, the displacements are derived with employing of the functional graded material programming and analysis o...

Objective: In order to evaluate the endometrium by ultrasound in patients undergoing controlled ovarian hyperstimulation (COH) with clomiphene citrate (CC) and human menopausal gonadotropin (HMG) with intrauterine insemination (IUI) to determine the relationship between endometrial pattern and thickness on pregnancy rate (PR). Methods: In this prospective study, 108 infertile couples under...

Does a minimal harmonic function h remain minimal when it is viewed as a parabolic function? The question is answered for a class of long thin semi-infinite tubes D ⊂ R of variable width and minimal harmonic functions h corresponding to the boundary point of D “at infinity.” Suppose f(u) is the width of the tube u units away from its endpoint and f is a Lipschitz function. The answer to the que...

We report an experimental study of the temperature space-time cross-correlation function, C{T}(r,τ), in the central region of turbulent Rayleigh-Bénard convection. The measured C{T}(r,τ) is found to have the scaling form C{T}(r{E},0), where r{E}=[r² +(Vτ)²]¹/² with V being the rms velocity at the center of the convection cell. The experiment confirms the theory by He et al. [Phys. Rev. E 73, 05...

In [CL99] Carlen and Lieb considered Minkowski type inequalities in the context of operators on a Hilbert space. More precisely, they considered the homogenous expression fpq(x1, ..., xn) = ( tr ( ( n ∑ k=1 x q k) p/q ))1/p defined for positive matrices. The concavity for q = 1 and p < 1 yields strong subadditivity for quantum entropy. We discuss the convexity of fpq and show that, contrary to ...