We study birational transformations of certain fibtations of degree 4 del Pezzo surfaces over P, into other Mori fibre spaces, using Cox rings. We show that these Mori fibre spaces have a (relatively) big pliability although they are not rational. Our methods can be applied to study birational geometry of Mori dream spaces with low rank Cox ring.

Grain-scale local fluid flow is an important loss mechanism for attenuating waves in cracked fluid-saturated poroelastic rocks. In this study, a dynamic elastic modulus model is developed to quantify local flow effect on wave attenuation and velocity dispersion in porous isotropic rocks. The Eshelby transform technique, inclusion-based effective medium model (the Mori–Tanaka scheme), fluid dyna...

Regulatory molecules S. Matsuzaki, Y. Shimizu, K. Dobashi, T. Nagamine, T. Satoh, T. Ohkubo, A. Yokoyama, Y. Ishii, T. Kamiya, K. Arakawa, S. Makino, M. Utsugi, T. Ishizuka, S. Tanaka, K. Shimizu and M. Mori. Analysis on the co-localization of asbestos bodies and Fas or CD163 expression in asbestos lung tissue by in-air micro-PIXE........................................ D.E. Lorke, M.S.M. Wai, ...

This article investigates mechanics issues related to potential use of a recently developed porous titanium (Ti) material for load-bearing implants. This material may have advantages over solid Ti of enhancing the bone-implant interface strength by promoting bone and soft tissue ingrowth and of reducing the bone-implant modulus mismatch, which can lead to stress shielding. Experimental data fro...

Nanotube-reinforced polymers offer significant potential improvements over the pure polymer with regard to mechanical, electrical and thermal properties. This article investigates the degree to which the characteristic waviness of nanotubes embedded in polymers can impact the effective stiffness of these materials. A 3D finite element model of a single infinitely long sinusoidal fiber within an...

The objective of this paper was to predict the thermomechanical behavior of 2080 aluminum alloy reinforced with SiC particles using the Mori–Tanaka theory combined with the finite element method. The influences of particle volume fraction, stiffness, aspect ratio and orientation were examined in terms of effective Young’s modulus, Poisson’s ratio and coefficient of thermal expansion (CTE) of th...

In the dilute limit Eshelby's inclusion theory captures the behavior of a wide range of systems and properties. However, because Eshelby's approach neglects interfacial stress, it breaks down in soft materials as the inclusion size approaches the elastocapillarity length L≡γ/E. Here, we use a three-phase generalized self-consistent method to calculate the elastic moduli of composites comprised ...

1. Sharif M, Kirwan J, Charni N, Sandell LJ, Whittles C, Garnero P. A 5-year longitundinal study of type IIA collagen synthesis and total type II collagen degradation in patients with knee osteoarthritis — Association with disease progression. Rheumatology (Oxford) 2007;46:938-43. 2. Fukui N, Ikeda Y, Ohnuki T, Tanaka Hikita A, Mitomi H, Mori T, Juji T, Katsuragawa Y, Yamamoto S, Sawabe M, Yama...

Abstract In the present paper, the stiffening effect of carbon nanotubes is quantitatively investigated by micromechanics methods. The Mori-Tanaka effective-field method is employed to calculate the effective elastic moduli of composites with aligned or randomly oriented straight nanotubes. In addition, the epoxy resin is modified experimentally by adding SWCNT with different ratio i.e 0, 0.1, ...

Effects of bi-axial stretching induced reorientation of graphene platelets (GPLs) on the Young's modulus of GPL/polymer composites is studied by Mori-Tanaka micromechanics model. The dispersion state of the GPLs in polymer matrix is captured by an orientation distribution function (ODF), in which two Euler angles are used to identify the orientation of the GPLs. Compared to uni-axial stretching...