We give general sufficient conditions for the existence of trapped surfaces due to concentration of matter in spherically symmetric initial data sets satisfying the dominant energy condition. These results are novel in that they apply and are meaningful for arbitrary spacelike slices, that is, they do not require any auxiliary assumptions such as maximality, time symmetry, or special extrinsic ...

In this paper, the fuzzy scattering problem with semicircular depressions on boundary of a band-shaped elastic plate steady SH guided wave incident is studied and an analytical solution given. First, constructed by expansion method, then scattered satisfying free condition stress strip domain cumulative mirror method. Finally, definite equation obtained based fact that shear at edge semi-circul...

The circumferential shear stress along the boundary of a traction-free circular hole in an infinite isotropic solid under antiplane shear is twice the circumferential shear stress along the corresponding circle in an infinite solid without a hole, under the same loading conditions. This result, originally derived by Lin et al. (Yielding, damage, and failure of anisotropic solids. EGF Publicatio...

Previous studies have shown that hindlimb unweighting of rats, a model of microgravity, reduces evoked contractile tension of peripheral conduit arteries. It has been hypothesized that this diminished contractile tension is the result of alterations in the mechanical properties of these arteries (e.g., active and passive mechanics). Therefore, the purpose of this study was to determine whether ...

Numerical computation of wave propagation in laminated cylinders with internal fluid and residual stress is obtained using a Wave Finite Element formulation for 2D waveguides. Only very small segment the system modelled, resulting low-order finite element (FE) model to which theory periodic structures applied. The method uses standard FE formulations exploits capability commercial software both...

Maarten V. de Hoop,1 Robert D. van der Hilst2 and Peng Shen3 1Center for Computational and Applied Mathematics, Purdue University, 150 N. University Street, West Lafayette IN 47907, USA 2Department of Earth, Atmospheric and Planetary Sciences, Massachusetts Institute of Technology, Rm 54-517A, Cambridge, MA 02139, USA. E-mail: [email protected] 3Total E&P USA, 800 Gessner, Suite 700, Houston TX 702...