We show that any finite-variance, isotropic random field on a compact group is necessarily meansquare continuous, under standard measurability assumptions. The result extends to isotropic random fields defined on homogeneous spaces where the group acts continuously. •

The article focuses on the deformation and strain-stress analysis of Earth’s crust under external thermal loading. More specifically, influence cyclic changes in surface temperature field stress displacement inside over a two-year time span is investigated. finite element program MSC.Marc Mentat was used to calculate stresses displacements. For practical reasons, simplified as planar, piecewise...

objective: in this paper, finite element model of the l4 vertebra subjected to combination of compression and flexion loading in isotropic and anisotropic cases is investigated. methods: in both cases, the vertebra is considered homogeneous. also, the body of vertebra is divided to cancellous and cortical sections in anisotropic model, but the process is assumed isotropic such as isotropic mode...

In this short paper, a simple flexible difference scheme for the simulation of rectangular plate vibration is presented, along with various implementation details (scheme coefficients, a discussion of boundary condition implementation, explicit stability bounds, and memory and computational requirements), and a discussion of features such as moving excitation and readout locations. Sound exampl...

The collocation multiquadric radial basis functions are used to analyze static deformations of a simply supported functionally graded plate modeled by a third-order shear deformation theory. The plate material is made of two isotropic constituents with their volume fractions varying only in the thickness direction. The macroscopic response of the plate is taken to be isotropic and the effective...

The aim of the study was to determine intrinsic mechanical properties of the complete growth plate and its reserve, proliferative and hypertrophic zones. Growth plate disk samples from newborn swine's ulnae were tested using stress relaxation tests under unconfined compression. The Transversely Isotropic Biphasic Model (TIBPE) derived by [Cohen, B., Lai, W. M., Mow, V. C., 1998. A transversely ...

in this study, the vibration of cracked plates is investigated using the differential quadrature method and experimental modal analysis. the crack, which is assumed to be open, is modeled by the extended rotational spring. with its finite length, the crack divides the plate into six segments. then, the differential quadrature is applied to the governing differential equations of motion and the ...