A collocation-quadrature method is proposed and studied for the numerical solution of a singular integral equation concerned with the two-dimensional elasticity problem of a crack at a circular cavity surface. These investigations are based on an C∗-algebra approach presented in a recent paper [5] on the numerical solution of an integral equation for the notched half-plane problem.

A general theory of thermally stable anisotropic laminates with bending-extension coupling is presented in the framework of linear thermo-elasticity. It is based upon the use of tensor invariants, found by the polar formalism for bi-dimensional anisotropic elasticity. The extension of the results to moisture absorption effects is also proved.

We have developed a model of forces developed in lung tissue in which the stress-bearing units are heterogeneous. Each element of the fiber network is composed of an idealized elastin and collagen element in parallel. Elastin is represented by linear springs and collagen by stiff strings that extend without resistance until taut. The model can quantitatively account for the nonlinear shape of t...

As multiple types of distributed, heterogeneous cloud computing environments have proliferated, cloud software can leverage diverse types of infrastructural, platform and data resources with different cost and quality models. This introduces a multidimensional elasticity perspective for cloud software that would greatly meet changing demands from the user. However, we argue that current techniq...

Abstract We investigate the two-dimensional flow of a liquid foam around circular obstacles by measuring all the local fields necessary to describe this flow: velocity, pressure, bubble deformations and rearrangements. We show how our experimental setup, a quasi-2D ”liquid pool” system, is adapted to the determination of these fields: the velocity and bubble deformations are easy to measure fro...

We make use of continuum elasticity theory to investigate the collective modes that propagate along the edge of a two-dimensional electron liquid or crystal in a magnetic field. An exact solution of the equations of motion is obtained with the following simplifying assumptions: (i) The system is macroscopically homogeneous and isotropic in the half-plane delimited by the edge (ii) The electron-...

A numerical method called the Boundary Walk Method (BWM) is used to solve problems in two-dimensional potential theory and linear elasticity in multiply connected domains. The BWM is a local method in the sense that it directly gives the solution at the point of interest. It is based on a global integral representation of the unknown function in the form of a potential, followed by evaluating t...

Using numerical and analytical calculations we study the structure of vacancies and interstitials in twodimensional colloidal crystals. In particular, we compare the displacement fields of the defect obtained numerically with the predictions of continuum elasticity theory for a simple defect model. In such a comparison it is of crucial importance to employ corresponding boundary conditions both...

based on three-dimensional theory of elasticity, static analysis of functionally graded carbon nanotube reinforced composite (fg-cntrc) cylindrical panel subjected to mechanical uniformed load with simply supported boundary conditions is carried out. in the process, stress and displacement fields are expanded according to the fourier series along the axial and circumferential coordinates. from ...