We provide an analytical solution for the elastic fields in a two-dimensional unbounded isotropic body with rigid inclusion. Our analysis is based on boundary integral formulation of elastostatic problem and geometric function theory. Specifically, we use coordinate system provided by exterior conformal mapping inclusion to define density basis functions inclusion, Faber polynomials associated ...

In this paper, attempt is made to solve a few problems using the Polynomial Point Collocation Method (PPCM), the Radial Point Collocation Method (RPCM), Smoothed Particle Hydrodynamics (SPH), and the Finite Point Method (FPM). A few observations on the accuracy of these methods are recorded. All the simulations in this paper are three dimensional linear elastostatic simulations, without account...

The numerical construction of a Green’s function for multiple interacting planar cracks in an anisotropic elastic space is considered. The numerical Green’s function can be used to obtain a special boundary integral method for an important class of two-dimensional elastostatic problems involving planar cracks in an anisotropic body.

In this paper, we introduce pressure masks for supporting the convenient abstraction of localized scale-specific point-like contact with a discrete elastic object. While these masks may be defined for any elastic model, special attention is given to the case of point-like contact with precomputed linear elastostatic models for purposes of haptic force-feedback.

An algorithm is presented for the multiple crack problem in planar linear elastostatics. The algorithm has three important properties: it is stable, it is adaptive, and its complexity is linear. This means that high accuracy can be achieved and that large-scale problems can be treated. In a numerical example stress fields are accurately computed in a mechanically loaded material containing 10,0...

A novel interactive virtual needle insertion simulation is presented. Simulation models are based upon planar tissue deformations and forces measured during needle insertion experiments. Users are able to control a three-degree-of-freedom virtual needle as it penetrates a linear elastostatic tissue model, while experiencing steering torques and lateral needle forces through a planar haptic inte...

Abstract We propose some crystalline materials showing a strong correspondence with construction by Ball and Murat for elastostatic problems. Such construction, translated into space-time setting, is producing plenty of turbulence self similar solutions.