In this work, possibility of simulating biological organs in realtime using the Boundary Element Method (BEM) is investigated. Biological organs are assumed to follow linear elastostatic material behavior, and constant boundary element is the element type used. First, a Graphics Processing Unit (GPU) is used to speed up the BEM computations to achieve the realtime performance. Next, instead of ...

The paper is devoted to the accuracy improvement of robot-based milling by using an enhanced manipulator model that takes into account both geometric and elastostatic factors. Particular attention is paid to the model parameters identification accuracy. In contrast to other works, the proposed approach takes into account impact of the gravity compensator and link weights on the manipulator elas...

A scheme for the numerical solution of singular integral equations on piecewise smooth curves is presented. It relies on several techniques: reduction, Nyström discretization, composite quadrature, recursive compressed inverse preconditioning, and multipole acceleration. The scheme is fast and stable. Its computational cost grows roughly logarithmically with the precision sought and linearly wi...

We have been developing an advanced general-purpose computational mechanics system, named ADVENTURE, which is designed to be able to analyze a three-dimensional (3D) finite element model of arbitrary shape with a 10–100 million degrees of freedom (DOF) mesh. Module-based architecture of the system with standardized I/O format and libraries are developed and employed to attain flexibility, porta...

We have been developing an advanced general purpose computational mechanics system, named ADVENTURE, which is designed to be able to analyze a three dimensional finite element model of arbitrary shape with a 10-100 million degrees of freedom (DOF) mesh. Module based architecture of the system with standardized I/O format and libraries are developed and employed to attain flexibility, portabilit...

A new fast multipole boundary element method (BEM) is presented in this paper for large-scale analysis of two-dimensional (2-D) elastostatic problems based on the direct boundary integral equation (BIE) formulation. In this new formulation, the fundamental solution for 2-D elasticity is written in a complex form using the two complex potential functions in 2-D elasticity. In this way, the multi...

An interface integral equation is presented for the elastostatic problem in a two-dimensional isotropic composite. The displacement is represented by a single layer force density on the component interfaces. In a simple numerical example involving hexagonal arrays of disks the force density is expanded in a Fourier series. This leads to an algorithm with superalgebraic convergence. The integral...

The present work aims to primarily provide a general representation of the solution simplified elastostatics version Mindlin’s Form II first-strain gradient elastic theory, which converges corresponding classical boundary value problem as intrinsic parameters become zero. Through functional theory considerations, one-intrinsic-parameter strain elastostatic equation that comprises is rigorously ...