Journal ArticleDOI
On the method of finite spheres in applications: Towards the use with ADINA and in a surgical simulator
TLDR
In this article, the authors present a preprocessor for the generation of nodal points on two-dimensional computational domains and a specialized version of the method of finite spheres using point collocation and moving least squares approximation functions and singular weight functions.Abstract:
In this paper we report some recent advances regarding applications using the method of finite spheres; a truly meshfree numerical technique developed for the solution of boundary value problems on geometrically complex domains First, we present the development of a preprocessor for the generation of nodal points on two-dimensional computational domains Then, the development of a specialized version of the method of finite spheres using point collocation and moving least squares approximation functions and singular weight functions is reported for rapid computations in virtual environments involving multi-sensory (visual and touch) interactionsread more
Citations
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Journal ArticleDOI
Modeling Soft-Tissue Deformation Prior to Cutting for Surgical Simulation: Finite Element Analysis and Study of Cutting Parameters
TL;DR: This paper presents an experimental study to understand the localized soft-tissue deformation phase immediately preceding crack growth as observed during the cutting of soft tissue, and finds that for a given cutting speed, the deformation resistance decreased as the cutting angle was varied from 90deg to 45deg.
Journal ArticleDOI
Discretized peridynamics for linear elastic solids
Wenyang Liu,Jung-Wuk Hong +1 more
TL;DR: In this article, a connection between bond forces and the stress in the classical (local) theory is established for the calculation of peridynamic stress, which is calculated by summing up bond forces passing through or ending at the cross section of a node.
Journal ArticleDOI
Discretized peridynamics for brittle and ductile solids
Wenyang Liu,Jung-Wuk Hong +1 more
Journal ArticleDOI
On some recent advances in multimodal surgery simulation: A hybrid approach to surgical cutting and the use of video images for enhanced realism
Yi-Je Lim,Wei Jin,Suvranu De +2 more
TL;DR: This paper presents a hybrid approach to the simulation of surgical cutting procedures by combining a node-snapping technique with a physically based meshfree computational scheme, the point-associated finite field (PAFF) approach, and empirical data obtained from controlled cutting experiments.
Journal ArticleDOI
Coupling and enrichment schemes for finite element and finite sphere discretizations
Jung-Wuk Hong,Klaus-Jürgen Bathe +1 more
TL;DR: The finite elements and finite spheres are coupled with full displacement compatibility and a technique in which a finite element discretization is enriched with finite spheres is presented.
References
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Book
Finite Element Procedures
TL;DR: The Finite Element Method as mentioned in this paper is a method for linear analysis in solid and structural mechanics, and it has been used in many applications, such as heat transfer, field problems, and Incompressible Fluid Flows.
Proceedings ArticleDOI
A two-dimensional interpolation function for irregularly-spaced data
TL;DR: In many fields using empirical areal data there arises a need for interpolating from irregularly-spaced data to produce a continuous surface as discussed by the authors, and it is assumed that a unique number (such as rainfall in meteorology, or altitude in geography) is associated with each data point.
Proceedings Article
The PHANToM Haptic Interface: A Device for Probing Virtual Objects
TL;DR: The design rationale, novel kinematics and mechanics of the PHANToM, a device which measures a user’s finger tip position and exerts a precisely controlled force vector on the finger tip, are discussed.
Journal ArticleDOI
Real-time elastic deformations of soft tissues for surgery simulation
TL;DR: A novel method for surgery simulation including a volumetric model built from medical images and an elastic modeling of the deformations based on elasticity theory which suitably links the shape of deformable bodies and the forces associated with the deformation.
Journal ArticleDOI
A finite point method in computational mechanics. applications to convective transport and fluid flow
TL;DR: In this article, the finite point method (FPM) is proposed for solving partial differential equations, which is based on a weighted least square interpolation of point data and point collocation for evaluating the approximation integrals.