This work investigates fracture characteristics of a marble semi-circular bend (SCB) specimen with pre-defined crack under compressive loading condition. It aims at evaluating how the toughness can be affected by and span length variation. Numerically, model is solved using meshless methods, extended to linear elastic mechanics (LEFM), resorting radial point interpolation method (RPIM) its natu...

This study presents a numerical modelling framework based on complex variable meshless methods, which can accurately and efficiently track arbitrary crack paths in two-dimensional linear elastic solids. The key novelty of this work is that the proposed scheme enables direct element-free approximation for solutions fracture mechanics problems. moving least-squares with group simple polynomial ba...

Three different truly Meshless Local Petrov-Galerkin (MLPG) methods are developed for solving 3D elasto-static problems. Using the general MLPG concept, these methods are derived through the local weak forms of the equilibrium equations, by using different test functions, namely, the Heaviside function, the Dirac delta function, and the fundamental solutions. The one with the use of the fundame...

Meshless deformation based on shape matching is a new technique for simulating deformable objects without requiring mesh connectivity information. The approach focuses on speed, ease of use and stability at the expense of physical accuracy. In this paper we introduce improvements to the technique that increase physical realism and make it more suitable for use in interactive real-time environme...

We describe a numerical method to solve the quasistatic Maxwell equations to obtain the electric potential distribution generated by a point source of current density inside a body of arbitrary shape and constant conductivity. The method needs only a set of nodes on the surface and inside the body, but it does not need a mesh connecting the nodes. The proposed meshless method is compared agains...

During the last ten years, various meshless techniques have been developed to solve complex boundary value problems. However, there is still not yet an efficient meshless method available for general linear static analysis. The method of finite spheres is a promising meshless technique with respect to efficiency and applicability [1]. In this paper, improvements of the method of finite spheres ...

A stochastic meshless method is presented for solving boundary-value problems in linear elasticity that involves random material properties. The material property was modelled as a homogeneous random eld. A meshless formulation was developed to predict stochastic structural response. Unlike the nite element method, the meshless method requires no structured mesh, since only a scattered set of n...

A comparison study of the efficiency and accuracy of a variety of meshless trial and test functions is presented in this paper, based on the general concept of the meshless local Petrov-Galerkin (MLPG) method. 5 types of trial functions, and 6 types of test functions are explored. Different test functions result in different MLPG methods, and six such MLPG methods are presented in this paper. I...

We introduce a geometric stencil selection algorithm for Laplacian in 3D that significantly improves octant-based considered earlier. The goal of the is to choose small subset from set irregular points surrounding given point admits an accurate numerical differentiation formula. serves as influence approximation meshless finite difference methods using either polynomial or kernel-based techniqu...

The meshles.i method based on the least-squares approach, the rneshle.is weighted leastsquares (MWLS) method, is extended to soive conduction heat transfer problems. The MWLS formulation is first established for steady-state problems and then extended to unsteady-state problems with time-stepping schemes. Theoretiiai analy.us antl numerical examples indicate that larger time steps can be used i...