Limit-equilibrium method (LEM) and finite element method (FEM) with strength reduction method (SRM) techniques are the most widely used analysis tools in slope stability assessment. Recently, researchers have reported that both factor of safety (FOS) values and failure surfaces obtained from LEM and FEM are generally in good agreement, except in some particular cases. In this paper, the FOS and...

In this thesis, we focus on surface representations for particle-based fluid simulators such as Smoothed Particle Hydrodynamics (SPH). We first present a new surface reconstruction algorithm that formulates the implicit function as a sum of anisotropic smoothing kernels. The direction of anisotropy at a particle is determined by performing Weighted Principal Component Analysis (WPCA) over the n...

The complexity of a polygonal mesh model is usually reduced by applying a simplification method, resulting in a similar mesh having less vertices and faces. Although several such methods have been developed, only a few observer studies are reported comparing them regarding the perceived quality of the obtained simplified meshes, and it is not yet clear how the choice of a given method, and the ...

Low count tetrahedral meshes is desirable for animating deformable objects where accuracy is less important and to produce shell maps. This report develops a new method for creating a thick shell tetrahedral mesh from a triangular surface mesh. We propose to use signed distance fields to implicit represent the medial surface representation of a surface mesh. An iteratively algorithm is develope...

Solution-driven mesh adaptation is becoming quite popular for spatial error control in the numerical simulation of complex computational physics applications, such as climate modeling. Typically, spatial adaptation is achieved by element subdivision (h adaptation) with a primary goal of resolving the local length scales of interest. A second, less-popular method of spatial adaptivity is called ...

Abstract. The growing market for fiber-reinforced thermoplastics (FRTP) requires new flexible production processes prototype and small series production, as conventional forming techniques involving molds are not cost efficient in these cases. Inspired by incremental sheet metal (ISF), an alternative manufacturing the of FRTP with just two robot guided standard tools is outlined. To maintain a ...

In current study, The Mesh-free method based on weak-form formulation coupled with the ultrasound imaging technique is developed. This problem consists in computing the deformation of an elastic non-homogenous phantom by numerical methods (both Mesh-free and Finite Element) and converge their results to the measured deformation by the ultrasound. The shape functions of Mesh-free are approximate...

Here and throughout this chapter, the Einstein convention for repeated indices are assumed. The problem (9.1) a model multiscale problem which arises in the modeling of composite materials and the flow transport in heterogeneous porous media. The main difficulty in solving it by standard finite element method is that when ε is small, the underlying finite element mesh h must be much less than ε...