Boundary element analysis of three dimensional anisotropic elastic body with a crack.

A two dimensional Simulation of crack propagation using Adaptive Finite Element Analysis

Finite element method (FEM) is one of the most famous methods which has many applications in varies studies such as the study of crack propagation in engineering structures. However, unless extremely fine meshes are employed, problem arises in accurately modelling the singular stress field in the singular element area around the crack tip. In the present study, the crack growth simulation has b...

A Crack in an Anisotropic Elastic Slab*

A simple Galerkin boundary element method for three-dimensional crack problems in functionally graded materials

This paper presents a Galerkin boundary element method for solving crack problems governed by potential theory in nonhomogeneous media. In the simple boundary element method, the nonhomogeneous problem is reduced to a homogeneous problem using variable transformation. Cracks in heat conduction problem in functionally graded materials are investigated. The thermal conductivity varies parabolical...

Three-dimensional anisotropic pressure free boundary equilibria

a r t i c l e i n f o a b s t r a c t Free boundary three-dimensional anisotropic pressure magnetohydrodynamic equilibria with nested magnetic flux surfaces are computed through the minimisation of the plasma energy functional W = V d 3 x [B 2 /(2μ 0) + p /(Γ − 1)]. The plasma–vacuum interface is varied to guarantee the continuity of the total pressure [p ⊥ + B 2 /(2μ 0)] across it and the vacu...

An Improved Boundary Element Analysis of Cavitating Three-dimensional Hydrofoils

A theoretical analysis of three–dimensional cavitating flows based on a boundary element approach which includes rotational and viscous flow effects is presented. Partial sheet cavitation is studied by a closed–cavity nonlinear model which includes the prediction of the cavity detachment point. The trailing vorticity path is described by a wake– alignment technique. Viscosity effects are includ...