Computational performance of Free Mesh Method applied to continuum mechanics problems

Computational performance of Free Mesh Method applied to continuum mechanics problems

The free mesh method (FMM) is a kind of the meshless methods intended for particle-like finite element analysis of problems that are difficult to handle using global mesh generation, or a node-based finite element method that employs a local mesh generation technique and a node-by-node algorithm. The aim of the present paper is to review some unique numerical solutions of fluid and solid mechan...

بررسی پدیده برخورد با سرعت بالا با استفاده از روش بدون المان (mesh free method)

در این تحقیق ابتدا با توجه به ویژگی های پدیده ی برخورد با سرعت بالا که عبارتند از تغییر شکل های بزرگ که منجر به یک مسئله ی غیر خطی هندسی و مادی میشود ، سطوح مادی در حال حرکت و سطوح آزاد ، مرزهای تغییر شکل پذیر و سیستم گسسته بر پایه ی قوانین محیط پیوسته، روشsph از میان روش های عددی انتخاب گردیده، سپس نحوه ی تخمین زدن متغیر میدان در این روش، روند فرمول نویسی sph و همچنین جایگاه این روش در میان رو...

Fixed Mesh Methods in Computational Mechanics

In many coupled problems of practical interest the domain of at least one of the problems evolves in time. The Arbitrary Eulerian Lagrangian (ALE) approach is a tool very often employed to cope with this domain motion. However, in this work we aim at describing numerical techniques that allow us to use a fixed mesh for the approximation of moving boundary problems, particularly using the finite...

NURBS-Based Isogeometric Analysis Method Application to Mixed-Mode Computational Fracture Mechanics

An interaction integral method for evaluating mixed-mode stress intensity factors (SIFs) for two dimensional crack problems using NURBS-based isogeometric analysis method is investigated. The interaction integral method is based on the path independent J-integral. By introducing a known auxiliary field solution, the mixed-mode SIFs are calculated simultaneously. Among features of B-spline basis...

Introduction to Continuum Mechanics