Simulating large deformation processes using an explicit element-free Galerkin method: with applications to material forming
type: CreativeWork
description: Computational methods are widely utilised in engineering to obtain the response of components and structures under loading. In the pioneering years, modest computational power limited the application of these computational techniques to relatively simple problems. However, with the substantial increase in computational power, the scope of these methods has broadened to simulate several physical processes used in industry to inform manufacturing strategies. A forming technique that has benefited from this increased computational power is the stretch blow moulding (SBM) process, which is the primary manufacturing technique used to produce polymer bottles for the water and soft drinks industry. The finite element method is frequently used to simulate this process, to reduce the economic cost of bottle design and optimise for minimum material use. Despite its ubiquitous adoption, several issues are often encountered in finite element simulations, predominately related to the dependency of the results on the set of elements (mesh) used to solve the problem. In response to these issues, so-called meshfree methods have been developed. Despite twenty years of progress in meshfree technology, the application of these techniques to real-world applications is limited. This thesis aims to further widen the application of meshfree methods to material-forming, where the absence of a fixed computational mesh has the potential to provide numerous benefits. In this work, an explicit element-free Galerkin method was used to simulate a range of large deformation problems. Initially, a total formulation was utilised, in which the neighbourhood information was kept constant throughout. Through several numerical examples, the benefits of meshfree methods in the simulation of large deformation problems were shown. The application of this total formulation culminated in a validated simulation of the stretch blow moulding process. In the final part of this work, the formulation was enhanced…
abstract: Computational methods are widely utilised in engineering to obtain the response of components and structures under loading. In the pioneering years, modest computational power limited the application of these computational techniques to relatively simple problems. However, with the substantial increase in computational power, the scope of these methods has broadened to simulate several physical processes used in industry to inform manufacturing strategies. A forming technique that has benefited from this increased computational power is the stretch blow moulding (SBM) process, which is the primary manufacturing technique used to produce polymer bottles for the water and soft drinks industry. The finite element method is frequently used to simulate this process, to reduce the economic cost of bottle design and optimise for minimum material use. Despite its ubiquitous adoption, several issues are often encountered in finite element simulations, predominately related to the dependency of the results on the set of elements (mesh) used to solve the problem. In response to these issues, so-called meshfree methods have been developed. Despite twenty years of progress in meshfree technology, the application of these techniques to real-world applications is limited. This thesis aims to further widen the application of meshfree methods to material-forming, where the absence of a fixed computational mesh has the potential to provide numerous benefits. In this work, an explicit element-free Galerkin method was used to simulate a range of large deformation problems. Initially, a total formulation was utilised, in which the neighbourhood information was kept constant throughout. Through several numerical examples, the benefits of meshfree methods in the simulation of large deformation problems were shown. The application of this total formulation culminated in a validated simulation of the stretch blow moulding process. In the final part of this work, the formulation was enhanced…
author: Smith, Stephen
language: eng
keywords: Computational mechanics, Meshfree methods, Material forming
date published: 2020-7
date modified: 2026-07-24T03:55:25Z
provider: Queen's University Belfast
publisher: Networked Digital Library of Theses and Dissertations
type: WebPage
source organization: Queen's University Belfast