Download the full-sized PDF of Three-scale modeling and numerical simulations  of fabric materialsDownload the full-sized PDF



Permanent link (DOI):


Export to: EndNote  |  Zotero  |  Mendeley


This file is in the following communities:

Graduate Studies and Research, Faculty of


This file is in the following collections:

Theses and Dissertations

Three-scale modeling and numerical simulations of fabric materials Open Access


Other title
Type of item
Degree grantor
University of Alberta
Author or creator
Xia, Weijie
Supervisor and department
Nadler, Ben (Mechanical Engineering)
Examining committee member and department
Ru, Chongqing (Mechanical Engineering)
Schiavone, Peter (Mechanical Engineering)
Tang, Tian (Mechanical Engineering)
Nadler, Ben (Mechanical Engineering)
Dorfmann, Luis (Civil and Environmental Engineering, Tufts University)
Adeeb, Samer (Civil Engineering)

Date accepted
Graduation date
Doctor of Philosophy
Degree level
Based on the underlying structure of fabric materials, a three-scale model is constructed to describe the mechanical behavior of fabric materials. The current model assumes that fabric materials take on an overall behavior of anisotropic membranes, so membrane scale is taken as the macroscopic or continuum scale of the model. Following the membrane scale, yarn scale is introduced, in which yarns and their weaving structure are accounted for explicitly and the yarns are modeled as extensible elasticae. A unit cell consisting of two overlapping yarns is used to formulate the weaving patterns of yarns, which governs the constitutive nonlinear behavior of fabric materials. The third scale, named fibril scale, zooms to the fibrils inside a yarn and incorporates its material properties. Via a coupling process between these three scales, the overall behavior and performance of the complex fabric products become predictable by knowing the material properties of a single fibril and the weaving structure of the fabrics. In addition, potential damage during deformation is also captured in the current model through tracking the deformation of yarns in fibril scale. Based on the multi-scale model, both static and dynamic simulations were implemented. Comparison between the static simulations and experiment demonstrates the model abilities as desired. Through the dynamic simulations, parameter research was conducted and indicates the ballistic performance and mechanical behavior of the fabric materials are determined by a combination of various factors and conditions rather than the material properties alone. Factors such as boundary conditions, material orientation and projectile shapes etc. affect the damage patterns and energy absorption of the fabric.
License granted by Weijie Xia ( on 2010-11-30T03:11:18Z (GMT): Permission is hereby granted to the University of Alberta Libraries to reproduce single copies of this thesis and to lend or sell such copies for private, scholarly or scientific research purposes only. Where the thesis is converted to, or otherwise made available in digital form, the University of Alberta will advise potential users of the thesis of the above terms. The author reserves all other publication and other rights in association with the copyright in the thesis, and except as herein provided, neither the thesis nor any substantial portion thereof may be printed or otherwise reproduced in any material form whatsoever without the author's prior written permission.
Citation for previous publication

File Details

Date Uploaded
Date Modified
Audit Status
Audits have not yet been run on this file.
File format: pdf (Portable Document Format)
Mime type: application/pdf
File size: 7834126
Last modified: 2015:10:12 18:37:55-06:00
Filename: Xia_Weijie_Spring 2011.pdf
Original checksum: aeec47e182b97608b3a3e2c8ef51142a
Well formed: false
Valid: false
Status message: Invalid page tree node offset=6533264
Status message: Unexpected error in findFonts java.lang.ClassCastException: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject cannot be cast to edu.harvard.hul.ois.jhove.module.pdf.PdfDictionary offset=3105
Status message: Invalid Annotation list offset=7764557
Status message: Outlines contain recursive references.
File title: Chapter 1 Introduction
Activity of users you follow
User Activity Date