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Constructing Continuous Strain and Stress Fields from Spatially Discrete Displacement Measurements in Soft Materials Open Access


Other title
soft materials
Type of item
Degree grantor
University of Alberta
Author or creator
Liu, Wanru
Supervisor and department
Tang, Tian (Mechanical Engineering)
Long, Rong (Mechanical Engineering, University of Colorado)
Examining committee member and department
Kim, Chun Il (Mechanical Engineering)
Long, Rong (Mechanical Engineering, University of Colorado)
Tang, Tian (Mechanical Engineering)
Department of Mechanical Engineering

Date accepted
Graduation date
Master of Science
Degree level
Recent studies show that particle tracking together with moving least-square (MLS) method is capable to interpolate displacement field and to determine strain and stress fields from discrete displacement measurements in soft materials. The goal of this study is to evaluate of the numerical accuracy of MLS in determining the displacement, strain and stress fields in soft materials. Using an indentation example as the benchmark, we extracted the discrete displacements data from a finite element model and used it as the input to MLS. We assessed the accuracy of MLS by comparing displacement, strain and stress fields from MLS with the corresponding results from finite element analysis (FEA). For the indentation model, we also finished a parametric study and had some understanding towards how the parameters affect the accuracy of MLS. Based on the guideline about the effect of parameters, we applied the MLS method to two other cases with stress concentration: a plate with a circular cavity subjected to large uni-axial stretch and a plane stress crack under large Mode-I loading. The results demonstrated the capability of MLS to measure large deformation and stress concentration within soft materials.
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. The author reserves all other publication and other rights in association with the copyright in the thesis and, except as herein before 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.
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