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

  • Author / Creator
    Liu, Wanru
  • 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.

  • Subjects / Keywords
  • Graduation date
    2015-11
  • Type of Item
    Thesis
  • Degree
    Master of Science
  • DOI
    https://doi.org/10.7939/R36D5PG9N
  • License
    This thesis is made available by the University of Alberta Libraries with permission of the copyright owner solely for non-commercial purposes. This thesis, or any portion thereof, may not otherwise be copied or reproduced without the written consent of the copyright owner, except to the extent permitted by Canadian copyright law.
  • Language
    English
  • Institution
    University of Alberta
  • Degree level
    Master's
  • Department
    • Department of Mechanical Engineering
  • Supervisor / co-supervisor and their department(s)
    • Tang, Tian (Mechanical Engineering)
    • Long, Rong (Mechanical Engineering, University of Colorado)
  • Examining committee members and their departments
    • Long, Rong (Mechanical Engineering, University of Colorado)
    • Tang, Tian (Mechanical Engineering)
    • Kim, Chun Il (Mechanical Engineering)