Constructing Continuous Strain and Stress Fields From Spatially Discrete Displacement Data in Soft Materials

被引:15
作者
Liu, Wanru [1 ]
Long, Rong [2 ]
机构
[1] Univ Alberta, Dept Mech Engn, Edmonton, AB T6G 2G8, Canada
[2] Univ Colorado, Dept Mech Engn, Boulder, CO 80309 USA
来源
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME | 2016年 / 83卷 / 01期
基金
加拿大自然科学与工程研究理事会;
关键词
soft material; large deformation; interpolation; moving least-square method; DIGITAL VOLUME CORRELATION; HIGH-TOUGHNESS; TIP FIELDS; HYDROGELS; ELASTOMERS; MICROSCOPY; INTERFACE; FRACTURE;
D O I
10.1115/1.4031763
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
A recent study demonstrated that three-dimensional (3D) continuous displacement fields in transparent soft gels can be constructed from discrete displacement data obtained by optically tracking fluorescent particles embedded in the gels. Strain and stress fields were subsequently determined from gradients of the displacement field. This process was achieved through the moving least-square (MLS) interpolation method. The goal of this study is to evaluate the numerical accuracy of MLS in determining the displacement, strain, and stress fields in soft materials subjected to large deformation. Using an indentation model as the benchmark, we extract displacement at a set of randomly distributed data points from the results of a finite-element model, utilize these data points as the input for MLS, and compare resulting displacement, strain, and stress fields with the corresponding finite-element results. The calculation of strain and stress is based on finite strain kinematics and hyperelasticity theory. We also perform a parametric study in order to understand how parameters of the MLS method affect the accuracy of the interpolated displacement, strain, and stress fields. We further apply the MLS method to two additional cases with highly nonuniform deformation: a plate with a circular cavity subjected to large uniaxial stretch and a plane stress crack under large mode I loading. The results demonstrate the feasibility of using optical particle tracking together with MLS interpolation to map local strain and stress field in highly deformed soft materials.
引用
收藏
页数:15
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