Integrated Photoelasticity in a Soft Material: Phase Retardation, Azimuthal Angle, and Stress-Optic Coefficient

15 Pages Posted: 25 Jul 2022

See all articles by Yuto Yokoyama

Yuto Yokoyama

Tokyo University of Agriculture and Technology

Benjamin R. Mitchell

University of New Hampshire

Ali Nassiri

affiliation not provided to SSRN

Brad L. Kinsey

University of New Hampshire

Yannis P. Korkolis

Ohio State University (OSU)

Yosiyuki Tagawa

affiliation not provided to SSRN

Abstract

Integrated photoelasticity is investigated for a soft material subjected to a three-dimensional stress state with large deformation. Our measurement target is designed based on the three-dimensional Hertzian contact problem, i.e., a solid sphere is pressed against a gelatin gel (Young’s modulus is about 4.2 kPa) with varying applied forces from zero to the maximum force that deforms the gel up to approximately 4.5 mm. The resulting photoelastic parameters (phase retardation and azimuthal angle) in the gel are measured using a polarization camera. The measured retardation and azimuth are compared with the analytical prediction based on Hertzian contact theory. Remarkably, experimental and analytical results of the photoelastic parameters show a reasonable agreement not only in the retardation but also in the azimuth that is related to the direction of principal stresses and but rarely validated in previous studies, is essential for reconstructing three-dimensional stress fields in soft materials. In addition, the stress-optic coefficient of the gelatin gel used is measured to be 3.12×10 -8  1/Pa. Such findings proved that integrated photoelasticity is useful for measuring the three-dimensional stress field in soft materials, which is of importance in biomedical engineering and cell printing applications.

Keywords: Integrated photoelasticity, Soft material, Gelatin, Azimuthal angle, Stress-optic coefficient

Suggested Citation

Yokoyama, Yuto and Mitchell, Benjamin R. and Nassiri, Ali and Kinsey, Brad L. and Korkolis, Yannis P. and Tagawa, Yosiyuki, Integrated Photoelasticity in a Soft Material: Phase Retardation, Azimuthal Angle, and Stress-Optic Coefficient. Available at SSRN: https://ssrn.com/abstract=4171604 or http://dx.doi.org/10.2139/ssrn.4171604

Yuto Yokoyama

Tokyo University of Agriculture and Technology ( email )

2-24-16, Naka-cho
Koganei, Tokyo 184-8588
Japan

Benjamin R. Mitchell

University of New Hampshire ( email )

15 College Road
Durham, NH 03824
United States

Ali Nassiri

affiliation not provided to SSRN ( email )

No Address Available

Brad L. Kinsey

University of New Hampshire ( email )

15 College Road
Durham, NH 03824
United States

Yannis P. Korkolis

Ohio State University (OSU) ( email )

Yosiyuki Tagawa (Contact Author)

affiliation not provided to SSRN ( email )

No Address Available

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