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Experimental stress analysis by photo-rheologic method

The stress state in bodies subjected to plastic work or creep deformation is determined by relating the stress and stress rate in the element of the body to the strain rate consisting of elastic, instantaneous plastic and viscous strain rates

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Abstract

In the photo-rheologic method used in this paper, the time-dependent creep strain rate and the instantaneous elastic-plastic strain rate are considered. Unlike ordinary photoplasticity, the strain history and the time dependence are accounted for in this stress analysis by characteristic values independent of strain rate. This method is also suitable for analyzing finite deformations.

Using this method, the time-dependent deformations and stresses in a body can be analyzed with the same accuracy as photoelasticity from the instant of loading to the static-equilibrium state during plastic flow or creep. Fundamental concepts and procedures are described. Two examples are used to demonstrate possible applications of this method.

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Abbreviations

B 0 ,b, G, k, n, α:

characteristic values in the loading process

C 1 throughC 6 :

optical coefficients

N :

fringe order per unit thickness

r :

reduction ratio of strip specimen

t :

time

t * :

time at the beginning of unloading

v :

speed of strip specimen (mm/min)

\(\varepsilon _1 ,\varepsilon _2 \) :

principal strain components

\(\Delta \varepsilon = \varepsilon _1 - \varepsilon _2 \) :

principal strain difference

\(\Delta _{\varepsilon _p } \) :

viscoplastic principal strain difference

\(\dot \varepsilon _{ij} \) :

components of strain rate

\(\sigma _1 ,\sigma _2 \) :

principal stress components

\(\sigma _3 \) :

principal stress components normal to plane

\(\Delta \sigma = \sigma _1 - \sigma _2 \) :

principal stress difference

\(\dot \sigma _{ij} \) :

components of stress rate

\(\sigma _n \) :

normal stress on the contact surface (kg/mm2)

\(\tau _n \) :

shear stress on the contact surface (kg/mm2) and A bar over the symbol denotes the variable in the unloading process; A dot over the symbol denotes the time rate of the variable

References

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Authors and Affiliations

  1. Department of Mechanical Engineering, Faculty of Engineering, Nagoya University, Chikusa-ku, Nagoya, Japan

    Yoshio Ohashi (Professor)

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  1. Yoshio Ohashi
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Ohashi, Y. Experimental stress analysis by photo-rheologic method. Experimental Mechanics 13, 287–293 (1973). https://doi.org/10.1007/BF02322725

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  • DOI: https://doi.org/10.1007/BF02322725

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