ISSN:
1619-6937
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
,
Physics
Notes:
Summary A nonlinear continuum theory based in the foundations of rational mechanics and equally based in a generality of experiments in which a laboratory discovered internal constraint trace V=3 in the domain of finite plastic strain replaces that of incompressibility,III v=1, has been described in a series of earlier papers by Bell. In continuum theory and in experiment, in the presence of the internal constraint trace V=3, measured rigid body rotation at finite plastic strain is minuscule, simple shear is inadmissible, and the predicted significant decrease in volume with increasing plastic strain agrees with experiment. For proportional loading paths, the symmetry and coaxiality of the left Cauchy-Green stretch tensor V and the Bell stress tensor σ has been shown earlier in both continuum theory and continuum experiment to be both symmetric and coaxial and thus to commute, σV=Vσ. In the present paper the same symmetry, coaxiality, and commutation are shown to extend in both general theory and general experiment to non-proportional loading paths.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01187424
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