Abstract

From the 1870s to the present, basic tenets of most theories of plasticity in ordered solids have included the assumption of incompressibility as an internal constraint, the tacit belief that rigid body rotations become large as the finite strain increases, the historical misinterpretation of the location and stress configuration of Tresca's observations for his domain of constant stress, and the unquestioned foregone conclusion that simple shear is always a permissible form of deformation. The laboratory finding in the 1970s that an internal constraint very different from incompressibility applies at finite strain in ordered solids and, with respect to all of the above, the general theory of finite strain plasticity that followed from this laboratory discovery in the 1980s, have raised questions that are described in the present paper. As illustrative, the definitive experiment of P. W. Bridgman in 1946 on the two-dimensional compression of steel is compared with its restudy in more comprehensive detail during the 1980s.

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