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Two classes of basic extensions of classical \(J_2\) theory have been proposed: one with increments in higher order stresses related to increments of strain gradients and the other characterized by the higher order stresses themselves expressed in terms of increments of strain gradients.
A modification of the Fleck-Hutchinson formulation that ensures its thermodynamic integrity is presented and contrasted with a comparable formulation of the second class where in the higher order stresses are expressed in terms of the plastic strain rate.
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The other approach, concerned with "Faith and Order," stressed the need for comparative study of doctrine, with critical devotion to the search for what was central.
The concept of serial order stressed by geometry, in which the reasoner passes deductively from the universal (axioms) to the particular (theorems), influenced, in turn, the style of Hobbes, Descartes, and Spinoza.
The top of the order stressed LeBlanc.
On 12 December 1922 he issued a general order, stressing the need for the military to stay out of politics.
A relation between standard stresses and higher-order stresses is derived and used to make an interpretation of the higher-order stresses.
Finally, the influence of different parameters characterizing elastoplastic deformation on the second-order stresses was studied.
The gradient effects are accounted for by incorporating strain gradients and their conjugate higher-order stresses into the constitutive descriptions.
In order to study the effect of dissipative higher-order stresses, the mechanical response under non-proportional loading is also investigated.
A weak-form variational principle is employed to address the additional boundary conditions introduced by the incorporation of the strain gradients and the conjugate higher-order stresses.
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