On stable deformation of ``unstable'' materials in a rigid triaxial testing machineстатья
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Аннотация:Realizability of the process of uniform supercritical deformation of specimens under testing is examined. Realizability is identified with stability of the process in the sense of Drucker's postulate. Specimen configuration and the boundary conditions adopted are idealizations of those that apply to actual rigid triaxial testing machines. The analysis is based on a theorem, proved here, of Van Hove's type. It is shown that a process of uniform supercritical deformation of homogeneous orthotropic specimens with symmetric moduli tensors in the ideal machine of the type considered is stable in Drucker's sense and unique up to violation of Hadamard's condition (i.e. up to the absolute bound for theoretically admissible material states).