Engineering Transactions, 20, 1, pp. 19–25, 1972

Związki Fizyczne Materiału Sprężystego Odcinkami Liniowego

A. Szweycer
Instytut Podstawowych Problemów Techniki, Warszawa

Z. Wesołowski
Instytut Podstawowych Problemów Techniki, Warszawa

The six-dimensional space of stresses is divided into a certain number of disjunct regions. Each of the regions is characterized by a different linear stress-strain relation. The continuity of these relations requires the boundaries of the regions to be five-dimensional hyperplanes. Equations of these hyperplanes are found as a]so the admissible jumps of elastic constants in the case of a general symmetry and for an isotropic body. It is shown that no three region can be conterminous with each other. The resulting equations may be derived by means of a mirror image from the equations which have been previously published by one of the authors.
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Z. WESOŁOWSKI, Piecewise linear elastic material, Arch. Mech. Stos., 22, 3, 1970.

Z. WESOŁOWSKI, Elastic material with different elastic constants in two regions of variability of deformation, Arch. Mech. Stos., 21, 4, 1969.