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On the nature of tension finiteness in the planar problem of the nonlinear elasticity theory. (English. Russian original) Zbl 0836.73012
Phys.-Dokl. 39, No. 6, 455-456 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 336, No. 6, 769-770 (1994).
Some earlier papers by the same author demonstrated that the use of the conventional stresses has significant advantages over the true ones in various problems of mechanics. One of the main arguments in favor of the use of true stresses is their finiteness in critical points such as edges of fractures, etc. Here, the author shows this argument to be groundless and reveals the nature of the finiteness of true stresses.
74B20 Nonlinear elasticity
74S30 Other numerical methods in solid mechanics (MSC2010)