Strength of Low-Dimensional Objects

• Published in: Russian metallurgy Metally Vol. 2018; no. 4; pp. 303 - 315
• Main Authors: Vorob’ev, E. E., Shtremel’, M. A.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01-04-2018; Springer Nature B.V
• Subjects: Bearing capacity; Chemistry and Materials Science; Curvature; Elastic limit; Filaments; Materials Science; Metallic Materials; Physical Foundations of Strength and Plasticity; Stability; Tubes; Twisting; Viscoelasticity; spheres; low dimension; shells of revolution; formation energy; elastic instability; plastic folds
• ISSN: 0036-0295; 1555-6255; 1531-8648
• DOI: 10.1134/S0036029518040201

Filaments, films, tubes, membranes, and shells are considered as a general class of low-dimensional objects, the thickness of which is much smaller than their length and possible displacements. The strength of such materials almost achieved the theoretical limit, and their bearing capacity is restricted by macroscopic elastic (or viscoelastic) loss of stability rather than fracture. The generality of the phenomena of the loss of bearing capacity in low-dimensional objects and elastic (or viscoelastic) instability and its modes (wrinkles and focuses in twisting of a wire and a ribbon and in buckling, corrugation, curvature condensation of tubes and shells and plastic folds in flicking) is analyzed.