A numerical study on frictional shakedown in large-scale three-dimensional conforming elastic contacts. (15th May 2021)

• Record Type: Journal Article
• Authors: Spagnoli, A.; Beccarelli, G.; Terzano, M.; Barber, J.R.
• Is Part Of: International journal of solids and structures. Volume 217/218(2021)
• Page Start: 1
• Page End: 14
• Publication Date: 2021-05-15
• Subjects: Shakedown -- Friction -- Contact -- Limit analysis -- Linear programming; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2021.01.024
• Languages: English
• ISSNs: 0020-7683

Abstract

Abstract: When subjected to cyclic loading, complete contacts with à la Coulomb friction may sometimes develop a favourable situation where slips cease after a few cycles, an occurrence commonly known as frictional shakedown. However, if the amplitude of the cyclic load is greater than a so-called shakedown limit, the system is unable to adapt and indefinitely persists in a dissipative state. In this paper, we present a comprehensive theoretical and numerical analysis of the shakedown in three-dimensional elastic systems with conforming frictional interfaces. In a discrete framework, the limit states of the frictional system are investigated through two distinct approaches: incremental analysis based on a novel Gauss–Seidel algorithm, which allowed us to explore the whole transient response under a given cyclic loading scenario, and a linear optimisation algorithm to directly determine the stick and shakedown limits. Illustrative examples, ranging from a single-node model to multi-node systems with both coupled and uncoupled contacts, are discussed.