Shakedown in frictional contact of discrete elastic systems: A review
- Authors
- Ahn, Y.J.; Klarbring, A.; Spagnoli, A.; Terzano, M.
- Issue Date
- 1-Apr-2022
- Publisher
- Elsevier Ltd
- Keywords
- Contact; Friction; Incremental analysis; Limit analysis; Linear programming; Shakedown
- Citation
- International Journal of Solids and Structures, v.241
- Journal Title
- International Journal of Solids and Structures
- Volume
- 241
- URI
- https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/26755
- DOI
- 10.1016/j.ijsolstr.2022.111470
- ISSN
- 0020-7683
- Abstract
- When exposed to cyclic quasi-static loading, elastic bodies in contact may develop a favourable condition where slip ceases after a few cycles, an occurrence commonly known as frictional shakedown. If the amplitude of the cyclic load is greater than a so-called shakedown limit, shakedown cannot occur. In this review paper, the validity of shakedown theorems in the context of conforming contacts with à la Coulomb friction is first discussed. Then, an optimisation method for determining the shakedown limit of elastic discrete three-dimensional systems is reviewed. Finally, an incremental Gauss–Seidel algorithm, extended to three-dimensional systems, is here illustrated in details for the first time. The algorithm allows us to describe the transient response of normal-tangential coupled systems under a given cyclic loading scenario, and to determine their possible shakedown depending on the initial conditions. An example concerning a discrete conforming contact problem, where either coupling or uncoupling conditions can be imposed, is illustrated. © 2022 Elsevier Ltd
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Collections - College of Science and Technology > Department of Mechanical and Design Engineering > 1. Journal Articles
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