Mathematical theories for two classes of thermoelastic contact problems. (15th October 2022)

• Record Type: Journal Article
• Authors: Howell, Peter; Ockendon, John; Shillor, Meir
• Is Part Of: International journal of solids and structures. Volume 253(2022)
• Publication Date: 2022-10-15
• Subjects: Contact conditions -- Wear -- Mathematical analysis -- Asymptotic analysis; 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.2022.111468
• Languages: English
• ISSNs: 0020-7683

Abstract

Abstract: This paper reviews some of the mathematical research that has been inspired by Jim Barber's pioneering experimental and theoretical work on thermoelastic contact problems. The first part considers rod-contact problems in the absence of wear, but allowing for elastic waves, and the second part focuses on the effect of wear over time-scales when elastic waves are negligible.