Stability of thermoelastic sliding problem with contact pressure-dependent thermal contact resistance

Yongwoo Lee; Yong Hoon Jang

doi:10.1016/j.ijsolstr.2022.111857

Stability of thermoelastic sliding problem with contact pressure-dependent thermal contact resistance

Yongwoo Lee, Yong Hoon Jang

Department of Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

The sliding contact problem of a rigid indenter over an elastic body with constant temperature difference was investigated using finite element method by considering a contact pressure-dependent thermal resistance. The stability boundary was identified by inspecting the transient contact behaviors, which showed a linear relationship between two nondimensional parameters at the log scale. This proportionality resulted in a nondimensional ratio, which depended on temperature, contact resistance, and sliding speed in the case of unit nondimensional material properties, suggesting “critical temperature difference”. Moreover, the inclusion of Poisson ratio prevented the indefinite bifurcation behavior and led to a finite length scale in the steady state.

Original language	English
Article number	111857
Journal	International Journal of Solids and Structures
Volume	254-255
DOIs	https://doi.org/10.1016/j.ijsolstr.2022.111857
Publication status	Published - 2022 Nov 1

Bibliographical note

Funding Information:
We are pleased to acknowledge support from the National Research Foundation of Korea (NRF) funded by the Korea government (MSIP) (Grant No. 2021R1A2C3010731 ). The authors are grateful for the valuable suggestions of Professor J. R. Barber of the University of Michigan, Ann Arbor.

Funding Information:
We are pleased to acknowledge support from the National Research Foundation of Korea (NRF) funded by the Korea government (MSIP) (Grant No. 2021R1A2C3010731). The authors are grateful for the valuable suggestions of Professor J. R. Barber of the University of Michigan, Ann Arbor.

Publisher Copyright:
© 2022 Elsevier Ltd

All Science Journal Classification (ASJC) codes

Modelling and Simulation
Materials Science(all)
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Applied Mathematics

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10.1016/j.ijsolstr.2022.111857

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title = "Stability of thermoelastic sliding problem with contact pressure-dependent thermal contact resistance",

abstract = "The sliding contact problem of a rigid indenter over an elastic body with constant temperature difference was investigated using finite element method by considering a contact pressure-dependent thermal resistance. The stability boundary was identified by inspecting the transient contact behaviors, which showed a linear relationship between two nondimensional parameters at the log scale. This proportionality resulted in a nondimensional ratio, which depended on temperature, contact resistance, and sliding speed in the case of unit nondimensional material properties, suggesting “critical temperature difference”. Moreover, the inclusion of Poisson ratio prevented the indefinite bifurcation behavior and led to a finite length scale in the steady state.",

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note = "Funding Information: We are pleased to acknowledge support from the National Research Foundation of Korea (NRF) funded by the Korea government (MSIP) (Grant No. 2021R1A2C3010731 ). The authors are grateful for the valuable suggestions of Professor J. R. Barber of the University of Michigan, Ann Arbor. Funding Information: We are pleased to acknowledge support from the National Research Foundation of Korea (NRF) funded by the Korea government (MSIP) (Grant No. 2021R1A2C3010731). The authors are grateful for the valuable suggestions of Professor J. R. Barber of the University of Michigan, Ann Arbor. Publisher Copyright: {\textcopyright} 2022 Elsevier Ltd",

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N2 - The sliding contact problem of a rigid indenter over an elastic body with constant temperature difference was investigated using finite element method by considering a contact pressure-dependent thermal resistance. The stability boundary was identified by inspecting the transient contact behaviors, which showed a linear relationship between two nondimensional parameters at the log scale. This proportionality resulted in a nondimensional ratio, which depended on temperature, contact resistance, and sliding speed in the case of unit nondimensional material properties, suggesting “critical temperature difference”. Moreover, the inclusion of Poisson ratio prevented the indefinite bifurcation behavior and led to a finite length scale in the steady state.

AB - The sliding contact problem of a rigid indenter over an elastic body with constant temperature difference was investigated using finite element method by considering a contact pressure-dependent thermal resistance. The stability boundary was identified by inspecting the transient contact behaviors, which showed a linear relationship between two nondimensional parameters at the log scale. This proportionality resulted in a nondimensional ratio, which depended on temperature, contact resistance, and sliding speed in the case of unit nondimensional material properties, suggesting “critical temperature difference”. Moreover, the inclusion of Poisson ratio prevented the indefinite bifurcation behavior and led to a finite length scale in the steady state.

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Stability of thermoelastic sliding problem with contact pressure-dependent thermal contact resistance

Abstract

Bibliographical note

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