EVOLUTION OF THERMOELASTIC STRESSES IN A FINITE-WIDTH SLAB OR THICK CYLINDER WITH A GROWING OR RECEDING BOUNDARY

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Semi-analytical thermoelastic stress solutions for a single phase, homogeneous, and finite-width slab or thick cylinder with a constant-velocity growing or receding boundary under Unit-Loading were derived. Initially, a semi-analytical solution for the heat equation for a slab with a growing or receding boundary was derived in the Laplace domain and a series representation then used to approximate the inverse Laplace transform in the time domain. Conformal mapping was then used to transform the slab solution to an annulus. The resulting semi-analytical solutions were then used with established integral elasticity-equations to determine the resulting transient stress-states. All solutions allow for convection on the fixed boundary that is the opposite side for a plate and outer radius for the cylinder. Once derived, the semi-analytical stress predictions were compared to finite-element simulations with excellent agreement. Given the changing thickness, both the thermal and stress-states cannot reach true steady-state equilibrium, especially for faster growth or recession rates. Indeed, the temperature states and resulting stresses become somewhat linear with respect to time, reflecting the constant velocity of growth or recession. In practice, the resulting solutions can be used to determine transient stresses during machining, wear, erosion, corrosion, and/or additive manufacturing, especially for lower temperature solid-state methods such as cold-spray.

Original languageEnglish (US)
Title of host publicationDesign and Analysis
PublisherAmerican Society of Mechanical Engineers (ASME)
ISBN (Electronic)9780791888483
DOIs
StatePublished - 2024
EventASME 2024 Pressure Vessels and Piping Conference, PVP 2024 - Bellevue, United States
Duration: Jul 28 2024Aug 2 2024

Publication series

NameAmerican Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP
Volume2
ISSN (Print)0277-027X

Conference

ConferenceASME 2024 Pressure Vessels and Piping Conference, PVP 2024
Country/TerritoryUnited States
CityBellevue
Period7/28/248/2/24

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering

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