TY - GEN
T1 - EVOLUTION OF THERMOELASTIC STRESSES IN A FINITE-WIDTH SLAB OR THICK CYLINDER WITH A GROWING OR RECEDING BOUNDARY
AU - Kumar, Pavan
AU - Segall, Albert
AU - Drapaca, Corina
N1 - Publisher Copyright:
Copyright © 2024 by ASME.
PY - 2024
Y1 - 2024
N2 - 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.
AB - 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.
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U2 - 10.1115/PVP2024-123419
DO - 10.1115/PVP2024-123419
M3 - Conference contribution
AN - SCOPUS:85210251310
T3 - American Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP
BT - Design and Analysis
PB - American Society of Mechanical Engineers (ASME)
T2 - ASME 2024 Pressure Vessels and Piping Conference, PVP 2024
Y2 - 28 July 2024 through 2 August 2024
ER -