Analytic solution and numerical validation of the transient regime in dry surface grinding

DOI10.1007/s10665-023-10295-2zbMath1528.35198OpenAlexW4386988513MaRDI QIDQ6062944

J. L. González-Santander

Publication date: 6 November 2023

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-023-10295-2

zbMATH Keywords

thermal damagetransient regimedry surface grinding

Mathematics Subject Classification ID

Heat equation (35K05) Analyticity in context of PDEs (35A20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Classical operational calculus (44A45)

Cites Work

• Calculation of an integral arising in dry flat grinding for a general heat flux profile. Application to maximum temperature evaluation
• Mathematical modelling and analytical solution for workpiece temperature in grinding
• A theorem for finding maximum temperature in wet grinding
• On the Lambert \(w\) function
• Analytic solution for maximum temperature during cut in and cut out in surface dry grinding
• Efficient temperature field evaluation in wet surface grinding for arbitrary heat flux profile
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