A generalized thermoelastic problem with nonlocal effect and memory-dependent derivative when subjected to a moving heat source

DOI10.1080/17455030.2018.1490043zbMath1505.74129OpenAlexW2810888449MaRDI QIDQ5104291

Pei Zhang, Tianhu He

Publication date: 9 September 2022

Published in: Waves in Random and Complex Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17455030.2018.1490043

zbMATH Keywords

Laplace transformkernel functionnumerical inversiontime-delay factorfinite thermoelastic rod

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Thermodynamics in solid mechanics (74A15) Thermal effects in solid mechanics (74F05) Applications of fractional calculus in solid mechanics (74S40)

Related Items (9)

Nonlocal thermoelastic analysis of a functionally graded material microbeam ⋮ Effect of nonlocality in the vibration of a microscale ribbon due to laser pulse ⋮ Thermoelastic damping in a micro-beam based on the memory-dependent generalized thermoelasticity ⋮ A modified fractional-order thermo-viscoelastic model and its application to a polymer micro-rod heated by a moving heat source ⋮ Exact solutions for size-dependent bending of Timoshenko curved beams based on a modified nonlocal strain gradient model ⋮ Effect of nonlocality and memory responses in the thermoelastic problem with a Mode I crack ⋮ Transient responses in a two‐temperature thermoelastic infinite medium having cylindrical cavity due to moving heat source with memory‐dependent derivative ⋮ Three-dimensional nonlocal thermoelasticity in orthotropic medium based on Eringen’s nonlocal elasticity ⋮ A fractional-order thermoviscoelastic analysis of a micro-rod heated by an ultrashort laser pulse heating

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