Stability of hybrid time integration scheme for Lord-Shulman thermopiezoelectricity

DOI10.1016/J.RINAM.2024.100467MaRDI QIDQ6618267

Heorhiy Shynkarenko, Vitalii Stelmashchuk

Publication date: 14 October 2024

Published in: Results in Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite element methodvariational problemenergy balance lawLord-Shulman thermopiezoelectricitystability of time integration scheme

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Thermal effects in solid mechanics (74F05) Electromagnetic effects in solid mechanics (74F15)

Cites Work

• Title not available (Why is that?)
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• A generalized dynamical theory of thermoelasticity
• Analysis of thermo-electro-mechanical dynamic behavior of piezoelectric structures based on zonal Galerkin free element method
• Finite Element Analysis of Dynamic Coupled Thermoelasticity Problems With Relaxation Times
• Implicit-Explicit Finite Elements in Transient Analysis: Stability Theory
• Efficient time-domain finite element analysis for dynamic coupled thermoelasticity
• Finite Element Algorithm for Dynamic Thermoelasticity Coupling Problems and Application to Transient Response of Structure with Strong Aerothermodynamic Environment
• Dynamic response of a piezoelectric quasicrystal rod with the generalized thermoelasticity

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