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<p>We study the long-time behavior of solutions to a thermoelastic Timoshenko beam system with dual-phase-lag heat conduction. We prove the existence of solutions and their uniqueness using semigroup methods. Exponential energy decay is shown under the condition 2<i>τ</i><sub>2</sub> &gt; <i>τ</i><sub>1</sub>. The analysis preserves full thermal-mechanical coupling for accurate modeling. Numerical simulations using mixed finite elements in space and a multistep time scheme (FEniCSx) confirm the theoretical energy decay and show how the lag parameters and coupling strength influence the decay rate.</p>

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Stability analysis for a Timoshenko system with generalized thermoelasticity

  • 期刊论文

  • 发表日期：

    2026年4月21日

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  • Hamed Abderrahmane Bouraoui

摘要

We study the long-time behavior of solutions to a thermoelastic Timoshenko beam system with dual-phase-lag heat conduction. We prove the existence of solutions and their uniqueness using semigroup methods. Exponential energy decay is shown under the condition 2τ2 > τ1. The analysis preserves full thermal-mechanical coupling for accurate modeling. Numerical simulations using mixed finite elements in space and a multistep time scheme (FEniCSx) confirm the theoretical energy decay and show how the lag parameters and coupling strength influence the decay rate.