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Keywords:
stability; Timoshenko system; thermoelasticity; dual-phase-lag; Lord-Shulman; Fourier; semigroup theory; energy decay
stability; Timoshenko system; thermoelasticity; dual-phase-lag; Lord-Shulman; Fourier; semigroup theory; energy decay
Summary:
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 $2\tau _2>\tau _1$. 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.
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