On the decay rates of porous elastic systems
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Publication:526400
DOI10.1007/s10659-016-9597-yzbMath1366.35188OpenAlexW2529019507MaRDI QIDQ526400
Publication date: 12 May 2017
Published in: Journal of Elasticity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10659-016-9597-y
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elasticity (74B20) Bulk waves in solid mechanics (74J10) Thermal effects in solid mechanics (74F05) Finite difference methods applied to problems in solid mechanics (74S20) PDEs in connection with mechanics of deformable solids (35Q74)
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Cites Work
- Unnamed Item
- Analyticity in porous-thermoelasticity with microtemperatures
- On the decay of solutions for porous-elastic systems with history
- The stability number of the Timoshenko system with second sound
- Optimal polynomial decay of functions and operator semigroups
- Exponential decay in one-dimensional porous-thermo-elasticity
- A nonlinear theory of elastic materials with voids
- Energy decay for Timoshenko systems of memory type.
- Slow decay for one-dimensional porous dissipation elasticity
- Mildly dissipative nonlinear Timoshenko systems -- global existence and exponential stability.
- Stability to 1-D thermoelastic Timoshenko beam acting on shear force
- Conservative semidiscrete difference schemes for Timoshenko systems
- On the time decay of solutions in one-dimensional theories of porous materials
- On the time polynomial decay in elastic solids with voids
- Uniform boundary controllability of a discrete 1-D wave equation
- A continuum theory for granular materials
- Stability to weakly dissipative Timoshenko systems
- On the Spectrum of C 0 -Semigroups
- A mixed time integration method for Timoshenko and Mindlin type elements
- Spectral Theory for Contraction Semigroups on Hilbert Space
- Numerical stability of a variable time step explicit method for Timoshenko and Mindlin type structures
- Stabilisation de la poutre de Timoshenko
- Stability to the dissipative Reissner–Mindlin–Timoshenko acting on displacement equation
- On the Behavior of a Numerical Approximation to the Rotatory Inertia and Transverse Shear Plate
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