Discrete models of coupled dynamic thermoelasticity for stress-temperature formulations.

DOI10.1016/S0096-3003(00)00026-6zbMath1058.74029OpenAlexW2038977621WikidataQ127012856 ScholiaQ127012856MaRDI QIDQ1855021

Roderick V. Nicholas Melnik

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(00)00026-6

zbMATH Keywords

convergenceweak solutionsnon-smooth solutionsoperator-difference schemes

Mathematics Subject Classification ID

Thermal effects in solid mechanics (74F05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Existence of solutions of dynamical problems in solid mechanics (74H20)

Related Items (11)

Influence of boundary conditions on the solution of a hyperbolic thermoelasticity problem ⋮ Shock-induced thermoelastic wave propagation analysis in a thick hollow cylinder without energy dissipation using mesh-free generalized finite difference (GFD) method ⋮ Meshless local Petrov-Galerkin method for coupled thermoelasticity analysis of a functionally graded thick hollow cylinder ⋮ Mixed electroelastic waves and CFL stability conditions in computational piezoelectricity. ⋮ Transient analysis of thermo-elastic waves in thick hollow cylinders using a stochastic hybrid numerical method, considering Gaussian mechanical properties ⋮ Optimized control of field current in thermoelastic actuator for accurate setting of position ⋮ Differential-algebraic approach to coupled problems of dynamic thermoelasticity ⋮ Application of a hybrid meshless technique for natural frequencies analysis in functionally graded thick hollow cylinder subjected to suddenly thermal loading ⋮ Computational analysis of coupled physical fields in piezothermoelastic media. ⋮ Two-Dimensional Mixed Problem of Thermoelasticity for a Semistrip ⋮ On Generalized Magneto-thermoelastic Rayleigh Waves in a Granular Medium Under the Influence of a Gravity Field and Initial Stress

Cites Work

• Recent mathematical methods in nonlinear wave propagation. Lectures given at the 1st session of the Centro Internazionale Matematico Estivo (CIME), Montecatini Terme, Italy, May 23--31, 1994
• Some theorems in generalized nonlocal thermoelasticity
• Boundary layers in finite thermoelasticity
• Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
• Large solutions and smoothing properties for nonlinear thermoelastic systems
• Representation and approximation of the solution of an initial value problem for a first order differential equation in Banach spaces
• Inéquations en thermoélasticité et magnétohydrodynamique
• Convergence of the operator-difference scheme to generalized solutions of a coupled field theory problem
• A Method for Solving Initial Value Problems for Linear Differential Equations in Hilbert Space Based on The Cayley Transform
• Singular Perturbations and the Coupled/Quasi-Static Approximation in Linear Thermoelasticity
• On consistent regularities of control and value functions
• Asymptotic stability and global existence in thermoelasticity with symmetry
• The Stability Condition and Energy Estimate for Nonstationary Problems of Coupled Electroelasticity
• The Solution of Nonstrictly Hyperbolic Conservation Laws May Be Hard to Compute
• Linear analysis of the hydrodynamic model
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Discrete models of coupled dynamic thermoelasticity for stress-temperature formulations.