Thermodynamics of monopolar continuum of grade
Thermoelastic equilibrium of bodies in generalized cylindrical coordinates.
Thermoelastic wave propagation in a rotating elastic medium without energy dissipation.
Thermoelastic waves in an infinite solid caused by a line heat source.
Thermoelastic waves without energy dissipation in an unbounded body with a spherical cavity.
Thermoelasticity of Dipolar Bodies with Internal State Variables
Thermoelasticity without energy dissipation for initially stressed bodies.
Thermomechanical constraints and constitutive formulations in thermoelasticity.
Thermo-viscoelastic Rayleigh waves under the influence of couple-stress and gravity.
Thermo-visco-elasticity with rate-independent plasticity in isotropic materials undergoing thermal expansion
We consider a viscoelastic solid in Kelvin-Voigt rheology exhibiting also plasticity with hardening and coupled with heat-transfer through dissipative heat production by viscoplastic effects and through thermal expansion and corresponding adiabatic effects. Numerical discretization of the thermodynamically consistent model is proposed by implicit time discretization, suitable regularization, and finite elements in space. Fine a-priori estimates are derived, and convergence is proved by careful successive...
Thermo-visco-elasticity with rate-independent plasticity in isotropic materials undergoing thermal expansion*
We consider a viscoelastic solid in Kelvin-Voigt rheology exhibiting also plasticity with hardening and coupled with heat-transfer through dissipative heat production by viscoplastic effects and through thermal expansion and corresponding adiabatic effects. Numerical discretization of the thermodynamically consistent model is proposed by implicit time discretization, suitable regularization, and finite elements in space. Fine a-priori estimates are derived, and convergence is proved by careful...
Thick obstacle problems with dynamic adhesive contact
In this work, we consider dynamic frictionless contact with adhesion between a viscoelastic body of the Kelvin-Voigt type and a stationary rigid obstacle, based on the Signorini's contact conditions. Including the adhesion processes modeled by the bonding field, a new version of energy function is defined. We use the energy function to derive a new form of energy balance which is supported by numerical results. Employing the time-discretization, we establish a numerical formulation and investigate...
Thin circular plate uniformly loaded over a concentric elliptic path and supported on columns.
Thin inclusions in linear elasticity: a variational approach.
Three models of non periodic fibrous materials obtained by homogenization
Three-dimensional boundary value problems of elastothermodiffusion with mixed boundary conditions.
Three-dimensional mathematical problems of thermoelasticity of anisotropic bodies. II.
Three-dimensional mathematical problems of thermoelasticity of anisotropic bodies. I.
Time domain simulation of a piano. Part 1: model description
The purpose of this study is the time domain modeling of a piano. We aim at explaining the vibratory and acoustical behavior of the piano, by taking into account the main elements that contribute to sound production. The soundboard is modeled as a bidimensional thick, orthotropic, heterogeneous, frequency dependent damped plate, using Reissner Mindlin equations. The vibroacoustics equations allow the soundboard to radiate into the surrounding air, in which we wish to compute the complete acoustical...
Time splitting for wave equations in random media
Numerical simulation of high frequency waves in highly heterogeneous media is a challenging problem. Resolving the fine structure of the wave field typically requires extremely small time steps and spatial meshes. We show that capturing macroscopic quantities of the wave field, such as the wave energy density, is achievable with much coarser discretizations. We obtain such a result using a time splitting algorithm that solves separately and successively propagation and scattering in the simplified...