About the Lamé system in a polygonal or a polyhedral domain and a coupled problem between the Lamé system and the plate equation. I : regularity of the solutions
About the Lamé system in a polygonal or a polyhedral domain and a coupled problem between the Lamé system and the plate equation. II : exact controllability
An additive Schwarz method for mortar Morley finite element discretizations of 4th order elliptic problem in 2D.
An asymptotic study of a plate problem by a rearrangement method. Application to the mechanical impedance
An asymptotically optimal model for isotropic heterogeneous linearly elastic plates
In this paper, we derive and analyze a Reissner-Mindlin-like model for isotropic heterogeneous linearly elastic plates. The modeling procedure is based on a Hellinger-Reissner principle, which we modify to derive consistent models. Due to the material heterogeneity, the classical polynomial profiles for the plate shear stress are replaced by more sophisticated choices, that are asymptotically correct. In the homogeneous case we recover a Reissner-Mindlin model with as shear correction factor....
An asymptotically optimal model for isotropic heterogeneous linearly elastic plates
In this paper, we derive and analyze a Reissner-Mindlin-like model for isotropic heterogeneous linearly elastic plates. The modeling procedure is based on a Hellinger-Reissner principle, which we modify to derive consistent models. Due to the material heterogeneity, the classical polynomial profiles for the plate shear stress are replaced by more sophisticated choices, that are asymptotically correct. In the homogeneous case we recover a Reissner-Mindlin model with 5/6 as shear correction...
An elastohydrodynamic coupled problem between a piezoviscous Reynolds equation and a hinged plate model
An estimate for deviations from the exact solution of the Reissner-Mindlin plate problem.
An inverse transient thermoelastic problem of a thin annular disc.
Analysis of sectorial plates normally loaded over circular domains. II.
Analysis of Some Low-Order Finite Element Schemes for Mindlin-Reissner and Kirchhoff Plates.
Analyticity of thermo-elastic semigroups with free boundary conditions
Application of Vekua's dimension reduction method to cusped plates and bars.
Applications of a weighted symmetrization inequality to elastic membranes and plates.
Approximation numérique du cisaillement transverse dans les plaques minces en flexion.
Approximation of a Bending Plate Problem With a Boundary Unilateral Constraint.
Approximation of a fourth order variational inequality
Approximation of the vibration modes of a plate coupled with a fluid by low-order isoparametric finite elements
We analyze an isoparametric finite element method to compute the vibration modes of a plate, modeled by Reissner-Mindlin equations, in contact with a compressible fluid, described in terms of displacement variables. To avoid locking in the plate, we consider a low-order method of the so called MITC (Mixed Interpolation of Tensorial Component) family on quadrilateral meshes. To avoid spurious modes in the fluid, we use a low-order hexahedral Raviart-Thomas elements and a non conforming coupling is...
Approximation of the vibration modes of a plate coupled with a fluid by low-order isoparametric finite elements
We analyze an isoparametric finite element method to compute the vibration modes of a plate, modeled by Reissner-Mindlin equations, in contact with a compressible fluid, described in terms of displacement variables. To avoid locking in the plate, we consider a low-order method of the so called MITC (Mixed Interpolation of Tensorial Component) family on quadrilateral meshes. To avoid spurious modes in the fluid, we use a low-order hexahedral Raviart-Thomas elements and a non conforming coupling...
Artificial small parameter method-solving mixed boundary value problems.