Correction to “Partial exact controllability and exponential stability in higher-dimensional linear thermoelasticity”
Correction to "Partial Exact Controllability and Exponential Stability in Higher-Dimensional Linear Thermoeleasticity"
Critical points in the energy of hyperelastic materials
Das Gleichgewicht und die Bewegung einer unendlich dünnen, beliebig gekrümmten elastischen Schale.
Das Rand-Anfangswertproblem für quasilineare Wellengleichungen in Sobolevräumen niedriger Ordnung.
Das Torsionsproblem Eines Rechteckigen Rohrs Mit Zwei Rechteckigen Kanälen
Das Torsionsproblem eines rechteckigen Rohrs mit zwei rechteckigen Kanälen.
De la déformation qu'éprouve une pièce à simple ou à double courbure sous l'action de forces qui lui font subir en même temps une flexion et une torsion.
De la résistance au choc d'une chaîne à maillons plats.
Deformazioni finite di blocchi elastici incomprimibili: una soluzione esatta per appoggi in gomma semplicemente compressi
In questo articolo si studia un problema misto al contorno associato con le deformazioni finite di un parallelepipedo elastico incomprimibile, omogeneo ed isotropo. L'analisi è rivolta allo studio degli appoggi in gomma nelle costruzioni. In particolare, usando il metodo semi-inverso, viene fornita una soluzione esatta del problema di equilibrio degli appoggi semplicemente compressi. Inoltre, per ragioni di interesse tecnico, viene proposta una nuova relazione globale «carico-schiacciamento », che...
Densités d'énergie et matériaux cristallins
Die allgemeine Lösung einer zylindrischen Differentialgleichung vierter Ordnung nullten Parameterwertes
Differenzverfahren für Schwingungen mit trockener und zäher Reibung und für Regelungssysteme. -A Finite Difference Method in Forced Vibrations with Combined Viscous and Coulomb Damping and in Feedback Control
Discontinuous Galerkin and the Crouzeix–Raviart element : application to elasticity
We propose a discontinuous Galerkin method for linear elasticity, based on discontinuous piecewise linear approximation of the displacements. We show optimal order a priori error estimates, uniform in the incompressible limit, and thus locking is avoided. The discontinuous Galerkin method is closely related to the non-conforming Crouzeix–Raviart (CR) element, which in fact is obtained when one of the stabilizing parameters tends to infinity. In the case of the elasticity operator, for which the...
Discontinuous Galerkin and the Crouzeix–Raviart element: Application to elasticity
We propose a discontinuous Galerkin method for linear elasticity, based on discontinuous piecewise linear approximation of the displacements. We show optimal order a priori error estimates, uniform in the incompressible limit, and thus locking is avoided. The discontinuous Galerkin method is closely related to the non-conforming Crouzeix–Raviart (CR) element, which in fact is obtained when one of the stabilizing parameters tends to infinity. In the case of the elasticity operator, for...
Distortion of an elastic sphere.
Distribution of resonances for the Neumann problem in linear elasticity outside a ball
Dynamics of shock waves in elastic-plastic solids
The Maxwell type elastic-plastic solids are characterized by decaying the absolute values of the principal components of the deviatoric part of the stress tensor during the plastic relaxation step. We propose a mathematical formulation of such a model which is compatible with the von Mises criterion of plasticity. Numerical examples show the ability of the model to deal with complex physical phenomena.
Effective computation of restoring force vector in finite element method
We introduce a new way of computation of time dependent partial differential equations using hybrid method FEM in space and FDM in time domain and explicit computational scheme. The key idea is quick transformation of standard basis functions into new simple basis functions. This new way is used for better computational efficiency. We explain this way of computation on an example of elastodynamic equation using quadrilateral elements. However, the method can be used for more types of elements and...
Effective energy integral functionals for thin films with bending moment in the Orlicz-Sobolev space setting
In this paper we deal with the energy functionals for the elastic thin film ω ⊂ ℝ² involving the bending moments. The effective energy functional is obtained by Γ-convergence and 3D-2D dimension reduction techniques. Then we prove the existence of minimizers of the film energy functional. These results are proved in the case when the energy density function has the growth prescribed by an Orlicz convex function M. Here M is assumed to be non-power-growth-type and to satisfy the conditions Δ₂ and...