Injective weak solutions in second-gradient nonlinear elasticity
We consider a class of second-gradient elasticity models for which the internal potential energy is taken as the sum of a convex function of the second gradient of the deformation and a general function of the gradient. However, in consonance with classical nonlinear elasticity, the latter is assumed to grow unboundedly as the determinant of the gradient approaches zero. While the existence of a minimizer is routine, the existence of weak solutions is not, and we focus our efforts on that question...
Injective weak solutions in second-gradient nonlinear elasticity
We consider a class of second-gradient elasticity models for which the internal potential energy is taken as the sum of a convex function of the second gradient of the deformation and a general function of the gradient. However, in consonance with classical nonlinear elasticity, the latter is assumed to grow unboundedly as the determinant of the gradient approaches zero. While the existence of a minimizer is routine, the existence of weak solutions is not, and we focus our efforts on that question...
Instability critical loads of the fiber reinforced elastic composites.
Instability, nonexistence, and uniqueness in elasticity with porous dissipation.
Integral Equation Methods in Obstacle Elastic Scattering
Integral representations for the solution of dynamic bending of a plate with displacement-traction boundary data.
Integrated semigroups and integrodifferential equations.
Integration of the EPDiff equation by particle methods
The purpose of this paper is to apply particle methods to the numerical solution of the EPDiff equation. The weak solutions of EPDiff are contact discontinuities that carry momentum so that wavefront interactions represent collisions in which momentum is exchanged. This behavior allows for the description of many rich physical applications, but also introduces difficult numerical challenges. We present a particle method for the EPDiff equation that is well-suited for this class of solutions and...
Integration of the EPDiff equation by particle methods∗∗∗∗∗∗
The purpose of this paper is to apply particle methods to the numerical solution of the EPDiff equation. The weak solutions of EPDiff are contact discontinuities that carry momentum so that wavefront interactions represent collisions in which momentum is exchanged. This behavior allows for the description of many rich physical applications, but also introduces difficult numerical challenges. We present a particle method for the EPDiff equation that...
Integrazione del problema dell'elastostatica nel caso asimmetrico e con coppie di contatto. Applicazione al problema delle piastre
Integrazione del problema dell'elastostatica nel caso asimmetrico e con coppie di contatto. Applicazione al problema delle piastre. IIa parte
Integrity basis for a second-order and a fourth-order tensor.
Interaction between line cracks in an orthotropic layer.
Interaction of compressible flow with an airfoil
The paper is concerned with the numerical solution of interaction of compressible flow and a vibrating airfoil with two degrees of freedom, which can rotate around an elastic axis and oscillate in the vertical direction. Compressible flow is described by the Navier-Stokes equations written in the ALE form. This system is discretized by the semi-implicit discontinuous Galerkin finite element method (DGFEM) and coupled with the solution of ordinary differential equations describing the airfoil motion....
Interaction of incompressible flow and a moving airfoil.
Interface crack problem for electroelastic body.
Interior and exterior solutions for boundary value problems in composite elastic and viscous media.
Internal approximation of quasi-variational inequalities.
Internal constraints and linear constitutive relations for transversely isotropic materials
All internal constraints compatible with transverse isotropy are determined and representation formulae are given for the constitutive relations of arbitrarily constrained, transversely isotropic materials.