Tin melting: Effect of grid size and scheme on the numerical solution.
Topological asymptotic analysis of the Kirchhoff plate bending problem
The topological asymptotic analysis provides the sensitivity of a given shape functional with respect to an infinitesimal domain perturbation, like the insertion of holes, inclusions, cracks. In this work we present the calculation of the topological derivative for a class of shape functionals associated to the Kirchhoff plate bending problem, when a circular inclusion is introduced at an arbitrary point of the domain. According to the literature, the topological derivative has been fully developed...
Topological asymptotic analysis of the Kirchhoff plate bending problem
The topological asymptotic analysis provides the sensitivity of a given shape functional with respect to an infinitesimal domain perturbation, like the insertion of holes, inclusions, cracks. In this work we present the calculation of the topological derivative for a class of shape functionals associated to the Kirchhoff plate bending problem, when a circular inclusion is introduced at an arbitrary point of the domain. According to the literature, the topological derivative has been fully developed...
Topological derivative for linear elastic plate bending problems
Topological sensitivity analysis for elliptic problems on graphs
Topology optimization - broadening the areas of application
Topology optimization of quasistatic contact problems
This paper deals with the formulation of a necessary optimality condition for a topology optimization problem for an elastic contact problem with Tresca friction. In the paper a quasistatic contact model is considered, rather than a stationary one used in the literature. The functional approximating the normal contact stress is chosen as the shape functional. The aim of the topology optimization problem considered is to find the optimal material distribution inside a design domain occupied by the...
Topology optimization of systems governed by variational inequalities
This paper deals with the formulation of the necessary optimality condition for a topology optimization problem of an elastic body in unilateral contact with a rigid foundation. In the contact problem of Tresca, a given friction is governed by an elliptic variational inequality of the second order. The optimization problem consists in finding such topology of the domain occupied by the body that the normal contact stress along the contact boundary of the body is minimized. The topological derivative...
Torsional and longitudinal vibration of suspension bridge subject to aerodynamic forces.
Torsional instabilities of Greenhill type in elastic rods
Torsional rigidity of circular sectors bars.
Torsional vibrations of nonhomogeneous magnetostrictive elastic circular cylinder.
Toward the description in a smooth topos of the dynamically possible motions and deformations of a continuous body
Towards a theory of second grade thermoelasticity.
Towards a two-scale calculus
We define and characterize weak and strong two-scale convergence in Lp, C0 and other spaces via a transformation of variable, extending Nguetseng's definition. We derive several properties, including weak and strong two-scale compactness; in particular we prove two-scale versions of theorems of Ascoli-Arzelà, Chacon, Riesz, and Vitali. We then approximate two-scale derivatives, and define two-scale convergence in spaces of either weakly or strongly differentiable functions. We also derive...
Towards an analytical mechanics of dissipative materials.
Tracking control of a flexible beam by nonlinear boundary feedback.
Tracking control of a vibrating string with an interior mass viewed as delay system
Tracking control of a vibrating string with an interior mass viewed as delay system
A vibrating string, modelled by the wave equation, with an interior mass is considered. It is viewed as a linear delay system. A trajectory tracking problem is solved using a new type of controllability.
Transient disturbances in a relaxing thermoelastic half space due to moving internal heat source.