Strong solutions of nonlinear equations of vibrations of shells
Strong unique continuation for the Lamé system with Lipschitz coefficients in three dimensions
This paper studies the strong unique continuation property for the Lamé system of elasticity with variable Lamé coefficients λ, µin three dimensions, whereλ and μ are Lipschitz continuous and V∈L∞. The method is based on the Carleman estimate with polynomial weights for the Lamé operator.
Strong unique continuation for the Lamé system with Lipschitz coefficients in three dimensions*
This paper studies the strong unique continuation property for the Lamé system of elasticity with variable Lamé coefficients λ, µ in three dimensions, where λ and μ are Lipschitz continuous and V∈L∞. The method is based on the Carleman estimate with polynomial weights for the Lamé operator.
Structural optimization using topological and shape sensitivity via a level set method
Structure of stable solutions of a one-dimensional variational problem
We prove the periodicity of all H2-local minimizers with low energy for a one-dimensional higher order variational problem. The results extend and complement an earlier work of Stefan Müller which concerns the structure of global minimizer. The energy functional studied in this work is motivated by the investigation of coherent solid phase transformations and the competition between the effects from regularization and formation of small scale structures. With a special choice of a bilinear double...
Structures de variétés bimodelées et dynamique analytique des milieux continus
Study of a boundary layer problem in elastic composite materials
Study of a contact problem with normal compliance and nonlocal friction
We consider a static frictional contact between a nonlinear elastic body and a foundation. The contact is modelled by a normal compliance condition such that the penetration is restricted with unilateral constraint and associated to the nonlocal friction law. We derive a variational formulation and prove its unique weak solvability if the friction coefficient is sufficiently small. Moreover, we prove the continuous dependence of the solution on the contact conditions. Also we study the finite element...
Study of a viscoelastic frictional contact problem with adhesion
We consider a quasistatic frictional contact problem between a viscoelastic body with long memory and a deformable foundation. The contact is modelled with normal compliance in such a way that the penetration is limited and restricted to unilateral constraint. The adhesion between contact surfaces is taken into account and the evolution of the bonding field is described by a first order differential equation. We derive a variational formulation and prove the existence and uniqueness result of the...
Study of the optimal control for a problem of elastic torsion. (Étude du contrôle optimal pour un problème de torsion élastique.)
Su alcune classi di potenziali termodinamici come conseguenza dell'esistenza di particolari onde di discontinuità nella meccanica dei continui con deformazioni finite
Su l'esistenza della soluzione per la flessione delle piastre elastiche micropolari
Su un particolare vincolo interno superficiale per solidi termoelastici
In questo lavoro si ricavano alcuni risultati fondamentali che caratterizzano il comportamento termoelastico di solidi definiti da equazioni costitutive alquanto generali in presenza di un vincolo interno superficiale. Con tale vincolo si suppone che durante ogni processo esiste una famiglia di superfici la cui dilatazione superficiale è unitaria nel caso di vincolo puramente meccanico, ed è invece una funzione nota della temperatura nell'ipotesi più generale di vincolo termomeccanico.
Sufficient conditions for the validity of the Cauchy-Born rule close to
The Cauchy–Born rule provides a crucial link between continuum theories of elasticity and the atomistic nature of matter. In its strongest form it says that application of affine displacement boundary conditions to a monatomic crystal will lead to an affine deformation of the whole crystal lattice. We give a general condition in arbitrary dimensions which ensures the validity of the Cauchy–Born rule for boundary deformations which are close to rigid motions. This generalizes results of Friesecke...
Sugli atti di moto, eventualmente isocori, più rigidi possibile
Sui continui di Cosserat con rotazioni libere
Sui fondamenti della termomeccanica dei continui polari
Sui materiali elastici con memoria
Viene esposto il punto di vista dell'autore rispetto ai modelli matematici dell'elasticità ereditaria. Particolare rilievo viene dato all'influenza della topologia dello spazio delle funzioni ammissibili sui concetti fondamentali della teoria.
Sui teoremi di reciprocità dell'elasticità lineare classica in domini non limitati
We extend the well-known reciprocal theorems of linear elasticity to unbounded domains. The theorems do not require that the elastic body is isotropic and homogeneous.
Sul principio della memoria evanescente