Existence and uniqueness of the solution to a 3D thermoviscoelastic system.
Existence theorem for nonlinear micropolar elasticity
In this paper we give an existence theorem for the equilibrium problem for nonlinear micropolar elastic body. We consider the problem in its minimization formulation and apply the direct methods of the calculus of variations. As the main step towards the existence theorem, under some conditions, we prove the equivalence of the sequential weak lower semicontinuity of the total energy and the quasiconvexity, in some variables, of the stored energy function.
Existence theorem in the linear theory of multipolar elasticity
Extended continuum mechanics for the study of granular flows
We exploit a recent proposal of an «extended kinematics» to describe fast flows of granular materials. Prompted by some remarks in elementary point dynamics, we suggest balance laws which might be of use in studying the evolution of those flows.
Extended irreversible thermodynamics in hypoelasticity
The constitutive equations of rate type for a class of thermo-hypo-elastic materials are derived within the framework of the extended irreversible thermodynamics.
Fading memory spaces and approximate cycles in linear viscoelasticity
Finite element analysis of the Signorini problem in semi-coercive cases
The plane Signorini problem is considered in the cases, when there exist non-trivial rigid admissible displacements. The existence and uniqueness of the solution and the convergence of piecewise linear finite element approximations is discussed.
Forced vibrations in one-dimensional nonlinear thermoelasticity as a local coercive-like problem
Formulazione relativa delle leggi di evoluzione di un sistema continuo in relatività generale. Nota II
Formulazione relativa delle leggi di evoluzione di un sistema continuo in relatività generale
Frame Indifference
It is shown, in the context of the Thermomechanics of simple materials with memory, that frame indifference and, equivalently, rotation invariance are necessary consequences of the laws of classical Mechanics and the definition of the stress matrix and heat flux vector.
General and physically privileged solutions to certain symmetric systems of linear P.D.E.s with tensor functionals as unknowns
We characterize the general solutions to certain symmetric systems of linear partial differential equations with tensor functionals as unknowns. Then we determine the solutions that are physically meaningful in suitable senses related with the constitutive functionals of two simple thermodynamic bodies with fading memory that are globally equivalent, i.e. roughly speaking that behave in the same way along processes not involving cuts. The domains of the constitutive functionals are nowhere dense...
Generalised functions of bounded deformation
We introduce the space of generalized functions of bounded deformation and study the structure properties of these functions: the rectiability and the slicing properties of their jump sets, and the existence of their approximate symmetric gradients. We conclude by proving a compactness results for , which leads to a compactness result for the space of generalized special functions of bounded deformation. The latter is connected to the existence of solutions to a weak formulation of some variational...
Generalized solutions to linearized equations of thermoelastic solid and viscous thermofluid.
Generators of hyperbolic heat equation in nonlinear thermoelasticity
Geometrische Krystallographie [Book]
Global dynamics of media with microstructure.
Global existence of solutions of the equations of one-dimensional thermoviscoelasticity with initial data in and
Global in time solvability of the initial boundary value problem for some nonlinear dissipative evolution equations
The global in time solvability of the one-dimensional nonlinear equations of thermoelasticity, equations of viscoelasticity and nonlinear wave equations in several space dimensions with some boundary dissipation is discussed. The blow up of the solutions which might be possible even for small data is excluded by allowing for a certain dissipative mechanism.
Gradient theory for plasticity via homogenization of discrete dislocations
We deduce a macroscopic strain gradient theory for plasticity from a model of discrete dislocations. We restrict our analysis to the case of a cylindrical symmetry for the crystal under study, so that the mathematical formulation will involve a two-dimensional variational problem. The dislocations are introduced as point topological defects of the strain fields, for which we compute the elastic energy stored outside the so-called core region. We show that the -limit of this energy (suitably rescaled),...