1,721,263 research outputs found
Global solvability of a dissipative Frémond model for shape memory alloys. Part I : Mathematical formulation and uniqueness
No full textThe mathematical formulation of a dissipative Frémond model for shape memory alloys is given in terms of an initial and boundary values problem. Uniqueness of sufficiently regular solutions is proved by use of a contracting estimates procedure in the case when quadratic dissipative contributions are neglected in the energy balance. The related existence result is only established while its proof will be detailed by the author in a subsequent paper
Some results on the well-posedness of an integro-differential Frémond model for shape memory alloys
No full textThis note deals with the nonlinear three-dimensional Frémond model for shape memory alloys in the case when the heat flux law contains a thermal memory term. The abstract formulation of the initial and boundary value problem for the resulting system of PDE's is considered. Existence and uniqueness of the solutions can be proved by exploiting a time discretization semi-implicit scheme, combined with an a priori estimate - passage to the limit procedure, as well as by performing suitable contracting estimates on the solutions
Intoduction. Inclusive Marketing and Value Creation Strategies
No full textIn recent years, growing attention from academics and marketers has been
devoted to “inclusive marketing” or “diversity marketing” as a means to
create value for the organisation, the market, and society in general by
reflecting the diversities of consumer groups with a “socially inclusive
approach”. Driven by changing consumer expectations and social
movements, brands have been increasingly required to meet Diversity,
Equity, and Inclusion (DEI) themes while maintaining business profitability. This chapter proposes a
model for inclusive marketing. This
model is intended to contribute to the emerging stream of inclusive
marketing literature and help marketers conform to a socially inclusive
approach, enhance the effectiveness of their marketing programs, and
create both marketing value and social value
Risolubilità globale di un modello di Frémond dissipativo per leghe metalliche a memoria di forma
No full textGlobal solvability of a dissipative frémond model for shape memory alloys. Part II : existence
No full textThe paper investigates an initial and boundary values problem which is derived from a dissipative Frémond model for shape memory alloys. Existence of a global solution for the abstract version of the evolution problem is proved by use of a semi-implicit time discretization scheme combined with an a priori estimates-passage to the limit procedure
Global solution to a Frémond model for shape memory alloys with thermal memory
No full textStudy of a mathematical model for analyzing the thermomechanical behaviour of metallic alloys exhibiting shape memory effect was carried out. The model assumed diffusive effects for phase proportions and the heat flux was supposed to satisfy a relaxed version of the Fourier law. The total free energy associated with the state of the system was found to be a weighted sum of the specific free energies of martensitic and austenitic variants and of a thermally coupled indicator function
Some asymptotic analysis for hyperbolic relaxed Stefan problems with memory
No full textThe aim of this paper is to establish existence and uniqueness of the solution to a diffusive phase transition problem for an integrodifferential energy balance equation of hyperbolic type. We also examine some asymptotic relations with the related phase-field problem and the limiting case of the hyperbolic Stefan problem with memory
Collisions and fracture : a l-D theory : how to tear off a chandelier from the ceiling
No full textWhen a plate falls on the ground, it breaks. We study this phenomenon at the macroscopic level. We restrict ourselves to 1-D problems and illustrate the theory with a chandelier to which a falling stone is tied. The collisions are assumed instantaneous. Percussions are introduced at the unknown fracture points. Equations of motion and constitutive laws give a set of differential equations, whose corresponding variational problem may be solved in SBV (special functions of bounded variation). The example shows how the theory applies and gives realistic results
Damage of materials: damaging effects of macroscopic vanishing motions
No full textWe investigate a mechanical model describing the evolution of damage in elastic and viscoelastic materials. The state variables are macroscopic deformations and the volume fraction of sound material. The equilibrium equations are recovered by refining the principle of virtual power including also microscopic forces. After proving an existence and uniqueness result for a regularized problem, we investigate the behaviour of solutions, in the case when a vanishing sequence of external forces is applied. By use of a rigorous asymptotics analysis, we show that macroscopic deformations can disappear at the limit, but their damaging effect remains in the equation describing the evolution of damage at a microscopic level. Moreover, it is proved that the balance of the energy is satisfied at the limit
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