Uniqueness of Solutions in Thermopiezoelectricity of Nonsimple Materials [PDF]
This article presents the theory of thermopiezoelectricity in which the second displacement gradient and the second electric potential gradient are included in the set of independent constitutive variables.
Francesca Passarella, Vincenzo Tibullo
doaj +6 more sources
Multidimensional Thermoelasticity for Nonsimple Materials - Well-Posedness and Long-Time Behavior [PDF]
An initial-boundary value problem for the multidimensional type III thermoelaticity for a nonsimple material with a center of symmetry is considered. In the linear case, the well-posedness with and without Kelvin-Voigt and/or frictional damping in the elastic part as well as the lack of exponential stability in the elastically undamped case is proved ...
Anikushyn, Andrii, Pokojovy, Michael
openaire +4 more sources
Non-simple elastic materials with double porosity structure
This paper is concerned with a strain gradient theory of elastic materials that have a double porosity structure. Firstly, we present the basic equations and the boundary conditions of the nonlinear theory.
S. De Cicco
doaj +1 more source
Contact interactions, stress and material symmetry [PDF]
An argument is given intimating that, for nonsimple materials, the concepts of contact interaction and material symmetry, as well as the bridging concept of stress, should be carefully revised and generalized. .
Podio-Guidugli P.
doaj +1 more source
O pewnym zagadnieniu brzegowym dla układu równań różniczkowych cząstkowych opisujących termosprężystość materiałów złożonych [PDF]
W pracy rozważamy zagadnienie Dirichleta dla równań teorii termosprężystości materiałów złożonych. Pokazaliśmy, że zagadnienie to generuje operator fredholmowski działający pomiędzy odpowiednimi przestrzeniami Sobolewa.[b]Słowa kluczowe[/b]: zagadnienie ...
Henryk Kołakowski, Jarosław Łazuka
doaj +1 more source
Nonsimple material problems addressed by the Lagrange’s identity [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Marin, Marin I +2 more
openaire +2 more sources
Some results on thermopiezoelectricity of nonsimple materials
In this paper, we consider the linear theory for a model of a thermopiezoelectric nonsimple material adopting the entropy production inequality proposed by Green and Laws as presentated in Passarella (2022). We establish reciprocity theorems and a variational principle for homogeneous and anisotropic thermopiezoelectric nonsimple materials with a ...
Ciarletta M. +3 more
openaire +2 more sources
Continuum Nonsimple Loops and 2D Critical Percolation [PDF]
Substantial progress has been made in recent years on the 2D critical percolation scaling limit and its conformal invariance properties. In particular, chordal SLE6 (the Stochastic Loewner Evolution with parameter k=6) was, in the work of Schramm and of ...
Camia, Federico, Newman, Charles M.
core +3 more sources
Convex Polytopes and Quasilattices from the Symplectic Viewpoint [PDF]
We construct, for each convex polytope, possibly nonrational and nonsimple, a family of compact spaces that are stratified by quasifolds, i.e. each of these spaces is a collection of quasifolds glued together in an suitable way.
D. Shechtman +14 more
core +2 more sources
Two-Dimensional Critical Percolation: The Full Scaling Limit [PDF]
We use SLE(6) paths to construct a process of continuum nonsimple loops in the plane and prove that this process coincides with the full continuum scaling limit of 2D critical site percolation on the triangular lattice -- that is, the scaling limit of ...
A.A. Belavin +28 more
core +1 more source

