Second strain gradient elasticity of nano-objects

NM Cordero, S Forest, EP Busso - Journal of the Mechanics and Physics of …, 2016 - Elsevier
Mindlin's second strain gradient continuum theory for isotropic linear elastic materials is
used to model two different kinds of size-dependent surface effects observed in the …

Characterization of the symmetry class of an elasticity tensor using polynomial covariants

M Olive, B Kolev, R Desmorat… - … and Mechanics of …, 2022 - journals.sagepub.com
We formulate effective necessary and sufficient conditions to identify the symmetry class of
an elasticity tensor, a fourth-order tensor which is the cornerstone of the theory of elasticity …

[HTML][HTML] A complete description of bi-dimensional anisotropic strain-gradient elasticity

N Auffray, J Dirrenberger, G Rosi - International Journal of Solids and …, 2015 - Elsevier
In the present paper spaces of fifth-order tensors involved in bidimensional strain gradient
elasticity are studied. As a result complete sets of matrices representing these tensors in …

A hierarchy of simplified constitutive models within isotropic strain gradient elasticity

C Polizzotto - European Journal of Mechanics-A/Solids, 2017 - Elsevier
Simplified isotropic models of strain gradient elasticity are presented, based on the mutual
relationship between the inherent (dual) gradient directions (ie the gradient direction of any …

Effective description of anisotropic wave dispersion in mechanical band-gap metamaterials via the relaxed micromorphic model

MV d'Agostino, G Barbagallo, ID Ghiba, B Eidel… - Journal of elasticity, 2020 - Springer
In this paper the relaxed micromorphic material model for anisotropic elasticity is used to
describe the dynamical behavior of a band-gap metamaterial with tetragonal symmetry …

Complete symmetry classification and compact matrix representations for 3D strain gradient elasticity

N Auffray, QC He, H Le Quang - International Journal of Solids and …, 2019 - Elsevier
Abstract Strain Gradient Elasticity (SGE) is now often used in mechanics and physics, owing
to its capability to model some non-classical phenomena, such as size effects, in materials …

[图书][B] Tensor-valued random fields for continuum physics

A Malyarenko, M Ostoja-Starzewski - 2019 - books.google.com
Many areas of continuum physics pose a challenge to physicists. What are the most general,
admissible statistically homogeneous and isotropic tensor-valued random fields (TRFs) …

The atomistic representation of first strain-gradient elastic tensors

NC Admal, J Marian, G Po - Journal of the Mechanics and Physics of Solids, 2017 - Elsevier
We derive the atomistic representations of the elastic tensors appearing in the linearized
theory of first strain-gradient elasticity for an arbitrary multi-lattice. In addition to the classical …

A random field formulation of Hooke's law in all elasticity classes

A Malyarenko, M Ostoja-Starzewski - Journal of Elasticity, 2017 - Springer
For each of the 8 symmetry classes of elastic materials, we consider a homogeneous
random field taking values in the fixed point set VV of the corresponding class, that is …

On the nature of the relaxation time, the Maxwell–Cattaneo and Fourier law in the thermodynamics of a continuous medium, and the scale effects in thermal …

SA Lurie, PA Belov - Continuum Mechanics and Thermodynamics, 2020 - Springer
We present the theory of space–time elasticity and demonstrate that it is the extended
reversible thermodynamics and gives the coupled model of thermoelasticity and heat …