Results 21 to 30 of about 19,698 (269)
Second strain-gradient elasticity for centro-symmetric cubic materials
Second strain-gradient elasticity has been initially introduced by Mindlin (1) in order to describe surface effects such as surface relaxation. The constitutive law is however only written for the isotropic (O(3)-invariant) case. This results from the complexity of the constitutive law, which involves 18 parameters in the isotropic case, and this ...
Demonteaux, Matthias +3 more
openaire +2 more sources
On the Ellipticity of Static Equations of Strain Gradient Elasticity and Infinitesimal Stability
Vestnik St Petersburg University Mathematics, 2023 Conditions for the strong ellipticity of equilibrium equations are formulated within strain gradient elasticity under finite deformations. In this model, the strain energy density is a function of the first and second gradients of the position vector ...
V. Eremeyev
semanticscholar +2 more sources
Thermodynamically consistent gradient elasticity with an internal variable [PDF]
Theoretical and Applied Mechanics, 2020 The role of thermodynamics in continuum mechanics and the derivation of proper constitutive relations is a topic discussed in Rational Mechanics. The classical literature did not use the accumulated knowledge of thermostatics and was very critical of the
Ván Peter
doaj +1 more source
Applied Sciences, 2023 The elastodynamic stress field near a crack tip propagating at a constant speed in isotropic quasi-brittle material was investigated, taking into account the strain gradient and inertia gradient effects.
Yury Solyaev
doaj +1 more source
A non-second-gradient model for nonlinear elastic bodies with fibre stiffness
Scientific Reports, 2023 In the past, to model fibre stiffness of finite-radius fibres, previous finite-strain (nonlinear) models were mainly based on the theory of non-linear strain-gradient (second-gradient) theory or Kirchhoff rod theory.
M. H. B. M. Shariff +2 more
doaj +1 more source
Finite Gradient Models with Enriched RBF-Based Interpolation
Mathematics, 2022 A finite strain gradient model for the 3D analysis of materials containing spherical voids is presented. A two-scale approach is proposed: a least-squares methodology for RVE analysis with quadratic displacements and a full high-order continuum with both
Pedro Areias +3 more
doaj +1 more source
Positive definiteness in coupled strain gradient elasticity [PDF]
, 2021 The linear theory of coupled gradient elasticity has been considered for hemitropic second gradient materials, specifically the positive definiteness of the strain and strain gradient energy density, which is assumed to be a quadratic form of the strain ...
Altenbach, Holm +2 more
core +1 more source
Static, stability and dynamic analyses of second strain gradient elastic Euler–Bernoulli beams
Acta Mechanica, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ishaquddin, Md., Gopalakrishnan, S.
openaire +3 more sources
New applications of a generalized Hooke’s law for second gradient materials
Theoretical and Applied Mechanics Letters, 2015 We provide analytical solutions to the problems of a circular bending of a beam in plane strain and the torsion of a non-circular cross-section beam, the beams obeying a second-gradient elasticity law proposed by the author, following a previous ...
K. Enakoutsa
doaj +1 more source
Mechanical and finite element models of corneal keratoprostheses
Advanced Engineering Research, 2020 Introduction. When developing ocular prostheses, a number of problems arise, one of which is the construction of the connection between the hard optical part and the soft corneal tissue. Their Young's modules can differ by three orders of magnitude.
A. N. Soloviev +5 more
doaj +1 more source