Results 21 to 30 of about 16,360 (294)
On chiral effects in strain gradient elasticity [PDF]
European Journal of Mechanics - A/Solids, 2016 This paper is concerned with the problem of uniformly loaded bars in strain gradient elasticity. We study the deformation of an isotropic chiral bar subjected to body forces, to tractions on the lateral surface and to resultant forces and moments on the ends. Examples of chiral materials include some auxetic materials, bones, some honeycomb structures,
Iesan, Dorin +1 more
openaire +4 more sources
An approach to nonlinear viscoelasticity via metric gradient flows [PDF]
, 2013 We formulate quasistatic nonlinear finite-strain viscoelasticity of rate type as a gradient system. Our focus is on nonlinear dissipation functionals and distances that are related to metrics on weak diffeomorphisms and that ensure time-dependent frame ...
Mielke, A. +4 more
core +1 more source
Non-Conventional Thermodynamics and Models of Gradient Elasticity
Entropy, 2018 We consider material bodies exhibiting a response function for free energy, which depends on both the strain and its gradient. Toupin–Mindlin’s gradient elasticity is characterized by Cauchy stress tensors, which are given by space-like Euler–Lagrange ...
Hans-Dieter Alber +3 more
doaj +1 more source
Engineering Transactions, 2023 In this paper, we study forced harmonic waves in a magneto-electro-viscoelastic (MEV) nanobeam embedded in a viscoelastic foundation using nonlocal strain gradient elasticity theory.
Lakshmanan ANITHA +3 more
doaj +1 more source
Free Vibration Analysis of Size-Dependent Multi-Layered Graphene Sheets Based on Strain Gradient Elasticity Theory [PDF]
Mechanics of Advanced Composite Structures, 2022 This study investigates the size-dependent free vibration analysis of multi-layered graphene sheets based on exponential shear deformation theory (ESDT), which considers the effects of rotary inertia and transverse shear deformations. In order to capture
Korosh Khorshidi +2 more
doaj +1 more source
Distributed non-singular dislocation technique for cracks in strain gradient elasticity
Journal of the Mechanical Behavior of Materials, 2014 The mode III fracture analysis of a cracked graded plane in the framework of classical, first strain gradient, and second strain gradient elasticity is presented in this paper.
Mousavi S. Mahmoud +2 more
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
Wedge and Twist Disclinations in Second Strain Gradient Elasticity
, 2007 The aim of this paper is to study disclinations in the framework of a second strain gradient elasticity theory. This second strain gradient elasticity has been proposed based on the first and second gradients of the strain tensor by Lazar et al.
Deng, SC (reprint author), CAS, Inst Mech, State Key LNM, Beijing 100080, Peoples R China. +3 more
core +2 more sources
On the strain gradient bending deformations
Journal of the Mechanical Behavior of Materials, 2013 Bending deformations are reviewed in the context of strain gradient linear elasticity, considering the complete set of strain gradient components. It is well understood that conventional bending deformations depend on the collective uniaxial extension of
Lazopoulos Konstantinos A. +1 more
doaj +1 more source
Thermo-electro-mechanical behaviour of Nano-sized structures [PDF]
MATEC Web of Conferences, 2020 Thermo-electro-mechanical behaviour of the nano-sized structures is analysed by the finite element method (FEM). The mechanical response of the nano-sized structures cannot be modelled with classical continuum theories due to the size effect phenomenon ...
Repka Miroslav, Sator Ladislav
doaj +1 more source