Πλοήγηση ανά Θέμα "Gradient elasticity"
Αποτελέσματα 1-12 από 12
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Circular tunnel in a gradient elastoplastic rock mass
(2020)This paper attempts to study the mechanical behavior of an elastoplastic rock mass around an underground circular excavation by using gradient theory. The problem (in plane conditions) is reduced to that of a circular hole ... -
Dipolar gradient elasticity of cables
(2012)The increasing structural use of cables and cable-systems has given rise to a substantial technical literature concerning their static and dynamic response. However, the majority of these works is based on classical ... -
The dynamic response of stereocilia by a gradient elasticity model
(2016)In the inner ear, stereocilia are the mechanosensing organelles of hair cells which respond to fluid motion for the hearing function. Stereocilia are lined up in several rows of increasing height like a stair case. At the ... -
Gradient elasticity and size effect for the borehole problem
(2018)It has been shown recently that robust gradient models of elasticity offer an effective tool to resolve existing difficulties (e.g., elimination of singularities) or predict new experimentally observed phenomena (e.g., ... -
Mixed finite-element formulations in piezoelectricity and flexoelectricity
(2016)Flexoelectricity, the linear coupling of strain gradient and electric polarization, is inherently a size-dependent phenomenon. The energy storage function for a flexoelectric material depends not only on polarization and ... -
Non-local criteria for the borehole problem: Gradient Elasticity versus Finite Fracture Mechanics
(2022)Two nonlocal approaches are applied to the borehole geometry, herein simply modelled as a circular hole in an infinite elastic medium, subjected to remote biaxial loading and/or internal pressure. The former approach lies ... -
Plane asymptotic crack-tip solutions in gradient elasticity
(2009)An asymptotic crack-tip solution under conditions of plane strain is developed for a material that obeys a special form of linear isotropic strain gradient elasticity. In particular, an elastic constitutive equation of the ... -
Plane-Strain Problems for a Class of Gradient Elasticity Models-A Stress Function Approach
(2011)The plane strain problem is analyzed in detail for a class of isotropic, compressible, linearly elastic materials with a strain energy density function that depends on both the strain tensor epsilon and its spatial gradient ... -
A structural gradient theory of torsion, the effects of pretwist, and the tension of pre-twisted DNA
(2013)A structural gradient theory of torsion of thin-walled beams is developed. A non-local estimate of the mean value of the angle of twist of the beam leads to a shear gradient that is energetically consistent with a bi-moment, ... -
Underground circular openings in elastoplastic rocks: Strain gradient and size effects
(2020)A special form of gradient elasticity and a deformation version of gradient plasticity are employed to derive analytical solutions for the problem of an unsupported underground circular opening in an elastoplastic rock ... -
The use of strain gradient elasticity in modelling tissues: The case of the human heart
(2010)In recent years, strain gradient elasticity has been used to capture size effects in stiffness and toughness that appear in structures of different sizes. An important aspect of such theories, often taken of little notice, ... -
Variational analysis of gradient elastic flexural plates under static loading
(2010)Gradient elastic flexural Kirchhoff plates under static loading are considered. Their governing equation of equilibrium in terms of their lateral deflection is a sixth order partial differential equation instead of the ...