Theory and computation of higher gradient elasticity theories based on action principles [PDF]
Archive of Applied Mechanics, 2017 In continuum mechanics, there exists a unique theory for elasticity, which includes the first gradient of displacement. The corresponding generalization of elasticity is referred to as strain gradient elasticity or higher gradient theories, where the ...
Abali, B. Emek +2 more
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Elastic solids with strain-gradient elastic boundary surfaces
Journal of Elasticity, 2023 Abstract Recent works have shown that in contrast to classical linear elastic fracture mechanics, endowing crack fronts in a brittle solid with Steigmann-Ogden surface elasticity yields a model that predicts bounded strains at the crack tips for plane-strain problems. However, a logarithmic singularity is still present in general for anti-plane
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Rectified cell migration on saw-like micro-elastically patterned hydrogels with asymmetric gradient ratchet teeth. [PDF]
PLoS ONE, 2013 To control cell motility is one of the essential technologies for biomedical engineering. To establish a methodology of the surface design of elastic substrate to control the long-range cell movements, here we report a sophisticated cell culture hydrogel
Satoru Kidoaki, Hiroyuki Sakashita
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Fractional Gradient Elasticity from Spatial Dispersion Law [PDF]
, 2014 Non-local elasticity models in continuum mechanics can be treated with two different approaches: the gradient elasticity models (weak non-locality) and the integral non-local models (strong non-locality).
Tarasov, Vasily E.
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Strain gradient elasticity within the symmetric BEM formulation [PDF]
Fracture and Structural Integrity, 2014 The symmetric Galerkin Boundary Element Method is used to address a class of strain gradient elastic materials featured by a free energy function of the (classical) strain and of its (first) gradient.
S. Terravecchia +2 more
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Nonlinear flexure mechanics of beams: stress gradient and nonlocal integral theory
Materials Research Express, 2021 In order to study the intrinsic size-effects, the stress gradient theory is implemented to a nano-scale beam model in nonlinear flexure. The nonlocal integral elasticity model is considered as a suitable counterpart to examine the softening behavior of ...
Mahdad Fazlali +2 more
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A new gradient elasticity model for the elastic boreholes [PDF]
IOP Conference Series: Earth and Environmental Science, 2021 Abstract A new gradient elasticity model is employed to discuss strain gradient effects and its ability in predicting size effects on an elastic rock mass with microstructure, around an axisymmetric borehole under internal pressure and remote isotropic compressive stress.
G Efremidis, I Tsagrakis
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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
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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
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Four simplified gradient elasticity models for the simulation of dispersive wave propagation [PDF]
, 2008 Gradient elasticity theories can be used to simulate dispersive wave propagation as it occurs in heterogeneous materials. Compared to the second-order partial differential equations of classical elasticity, in its most general format gradient elasticity ...
A.V. Metrikine +9 more
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