Results 241 to 250 of about 19,698 (269)

Acoustic surface wave dispersion with strain gradient elasticity and micro-inertia effect in lossy polymer-coated piezoelectric structure

Waves in Random and Complex Media, 2022
This research paper utilizes second-order gradient electroelasticity theory to develop a theoretical model of Love-type surface wave transference considering strain and inertia gradient effects in a Kelvin–Voigt type viscoelastic lossy polymer-coated ...
S. A. Sahu, Mahargha Biswas
semanticscholar   +1 more source

Second gradient of strain and surface-tension in linear elasticity

International Journal of Solids and Structures, 1965
Abstract In this paper there is formulated a linear theory of deformation of an elastic solid in which the potential energy-density is a function of the strain and its first and second gradients. This is a theory in which cohesive force and surface-tension are intrinsic.
openaire   +1 more source

An improved quadrilateral finite element for nonlinear second-order strain gradient elastic Kirchhoff plates

Meccanica, 2019
In this paper, a geometrically nonlinear size-dependent Elastic Kirchhoff nanoplate model is developed based on the second-order negative strain gradient nonlocal theory useful for capturing the size effects. Taking the mid-plane stretching into consideration as the source of the nonlinear behaviour, weak form of the governing partial differential ...
Bishweshwar Babu, B. P. Patel
openaire   +1 more source

Fracture analysis of unequal arbitrarily orientated cracks in bi-directional functionally graded materials via strain gradient elasticity theory

Strength, Fracture and Complexity
In this article, we have analyzed the interaction of arbitrarily oriented cracks under anti-plane deformation in a bi-directional functionally graded material (bi-FGM) using strain gradient elasticity (SGE) theory. The first crack is aligned along the
Rakesh Kumar Sharma, K. Jangid, Y. Eugene Pak, Vikram Singh   +3 more
semanticscholar   +1 more source

First vs. second gradient of strain theory for capillarity effects in an elastic fluid at small length scales

Computational Materials Science, 2011
Mindlin [22] wrote a milestone paper claiming that a second strain gradient theory is required for a continuum description of volume cohesion and surface tension in isotropic elastic media. The objective of the present work is to compare Mindlin’s approach to more standard capillarity models based on a first strain gradient theory and Korteweg’s ...
Forest, Samuel, Cordero, Nicolas, Busso, Esteban P.   +2 more
openaire   +2 more sources

A second strain gradient damage model with a numerical implementation for quasi-brittle materials with micro-architectures

Mathematics and mechanics of solids, 2020
In this paper, a quasi-brittle damage model for micro-architectural materials is presented within the framework of isogeometric analysis to exploit the high-order continuity of the non-uniform B-spline basis functions.
T. Nguyen, J. Niiranen
semanticscholar   +1 more source

Elastic and plastic fields induced by a screw dislocation in a nanowire within Mindlin’s second strain gradient theory

Applied Mathematical Modelling, 2022
M.R. Delfani, S. Amadeh-Rajiri
openaire   +1 more source

Wave motion in elastic enriched medias based on the second strain gradient formulation

Le mouvement des vagues dans des médias enrichis élastiques basé sur la formulation de gradient de deuxième souche Dans ce travail, la théorie du Second Strain Gradient (SSG) proposée par Mindlin est utilisée dans le cadre de la Wave Finite Element Method (WFEM) pour l'analyse dynamique de médias enrichis.
openaire   +1 more source

A unified reproducing kernel gradient smoothing Galerkin meshfree approach to strain gradient elasticity

Computational Mechanics, 2022
Honghui Du, Junchao Wu, Dongdong Wang, Jian Chen   +3 more
semanticscholar   +1 more source

Parametric deep energy approach for elasticity accounting for strain gradient effects

Computer Methods in Applied Mechanics and Engineering, 2021
Cosmin Anitescu, Naif Alajlan, Timon Rabczuk   +2 more
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