Micromechanics based second gradient continuum theory for shear band modeling in cohesive granular materials following damage elasticity
Yang Yang,Anil Misra +1 more
TLDR
In this paper, a second gradient stress-strain damage elasticity theory based on the method of virtual power is proposed. But the authors consider the strain gradient and its conjugated double stresses instead of introducing an intrinsic material length scale into the constitutive law in an ad hoc fashion.About:
This article is published in International Journal of Solids and Structures.The article was published on 2012-09-15 and is currently open access. It has received 121 citations till now. The article focuses on the topics: Elasticity (physics) & Continuum mechanics.read more
Citations
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Two-Dimensional Analysis of Size Effects in Strain-Gradient Granular Solids with Damage-Induced Anisotropy Evolution
TL;DR: In this article, the authors analyze in two dimensions the mechanical behavior of materials with granular microstructures modeled by means of a variationally formulated strain-gradient continuum approach based on mi...
Journal ArticleDOI
Analysis of nonlinear axial vibration of single-walled carbon nanotubes using Homotopy perturbation method
TL;DR: In this paper, a second order partial differential equation that governs the nonlinear axial vibration for such nanotubes is derived using doublet mechanics (DM) theory, and this nonlinear equation is solved using HPM.
Journal ArticleDOI
Poromechanics Parameters of Fluid-Saturated Chemically Active Fibrous Media Derived from a Micromechanical Approach.
TL;DR: The authors have derived macroscale poromechanics parameters for chemically active saturated fibrous media by combining microstructure-based homogenization with Hill's volume averaging and Hill's Lemmas, and are able to predict the influence of microscale phenomena such as fiber buckling on the overall behavior, and in particular, on the poromechinics constants.
Dissertation
Homogénéisation de composites élastiques périodiques à fort contraste : Conception de métamatériaux de second gradient
TL;DR: In this article, the authors propose a method of homogeneisation de structures periodiques constituees d'un materiau elastique lineaire isotrope homogene de grande rigidite.
Journal ArticleDOI
Damage-induced mechanical damping in phase-transforming composites materials
TL;DR: In this article, the influence of stress-induced damage on the effective viscoelastic response of two-phase composites having constituents that undergo solid-solid phase transitions is investigated, and it is shown that the observed damage and resulting decrease in matrix stiffness can lead to significant changes in the overall, frequency-dependent damping and dynamic stiffness of the composite under time-harmonic two-dimensional loading.
References
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Element‐free Galerkin methods
Ted Belytschko,Y. Y. Lu,L. Gu +2 more
TL;DR: In this article, an element-free Galerkin method which is applicable to arbitrary shapes but requires only nodal data is applied to elasticity and heat conduction problems, where moving least-squares interpolants are used to construct the trial and test functions for the variational principle.
Book
Mechanics of Solid Materials
TL;DR: In this article, the physical mechanisms of deformation and fracture are discussed, including linear elasticity, thermo-elasticity, and viscoelastic properties of real solids.
Journal ArticleDOI
A new Meshless Local Petrov-Galerkin (MLPG) approach in computational mechanics
Satya N. Atluri,T. Zhu +1 more
TL;DR: In this article, a local symmetric weak form (LSWF) for linear potential problems is developed, and a truly meshless method, based on the LSWF and the moving least squares approximation, is presented for solving potential problems with high accuracy.