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
More filters
Book ChapterDOI
Acoustic Metamaterials Based on Local Resonances: Homogenization, Optimization and Applications
TL;DR: In this article, the authors give an overview of techniques and methods used in the modeling of acoustic and elastic metamaterials, focusing on locally resonant microstructures, the dimensions of which are much smaller than the wavelengths of the waves under analysis.
Journal ArticleDOI
Elastic Behavior of 2D Grain Packing Modeled as Micromorphic Media Based on Granular Micromechanics
Anil Misra,Payam Poorsolhjouy +1 more
TL;DR: In this paper, a two-dimensional (2D) granular micromechanics model for micromorphic media is presented, which is enhanced by incorporating nonclassical terms in the kinematics.
Journal ArticleDOI
Nonlinear granular micromechanics model for multi-axial rate-dependent behavior
Anil Misra,Viraj Singh +1 more
TL;DR: In this paper, an explicit time-integration scheme has been derived to predict primary, secondary and tertiary creep as well as rate-dependent response under tensile and compressive loads for hot mix asphalt.
Journal ArticleDOI
A Biot–Cosserat two-dimensional elastic nonlinear model for a micromorphic medium
TL;DR: In this article, a possible strain energy density, incorporating Cosserat's micro-rotations and Biot's change in porosity conferred by the microstructure geometry, is proposed in an elastic, two-dimensional, nonlinear context.
Journal ArticleDOI
A generalized fractional-order elastodynamic theory for non-local attenuating media.
Sansit Patnaik,Fabio Semperlotti +1 more
TL;DR: A generalized elastodynamic theory, based on fractional-order operators, capable of modelling the propagation of elastic waves in non-local attenuating solids and across complex non- local interfaces and of Snell's Law of refraction and of the corresponding Fresnel’s coefficients is presented.
References
More filters
Journal ArticleDOI
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.