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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Book ChapterDOI
A 1D Continuum Model for Beams with Pantographic Microstructure: Asymptotic Micro-Macro Identification and Numerical Results
Emilio Barchiesi,Emilio Barchiesi,Francesco dell’Isola,Francesco dell’Isola,Marco Laudato,Luca Placidi,Luca Placidi,Pierre Seppecher,Pierre Seppecher +8 more
TL;DR: In this article, it was shown that the deformation energy is not of second gradient type only because it depends, like in the Euler beam model, upon the Lagrangian curvature, i.e. the projection of the second gradient of the placement function upon the normal vector to the deformed line.
Journal ArticleDOI
Experimental and numerical study on the interaction between holes and fissures in rock-like materials under uniaxial compression
TL;DR: In this article, two types of pre-flawed rock-like material specimens with holes and fissures are fabricated and subjected to uniaxial compression using Digital image correlation (DIC), Acoustic emission (AE) monitoring, Computerized tomography (CT) scanning, and two-dimensional Particle flow code (PFC2D).
Journal ArticleDOI
Grain- and macro-scale kinematics for granular micromechanics based small deformation micromorphic continuum model
Anil Misra,Payam Poorsolhjouy +1 more
TL;DR: In this article, the macro-scale kinematic variables useful for continuum modeling are identified with the grain-scale Kinematic Variables, which can be used to estimate the relative movement of a grain boundary or contact.
Journal ArticleDOI
Hemivariational continuum approach for granular solids with damage-induced anisotropy evolution:
TL;DR: The behavior of materials with granular microstructures is confounded by unique features of their grain-scale mechano-morphology, such as the tension-compression asymmetry of grain interacti....
Book ChapterDOI
Some Cases of Unrecognized Transmission of Scientific Knowledge: From Antiquity to Gabrio Piola’s Peridynamics and Generalized Continuum Theories
Francesco dell’Isola,Francesco dell’Isola,Alessandro Della Corte,Raffaele Esposito,Lucio Russo +4 more
TL;DR: In this paper, the authors focus on the works of the Italian scientist Gabrio Piola (1794-1850) and show clear similarities between Noll's postulation of mechanics and the "ancient" presentation by Piola of the ideas needed to found Analytical Continuum Mechanics.
References
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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.