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
Journal ArticleDOI
Discrete element modeling of first shear strain gradient effects on mechanical behaviors in granular materials
TL;DR: In this article, the effects of the first shear strain gradient on the mechanical behavior of granular materials have attracted attention from many researchers, and the results indicate that the macro shear stress is insensitive to the first strain gradient at low strains, but is indeed affected at high strains.
Journal ArticleDOI
Solution of a paradox related to the rigid bar pull-out problem in standard elasticity
TL;DR: In this article , the pull-out test of a reinforcement bar from a concrete matrix is modeled as a Cauchy continuum, where the pullout test consists in extracting the bar while fixing the outer lateral boundary of the cylinder.
Posted Content
Efficient and robust numerical treatment of a gradient-enhanced damage model at large deformations
TL;DR: In this paper, the authors present an extension of the efficient numerical treatment, which has been proposed in [1], to materials that are subjected to large deformations, along with the model derivation, they present a technique for element erosion in the case of severely damaged materials.
Journal ArticleDOI
Elastic degradation models for the micromorphic continuum
TL;DR: The micromorphic theory poses as the most general theory in this class of generalized theories through the consideration of nine additional degrees of freedom embedded in each material particle, which is directly correlated to the nonlocal feature of generalized media, wherein the material microstructural behavior is incorporated into the continuum formulation as mentioned in this paper .
Book ChapterDOI
Second Gradient Models and Concrete Structures
TL;DR: In this article, a penalty term is added to the original second-order derivatives of the virtual power principle in order to improve convergence and to avoid erroneous damage distribution, and a three-point bending test is performed on a reinforced concrete beam.
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.