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
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At the origins and in the vanguard of peridynamics, non-local and higher-gradient continuum mechanics: An underestimated and still topical contribution of Gabrio Piola
TL;DR: Gabrio Piola's scientific papers have been underestimated in mathematical physics literature as mentioned in this paper, but a careful reading of them proves that they are original, deep and far-reaching, and even even...
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At the origins and in the vanguard of peri-dynamics, non-local and higher gradient continuum mechanics. An underestimated and still topical contribution of Gabrio Piola
TL;DR: In this paper, the authors show that non-local and higher gradient continuum mechanics was conceived already in Piola's works and explain the reasons of the unfortunate circumstance which caused the erasure of the memory of this aspect of Piola contribution.
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Large deformations of planar extensible beams and pantographic lattices: Heuristic homogenization, experimental and numerical examples of equilibrium
TL;DR: In this article, the authors considered a discrete spring model for extensible beams and proposed a heuristic homogenization technique of the kind first used by Piola to formulate a continuum fully nonlinear beam model.
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Analytical continuum mechanics à la Hamilton-Piola least action principle for second gradient continua and capillary fluids
TL;DR: In this article, a Lagrangian action is proved to hold for capillary fluids, i.e. fluids for which the deformation energy has the form suggested, starting from molecular arguments.
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Dynamic problems for metamaterials: Review of existing models and ideas for further research
TL;DR: In this article, the authors focus on the design of wave-guides aimed to control wave propagation in micro-structured continua, with particular attention to piezoelectromechanical structures, having a strong coupling between macroscopic motion and some internal degrees of freedom.
References
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Higher-Order Stress-Strain Theory for Damage Modeling Implemented in an Element-free Galerkin Formulation
Yang Yang,Anil Misra +1 more
TL;DR: In this paper, a higher-order stress-strain theory was proposed to describe the damage behavior of strain softening materials, and the constitutive coefficients were obtained from a granular media approach such that the internal length scale parameter reflects the natural granularity of the underlying microstructure.
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Micromechanical model for cohesive materials based upon pseudo-granular structure
Anil Misra,Yang Yang,Yang Yang +2 more
TL;DR: In this paper, a micromechanical model for cohesive materials is derived by considering their underlying microstructure conceptualized as a collection of grains interacting through pseudo-bonds.
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Fracture modeling using a micro-structural mechanics approach––I. Theory and formulation
TL;DR: In this paper, a micro-structural mechanics approach is adopted to model the development of fracture in concrete, where the continuum is assumed to have an underlying micro-structure of lattice type, which has been demonstrated as a useful description for concrete fracture.
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Strong discontinuities in partially saturated poroplastic solids
TL;DR: In this paper, the authors considered the analysis and numerical simulation of strong discontinuities in partially saturated elastoplastic solids and proposed a finite element model to capture the strong discontinuity through the proper enhancements of the discrete element strains.
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Application of micropolar plasticity to post failure analysis in geomechanics
TL;DR: In this paper, a micropolar elastoplastic model for soils is formulated and a series of finite element analyses are employed to demonstrate the use of a micro-scale continuum in overcoming the numerical difficulties encountered in application of the finite element method in standard Cauchy-Boltzmann continuum.