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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A finite element analysis of strain localization for soft rock using a constitutive equation with strain softening
TL;DR: In this article, a constitutive model of a soft rock and overconsolidated clay using an elasto-plastic constitutive theory with memory was originally developed by Adachi and Oka.
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Discussion of “ Physical Modeling of Sea‐Seabed Interactions ” Tokuo Yamamoto, Shigeo Takahashi, and Bruce Schuckman (February, 1983)
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A simplified meshless method for cohesive cracks
Y. Y. Zhang,L. S. Gao +1 more
TL;DR: In this paper, a discrete rotating crack method embedded in the element-free Galerkin method is presented, where the crack is represented by discrete cohesive crack segments only passing through nodes and the orientation of the crack segments is rotated when directional changes in the maximum principal stress occur.
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Strain localization in plane strain micropolar elasticity
TL;DR: In this article, the authors considered the case when the micro-rotation is linearly related to the macrorotation and when the material is centro-symmetric, and the strain localization was regarded as a perturbation on the otherwise homogeneous deformation field.