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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Non-linear Dynamics of Pantographic Fabrics: Modelling and Numerical Study
Marco Laudato,Emilio Barchiesi +1 more
TL;DR: In this paper, the dynamical behavior of a pantographic sheet undergoing sinusoidal (in time) imposed displacement is numerically investigated, and a non-linear generalization of such a model is proposed for the description of a Pantographic material dynamical behaviour.
Book ChapterDOI
Least Action Principle for Second Gradient Continua and Capillary Fluids: A Lagrangian Approach Following Piola’s Point of View
Francesco dell’Isola,Nicolas Auffray,Victor A. Eremeyev,Angela Madeo,Luca Placidi,Giuseppe Rosi +5 more
TL;DR: In this article, the stationary action principle holds also for capillary fluids, i.e. those fluids for which the deformation energy depends on spatial derivative of mass density (a modelling necessity which has been already remarked by Cahn and Hilliard [15, 16]).
Journal ArticleDOI
Variational regularization of damage models based on the emulated RVE
TL;DR: In this article, the authors proposed a different approach to regularization that does not make use of any nonlocal enhancement like the inclusion of higher gradients or integration over local sub-domains nor of any classical viscous effects.
Journal ArticleDOI
Numerical modeling of shear band propagation in porous plastic dilatant materials by XFEM
TL;DR: In this article, a mixed-mode shear band propagation behavior was studied in porous plastic dilatant materials by the extended finite element method (XFEM), where the Drucker-Prager elastoplastic model was combined with the strong discontinuity method to simulate the dilated shear bands.
Journal ArticleDOI
Thermodynamic temperature in linear and nonlinear Hamiltonian Systems
TL;DR: In this paper, the authors introduced the temperature concept for Hamiltonian systems to describe the energy flow between two coupled sub-systems, and showed that the temperature depends on a series of integer and fractional powers of the system's energy.
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.