2018
DOI: 10.3390/ma11091584
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A Lattice Model for Elastic Particulate Composites

Abstract: In the present article, a version of the lattice or spring network method is proposed to model the mechanical response of elastic particulate composites with a high volume fraction of spherical particles and with a much weaker matrix compared to the stiffness of the particles. The main subject of the article is the determination of the axial stiffnesses of the springs of the cell. A comparison of the mechanical response of a three-dimensional particulate composite cube obtained using the finite element method … Show more

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Cited by 4 publications
(3 citation statements)
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“…Experimental validation of the numerical results showed that the algorithm developed was an efficient way to solve the coupling elastic-plastic deformation problems in the contact zone between the continuum and discontinuum. Lattice models permit an analysis of the fracture process at the microstructure level [142], including material anisotropy [143], and they are also used for modeling composites [144].…”
Section: Discrete Element Methodsmentioning
confidence: 99%
“…Experimental validation of the numerical results showed that the algorithm developed was an efficient way to solve the coupling elastic-plastic deformation problems in the contact zone between the continuum and discontinuum. Lattice models permit an analysis of the fracture process at the microstructure level [142], including material anisotropy [143], and they are also used for modeling composites [144].…”
Section: Discrete Element Methodsmentioning
confidence: 99%
“…To better describe the wall gluing effect, the formulation of the bonded contact was done with control parameters for tangential and normal contact stiffness. This option is a possible approach to tackle contact problems [34], and it is available with ANSYS. Both tangential (FKT) and normal (FKN) control factors of this formulation can be set to values ranging from 0.01 to 1.0.…”
Section: Definition and Analysis Of The Fe Modelsmentioning
confidence: 99%
“…In particular, stochastic dense packing of non-uniform-sized circular (2D) or spherical (3D) elements [22,28,29] is used to solve the problems of packing-induced anisotropy of the elastic response and packing-dependent ratio of elastic modules of an ensemble of elements. An alternative approach is to use the formalism of spring network model (lattice model [32,33]) to build relationships for the forces of interaction of regularly packed uniform-sized elements [34][35][36]. The lattice model is based on the postulation of the form of interaction potential (harmonic potential is usually used for both central and angular interactions) and equalization of elastic strain energy stored in a unit cell of volume to the associated elastic strain energy of the modelled continuum.…”
Section: Introductionmentioning
confidence: 99%