Micromechanical analysis of lattice blocks

Aboudi, Jacob; Gilat, Rivka

doi:10.1016/j.ijsolstr.2005.01.008

Cited by 29 publications

(33 citation statements)

References 19 publications

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“…The unit cell element is the unit component that still possesses all physical characteristics of the bulk lattice material [14,15]. Therefore, one can consider a single unit cell in the numerical simulation as the representative element of the entire lattice material, assuming that the lattice material is infinitely matrix material [11,12].…”

Section: Topological Characteristics Of Unit Cell Structuresmentioning

confidence: 99%

“…The homogenization for one truss member under uni-axial loading in the lattice material is illustrated in this figure. In the unit volume space, the macro-scale uni-axial strain 11 E is defined as the applied uni-axial displacement 11 ∆ divided by the length L ( 11…”

Section: Volumetric Homogenizationmentioning

confidence: 99%

“…The bending mechanism can dominate the finite deformations of the randomly oriented struts within micro-cellular solid structures. By contrast, the contributions of the overall bending stiffness of the truss members periodically aligned are considered to be negligible, when compared with those of the axial stiffness [2,11,14]. Likewise, the plastic deformation at the connected nodes, shearing and torsion effect of individual truss members are not considered in the constitutive model.…”

Section: Effective Constitutive Modelsmentioning

confidence: 99%

“…For multi-loading cases, the micro-scale strain is obtained by the sum of applied strains, with the coordinate transformed. The macro-micro strain relationship is defined by: For multi-axial loading 11 E + 22 E (Fig. 6(a));…”

Section: Small Stress-strain Formulation With Micro-macro Transformationmentioning

confidence: 99%

“…Recent researches developed a general homogenization procedure for practical lattice structures [2,[11][12][13]. They have been involved with the continuum modeling of repetitive lattice structures including micro-macro stress-strain relationship regarding force and displacement, discrete-filed method, small-strain homogenization technique, and energy equivalent concept.…”

Section: Introductionmentioning

confidence: 99%

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Plastic continuum models for truss lattice materials with cubic symmetry

Park

Hwang

2010

J Mech Sci Technol

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Analytical and numerical studies on continuum models for the elastic-plastic behavior of uniformly periodic lattice materials under multi-axial loading are presented in this paper. This study firstly investigates the basic topology of unit cell structures for three different lattice materials with cubic symmetry. By homogenizing the mechanical properties of these materials within the unit volume space, the equivalent continuum models are obtained with the internal variables which result in the mechanical and geometrical characteristics of discrete truss members at the micro-scale such as structural packing, axial stiffness, and material density. Therefore, in this study, the strain hardening was applied to the material model of individual truss members in a valuable effort to explain the plastic behavior of the homogenized lattice material. The expansion of pressure-dependent stress surface at the macro-scale level is estimated by analytical predictions, which are derived from the equivalent continuum models. Analytical predictions show good agreements with existing results obtained by finite element (FE) analyses.

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