Journal ArticleDOI
Micropolar beam models for lattice grids with rigid joints
Ahmed K. Noor,Michael P. Nemeth +1 more
TLDR
In this article, a simple rational approach is presented for developing micropolar beam models for large repetitive beam-like planar lattices with rigid joints, which have independent microrotation, and displacement fields and are characterized by their strain and kinetic energies.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 1980-02-01. It has received 87 citations till now. The article focuses on the topics: Equations of motion.read more
Citations
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Journal ArticleDOI
Lattice models in micromechanics
TL;DR: In this article, the potential of lattice models for micromechanics applications is discussed, and a detailed presentation of one-dimensional and planar lattice model for classical continua is given.
Journal ArticleDOI
Continuous modeling of lattice structures by homogenization
H. Tollenaere,D. Caillerie +1 more
TL;DR: In this paper, a two-dimensional quasi-periodic lattice truss with pin-jointed nodes in the case of static deformation is presented, and a simple illustrative example is given.
Journal ArticleDOI
Mechanics of carbon nanotubes: applicability of the continuum-beam models
TL;DR: In this article, a scaling analysis of NT buckling and geometric parameters (e.g., diameter and length) is carried out to determine the key non-dimensional parameters that control the buckling strains and modes of NN buckling.
Journal ArticleDOI
Micropolar elasticity theory: a survey of linear isotropic equations, representative notations, and experimental investigations
TL;DR: In this paper, a review of the linear isotropic theory of micropolar elasticity and its development with a focus on the notation used to represent the elastic moduli and the ex...
Journal ArticleDOI
Development of analytical vibration solutions for microstructured beam model to calibrate length scale coefficient in nonlocal Timoshenko beams
TL;DR: In this article, an analytical approach for solving the free vibration problem of a microstructured beam model, in which transverse displacement springs are added to allow for the transverse shear deformation effect in addition to the rotational springs.
References
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ReportDOI
Linear theory of micropolar elasticity
TL;DR: In this article, a special class of micro-elastic materials called Micropolar Solids are presented for couple stress and distributed body couples, and the couple stress theory is shown to emanate as a spacial case of the present theory.
Journal ArticleDOI
Continuum Models for Beam- and Platelike Lattice Structures
TL;DR: In this paper, a simple, rational approach is presented for developing continuum models for large repetitive beam and plate-like lattices with arbitrary configurations subjected to static, thermal, and dynamic loadings.
Journal ArticleDOI
Analogy between micropolar continuum and grid frameworks under initial stress
Zdeněk P. Bažant,M. Christensen +1 more
TL;DR: In this article, it is shown that the micropolar medium is a continuum approximation to large grid frameworks under initial axial forces, and the finite difference method, which is one possible means for the analysis of the overall behavior of a large framework, is investigated and found to give rather accurate results using much fewer unknowns than the exact analysis.