On the linear theory of micropolar plates

By Holm Altenbach, Victor A. Eremeyev. 2009

213 citations recorded by the source corpus.

Subfields: Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/fe162e8991837bc487c3153e73f0072fac6493bc

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In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

On generalized Cosserat-type theories of plates and shells: a short review and bibliography (2010, unknown): “The derivation of the micropolar plate theory proposed in [11] leads to the 6-parametric theory with the force–stress and couple–stress resultant tensors defined as T = 〈A · σ 〉, M = 〈A ·μ〉 − 〈A · zσ × i 3〉.”
Dynamic finite element formulation for Cosserat elastic plates (2015, methodology): “To this purpose, we take into account the constitutive law proposed by Altenbach & Eremeyev [53], who, starting from a Cosserat 3D flat configuration, deduce an isotropic relation for micropolar plates by integration in the thickness direction.”
Hencky-type discrete model for pantographic structures: numerical comparison with second gradient continuum models (2016, background): “, [59–62] or [63–65] for 2D or 1D generalized continua characterized by a specific microstructure).”
Pantographic metamaterials: an example of mathematically driven design and of its technological challenges (2018, background): “The theoretical interest in pantographic structures derives from the fact that, in order to describe their exotic phenomenology, one has to utilize higher gradient continuum theories [14,15] ormicromophic theories [16,17] with the related problem of homogenization [18] and of different strategies fo”
Exegesis of the Introduction and Sect. I from “Fundamentals of the Mechanics of Continua”** by E. Hellinger (2017, background): “Again the ideas presented by Hellinger have been continued after many years of apparent neglect: among those papers which seems to us have been animated by Hellinger’s spirit we found particularly interesting: [5, 7, 10, 27, 39, 59, 73–75, 83, 90] for the generalized theory of beams and [6, 8, 13, 1”