Mechanics of Generalized Continua

By Holm Altenbach, G. Maugin, V. Erofeev. 2010

220 citations recorded by the source corpus.

Subfields: Mechanics of Materials, Ocean Engineering

View Paper: https://www.semanticscholar.org/paper/8cc5796be5d92612117af9a5b3c67584b10ba748

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In Mechanics of Materials

In Ocean Engineering

Francesco dell'Isola

Citations in the corpus

On generalized Cosserat-type theories of plates and shells: a short review and bibliography (2010, unknown): “Let us mention here the books [68,95,98,147,169,232,295], where many references to other papers can be found.”
Exegesis of the Introduction and Sect. I from “Fundamentals of the Mechanics of Continua”** by E. Hellinger (2017, background): “It has to be remarked that for many years their results have been nearly ignored: we conjecture (see [62]) that this circumstance is related to the fact that their presentation is systematically based on Hamilton’s Principle.”
Analytical continuum mechanics à la Hamilton–Piola least action principle for second gradient continua and capillary fluids (2013, background): “Finally, we remark that second gradient theories are strictly related to continuum theories with microstructure (see e.g. Green and Rivlin [38–41], Mindlin [42–44], Kroner [45] and Toupin [46, 47]) as clarified in the note by Bleustein [48] and in the papers by Forest [49, 50].”
Linear plane wave propagation and normal transmission and reflection at discontinuity surfaces in second gradient 3D continua (2012, background): “A very elegant textbook which bases continuum mechanics on such a treatment is [87], while an accurate and updated review of the available results in this research field is given in [66].”
A unifying perspective: the relaxed linear micromorphic continuum (2013, unknown): “A large class of engineering materials, porous solids with deformable grains and pores, composites, polymers with deformable molecules, crystals, solids with microcracks, dislocations and disclinations [8,106], and biological tissues like “bones and muscles” may be modeled more realistically by mean”
At the origins and in the vanguard of peridynamics, non-local and higher-gradient continuum mechanics: An underestimated and still topical contribution of Gabrio Piola (2013, background): “…[2, 3] the author clearly analyses the consequences of the existence of those linguistic ideological and cultural barriers which did not permit the Latin-speaking scholars to understand the depth of Hellenistic science: the beginning of the economical and social processes leading to the Middle…”