Dynamic problems for metamaterials: Review of existing models and ideas for further research

By Dionisio Del Vescovo, Ivan Giorgio. 2014

245 citations recorded by the source corpus.

Subfields: Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/8d8f4c62bc608c12404d35013ba73b648c477aaf

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In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

An RVE-based multiscale theory of solids with micro-scale inertia and body force effects (2015, background): “At present, the increasing interest in so-called metamaterials – microsctructured materials displaying useful exotic macroscopic behaviour – puts pressure on the development of robust multiscale theories capable of predicting the overall response by accounting for the interaction of (possibly comple”
Second-gradient continua as homogenized limit of pantographic microstructured plates: a rigorous proof (2015, background): “, [30–35]) and in general to the study of a very wide and diverse set of multi-physics systems (see, e.”
Pantographic metamaterials: an example of mathematically driven design and of its technological challenges (2018, background): “1) have been proposed as a metamaterial [9], which is well described by second gradient continuum theories [10–12].”
Modelling size-dependent bending, buckling and vibrations of 2D triangular lattices by strain gradient elasticity models: Applications to sandwich beams and auxetics (2018, background): “material behaviour (see the reviews and discussion in [1, 2, 3]).”
Hencky-type discrete model for pantographic structures: numerical comparison with second gradient continuum models (2016, background): “Metamaterials are obtained by the “architectured” assemblage of multiple individual “microscopic” elements constituted by standard materials, usually arranged in (quasi-)periodic substructures [27].”
Mechanical metamaterials: a state of the art (2019, result): “It is also worth mentioning the work of Greco et al. [129] for a first-gradient model with inextensible fibres and the work of Cuomo et al. [130] for a comparison with a model enhanced with second-gradient energetic terms; Turco et al. [131] report on pantographic sheets with nonorthogonal fibres, S”
Variational Foundations and Generalized Unified Theory of RVE-Based Multiscale Models (2016, background): “Del Vescovo and Giorgio [23] provide an interesting overview covering a range of exotic materials and the tools currently available to model them.”