Linear plane wave propagation and normal transmission and reflection at discontinuity surfaces in second gradient 3D continua

By Francesco dell'Isola, A. Madeo, Luca Placidi. 2012

177 citations recorded by the source corpus.

Subfields: Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/aa442b2d3861211e7e8cd05b0f06ba267a608ff2

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

Wave propagation in relaxed micromorphic continua: modeling metamaterials with frequency band-gaps (2013, background): “[13, 58]): second gradient media are such that only acoustic dispersive waves can propagate inside the medium.”
A unifying perspective: the relaxed linear micromorphic continuum (2013, unknown): “, [39,150,156]) for waves at frequencies which are sufficiently high to interact with the underlying microstructure, the screening or transmitting properties of the interface can be sensibly enhanced.”
Granular micromechanics based micromorphic model predicts frequency band gaps (2015, background): “It is noteworthy, however, that second gradient terms are necessary for modeling some frequency dependent wave transmission/reflection phenomena at material interfaces [51,52].”
Micromechanics based second gradient continuum theory for shear band modeling in cohesive granular materials following damage elasticity (2012, methodology): “The systematic application of the method of virtual power, as presented by Germain, is attractive since it leads to unambiguous formulations and physically meaningful boundary conditions (dell’Isola and Seppecher, 1995, 1997, dell’Isola et al., 2009, 2011).”
Second-gradient continua as homogenized limit of pantographic microstructured plates: a rigorous proof (2015, methodology): “, [42–52]), no general method or technique is available yet for characterizing the discrete microstructures which must be modeled in the homogenized limit by means of generalized continua.”
Identification of multiple open and fatigue cracks in beam-like structures using wavelets on deflection signals (2016, background): “Theproblemofdetectionof location and size of a number of cracks in a structural component simultaneously is much more involved and complex than the case of a single crack [16–21].”
Reflection and transmission of plane waves at surfaces carrying material properties and embedded in second-gradient materials (2014, background): “[60] by introducing a discontinuity surface which possesses material properties influencing the overall mechanical behavior of the system.”