Micro‐to‐macro interactions in complex bodies: Wavelet‐based post‐processing detection. (6th May 2021)

• Record Type: Journal Article
• Authors: Bosi, Anna; Mariano, Paolo Maria; Salvatori, Luca
• Is Part Of: Mathematical methods in the applied sciences. Volume 44:Number 13(2021)
• Page Start: 10541
• Page End: 10563
• Publication Date: 2021-05-06
• Subjects: complex materials -- cracks -- finite elements -- microstructures -- quasicrystals -- wavelets; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.7429
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : We propose to couple finite element simulations and wavelet‐based post‐processing analysis to explore deeply the interaction degree of microscopic events on the gross behavior of complex bodies (which class includes metamaterials), above all around material or load discontinuities. After summarizing the theoretical structures our procedure refers to, as a sample case we select a special class of complex materials, namely, quasicrystals, and show how the proposed scheme works. As a result, we point out the effects of atomic rearrangements characterizing the quasicrystal structure on the stress field around a crack tip in static and dynamical setting. Our procedure can be also used for the analysis of dynamic experimental data. In this case, it allows us to detect discontinuities at least along directions selected within the body. In turn, our procedure can be used for monitoring purposes.