Wave Propagation in Radial and Curved Geometries and in Multiphysics Systems

• Grant number: 25/22646-7
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: December 01, 2025
• End date: November 30, 2027
• Field of knowledge: Engineering - Mechanical Engineering - Mechanics of Solids
• Principal Investigator: José Roberto de França Arruda
• Grantee: Diego Salam Claro
• Host Institution: Faculdade de Engenharia Mecânica (FEM). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 18/15894-0 - Periodic structure design and optimization for enhanced vibroacoustic performance: ENVIBRO, AP.TEM

Abstract

The control of wave propagation in continuous media is fundamental for the mitigation of vibrations and noise. In this context, periodic or quasi-periodic materials emerge as promising solutions for vibroacoustic control. This project proposes the investigation of elastic structures with potential applications in several areas of vibroacoustics, such as vibration isolation, acoustic barriers, and others.The analysis of wave propagation in periodic media is traditionally carried out based on the unit cell, using Bloch-Floquet's theorem in combination with different techniques, such as analytical methods, finite elements with periodic boundary conditions, Plane Wave Expansion (PWE), and Wave Finite Element (WFE). Although wave propagation in one- and two-dimensional systems is widely documented in the literature, there is a growing interest in more complex geometries, such as those with radial periodicity or involving different physical domains (multiphysics), including fluid-filled phononic crystals. Furthermore, curvilinear and hyperbolic systems (in which the medium's geometry is non-Euclidean) have attracted attention due to their unique propagation properties, which are still little explored in the context of periodic structures.This research aims to deepen the understanding of wave propagation in such complex systems by proposing the development of dedicated analytical and numerical methods, as well as the formulation and validation of new models for advanced metamaterials with unconventional wave behavior. (AU)