Work

A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions

Year: 2025

Type: article

Abstract: A model for the generation of heat due to mechanical losses during acoustic wave propagation in a solid is considered in a Kelvin–Voigt type framework. In contrast to previous studies on related thermoviscoelastic models, in line with recent experimental findings the present paper focuses on situations in which the elastic parameters depend on the temperature; in particular, this aligns with measurements that reveal an increase of certain components in the elasticity tensor with growing temperature. Despite an apparent loss of mathematically favorable structural properties thereby encountered, in the framework of a suitably generalized concept of solvability a result on global existence of solutions is derived under mild assumptions which, in particular, do not involve any smallness condition on the initial data.

Source: Mathematical Models and Methods in Applied Sciences

DOI: 10.1142/s0218202525500447

Authors: Leander Claes, Johannes Lankeit, Michael Winkler

Institutions: Paderborn University, Leibniz University Hannover

Language: English

Topic: Thermoelastic and Magnetoelastic Phenomena

Subfield: Mechanics of Materials

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funder: Deutsche Forschungsgemeinschaft

Award: FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)