A fully coupled two-phase bone material model

  • Simulation of wave propagation in bone has important applications, including improvements in sonography-based early detection of medical conditions like osteoporosis as a fast, cheap and risk-free diagnosis tool [1]. In modeling, the problem is often reduced to only mechanical effects. Recent research includes electrical and magnetic effects as well [2]. Here we present a fully coupled two-phase approach for modeling bone considering mechanical, electrical and magnetic effects. The first phase describes cortical bone as a piezoelectric [3] and insulating solid. The second phase models bone marrow as a viscoelastic and conducting solid. Electrical and magnetic effects are coupled via the Maxwell equations. Based on energy methods in mechanics, a thermodynamically consistent material model is established and the weak and strong form of the boundary value problem are derived. A finite element approach is implemented and example calculations are shown.

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Author:Mischa BlaszczykORCiDGND, Klaus HacklORCiDGND
Parent Title (English):Proceedings in applied mathematics & mechanics
Place of publication:Weinheim
Document Type:Article
Date of Publication (online):2024/03/06
Date of first Publication:2021/01/25
Publishing Institution:Ruhr-Universität Bochum, Universitätsbibliothek
Issue:1, Artikel e202000144
First Page:e202000144-1
Last Page:e202000144-2
Dieser Beitrag ist auf Grund des DEAL-Wiley-Vertrages frei zugänglich.
Institutes/Facilities:Lehrstuhl für Mechanik - Materialtheorie
Dewey Decimal Classification:Technik, Medizin, angewandte Wissenschaften / Ingenieurbau, Umwelttechnik
open_access (DINI-Set):open_access
faculties:Fakultät für Bau- und Umweltingenieurwissenschaften
Licence (English):License LogoCreative Commons - CC BY 4.0 - Attribution 4.0 International