A peridynamic formulation for nonlocal bone remodelling

Schaller E, Javili A, Schmidt I, Papastavrou A, Steinmann P (2022)

Publication Type: Journal article

Publication year: 2022

Journal

Computer Methods in Biomechanics and Biomedical Engineering Taylor & Francis

DOI: 10.1080/10255842.2022.2039641

Abstract

Bone remodelling is a complex biomechanical process, which has been studied widely based on the restrictions of local continuum theory. To provide a nonlocal bone remodelling framework, we propose, for the first time, a peridynamic formulation on the macroscale. We illustrate our implementation with a common benchmark test as well as two load cases of the proximal femur. On the one hand, results of our peridynamic model with diminishing nonlocality measure converge to the results of a local finite element model. On the other hand, increasing the neighbourhood size shows to what extent the additional degree of freedom, the nonlocality, can influence the density evolution.

Authors with CRIS profile

Emely Schaller Lehrstuhl für Technische Mechanik (LTM) Paul Steinmann Lehrstuhl für Technische Mechanik (LTM)

Involved external institutions

Bilkent University / Bilkent Üniversitesi TR Turkey (TR) Technische Hochschule Nürnberg "Georg Simon Ohm" DE Germany (DE)

How to cite

APA:

Schaller, E., Javili, A., Schmidt, I., Papastavrou, A., & Steinmann, P. (2022). A peridynamic formulation for nonlocal bone remodelling. Computer Methods in Biomechanics and Biomedical Engineering. https://doi.org/10.1080/10255842.2022.2039641

MLA:

Schaller, Emely, et al. "A peridynamic formulation for nonlocal bone remodelling." Computer Methods in Biomechanics and Biomedical Engineering (2022).

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