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Related Experiment Video

Updated: Jun 23, 2026

Subject-specific Musculoskeletal Model for Studying Bone Strain During Dynamic Motion

Subject-specific Musculoskeletal Model for Studying Bone Strain During Dynamic Motion

Published on: April 11, 2018

Studies on constitutive equation that models bone tissue.

Marek Pawlikowski¹, Marian Klasztorny, Konstanty Skalski

¹Institute of Mechanics and Printing, Warsaw University of Technology, Warszawa, Poland. mpawlik1@wip.pw.edu.pl

Acta of Bioengineering and Biomechanics

|April 24, 2009

Summary

A new method models bone's viscoelastic properties, considering anisotropy and non-homogeneity. This approach uses creep tests to determine elastic and viscoelastic constants for accurate bone rheological analysis.

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Area of Science:

Biomechanics
Materials Science
Orthopedics

Background:

Bone exhibits complex viscoelastic behavior crucial for understanding its mechanical function.
Existing models often simplify bone's anisotropic and non-homogeneous nature.
Accurate characterization of bone's viscoelasticity is essential for advanced structural analysis and medical applications.

Purpose of the Study:

To develop a method for identifying viscoelastic constitutive equations for bone.
To incorporate anisotropy, non-homogeneity, and bone remodeling into rheological models.
To establish a robust algorithm for determining bone's elastic and viscoelastic material parameters.

Main Methods:

Developed a method based on a monotropic rheological model for bone.
Utilized creep compression and shear tests on calf femur samples.
Employed fractional exponential and normal exponential functions to describe rheological processes.
Formulated constitutive equations in compliance form.

Main Results:

Successfully determined five elastic and viscoelastic constants for a monotropic bone material.
Developed and utilized a computer program to execute the material constant determination algorithm.
Demonstrated a method for calculating critical material constants for strain and stress analysis.

Conclusions:

The proposed method accurately identifies viscoelastic constitutive equations for bone.
The approach accounts for key bone characteristics like anisotropy and non-homogeneity.
This work provides a valuable tool for rheological modeling and mechanical analysis of bone tissue.