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Related Experiment Video

Updated: May 22, 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

An anisotropic elastic-viscoplastic damage model for bone tissue.

J J Schwiedrzik¹, P K Zysset

¹Institute of Lightweight Design and Structural Biomechanics, Vienna University of Technology, Gusshausstr. 27-29, 1040, Vienna, Austria. jakob.schwiedrzik@istb.unibe.ch

Biomechanics and Modeling in Mechanobiology

|April 25, 2012

Summary

A novel constitutive model simulates bone's anisotropic elastic-viscoplastic damage, enhancing understanding of its mechanical behavior under load. This model accurately predicts rate-dependent properties and damage accumulation in lamellar bone.

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Last Updated: May 22, 2026

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

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Published on: April 11, 2018

A Coupled Experiment-finite Element Modeling Methodology for Assessing High Strain Rate Mechanical Response of Soft Biomaterials

A Coupled Experiment-finite Element Modeling Methodology for Assessing High Strain Rate Mechanical Response of Soft Biomaterials

Published on: May 18, 2015

Area of Science:

Biomechanics
Materials Science
Computational Mechanics

Background:

Bone exhibits complex anisotropic, elastic-viscoplastic, and damage behaviors.
Accurate constitutive models are crucial for understanding bone mechanics and failure.
Existing models may not fully capture the rate-dependent and damage coupling phenomena in lamellar bone.

Purpose of the Study:

To develop and validate a new anisotropic elastic-viscoplastic damage constitutive model for bone.
To incorporate micromechanics-based homogenization for effective elastic properties.
To simulate bone's dissipative processes, including viscoplasticity and damage coupling.

Main Methods:

An eccentric elliptical yield criterion and nonlinear isotropic hardening were employed.
A micromechanics-based multiscale homogenization scheme was utilized.
The Perzyna formulation for viscoplasticity and a scalar damage function were implemented.
A polynomial flow rule captured rate-dependent post-yield behavior.
The model was implemented in Abaqus/Standard as a UMAT subroutine with a consistent tangent operator.

Main Results:

The developed constitutive model accurately represents anisotropic elastic-viscoplasticity and damage in bone.
Numerical simulations, including single-element tests and nano-indentation, validated the model's implementation, convergence, and accuracy.
The model successfully captures the rate-dependent post-yield behavior of lamellar bone.

Conclusions:

The proposed anisotropic elastic-viscoplastic damage model provides a robust framework for simulating bone's mechanical response.
The integration of micromechanics and advanced constitutive formulations enhances predictive capabilities.
This model serves as a valuable tool for computational biomechanics and bone tissue engineering applications.