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Related Concept Videos

Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity01:15

Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity

Deformation occurs in axial and transverse directions when an axial load is applied to a slender bar. This deformation impacts the cubic element within the bar, transforming it into either a rectangular parallelepiped or a rhombus, contingent on its orientation. This transformation process induces shearing strain. Axial loading elicits both shearing and normal strains. Applying an axial load instigates equal normal and shearing stresses on elements oriented at a 45° angle to the load axis.
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In analyzing a structural member composed of two different materials with identical cross-sectional areas, it is crucial to understand how their distinct elastic properties affect the member's response under load. The analysis involves assessing stress and strain distributions using the transformed section concept, which accounts for variations in material properties.
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Apparent Young's modulus of human radius using inverse finite-element method.

M R Bosisio1, M Talmant, W Skalli

  • 1Laboratoire de Biomécanique, ENSAM-CNRS, Paris, France.

Journal of Biomechanics
|November 14, 2006
PubMed
Summary

This study developed a novel inverse finite-element method to measure elastic and yield properties of human radial cortical bone. The method overcomes challenges with thin bone samples, providing crucial biomechanical data for clinical applications.

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Area of Science:

  • Biomechanics
  • Orthopedic Research
  • Materials Science

Background:

  • Assessing elastic and failure properties of radial cortical bone is clinically important.
  • Existing methods like quantitative ultrasound (QUS) and peripheral quantitative computed tomography (p-QCT) have limitations for the distal radius due to thin cortical bone.
  • Mechanical properties of distal radius cortical bone are understudied due to experimental difficulties.

Purpose of the Study:

  • To introduce and validate an inverse finite-element method (FEM) strategy for measuring elastic and yield properties of human radial cortical bone specimens.
  • To overcome experimental challenges associated with testing thin cortical bone samples from the radial diaphysis.

Main Methods:

  • Developed specimen-specific three-dimensional finite-element models (3D-FEM) from 20 mm thick human radial diaphysis portions (n=40, ages 45-90).
  • Coupled mechanical testing parameters with isotropic linear-elastic simulations to perform longitudinal elastic constant and stress characterizations.
  • Utilized an inverse FEM approach to determine material properties.

Main Results:

  • The mean apparent Young's modulus for radial cortical bone was 16 GPa (SD 1.8).
  • The mean yield stress was 153 MPa (SD 33), with a breaking load of 12,946 N (SD 3644).
  • Calculated structural effective strain at yield (ε(y)=0.0097) and failure (ε(u)=0.0154), with a mean cortical thickness of 2.9 mm (SD 0.6).

Conclusions:

  • The inverse 3D-FEM strategy effectively measures the elastic and yield properties of human radial cortical bone.
  • This method provides a viable approach for investigating bone mechanical properties when traditional mechanical testing is challenging.
  • The findings contribute valuable biomechanical data for the distal radius, aiding in clinical assessments and understanding bone health.