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Related Concept Videos

Deformation of Member under Multiple Loadings01:11

Deformation of Member under Multiple Loadings

When a rod is made of different materials or has various cross-sections, it must be divided into parts that meet the necessary conditions for determining the deformation. These parts are each characterized by their internal force, cross-sectional area, length, and modulus of elasticity. These parameters are then used to compute the deformation of the entire rod.
In the case of a member with a variable cross-section, the strain is not constant but depends on the position. The deformation of an...
Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity01:15

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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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Mesh adaptation for improving elasticity reconstruction using the FEM inverse problem.

Orcun Goksel1, Hani Eskandari, Septimiu E Salcudean

  • 1Computer Vision Laboratory, Swiss Federal Institute of Technology (ETH), 8092 Zürich, Switzerland. ogoksel@ethz.ch

IEEE Transactions on Medical Imaging
|November 30, 2012
PubMed
Summary

Generating problem-specific meshes significantly improves elastic parameter reconstruction in viscoelasticity. Adapted meshes enhance resolution and accuracy, outperforming standard meshes even with noise.

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Area of Science:

  • Computational mechanics
  • Biomedical engineering
  • Medical imaging

Background:

  • Finite element method (FEM) is standard for modeling tissue deformation in inverse problems.
  • Regular-grid structured meshes are typically used due to unknown internal geometry.
  • Existing methods face limitations in accurately reconstructing elastic parameters.

Purpose of the Study:

  • To develop and evaluate problem-specific meshes for improved inverse problem elastic parameter reconstruction.
  • To investigate the impact of mesh adaptation on reconstruction accuracy and resolution.
  • To assess the performance of adapted meshes under varying noise conditions and in vivo scenarios.

Main Methods:

  • Generation of problem-specific meshes using an optimization-based mesh adaptation approach from axial strain images.
  • Iterative elasticity reconstruction using the reflective trust-region method.
  • Simulation studies on numerical phantoms and preliminary in vivo data analysis.

Main Results:

  • Adapted meshes significantly improve Young's modulus reconstruction, reducing root-mean-square error by 40%-72%.
  • Contrast-to-noise ratio improved 4-52 times in simulations.
  • Adapted meshes demonstrate superior performance over structured meshes, even with up to 20% noise.

Conclusions:

  • Problem-specific, strain-based adapted meshes substantially enhance the resolution and accuracy of elasticity reconstruction.
  • The proposed mesh adaptation technique offers significant advantages over conventional methods, particularly in noisy conditions.
  • The approach is validated through phantom studies and preliminary in vivo results, showing promise for clinical applications.