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Strain and Elastic Modulus01:15

Strain and Elastic Modulus

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The quantity that describes the deformation of a body under stress is known as strain. Strain is given as a fractional change in either length, volume, or geometry under tensile, volume (also known as bulk), or shear stress, respectively, and is a dimensionless quantity. The strain experienced by a body under tensile or compressive stress is called tensile or compressive strain, respectively. In contrast, the strain experienced under bulk stress and shear stress is known as volume and shear...
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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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Dynamic Modulus of Elasticity of Concrete01:16

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The dynamic modulus of elasticity assesses how a concrete structure deforms under impact or dynamic loads. It is typically higher than the static modulus of elasticity, measured under slow, steady loading conditions.
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Bulk Modulus01:21

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The bulk modulus is a scientific term used to describe a material's resistance to uniform compression. It is the proportionality constant that links a change in pressure to the resulting relative volume change.
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Fineness Modulus01:19

Fineness Modulus

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The fineness modulus (FM) of aggregate is a numerical index that measures the coarseness or fineness of the particles. It is calculated by adding the cumulative percentages of aggregate retained on each of a specified series of sieves and dividing the sum by 100.
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Mesh Analysis01:20

Mesh Analysis

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Mesh analysis is a valuable method for simplifying circuit analysis using mesh currents as key circuit variables. Unlike nodal analysis, which focuses on determining unknown voltages, mesh analysis applies Kirchhoff's voltage law (KVL) to find unknown currents within a circuit. This method is particularly convenient in reducing the number of simultaneous equations that need to be solved.
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Author Spotlight: Characterizing Environmental Biofilm Mechanics Using Optical Coherence Elastography and its Applications in Wastewater Treatment
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Adaptive mesh refinement for elastic modulus reconstruction in elastography.

Wenxia Wang1,2, Wei Zou1, Danfeng Hu1

  • 11 School of Electronic and Information Engineering, Soochow University, Suzhou, China.

Proceedings of the Institution of Mechanical Engineers. Part H, Journal of Engineering in Medicine
|January 11, 2018
PubMed
Summary
This summary is machine-generated.

This study introduces an adaptive mesh refinement method for elastography to improve elastic modulus reconstruction accuracy. The technique accurately reconstructs tissue inclusion shapes and Young

Keywords:
ElastographyPoisson’s ratioYoung’s modulusadaptive mesh refinementelastic modulus reconstructionfinite element method

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Area of Science:

  • Medical Imaging
  • Biomedical Engineering
  • Computational Mechanics

Background:

  • Accurate elastic modulus reconstruction in elastography is vital for diagnosing tissue abnormalities.
  • Finite element method (FEM) based elastography accuracy is significantly influenced by mesh quality and its conformity to tissue structures.
  • Existing methods often struggle with precise representation of complex internal geometries.

Purpose of the Study:

  • To develop and validate an adaptive mesh refinement strategy for elastography.
  • To enhance the accuracy of elastic modulus reconstruction by improving mesh conformity to tissue inclusion shapes.
  • To enable reconstruction without prior knowledge of internal geometric details.

Main Methods:

  • An adaptive mesh refinement strategy based on strain image intensity distribution was proposed.
  • Element homogeneity was measured using the variance of strain distribution within each mesh element.
  • A two-stage refinement process was implemented to optimize mesh-to-tissue geometry fitting.

Main Results:

  • The proposed strategy ensures mesh coincidence with inclusion shapes in simulated tissue.
  • The two-stage adaptive mesh refinement algorithm demonstrated effective reconstruction of Young's moduli and inclusion shapes.
  • The method achieved accurate and rapid reconstruction without requiring prior geometric information.

Conclusions:

  • Adaptive mesh refinement is crucial for accurate FEM-based elastography.
  • The proposed method successfully reconstructs tissue mechanical properties and internal structures.
  • This technique offers a robust solution for quantitative elastography, particularly for complex geometries.