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Strain-Energy Density01:20

Strain-Energy Density

434
Understanding the strain energy density in materials under axial load is crucial for evaluating their mechanical behavior and durability. When a rod is subjected to such a load, it elongates and stores energy, known as strain energy, as potential energy within the material. This energy is measured in terms of energy per unit volume.
In the elastic region of a material, the relationship between the stress and the strain is linear and follows Hooke's Law. The strain energy density in this...
434
Elastic Strain Energy for Normal Stresses01:22

Elastic Strain Energy for Normal Stresses

175
Strain energy quantifies the energy stored within a material due to deformation under loading conditions, a fundamental concept in materials science and engineering. The strain energy can be modeled when a material is subjected to axial loading with uniformly distributed stress. In this scenario, the stress experienced by the material is the internal force divided by the cross-sectional area, and the strain induced is directly proportional to this stress through the modulus of elasticity.
If...
175
Elastic Strain Energy for Shearing Stresses01:20

Elastic Strain Energy for Shearing Stresses

199
As discussed in previous lessons, strain energy in a material is the energy stored when it is elastically deformed, a concept crucial in materials science and mechanical engineering. This energy results from the internal work done against the cohesive forces within the material. When a material undergoes shearing stress and corresponding shearing strain, the strain energy density, which is the energy stored per unit volume, is calculated. Within the elastic limit, where the stress is...
199
Strain Energy01:13

Strain Energy

444
Strain energy is a fundamental concept in the field of materials science and structural engineering, describing the energy absorbed by a material or structure when it is deformed under load.
Consider a rod that is fixed at one end and subjected to an axial force at the free end. This axial force induces stress within the rod, leading to its elongation. As the axial force increases, so does the elongation of the rod, illustrating a direct relationship between the force applied and the resulting...
444
True Stress and True Strain01:28

True Stress and True Strain

322
Engineering stress is calculated as the load divided by the original, undeformed cross-sectional area. It approximates a material under load. This approximation is especially relevant post-yield in ductile materials. Though engineering stress-strain diagrams are often used for their convenience and accessibility, they can sometimes fall short in accuracy, particularly when dealing with large strain values.
In contrast, true stress offers a more precise portrayal. It is computed by dividing the...
322
Yield Criteria for Ductile Materials under Plane Stress01:25

Yield Criteria for Ductile Materials under Plane Stress

168
In designing structural elements and machine parts using ductile materials, it is crucial to ensure that these components withstand applied stresses without yielding. Yielding is initially determined through a tensile test, which evaluates the material's response to uniaxial stress. However, tensile stress is insufficient when components face biaxial or plane stress conditions This condition requires advanced criteria to predict failure.
The Maximum Shearing Stress Criterion, also known as...
168

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Related Experiment Video

Updated: Jul 12, 2025

Manufacturing Abdominal Aorta Hydrogel Tissue-Mimicking Phantoms for Ultrasound Elastography Validation
09:32

Manufacturing Abdominal Aorta Hydrogel Tissue-Mimicking Phantoms for Ultrasound Elastography Validation

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Aneurysm Rupture Prediction Based on Strain Energy-CFD Modelling.

Ahmed M Al-Jumaily1, Abd Halim Bin Embong2, Mohammad Al-Rawi3

  • 1Institute of Biomedical Technologies, Auckland University of Technology, Auckland 1010, New Zealand.

Bioengineering (Basel, Switzerland)
|October 28, 2023
PubMed
Summary

This study introduces a Patient-Specific Aneurysm Model (PSAM) using Computational Fluid Dynamics (CFD) to predict aneurysm rupture. The model analyzes arterial wall mechanics from ultrasound data, identifying weakening points for rupture risk assessment.

Keywords:
CFDaneurysmcyclic loadingenergy strain functionmechanical properties

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Area of Science:

  • Biomedical Engineering
  • Computational Mechanics
  • Medical Imaging

Background:

  • Aneurysms pose a significant rupture risk, necessitating accurate predictive models.
  • Current diagnostic methods for abdominal aortic aneurysm (AAA) rupture risk have limitations.
  • Understanding arterial wall biomechanics is crucial for predicting aneurysm failure.

Purpose of the Study:

  • To develop and validate a Patient-Specific Aneurysm Model (PSAM) for predicting aneurysm rupture.
  • To integrate Computational Fluid Dynamics (CFD) with patient-specific biomechanical data.
  • To identify arterial weakening points preceding rupture using multivariant factors.

Main Methods:

  • Development of a PSAM incorporating energy strain function and stress-strain relationships.
  • Analysis of ultrasound images (6-9 MHz Doppler transducer) for real-time arterial deformation data.
  • Extrapolation of patient-specific cyclic loading from historical stress-strain data and biaxial tensile tests for material properties.

Main Results:

  • The PSAM successfully combines biomechanical properties and patient-specific loading to predict rupture.
  • Identification of correlations between wall deformation, time-dependent material response, and tissue failure modes.
  • Demonstration of the model's ability to pinpoint arterial weakening preceding rupture.

Conclusions:

  • The developed PSAM offers a novel approach to aneurysm rupture prediction.
  • The method integrates ultrasound imaging with biomechanical analysis for enhanced diagnostic capabilities.
  • This predictive model can be embedded in ultrasound diagnostics for potential AAA rupture assessment.