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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.
Viscosity of Fluid01:19

Viscosity of Fluid

Viscosity measures the resistance a fluid offers to flow and deformation. It results from internal friction between layers of fluid moving relative to one another. Dynamic viscosity, denoted by the Greek letter mu (μ), quantifies the force needed to move one fluid layer over another. For Newtonian fluids like water and air, the relationship between the shearing stress and the rate of shearing strain is linear, meaning their viscosity remains constant regardless of the applied stress.
Elastic Strain Energy for Shearing Stresses01:20

Elastic Strain Energy for Shearing Stresses

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...
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...
Members Made of Elastoplastic Material01:19

Members Made of Elastoplastic Material

The behavior of elastoplastic materials under bending stresses, particularly in structural members with rectangular cross-sections, is crucial for predicting material responses and understanding failure modes. Initially, when a bending moment is applied, the stress distribution across the section follows Hooke's Law and is linear and elastic. This distribution means the stress increases from the neutral axis to the maximum at the outer fibers, up to the elastic limit.
As the bending moment...
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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Related Experiment Video

Updated: Jun 28, 2026

Viscoelastic Characterization of Soft Tissue-Mimicking Gelatin Phantoms using Indentation and Magnetic Resonance Elastography
07:57

Viscoelastic Characterization of Soft Tissue-Mimicking Gelatin Phantoms using Indentation and Magnetic Resonance Elastography

Published on: May 10, 2022

Modelling anisotropic viscoelasticity for real-time soft tissue simulation.

Zeike A Taylor1, Olivier Comas, Mario Cheng

  • 1Centre for Medical Image Computing, University College London, Gower St, London, WC1E 6BT, UK. z.taylor@cs.ucl.ac.uk

Medical Image Computing and Computer-Assisted Intervention : MICCAI ... International Conference on Medical Image Computing and Computer-Assisted Intervention
|November 5, 2008
PubMed
Summary
This summary is machine-generated.

This study introduces an efficient method for surgical simulation, incorporating tissue anisotropy and viscoelasticity. This enhances accuracy in real-time applications like surgical simulation and image registration with minimal computational cost.

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Area of Science:

  • Computational mechanics
  • Biomedical engineering
  • Surgical simulation

Background:

  • Current surgical simulations often overlook crucial tissue properties like anisotropy and time-dependence.
  • Ignoring these factors limits the biomechanical accuracy of simulations.

Purpose of the Study:

  • To develop an efficient computational procedure for incorporating anisotropic viscohyperelastic models into surgical simulations.
  • To enable the use of complex tissue mechanical properties in real-time finite element analysis.

Main Methods:

  • Developed an efficient solution procedure for anisotropic viscohyperelastic constitutive models.
  • Integrated this procedure into nonlinear explicit dynamic finite element algorithms.
  • Utilized high-performance Graphics Processing Unit (GPU) execution for computational efficiency.

Main Results:

  • The proposed method allows for the incorporation of both anisotropy and viscoelasticity in tissue models.
  • The computational cost increase is minimal, only 5.1% compared to standard isotropic elastic models.
  • The complete framework is suitable for time-critical applications.

Conclusions:

  • The developed framework significantly improves the biomechanical accuracy of surgical simulations.
  • This advancement supports more realistic interactive surgical simulation and intraoperative image registration.
  • Efficient handling of complex tissue mechanics is now feasible for time-critical applications.