Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

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...
Electrostatic Boundary Conditions in Dielectrics01:27

Electrostatic Boundary Conditions in Dielectrics

When an electric field passes from one homogeneous medium to another, crossing the boundary between the two mediums imparts a discontinuity in the electric field. This results in electrostatic boundary conditions that depend on the type of mediums the field propagates through.
Consider a case where both the mediums across a boundary are two different dielectric materials. Recall that the electric field and electric displacement are proportional and related through the material's permittivity.
Poisson's And Laplace's Equation01:25

Poisson's And Laplace's Equation

The electric potential of the system can be calculated by relating it to the electric charge densities that give rise to the electric potential. The differential form of Gauss's law expresses the electric field's divergence in terms of the electric charge density.
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.
Elastic Curve from the Load Distribution01:16

Elastic Curve from the Load Distribution

The structural behavior of beams under distributed loads is critical for engineering analysis, which focuses on predicting how beams bend and react under such conditions. Different types of beams (e.g., cantilever, supported, or overhanging) behave differently under distributed load conditions.
For all beams, the analysis of the beam's reaction to distributed loads begins by understanding the relationship between a beam's load and the resulting shear forces and bending moments. Initially, this...
Electrostatic Boundary Conditions01:16

Electrostatic Boundary Conditions

Consider an external electric field propagating through a homogeneous medium. When the electric field crosses the surface boundary of the medium, it undergoes a discontinuity. The electric field can be resolved into normal and tangential components. The amount by which the field changes at any boundary is given by the difference between the field components above and below the surface boundary.
The surface integral of an electric field is given by Gauss's law in integral form and is related to...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

A Multivariate Statistical Approach to Wrinkling Detection in Composites.

IEEE transactions on ultrasonics, ferroelectrics, and frequency control·2024
Same author

Finite element modelling strategy for determining directivity of thermoelastically generated laser ultrasound.

Ultrasonics·2024
Same author

Interpretable and Explainable Machine Learning for Ultrasonic Defect Sizing.

IEEE transactions on ultrasonics, ferroelectrics, and frequency control·2023
Same author

Suppression of front and back surface reflections in ultrasonic analytic-signal responses from composites.

Ultrasonics·2022
Same author

Uncertainty Quantification for Deep Learning in Ultrasonic Crack Characterization.

IEEE transactions on ultrasonics, ferroelectrics, and frequency control·2022
Same author

Domain Adapted Deep-Learning for Improved Ultrasonic Crack Characterization Using Limited Experimental Data.

IEEE transactions on ultrasonics, ferroelectrics, and frequency control·2022

Related Experiment Video

Updated: Jun 17, 2026

Finite Element Modelling of a Cellular Electric Microenvironment
08:23

Finite Element Modelling of a Cellular Electric Microenvironment

Published on: May 18, 2021

Efficient frequency-domain finite element modeling of two-dimensional elastodynamic scattering.

Paul D Wilcox1, Alexander Velichko

  • 1Department of Mechanical Engineering, University of Bristol, Queen's Building, University Walk, Bristol BS8 1TR, United Kingdom. p.wilcox@bristol.ac.uk

The Journal of the Acoustical Society of America
|January 12, 2010
PubMed
Summary

This study introduces a frequency-domain finite element method for efficient scatterer characterization. The technique minimizes model executions and computational domain size for comprehensive scattering analysis.

More Related Videos

Finite Element Modeling for the Simulation of the Quasi-Static Compression of Corrugated Tapered Tubes
06:34

Finite Element Modeling for the Simulation of the Quasi-Static Compression of Corrugated Tapered Tubes

Published on: January 6, 2023

Related Experiment Videos

Last Updated: Jun 17, 2026

Finite Element Modelling of a Cellular Electric Microenvironment
08:23

Finite Element Modelling of a Cellular Electric Microenvironment

Published on: May 18, 2021

Finite Element Modeling for the Simulation of the Quasi-Static Compression of Corrugated Tapered Tubes
06:34

Finite Element Modeling for the Simulation of the Quasi-Static Compression of Corrugated Tapered Tubes

Published on: January 6, 2023

Area of Science:

  • Electromagnetics and Computational Physics
  • Numerical Methods in Engineering

Background:

  • Characterizing finite-sized scatterers is crucial in various electromagnetic applications.
  • Traditional methods often require extensive computational resources and multiple simulations.

Purpose of the Study:

  • To present a novel frequency-domain finite element technique for complete scatterer characterization.
  • To reduce the number of model executions and the spatial modeling domain size.
  • To enable efficient extraction of near- and far-field scattering behavior.

Main Methods:

  • Implementation of a frequency-domain finite element technique using commercial software.
  • Application of a specific forcing profile to generate uni-modal plane wave incidence.
  • Decomposition of scattered fields into modes and far-field scattering coefficients.
  • Representation of scattering data in a scattering matrix and its Fourier domain equivalent.

Main Results:

  • The developed technique allows for complete characterization of finite-sized scatterers.
  • Scattering matrices and their Fourier coefficient representations efficiently capture scattering responses.
  • Near- and far-field scattering behavior can be accurately extracted from Fourier coefficients.
  • Modeling accuracy is validated through comparison with analytical solutions.

Conclusions:

  • The frequency-domain finite element technique offers an efficient and accurate approach for scatterer characterization.
  • The method significantly reduces computational cost compared to conventional techniques.
  • Guidelines for parameter selection ensure reliable modeling outcomes.