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

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving01:29

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

226
Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
226
Unsymmetric Loading of Thin-Walled Members: Problem Solving01:07

Unsymmetric Loading of Thin-Walled Members: Problem Solving

413
The shear center of a channel section with uniform thickness, height, and width, is determined by computing the shear force in the member and calculating the moments of inertia of the sections.
To compute the shear forces, find the shear flow at a specific distance from the endpoint using the vertical shear and the moment of inertia values. The total shear force on the flange is calculated by integrating the shear flow from one end of the flange to the other.
Next, calculate the moments of...
413
Indeterminate Structure01:18

Indeterminate Structure

1.2K
Indeterminate structures refer to structures where internal forces and reactions cannot be determined using only the equations of static equilibrium.  Indeterminate structures have more unknown forces and reaction forces than equations of static equilibrium that can be used to determine them. Indeterminate structures are often used in engineering to create complex, efficient, and aesthetically pleasing structures. There are various types of indeterminate structures used in engineering and...
1.2K
Three-Dimensional Force System:Problem Solving01:30

Three-Dimensional Force System:Problem Solving

1.3K
A three-dimensional force system refers to a scenario in which three forces act simultaneously in three different directions. This type of problem is commonly encountered in physics and engineering, where it is necessary to calculate the resultant force on the system, which can then be used to predict or analyze the behavior of the object or structure under consideration.
To solve a three-dimensional force system, first resolve each force into its respective scalar components. Do this using...
1.3K
Unsymmetric Loading of Thin-Walled Members01:23

Unsymmetric Loading of Thin-Walled Members

327
Thin-walled members with non-symmetrical cross-sections are vital to engineering structures, offering material efficiency and structural integrity. However, unsymmetrical loading on these members leads to complex stress distributions, resulting in simultaneous bending and twisting can cause deformation or structural failure. The interaction between bending and twisting requires detailed analysis to ensure structural resilience.
The concept of the shear center is crucial in countering the...
327
Internal Loadings in Structural Members: Problem Solving01:28

Internal Loadings in Structural Members: Problem Solving

1.6K
When designing or analyzing a structural member, it is important to consider the internal loadings developed within the member. These internal loadings include normal force, shear force, and bending moment. Engineers can ensure that the structural member can support the applied external forces by calculating these internal loadings.
To illustrate this, let's consider a beam OC of 5 kN, inclined at an angle of 53.13° with the horizontal and supported at both ends. Determine the internal...
1.6K

You might also read

Related Articles

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

Sort by
Same author

Prediction of the structure and mechanical properties of polycaprolactone-silica nanocomposites and the interphase region by molecular dynamics simulations: the effect of PEGylation.

Soft matter·2022
Same author

ESB Clinical Biomechanics Award 2020: Pelvis and hip movement strategies discriminate typical and pathological femoral growth - Insights gained from a multi-scale mechanobiological modelling framework.

Clinical biomechanics (Bristol, Avon)·2021
Same author

A multi-scale modelling framework combining musculoskeletal rigid-body simulations with adaptive finite element analyses, to evaluate the impact of femoral geometry on hip joint contact forces and femoral bone growth.

PloS one·2020
Same author

The use of mixed collagen-Matrigel matrices of increasing complexity recapitulates the biphasic role of cell adhesion in cancer cell migration: ECM sensing, remodeling and forces at the leading edge of cancer invasion.

PloS one·2020
Same author

Localized tissue mineralization regulated by bone remodelling: A computational approach.

PloS one·2017
Same author

Involvement of Cellular Prion Protein in α-Synuclein Transport in Neurons.

Molecular neurobiology·2017

Related Experiment Video

Updated: Dec 22, 2025

Optical Coherence Tomography Based Biomechanical Fluid-Structure Interaction Analysis of Coronary Atherosclerosis Progression
13:07

Optical Coherence Tomography Based Biomechanical Fluid-Structure Interaction Analysis of Coronary Atherosclerosis Progression

Published on: January 15, 2022

4.3K

An unstructured immersed finite element method for nonlinear solid mechanics.

Thomas Rüberg1,2, Fehmi Cirak3, José Manuel García Aznar1

  • 11Multiscale in Mechanical and Biological Engineering (M2BE), University of Zaragoza, María de Luna 3, 50018 Zaragoza, Spain.

Advanced Modeling and Simulation in Engineering Sciences
|May 2, 2020
PubMed
Summary

This study introduces an immersed finite element technique for nonlinear solid mechanics, improving boundary condition handling and enabling analysis of complex geometries without boundary-fitted meshes.

Keywords:
CSG modellingCut-element stabilisationImmersed finite elementsImplicit geometryNitsche’s methodNonlinear solid mechanics

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

2.8K
Intravascular Ultrasound Image-Based Finite Element Modeling Approach for Quantifying In Vivo Mechanical Properties of Human Coronary Artery
06:18

Intravascular Ultrasound Image-Based Finite Element Modeling Approach for Quantifying In Vivo Mechanical Properties of Human Coronary Artery

Published on: December 6, 2024

901

Related Experiment Videos

Last Updated: Dec 22, 2025

Optical Coherence Tomography Based Biomechanical Fluid-Structure Interaction Analysis of Coronary Atherosclerosis Progression
13:07

Optical Coherence Tomography Based Biomechanical Fluid-Structure Interaction Analysis of Coronary Atherosclerosis Progression

Published on: January 15, 2022

4.3K
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

2.8K
Intravascular Ultrasound Image-Based Finite Element Modeling Approach for Quantifying In Vivo Mechanical Properties of Human Coronary Artery
06:18

Intravascular Ultrasound Image-Based Finite Element Modeling Approach for Quantifying In Vivo Mechanical Properties of Human Coronary Artery

Published on: December 6, 2024

901

Area of Science:

  • Computational Mechanics
  • Solid Mechanics
  • Numerical Analysis

Background:

  • Boundary-value and interface problems in nonlinear solid mechanics require robust numerical methods.
  • Accurate handling of complex geometries and boundary conditions is crucial for simulation fidelity.

Purpose of the Study:

  • To develop an immersed finite element technique for nonlinear solid mechanics problems.
  • To enhance the treatment of boundary conditions and geometric complexities.
  • To enable simulations without the need for boundary-fitted meshes.

Main Methods:

  • Implicit representation of domain boundaries and interfaces.
  • Nitsche's method for boundary condition incorporation.
  • Marching tetrahedrons for accurate numerical integration.
  • Cut-element stabilization using extrapolation.
  • Implicit geometry representation for sharp features.

Main Results:

  • The cut-element stabilization effectively bounds Nitsche parameters, leading to well-conditioned system matrices.
  • The technique accurately handles sharp geometric features (edges, corners).
  • Simulations of engineering parts composed of solid primitives are enabled without boundary-fitted meshes.

Conclusions:

  • The proposed immersed finite element technique offers a robust and efficient solution for nonlinear solid mechanics problems.
  • The method simplifies the analysis of complex geometries, reducing meshing requirements.
  • This approach advances computational solid mechanics by integrating advanced numerical techniques.