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

Generalized Hooke's Law01:22

Generalized Hooke's Law

2.4K
The generalized Hooke's Law is a broadened version of Hooke's Law, which extends to all types of stress and in every direction. Consider an isotropic material shaped into a cube subjected to multiaxial loading. In this scenario, normal stresses are exerted along the three coordinate axes. As a result of these stresses, the cubic shape deforms into a rectangular parallelepiped. Despite this deformation, the new shape maintains equal sides, and there is a normal strain in the direction of the...
2.4K
Bending of Members Made of Several Materials01:11

Bending of Members Made of Several Materials

474
In analyzing a structural member composed of two different materials with identical cross-sectional areas, it is crucial to understand how their distinct elastic properties affect the member's response under load. The analysis involves assessing stress and strain distributions using the transformed section concept, which accounts for variations in material properties.
Hooke's Law determines stress in each material, stating that stress is proportional to strain but varies due to each material's...
474
Unsymmetric Loading of Thin-Walled Members: Problem Solving01:07

Unsymmetric Loading of Thin-Walled Members: Problem Solving

346
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...
346
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

435
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.
435
Gauss's Law in Dielectrics01:17

Gauss's Law in Dielectrics

4.9K
Consider a polar dielectric placed in an external field. In such a dielectric, opposite charges on adjacent dipoles neutralize each other, such that the net charge within the dielectric is zero. When a polar dielectric is inserted in between the capacitor plates, an electric field is generated due to the presence of net charges near the edge of the dielectric and the metal plates interface. Since the external electrical field merely aligns the dipoles, the dielectric as a whole is neutral. An...
4.9K
Gauss's Law: Problem-Solving01:10

Gauss's Law: Problem-Solving

2.4K
Gauss's law helps determine electric fields even though the law is not directly about electric fields but electric flux. In situations with certain symmetries (spherical, cylindrical, or planar) in the charge distribution, the electric field can be deduced based on the knowledge of the electric flux. In these systems, we can find a Gaussian surface S over which the electric field has a constant magnitude. Furthermore, suppose the electric field is parallel (or antiparallel) to the area vector...
2.4K

You might also read

Related Articles

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

Sort by
Same author

Deformation Behavior of Asymmetric Direct Laser Interference Patterning Structures on Hot-Dip Tinned Copper.

Materials (Basel, Switzerland)·2025
Same author

Predicting the effect of individual weight-bearing on tibial load and fracture healing after tibial plateau fractures-introduction of a biomechanical simulation model.

Frontiers in bioengineering and biotechnology·2025
Same author

Mechanisms underlying allosteric modulation of antiseizure medication binding to synaptic vesicle protein 2A (SV2A).

Proceedings of the National Academy of Sciences of the United States of America·2025
Same author

From Injury to Full Recovery: Monitoring Patient Progress Through Advanced Sensor and Motion Capture Technology.

Sensors (Basel, Switzerland)·2025
Same author

Drying of Functional Hydrogels: Development of a Workflow for Bioreactor-Integrated Freeze-Drying of Protein-Coated Alginate Microcarriers for iPS Cell-Based Screenings.

Gels (Basel, Switzerland)·2025
Same author

New Parameters Based on Ground Reaction Forces for Monitoring Rehabilitation Following Tibial Fractures and Assessment of Heavily Altered Gait.

Sensors (Basel, Switzerland)·2025
Same journal

Invaders taking over-Mollusc faunal change in volcanic barrier lakes of the Albertine Rift biodiversity hotspot.

PloS one·2026
Same journal

AI-driven molecular diversification and ligand-based optimization of macitentan derivatives targeting VEGFR1 and endothelin signaling pathways.

PloS one·2026
Same journal

Performance patterns and records in the world aquatics masters championships: Where do the most frequently represented nations among the top-ten masters swimmers come from?

PloS one·2026
Same journal

Modeling diurnal Temperature-Rainfall relationships under multicollinearity using PLS-SEM: A case study of Ghana.

PloS one·2026
Same journal

Organizational culture, social capital, and emergency capacity in primary healthcare institutions: A cross-sectional structural equation modeling study comparing ordinary and older communities.

PloS one·2026
Same journal

Impact of kidney function on the metabolome in the general population.

PloS one·2026
See all related articles

Related Experiment Video

Updated: Dec 3, 2025

Fabrication and Operation of a Nano-Optical Conveyor Belt
11:10

Fabrication and Operation of a Nano-Optical Conveyor Belt

Published on: August 26, 2015

11.9K

A GPU-based caching strategy for multi-material linear elastic FEM on regular grids.

Christian Schlinkmann1,2, Michael Roland2, Christian Wolff1

  • 1Deutsches Forschungszentrum für Künstliche Intelligenz (DFKI) GmbH, Saarbrücken, Germany.

Plos One
|October 30, 2020
PubMed
Summary
This summary is machine-generated.

This study introduces a novel matrix-free finite element method (FEM) for high-resolution linear elastic problems on graphics processing units (GPUs). The cache-friendly approach accelerates convergence, especially with distinct material distributions, enabling previously impossible computations.

More Related Videos

Scalable Solution-processed Fabrication Strategy for High-performance, Flexible, Transparent Electrodes with Embedded Metal Mesh
11:09

Scalable Solution-processed Fabrication Strategy for High-performance, Flexible, Transparent Electrodes with Embedded Metal Mesh

Published on: June 23, 2017

10.5K
Creating a Structurally Realistic Finite Element Geometric Model of a Cardiomyocyte to Study the Role of Cellular Architecture in Cardiomyocyte Systems Biology
08:54

Creating a Structurally Realistic Finite Element Geometric Model of a Cardiomyocyte to Study the Role of Cellular Architecture in Cardiomyocyte Systems Biology

Published on: April 18, 2018

10.0K

Related Experiment Videos

Last Updated: Dec 3, 2025

Fabrication and Operation of a Nano-Optical Conveyor Belt
11:10

Fabrication and Operation of a Nano-Optical Conveyor Belt

Published on: August 26, 2015

11.9K
Scalable Solution-processed Fabrication Strategy for High-performance, Flexible, Transparent Electrodes with Embedded Metal Mesh
11:09

Scalable Solution-processed Fabrication Strategy for High-performance, Flexible, Transparent Electrodes with Embedded Metal Mesh

Published on: June 23, 2017

10.5K
Creating a Structurally Realistic Finite Element Geometric Model of a Cardiomyocyte to Study the Role of Cellular Architecture in Cardiomyocyte Systems Biology
08:54

Creating a Structurally Realistic Finite Element Geometric Model of a Cardiomyocyte to Study the Role of Cellular Architecture in Cardiomyocyte Systems Biology

Published on: April 18, 2018

10.0K

Area of Science:

  • Computational mechanics
  • Numerical analysis
  • Materials science

Background:

  • High-resolution finite element analysis (FEA) is computationally intensive.
  • Existing methods face memory and speed limitations for complex material datasets.
  • Efficient solvers are crucial for advanced simulations in engineering and medicine.

Purpose of the Study:

  • To develop a novel, high-resolution finite element method (FEM) strategy for linear elastic problems.
  • To leverage graphics processing units (GPUs) for accelerated computation.
  • To improve convergence times and handle memory constraints in complex simulations.

Main Methods:

  • Implementation of a cache-friendly, matrix-free FEM approach on GPUs.
  • Exploitation of system matrix regularities in hexahedral grids.
  • Utilizing a node-by-node, block-iterative Gauss-Seidel multigrid solver.

Main Results:

  • Significant improvement in convergence times, particularly for datasets with ordered distinct materials.
  • Achieved speed-up factors of 2x-4x compared to non-cached implementations.
  • Enabled the computation of high-resolution problems previously intractable due to memory limitations.

Conclusions:

  • The developed cache-friendly FEM strategy offers substantial performance gains on GPUs.
  • The method effectively addresses memory consumption challenges in high-resolution simulations.
  • This approach enhances the feasibility of complex material simulations and medical imaging analysis.