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

Singularity Functions for Shear01:26

Singularity Functions for Shear

465
In structural analysis, singularity functions are crucial in simplifying the representation of shear forces in beams under discontinuous loading. These functions describe discontinuous  variations in shear force across a beam with varying loads by using a single mathematical expression, regardless of the complexity of the loading conditions. The singularity functions are derived from creating a free-body diagram of the beam and then making conceptual cuts at specific points to examine the...
465
Second Uniqueness Theorem01:16

Second Uniqueness Theorem

2.7K
Consider a region consisting of several individual conductors with a definite charge density in the region between these conductors. The second uniqueness theorem states that if the total charge on each conductor and the charge density in the in-between region are known, then the electric field can be uniquely determined.
In contrast, consider that the electric field is non-unique and apply Gauss's law in divergence form in the region between the conductors and the integral form to the surface...
2.7K
Deflection of a Beam01:19

Deflection of a Beam

795
Accurately determining beam deflection and slope under various loading conditions in structural engineering is crucial for ensuring safety and structural integrity. Singularity functions offer a streamlined approach to analyzing beams, especially when multiple loading functions complicate the bending moment equation.
Singularity functions, described in an earlier lesson, are powerful mathematical tools that represent discontinuities within a function commonly encountered in structural loading...
795
Singularity Functions for Bending Moment01:18

Singularity Functions for Bending Moment

584
Singularity functions simplify the representation of bending moments in beams subjected to discontinuous loading, allowing the use of a single mathematical expression. For a supported beam AB, with uniform loading from its midpoint M to the right side end B, the approach involves conceptual 'cuts' at specific points to determine the bending moment in each segment. By cutting the beam at a point between A and M, the bending moment for the segment before reaching midpoint M is represented using a...
584
Structures of Solids02:22

Structures of Solids

19.3K
Solids in which the atoms, ions, or molecules are arranged in a definite repeating pattern are known as crystalline solids. Metals and ionic compounds typically form ordered, crystalline solids. A crystalline solid has a precise melting temperature because each atom or molecule of the same type is held in place with the same forces or energy. Amorphous solids or non-crystalline solids (or, sometimes, glasses) which lack an ordered internal structure and are randomly arranged. Substances that...
19.3K
¹H NMR: Complex Splitting01:13

¹H NMR: Complex Splitting

2.0K
A proton M that is coupled to a proton X results in doublet signals for M. However, NMR-active nuclei can be simultaneously coupled to more than one nonequivalent nucleus. When M is coupled to a second proton A, such as in styrene oxide, each peak in the doublet is split into another doublet.
Splitting diagrams or splitting tree diagrams are routinely used to depict such complex couplings. While drawing splitting diagrams, the splitting with the larger coupling constant is usually applied...
2.0K

You might also read

Related Articles

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

Sort by
Same author

Investigating the risk of non-alcoholic fatty liver disease in young patients with psoriasis versus non-psoriatic inflammatory skin diseases.

Scientific reports·2026
Same author

Navigating luminal heterogeneity: etiology-based proteogenomic subtyping for targeted treatment strategies in breast cancer.

Molecular cancer·2026
Same author

The Role of Videoconferencing Teleconsultation in Improving Transfer Efficiency and Functional Outcomes in Rural Stroke Care: Retrospective Cohort Study.

JMIR mHealth and uHealth·2026
Same author

Dual-Phase Computed Tomography-Based Deep Learning Architecture for Three-Year Survival Prediction in Hepatocellular Carcinoma.

Journal of imaging informatics in medicine·2026
Same author

Rapid Electrochemical Profiling of Fecal Short-Chain Fatty Acids Using Esterification/Dissociation Fingerprints and Artificial Neural Networks.

Biosensors·2026
Same author

Real-World Safety of JAK Inhibitors in Skin Immune-Mediated Inflammatory Diseases: Boxed Warning Outcomes from a Multinational Cohort Study.

Clinical pharmacology and therapeutics·2026

Related Experiment Video

Updated: Feb 22, 2026

Forming, Confining, and Observing Microtubule-Based Active Nematics
08:37

Forming, Confining, and Observing Microtubule-Based Active Nematics

Published on: January 13, 2023

3.2K

Contacting and forming singularities: Distinguishing examples.

Paul H. Steen1, Yi-Ju Chen

  • 1School of Chemical Engineering, Center for Applied Mathematics, Cornell University, Ithaca, New York 14853-5204.

Chaos (Woodbury, N.Y.)
|June 5, 2003
PubMed
Summary
This summary is machine-generated.

Thin film bridges breaking reveal unique dynamics during topological change. This study analyzes the "forming" flow singularity and contrasts it with "contacting" flow, offering new insights into material surface behavior.

More Related Videos

Operation of the Collaborative Composite Manufacturing CCM System
10:09

Operation of the Collaborative Composite Manufacturing CCM System

Published on: October 1, 2019

7.1K
Synthesis and Characterization of Supramolecular Colloids
09:26

Synthesis and Characterization of Supramolecular Colloids

Published on: April 22, 2016

10.5K

Related Experiment Videos

Last Updated: Feb 22, 2026

Forming, Confining, and Observing Microtubule-Based Active Nematics
08:37

Forming, Confining, and Observing Microtubule-Based Active Nematics

Published on: January 13, 2023

3.2K
Operation of the Collaborative Composite Manufacturing CCM System
10:09

Operation of the Collaborative Composite Manufacturing CCM System

Published on: October 1, 2019

7.1K
Synthesis and Characterization of Supramolecular Colloids
09:26

Synthesis and Characterization of Supramolecular Colloids

Published on: April 22, 2016

10.5K

Area of Science:

  • Fluid dynamics
  • Soft matter physics
  • Materials science

Background:

  • Understanding the dynamics of breaking interfaces is crucial in fluid mechanics and materials science.
  • Topological changes in continua present complex physical phenomena, particularly at singularities.
  • Previous studies have explored singularities in fluid flow, but the specific case of thin film bridge rupture dynamics remains less understood.

Purpose of the Study:

  • To investigate the singularity of topological change during the rupture of a thin film bridge.
  • To frame the observed nonequilibrium trajectory, termed 'forming' flow, within a broader classification of singularities.
  • To contrast 'forming' flow with 'contacting' singularities using stagnation flow as an example.

Main Methods:

  • Analysis of the dynamical trajectory during the transition from a connected to a disconnected state.
  • Theoretical framing of the 'forming' flow within singularities where bounding surfaces are not material surfaces.
  • Illustration of 'contacting' singularities using stagnation flow dynamics.

Main Results:

  • The study provides rare evidence of singularity passage during topological change in a breaking thin film bridge.
  • New results include the observation of 'healing of surgery' in post-disconnection simulations.
  • Different dynamical scalings of disconnected components were identified, and simulations were compared to experimental data.

Conclusions:

  • The 'forming' flow represents a significant singularity in thin film rupture dynamics.
  • A classification scheme based on nonunique Lagrangian motions is proposed.
  • The findings offer a deeper understanding of interfacial dynamics and topological transitions in physical systems.