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

Transformation of Plane Strain01:12

Transformation of Plane Strain

162
When analyzing elongated structures like bars subjected to uniformly distributed loads, it is essential to understand the transformation of plane strain when coordinate axes are rotated. This transformation helps to assess how material deformation characteristics vary with orientation, which is crucial in materials science and structural engineering.
Under plane strain conditions, typical for members where one dimension significantly exceeds the others, deformations and resultant strains are...
162
Fischer Projections02:18

Fischer Projections

13.2K
Learning to draw Fischer projections of molecules and understanding their relevance plays a crucial role in the visual depiction of organic molecules. A Fischer projection is a two-dimensional projection on a planar surface to simplify the three-dimensional wedge–dash representation of molecules. This is especially helpful in the case of molecules with multiple chiral centers that can be difficult to draw. Here, all the bonds of interest are represented as horizontal or vertical lines.
13.2K
Coordinates and Map Projections01:29

Coordinates and Map Projections

39
Coordinates and map projections are essential tools in accurately representing the Earth's surface for various applications, ranging from navigation to spatial analysis. The latitude and longitude coordinate system is a universally recognized framework for defining locations. Latitude specifies the distance of a point north or south of the equator, measured in degrees from 0° at the equator to 90° at the poles. Longitude indicates a location's position east or west of the prime meridian,...
39
Transformation of Plane Stress01:18

Transformation of Plane Stress

228
Studying stress transformation is essential in understanding how stress components within a material, like a cube under plane stress, change with rotation. This change is analyzed by considering a prismatic element within the cube. As the element rotates, the stress components acting on it—both normal and shearing stresses—change in magnitude and orientation. This change is quantified using trigonometric functions of the rotation angle, relating the forces acting on the rotated element's...
228
Spherical Coordinates01:23

Spherical Coordinates

10.2K
Spherical coordinate systems are preferred over Cartesian, polar, or cylindrical coordinates for systems with spherical symmetry. For example, to describe the surface of a sphere, Cartesian coordinates require all three coordinates. On the other hand, the spherical coordinate system requires only one parameter: the sphere's radius. As a result, the complicated mathematical calculations become simple. Spherical coordinates are used in science and engineering applications like electric and...
10.2K
Plastic Deformations of Members with a Single Plane of Symmetry01:21

Plastic Deformations of Members with a Single Plane of Symmetry

89
When a structural member undergoes plastic deformation due to bending, it is crucial to understand the position of the neutral axis and the stress distribution. This member, characterized by a single plane of symmetry, exhibits a uniform stress distribution, with negative stress above the neutral axis and positive stress below. Notably, the neutral axis does not align with the centroid of the cross-section. This misalignment is typical in cases where the cross-section is not rectangular or...
89

You might also read

Related Articles

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

Sort by
Same author

Machine Learning-Enabled Layer-Wise Melting Quality Recognition for Laser Powder Bed Fusion Process via In Situ Monitoring.

Materials (Basel, Switzerland)·2026
Same author

Comparison of Neuromuscular Control Characteristics in Forehand Stroke Between International- and National-Level Squash Players: An sEMG-Based Analysis of Muscle Synergy and Intermuscular Coherence.

Sensors (Basel, Switzerland)·2026
Same author

Machine-Learning-Enabled Hydrogel Biosensors for Wearable Health Monitoring.

Gels (Basel, Switzerland)·2026
Same author

Corrigendum to "Identification and functional characterization of SmABCG24 regulating tanshinone transport in Salvia miltiorrhiza" [Int. J. Biol. Macromol. 360 (2026) 151837].

International journal of biological macromolecules·2026
Same author

Ultra-Fast Cell Sorting via Pulsed, Orifice-Free Acoustic Microjets.

ACS sensors·2026
Same author

Identification and functional characterization of SmABCG24 regulating tanshinone transport in Salvia miltiorrhiza.

International journal of biological macromolecules·2026
Same journal

Turbulent flow in a vortex separator with a directed pipe inlet.

Scientific reports·2026
Same journal

Systematic characteristic evaluation of clay-based cementitious material derived from calcium carbide residue and waste tile powder.

Scientific reports·2026
Same journal

Retraction Note: Improvement of a rapid diagnostic application of monoclonal antibodies against avian influenza H7 subtype virus using Europium nanoparticles.

Scientific reports·2026
Same journal

Applying large language models to spam detection in the Kazakh low-resource language setting.

Scientific reports·2026
Same journal

An open-source 3D printing system enabling in-situ freeze-thaw processing of hydrogels.

Scientific reports·2026
Same journal

An enhanced EfficientNet framework for automated waste classification using cosine annealing and label smoothing.

Scientific reports·2026
See all related articles

Related Experiment Video

Updated: Jun 30, 2025

Three-Dimensional Shape Modeling and Analysis of Brain Structures
05:33

Three-Dimensional Shape Modeling and Analysis of Brain Structures

Published on: November 14, 2019

7.1K

Physics-informed shape optimization using coordinate projection.

Zhizhou Zhang1, Chungwei Lin1, Bingnan Wang2

  • 1Mitsubishi Electric Research Laboratories, 201 Broadway, 8th Floor, Cambridge, MA, 02139-1955, USA.

Scientific Reports
|March 20, 2024
PubMed
Summary
This summary is machine-generated.

Physics-informed neural networks (PINNs) are advanced for engineering design. A new framework uses neural network coordinate projection for efficient structural shape optimization, overcoming material property challenges.

Keywords:
Coordinate projectionPhysics-informed neural networkShape optimizationWeak formulation

More Related Videos

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
13:44

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

Published on: August 30, 2013

42.9K
Three-Dimensional Particle Shape Analysis Using X-ray Computed Tomography: Experimental Procedure and Analysis Algorithms for Metal Powders
10:10

Three-Dimensional Particle Shape Analysis Using X-ray Computed Tomography: Experimental Procedure and Analysis Algorithms for Metal Powders

Published on: December 4, 2020

1.8K

Related Experiment Videos

Last Updated: Jun 30, 2025

Three-Dimensional Shape Modeling and Analysis of Brain Structures
05:33

Three-Dimensional Shape Modeling and Analysis of Brain Structures

Published on: November 14, 2019

7.1K
Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
13:44

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

Published on: August 30, 2013

42.9K
Three-Dimensional Particle Shape Analysis Using X-ray Computed Tomography: Experimental Procedure and Analysis Algorithms for Metal Powders
10:10

Three-Dimensional Particle Shape Analysis Using X-ray Computed Tomography: Experimental Procedure and Analysis Algorithms for Metal Powders

Published on: December 4, 2020

1.8K

Area of Science:

  • Engineering
  • Artificial Intelligence
  • Material Science

Background:

  • Artificial intelligence (AI) is transforming engineering design and analysis.
  • Physics-informed neural networks (PINNs) integrate physical laws into machine learning for enhanced accuracy.
  • PINNs face challenges in structural optimization with multiple materials due to continuity requirements and complex gradient computations.

Purpose of the Study:

  • To develop a novel framework for structural shape optimization using PINNs.
  • To overcome the limitations of traditional PINN methods in handling materials with distinct properties.
  • To enable direct optimization of structural shapes without intermediate material property definitions.

Main Methods:

  • A novel framework employing neural network coordinate projection within PINNs is introduced.
  • This method allows direct mapping from a standard shape to its optimal form.
  • The framework incorporates diverse constraints and objectives as training penalties.

Main Results:

  • The proposed approach successfully optimizes iron core shapes in magnetostatic problems, a task with high material contrast.
  • Validation through finite-element analysis confirms the accuracy and efficiency of the framework.
  • The method demonstrates adaptability for complex material design tasks.

Conclusions:

  • The novel neural network coordinate projection framework enhances PINNs for structural shape optimization.
  • This approach effectively addresses challenges posed by materials with distinct properties.
  • The framework offers a viable and efficient tool for complex engineering design problems.