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Related Concept Videos

Deformation of Member under Multiple Loadings01:11

Deformation of Member under Multiple Loadings

When a rod is made of different materials or has various cross-sections, it must be divided into parts that meet the necessary conditions for determining the deformation. These parts are each characterized by their internal force, cross-sectional area, length, and modulus of elasticity. These parameters are then used to compute the deformation of the entire rod.
In the case of a member with a variable cross-section, the strain is not constant but depends on the position. The deformation of an...
Deformations in a Transverse Cross Section01:21

Deformations in a Transverse Cross Section

When a material is subjected to uniaxial stress, it elongates or contracts in the direction of the applied force, and also undergoes changes in the perpendicular directions. This behavior is crucial for understanding how materials behave under stress and is governed by mechanical properties such as Poisson's ratio v, which measures the ratio of transverse strain to axial strain.
As the material stretches, it expands or contracts in orthogonal directions to the load. This phenomenon varies...
Temperature Dependent Deformation01:12

Temperature Dependent Deformation

In a nonhomogeneous rod made up of steel and brass, restrained at both ends and subjected to a temperature change, several steps are involved in calculating the stress and compressive load. Due to the problem's static indeterminacy, one end support is disconnected, allowing the rod to experience the temperature change freely. Next, an unknown force is applied at the free end, triggering deformations in the rod's steel and brass portions. These deformations are then calculated and added together...
Plastic Deformations01:14

Plastic Deformations

It is essential to understand how structural members behave under plastic deformation when the bending stress exceeds the material's yield strength. This state of deformation permanently alters the shape of the member, in contrast to the linear elastic behavior observed before yielding. The strain at any point in the member is expressed in terms of maximum strain. Notably, the neutral axis, which coincides with the centroid during elastic bending, shifts away from the centroid under plastic...
Plastic Deformations01:19

Plastic Deformations

Plastic deformation represents a fundamental concept in materials science, which explains the irreversible change in the shape of a material when it experiences stress beyond its elastic capability. This phenomenon is important in structural engineering, especially in designing and analyzing cantilever beams—structures that are securely fixed at one end and bear loads at the opposite end. When these beams are subjected to loads within their elastic range, they will return to their original...
Plastic Deformations of Members with a Single Plane of Symmetry01:21

Plastic Deformations of Members with a Single Plane of Symmetry

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...

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Related Experiment Video

Updated: May 24, 2026

Automated Joint Space Detection Improves Bone Segmentation Accuracy
06:45

Automated Joint Space Detection Improves Bone Segmentation Accuracy

Published on: November 28, 2025

Detail-preserving controllable deformation from sparse examples.

Haoda Huang1, KangKang Yin, Ling Zhao

  • 1Microsoft Research Asia, 507 Central Avenue, Mountain View, CA 94043, USA. haoda.huang@gmail.com

IEEE Transactions on Visualization and Computer Graphics
|March 14, 2012
PubMed
Summary
This summary is machine-generated.

This study introduces a data-driven model for creating realistic digital replicas that capture both static details and dynamic deformations. The model effectively synthesizes highly deformable objects with rich features from minimal training data.

Related Experiment Videos

Last Updated: May 24, 2026

Automated Joint Space Detection Improves Bone Segmentation Accuracy
06:45

Automated Joint Space Detection Improves Bone Segmentation Accuracy

Published on: November 28, 2025

Area of Science:

  • Computer Graphics
  • Geometric Modeling
  • Machine Learning

Background:

  • Laser scanning captures intricate static details of real-world objects.
  • Faithful digital models require reproducing both static details and dynamic deformations.

Purpose of the Study:

  • Develop a data-driven model for synthesizing realistic, deformable digital geometries.
  • Capture and reproduce high-resolution details during large-scale deformations.

Main Methods:

  • A two-component data-driven model: one for large-scale deformations, another for high-resolution details.
  • Nonlinear mappings between sparse control points and bone transformations for global deformations.
  • Local mappings in geometry and pose space for realistic synthesis from sparse data.
  • Second nonlinear mapping for per-vertex displacements to generate deformable fine-scale details.

Main Results:

  • The model effectively synthesizes highly deformable models with rich fine features.
  • Demonstrated robustness and effectiveness on scanned human hands, faces, and dinosaur models.
  • Successful application in both keyframe and performance-driven animation.

Conclusions:

  • The developed data-driven approach enables realistic synthesis of deformable models with intricate details.
  • Learned models from sparse data are effective and robust for various applications.
  • The method offers an improvement over alternative techniques for deformable model synthesis.