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Related Concept Videos

Deformation of Member under Multiple Loadings01:11

Deformation of Member under Multiple Loadings

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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...
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Deformations in a Transverse Cross Section01:21

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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...
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Plastic Deformations of Members with a Single Plane of Symmetry01:21

Plastic Deformations of Members with a Single Plane of Symmetry

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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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Deformations in a Symmetric Member in Bending01:18

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When analyzing the deformation of a symmetric prismatic member subjected to bending by equal and opposite couples, it becomes clear that as the member bends, the originally straight lines on its wider faces curve into circular arcs, with a constant radius centered at a point known as Point C. This phenomenon helps to understand the stress and strain distribution within the member more clearly.
When the member is segmented into tiny cubic elements, it is observed that the primary stress...
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Transformation of Plane Strain01:12

Transformation of Plane Strain

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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.
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Deformation in a Circular Shaft01:10

Deformation in a Circular Shaft

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One of the distinctive characteristics of circular shafts is their ability to maintain their cross-sectional integrity under torsion. In other words, each cross-section continues to exist as a flat, unaltered entity, simply rotating like a solid, rigid slab. To understand the distribution of shearing stress within such a shaft, consider a cylindrical section inside this circular shaft. This section has a length of L and a radius of R, with one end fixed. The radius of the cylindrical section is...
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DiLO: Disentangled Latent Optimization for Learning Shape and Deformation in Grouped Deforming 3D Objects.

Mostofa Rafid Uddin1, Jana Armouti1, Umong Sain2

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We developed a novel unsupervised method to separate 3D object shape from deformation, enabling easier analysis and manipulation. This disentangled latent optimization approach achieves high effectiveness in tasks like deformation transfer and classification.

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Area of Science:

  • Computer Vision
  • 3D Computer Graphics
  • Machine Learning

Background:

  • Parameterizing 3D objects, especially deforming ones, is challenging.
  • Existing methods often require supervision or are complex.
  • Disentangling shape and deformation is crucial for many applications.

Purpose of the Study:

  • To propose an unsupervised method for disentangling shape and deformation factors of 3D objects.
  • To enable efficient amortized inference of disentangled codes.
  • To demonstrate the utility of the disentangled factors in downstream tasks.

Main Methods:

  • A disentangled latent optimization-based approach.
  • Joint optimization of a generator network with shape and deformation factors.
  • Regularization techniques to enforce disentanglement.
  • Two order-invariant PointNet-based encoder networks for efficient inference.

Main Results:

  • Successful disentanglement of shape and deformation for 3D objects.
  • Demonstrated effectiveness in unsupervised deformation transfer.
  • Achieved high performance in deformation classification and explainability analyses.
  • Comparable or superior results to existing methods with reduced complexity.

Conclusions:

  • The proposed method effectively disentangles shape and deformation in an unsupervised manner.
  • The disentangled latent representation facilitates significant downstream applications.
  • The approach is generalizable across different 3D object categories (human, animal, facial expressions).