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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 Symmetric Member in Bending01:18

Deformations in a Symmetric Member in Bending

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...
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...
Transformation of Plane Strain01:12

Transformation of Plane Strain

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...
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...
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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Quantification of Strain in a Porcine Model of Skin Expansion Using Multi-View Stereo and Isogeometric Kinematics
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Boundary-aware multidomain subspace deformation.

Yin Yang1, Weiwei Xu, Xiaohu Guo

  • 1Department of Computer Science, The University of Texas at Dallas, 800 W. Campbell Road, Richardson, TX 75080-3021, USA. yinyang@utdallas.edu

IEEE Transactions on Visualization and Computer Graphics
|August 10, 2013
PubMed
Summary
This summary is machine-generated.

We introduce a new framework for multidomain subspace deformation, enhancing simulations of deformable objects. This method achieves real-time performance without crack artifacts, even with complex domain decomposition.

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Area of Science:

  • Computer Graphics
  • Computational Physics
  • Numerical Analysis

Background:

  • Simulating deformable objects is computationally intensive.
  • Existing methods often struggle with complex domain interactions and artifacts like cracks.
  • Efficiently handling multidomain scenarios remains a challenge.

Purpose of the Study:

  • To propose a novel framework for multidomain subspace deformation.
  • To enable efficient and artifact-free simulations of deformable objects.
  • To achieve real-time performance in complex scenarios.

Main Methods:

  • Utilizing node-wise corotational elasticity for subspace deformation.
  • Employing Lagrange multipliers for boundary coupling constraints without overconstraining.
  • Developing a deformation algorithm where constraint equations depend on boundary deformation modes, not node count.

Main Results:

  • Successfully eliminated crack artifacts in simulation results.
  • Demonstrated easy handling of domain decomposition, including those with loops.
  • Achieved real-time performance with a single-core implementation for simulations involving approximately 250,000 tetrahedral elements.

Conclusions:

  • The proposed framework offers an efficient and robust solution for multidomain subspace deformation.
  • The method significantly advances the simulation of deformable objects, particularly in terms of speed and visual fidelity.
  • This approach is suitable for real-time applications requiring high-fidelity simulations of complex deformable systems.