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Related Concept Videos

Plastic Deformations01:19

Plastic Deformations

439
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...
439
Plastic Deformations01:14

Plastic Deformations

412
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...
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Temperature Dependent Deformation01:12

Temperature Dependent Deformation

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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...
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Deformations in a Symmetric Member in Bending01:18

Deformations in a Symmetric Member in Bending

482
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...
482
Deformation of Member under Multiple Loadings01:11

Deformation of Member under Multiple Loadings

451
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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Deformation in a Circular Shaft01:10

Deformation in a Circular Shaft

876
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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Imaging Plasma Membrane Deformations With pTIRFM
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Computational modeling of active deformable membranes embedded in three-dimensional flows.

Christian Bächer1, Stephan Gekle1

  • 1Biofluid Simulation and Modeling, Theoretische Physik VI, Universität Bayreuth, Universitätsstrasse 30, Bayreuth, Germany.

Physical Review. E
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Summary

We developed a new computational algorithm to simulate active materials like cell membranes in fluid flows. This method models complex shapes and dynamic deformations, advancing our understanding of biological fluid dynamics.

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Area of Science:

  • Computational physics
  • Biophysics
  • Materials science

Background:

  • Active gel theory successfully models simple active materials.
  • Complex geometries and dynamic deformations require advanced simulation methods.

Purpose of the Study:

  • To develop a computational algorithm for simulating arbitrarily shaped, deformable active membranes in 3D fluid flows.
  • To combine active gel theory with thin elastic shell theory for accurate force computation.

Main Methods:

  • Developed a novel algorithm integrating active gel theory and thin elastic shell theory.
  • Employed a parabolic fitting procedure for active stress force calculation.
  • Utilized an immersed-boundary method to couple membrane dynamics with fluid flow (e.g., Lattice-Boltzmann solver).

Main Results:

  • Validated the algorithm using Green's functions for active cylindrical membranes.
  • Predicted a nonaxisymmetric instability in homogeneous active stress scenarios.
  • Demonstrated the method's versatility by analyzing flow within an actively deforming cell in shear flow.

Conclusions:

  • The developed algorithm accurately simulates dynamic active membranes in complex fluid environments.
  • This method offers a versatile tool for studying active materials in various biological and physical systems.
  • Potential applications include modeling cytoplasmic streaming and active membranes in blood flow.