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Related Concept Videos

Bending of Material: Problem Solving01:09

Bending of Material: Problem Solving

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In this lesson, determine the ratio of the maximum bending moments applied to two metal pipes, given that both pipes can withstand a maximum stress of 100 MPa. Both pipes have an outer radius of 1.8 cm. Pipe A has an inner radius of 1.5 cm, and Pipe B has an inner radius of 1 cm. The ratio of the maximum bending moment applied to two metallic pipes, each with a different inner and outer radius, is determined by considering their dimensions. The inner radius of the first pipe is 1.5 cm, and for...
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Plastic Deformations of Members with a Single Plane of Symmetry01:21

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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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Deformation in a Circular Shaft01:10

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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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Plastic Deformations01:14

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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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Plastic Deformation in Circular Shafts01:20

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When materials are subjected to forces that surpass their yield strength, they undergo a process known as plastic deformation. This results in a permanent alteration or strain in their structure. This concept can be specifically applied to circular shafts, where the deformation leads to a change in its shape. The precise evaluation of this plastic deformation requires understanding the stress distribution within the circular shaft, which is achieved by calculating the maximum shearing stress in...
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Bending of Curved Members - Neutral Surface01:16

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In curved beams, unlike straight beams, the stress distribution across the cross-section is not uniform due to the beam's curvature. This non-uniformity arises because the neutral axis, where stress is zero, does not align with the centroid of the section. In a curved beam, the strain varies along the section as a function of the distance from the neutral axis.
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Jamming on convex deformable surfaces.

Zhaoyu Xie1, Timothy J Atherton1

  • 1Department of Physics & Astronomy, Tufts University, 574 Boston Ave, Medford, MA 02155, USA. timothy.atherton@tufts.edu.

Soft Matter
|January 11, 2024
PubMed
Summary
This summary is machine-generated.

Metric jamming describes how materials rigidify on deformed surfaces, offering tunable mechanical properties unlike classical jamming. This new understanding applies to soft materials and deformable substrates, impacting self-assembly processes.

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Area of Science:

  • Physics
  • Materials Science
  • Soft Matter Physics

Background:

  • Jamming is a critical transition in particulate media, leading to a disordered, marginally stable solid state.
  • Classical jamming is well-understood for fixed geometries, but its behavior in soft materials and on deformable substrates is largely unknown.

Purpose of the Study:

  • To investigate jamming phenomena in a new scenario: metric jamming, occurring on deformed surfaces.
  • To explore the mechanical properties and vibrational dynamics of metric jammed states.

Main Methods:

  • Theoretical framework development for metric jamming.
  • Analysis of vibrational spectra and particle-shape coupling in curved geometries.

Main Results:

  • Metric jamming on deformed surfaces yields continuously tunable mechanical properties, bridging classical jamming and elastic media.
  • Curved geometries alter vibrational spectra and introduce new vibrational modes coupling particle and shape degrees of freedom.

Conclusions:

  • Metric jamming provides a unified theoretical framework for solidification on deformable media.
  • This research lays groundwork for controlling and stabilizing shape in self-assembly processes using jamming principles.