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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...
Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity01:15

Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity

Deformation occurs in axial and transverse directions when an axial load is applied to a slender bar. This deformation impacts the cubic element within the bar, transforming it into either a rectangular parallelepiped or a rhombus, contingent on its orientation. This transformation process induces shearing strain. Axial loading elicits both shearing and normal strains. Applying an axial load instigates equal normal and shearing stresses on elements oriented at a 45° angle to the load axis.
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...
Impact Loading01:19

Impact Loading

Impact loading occurs when a moving object collides with a stationary structure, such as a rod with a uniform cross-sectional area fixed at one end. Under these conditions, the rod absorbs the kinetic energy from the striking object, leading to deformation and subsequent stress development. As the rod returns to its original position and reaches maximum stress, the absorbed energy, initially manifested as kinetic energy, transforms entirely into strain energy.
In cases of elastic deformation,...
Circular Shafts - Elastoplastic Materials01:24

Circular Shafts - Elastoplastic Materials

The study of solid circular shafts under stress shows that within the elastic limit, stress increases directly to the distance from the shaft's center. This relationship holds until the shaft reaches a critical point of stress, beyond which it begins to yield, marking the transition from elastic to plastic deformation. At this crucial juncture, the maximum torque the shaft can endure without permanent deformation is determined, signifying the limit of its elastic behavior.
As torque on the...
Members Made of Elastoplastic Material01:19

Members Made of Elastoplastic Material

The behavior of elastoplastic materials under bending stresses, particularly in structural members with rectangular cross-sections, is crucial for predicting material responses and understanding failure modes. Initially, when a bending moment is applied, the stress distribution across the section follows Hooke's Law and is linear and elastic. This distribution means the stress increases from the neutral axis to the maximum at the outer fibers, up to the elastic limit.
As the bending moment...

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Controlled Strain of 3D Hydrogels under Live Microscopy Imaging
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Controlled Strain of 3D Hydrogels under Live Microscopy Imaging

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Solid drops: large capillary deformations of immersed elastic rods.

Serge Mora1, Corrado Maurini, Ty Phou

  • 1Laboratoire Charles Coulomb, UMR 5221, Université Montpellier 2 and CNRS, Place Eugène Bataillon, F-34095 Montpellier Cedex, France.

Physical Review Letters
|October 1, 2013
PubMed
Summary
This summary is machine-generated.

Soft elastic solids, like gels, deform significantly in liquids due to surface tension. Experiments show gels change shape reversibly, mimicking liquid behavior and offering insights into material science.

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Area of Science:

  • Materials Science
  • Soft Matter Physics
  • Fluid Dynamics

Background:

  • Surface tension drives liquids to minimize surface area, typically forming spheres.
  • Elastic solids with low elastic moduli can undergo large deformations.

Purpose of the Study:

  • To investigate the deformation of soft elastic solids under surface tension.
  • To analyze how different cross-sectional shapes influence solid deformation in a liquid environment.

Main Methods:

  • Experimental immersion of centimeter-size elastic solids (gels) into a liquid.
  • Observation and analysis of large, reversible deformations.
  • Comparison of experimental results with nonlinear simulations of neo-Hookean solids.

Main Results:

  • Elastic solids exhibit shape changes analogous to liquids under surface tension.
  • Circular cylinders shorten longitudinally and stretch transversely.
  • Square prisms round their edges, tending towards circular cross-sections.
  • Triangular prisms bend due to surface stress.

Conclusions:

  • Soft elastic solids undergo significant, reversible deformations driven by surface stress.
  • Deformation behavior is dependent on the solid's cross-sectional geometry.
  • Experimental findings align well with theoretical analysis and simulations.