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Related Concept Videos

Poisson's Ratio01:23

Poisson's Ratio

Poisson's ratio is a material property that indicates their stress response. It explains the connection between the elongation or compression a material undergoes in the direction of an applied force and the contraction or expansion it experiences perpendicular to that force. When a slender bar is loaded axially, it stretches in the direction of the force and contracts laterally. Poisson's ratio is the negative ratio of this lateral contraction to the axial elongation. The negative sign ensures...
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.
Bending of Members Made of Several Materials01:11

Bending of Members Made of Several Materials

In analyzing a structural member composed of two different materials with identical cross-sectional areas, it is crucial to understand how their distinct elastic properties affect the member's response under load. The analysis involves assessing stress and strain distributions using the transformed section concept, which accounts for variations in material properties.
Hooke's Law determines stress in each material, stating that stress is proportional to strain but varies due to each material's...
Bending of Material: Problem Solving01:09

Bending of Material: Problem Solving

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...
Poisson's And Laplace's Equation01:25

Poisson's And Laplace's Equation

The electric potential of the system can be calculated by relating it to the electric charge densities that give rise to the electric potential. The differential form of Gauss's law expresses the electric field's divergence in terms of the electric charge density.
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...

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Poisson's ratio and modern materials.

G N Greaves1, A L Greer, R S Lakes

  • 1Department of Materials Science and Metallurgy, University of Cambridge, Cambridge, UK. gng@aber.ac.uk

Nature Materials
|October 25, 2011
PubMed
Summary
This summary is machine-generated.

Poisson

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Area of Science:

  • Materials Science
  • Solid Mechanics
  • Condensed Matter Physics

Background:

  • Poisson's ratio is a fundamental metric for material performance under elastic strain.
  • Its numerical limits are between -1 and ½ for stable isotropic materials.

Purpose of the Study:

  • To reassess the significance of Poisson's ratio in modern materials science.
  • To explore its contemporary understanding and applications.

Main Methods:

  • Utilizing new experimental techniques.
  • Employing advanced computational methods.
  • Investigating novel materials synthesis routes.

Main Results:

  • Examining relationships beyond the elastic limit.
  • Connecting Poisson's ratio to densification, connectivity, ductility, and toughness.
  • Associating material properties with liquid phase dynamics.

Conclusions:

  • Poisson's ratio's importance extends beyond elastic behavior.
  • Its understanding is crucial for modern material characterization.
  • Links to densification and toughness offer new insights.