elasticity of shear

Thân thiện

A rubber eraser deforms under a shearing force, demonstrating elasticity of shear.

Definition

Noun: - The property of a material to return to its original shape after being deformed by a sliding or twisting (shearing) force: It is a specific measure of a material's elastic response when opposing forces are applied parallel to each other but in opposite directions, causing layers of the material to slide past one another.

Usage

• This is a technical term used primarily in physics and engineering, specifically in the fields of material science, continuum mechanics, and structural engineering.
• It quantifies the relationship between shear stress (the applied force per unit area) and shear strain (the resulting deformation) within the elastic limit of a material.

Examples

• Noun:
  • The elasticity of shear for rubber is very high, allowing it to withstand significant twisting forces.
  • Engineers must calculate the elasticity of shear to ensure a building's components can resist wind loads without permanent deformation.
  • A key difference between solids and fluids is their elasticity of shear; fluids have virtually none.

Advanced Usage

• Shear Modulus (G): The numerical constant that quantifies "elasticity of shear." It is defined as the ratio of shear stress to shear strain (G = stress / strain). A higher shear modulus indicates a stiffer material with respect to shear deformation.
  • The shear modulus, representing the elasticity of shear, is a fundamental parameter in the design of shafts and beams.

Variants and Related Words

• Shear Modulus (n): The specific elastic modulus for shear deformation; synonymous with the modulus of rigidity. This is the direct quantitative measure of "elasticity of shear."
• Modulus of Rigidity (n): Another term for Shear Modulus.
• Elastic Limit (n): The maximum stress a material can withstand without permanent deformation. The "elasticity of shear" is only defined for stresses below this limit.
• Shear Strain (n): The measure of deformation caused by a shearing force.
• Shear Stress (n): The force per unit area causing the shear deformation.

Synonyms

• Shear stiffness: Informal term describing resistance to shear deformation.
• Rigidity (in shear): The quality of being stiff and resistant to shear deformation.

Related Scientific Concepts

• Hooke's Law for Shear: The principle that, within the elastic limit, shear stress is directly proportional to shear strain. The constant of proportionality is the Shear Modulus (elasticity of shear).
  • Within its elastic range, a material's behavior under shear stress obeys Hooke's Law, governed by its elasticity of shear.

Học thuật

Noun

1. the elasticity of a body that has been pulled out of shape by a shearing force