Definition of Linear elasticity
Linear elasticity is a mathematical model of how solid objects deform and become internally stressed by prescribed loading conditions. It is a simplification of the more general nonlinear theory of elasticity and a branch of continuum mechanics.
The fundamental assumptions of linear elasticity are infinitesimal strains — meaning, "small" deformations — and linear relationships between the components of stress and strain — hence the "linear" in its name. Linear elasticity is valid only for stress states that do not produce yielding. Its assumptions are reasonable for many engineering materials and engineering design scenarios. Linear elasticity is therefore used extensively in structural analysis and engineering design, often with the aid of finite element analysis.
Related terms
Acoustoelastic effect
The acoustoelastic effect is how the sound velocities (both longitudinal and shear wave…
Poromechanics
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Acoustics
Acoustics is a branch of continuum mechanics that deals with the study of mechanical…
Sound particle
In continuum mechanics, specifically in acoustics, a sound particle refers to a material…
Lamb waves
In solid mechanics, Lamb waves propagate in solid plates or spheres. They are elastic…
Friction Acoustics
Solid bodies in contact that undergo shear relative motion (friction) radiate energy…
Nonlinear acoustics
Nonlinear acoustics (NLA) is a branch of physics and acoustics dealing with sound waves…
Rayleigh wave
In solid mechanics, Rayleigh waves are a type of surface acoustic wave that travel along…
Acoustic theory
Acoustic theory is a scientific field that relates to the description of sound waves. It…
Frequently asked questions
What is Linear elasticity?
Linear elasticity is a mathematical model of how solid objects deform and become internally stressed by prescribed loading conditions. It is a simplification of the more general nonlinear theory of elasticity and a branch of continuum mechanics.