What is strain in solid mechanics?

In mechanics, strain measures the relative deformation of a solid material compared to a reference position. It is typically expressed as a dimensionless length ratio or percentage and can be broken down into normal and shear components. Solid mechanics uses tensors to describe these strains, stresses, and the relationships between them.

What we know

• Strain is defined as relative deformation compared to a reference position configuration. [3]
• Strain has the dimension of a length ratio, with SI base units of meter per meter, and is usually expressed as a decimal fraction or percentage. [3]
• A given strain can be decomposed into normal components, representing stretch or compression, and shear components, representing angular distortion. [3]
• Solid mechanics extensively uses tensors to describe stresses, strains, and the relationships between them. [2]

Where to go next

• the bigger pictureWhat is solid mechanics?
• how it workedHow do stress and strain relate in materials?
• a case in pointWhat is the Euler-Bernoulli beam equation?
• what followedHow do solid materials fail under loads?
• whoWho was Stephen Timoshenko?
• an unexpected connectionHow does solid mechanics help design dental implants?Solid mechanics is not just for massive structures like bridges and beams, but also has specific applications in designing surgical implants and dental prostheses.

Sources

• [1]solid mechanics (Wikidata Q1080293) · CC0 1.0
• [2]Solid mechanics · CC BY-SA 4.0
• [3]Strain (mechanics) · CC BY-SA 4.0
• [4]Strength of materials · CC BY-SA 4.0
• [5]Material failure theory · CC BY-SA 4.0