small strain
Quick Summary
In mechanics, small strain refers to deformations where the changes in length and angle are very small, allowing for simplified mathematical analysis. This is often applicable to rigid materials under typical loads.12
The study of deformation involves three key factors:
* Equations of motion: Based on conservation of momentum.123
* Geometry of deformation: Describing strains using displacement gradients.123
* Material properties: Relations between stress and strain specific to the material.123
For small strains, the strain tensor, denoted by \u03b5ij, is used. This tensor is symmetric and has principal directions where only extensional strain occurs. Compatibility relations ensure that strains can be derived from a continuous displacement field.2
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