Rigid or rigidity may refer to:
Mathematics and physics
- Stiffness, the property of a solid body to resist deformation, which is sometimes referred to as rigidity
 - Structural rigidity, a mathematical theory of the stiffness of ensembles of rigid objects connected by hinges
 - Rigidity (electromagnetism), the resistance of a charged particle to deflection by a magnetic field
 - Rigidity (mathematics), a property of a collection of mathematical objects (for instance sets or functions)
 - Rigid body, in physics, a simplification of the concept of an object to allow for modelling
 - Rigid transformation, in mathematics, a rigid transformation preserves distances between every pair of points
 - Rigidity (chemistry), the tendency of a substance to retain/maintain their shape when subjected to outside force
 - (Modulus of) rigidity or shear modulus (material science), the tendency of a substance to retain/maintain their shape when subjected to outside force
 
Medicine
- Rigidity (neurology), an increase in muscle tone leading to a resistance to passive movement throughout the range of motion
 - Rigidity (psychology), an obstacle to problem solving which arises from over-dependence on prior experiences
 
Other uses
- Real rigidity, and nominal rigidity, the resistance of prices and wages to market changes in macroeconomics
 - Ridgid, a brand of tools
 
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