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rigidity (n.)

1620s, "stiffness, inflexibility," especially in mechanics, "resistance to change of form;" 1620s, from Latin rigiditas "stiffness," from rigidus "hard, stiff, rough, severe" (see rigid). By 1650s as "strictness, severity," but rigidity tends to be used of physical stiffness, while rigor is more active or moral. Rigidness (1640s) "perhaps holds a middle position" [Century Dictionary].

Rigidity is directly opposed to flexibility, and only indirectly to malleability and ductility, which depend chiefly on relations between the tenacity, the rigidity, and the limit of elasticity. [Century Dictionary]

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Definitions of rigidity from WordNet

rigidity (n.)
the physical property of being stiff and resisting bending;
Synonyms: rigidness
rigidity (n.)
the quality of being rigid and rigorously severe;
Synonyms: inflexibility / rigidness
From wordnet.princeton.edu