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In psychology, rigidity, or mental rigidity, refers to an obstinate inability to yield or a refusal to appreciate another person's viewpoint or emotions and the tendency to perseverate, which is the inability to change habits and modify concepts and attitudes once developed.
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)
Rigidity is the property of a structure that it does not bend or flex under an applied force. The opposite of rigidity is flexibility.In structural rigidity theory, structures are formed by collections of objects that are themselves rigid bodies, often assumed to take simple geometric forms such as straight rods (line segments), with pairs of objects connected by flexible hinges.
Mostow's rigidity theorem, which states that the geometric structure of negatively curved manifolds is determined by their topological structure. A well-ordered set is rigid in the sense that the only (order-preserving) automorphism on it is the identity function. Consequently, an isomorphism between two given well-ordered sets will be unique.
In particle physics, rigidity is a measure of the resistance of a particle to deflection by magnetic fields, defined as the particle's momentum divided by its charge. For a fully ionised nucleus moving at relativistic speed , this is equivalent to the energy per atomic number.
Shear strain. In materials science, shear modulus or modulus of rigidity, denoted by G, or sometimes S or μ, is a measure of the elastic shear stiffness of a material and is defined as the ratio of shear stress to the shear strain: [1]
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Infinitesimal rigidity is the strongest form of rigidity that restricts a framework from admitting even non-trivial infinitesimal motions. It is also called first-order rigidity because of its relation to the rigidity matrix. More precisely, consider the linear equations