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Nonlinear Beam Theory
This lecture covers the geometrically exact stress-strain relations for a nonlinear beam, specializations of the general theory, first-order constitutive relation for linear elastic behavior, and buckling of a circular ring. The instructor discusses the nonlinear beam theory, which helps organize and systematize lateral deformations, formulates the nonlinear geometry of curves, and addresses fundamental issues that arise in plate and shell theory.
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