Generalized plane strain analysis of solenoid magnets

A stress analysis assuming generalized plane strain conditions is presented for a solenoid magnet with orthotropic material properties. Analytic expressions are provided for the longitudinal, radial and axial stress and strain valid in a neighborhood of the mid-plane of a long solenoid. Calculations are made for an example magnet with multiple coil sections and external reinforcement. The results of generalized plane strain and finite element methods are compared with plane stress and plane strain analyses.<
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