Stress–Strain State of an Elastoplastic Orthotropic Shell along a Curve with an Internal Crack

Orthotropic shells are widely used today in industry and in engineering. For example, they are employed in inertial thermonuclear synthesis and also as containers for phase-transfer heat storage units. In view of their growing popularity, modeling of their stress–strain state is of great interest, especially in the presence of a crack. Existing theories of shells and transverse shear are unhelpful, since they are physically unrealistic: they permit interpenetration or overlap of the crack surfaces at the compressive edge under the action of a flexural load. On the basis of nonlinear continuum theory and perturbation techniques, however, the stress–strain state of an elastoplastic orthotropic shell along a curve with an internal crack may be modeled by means of singular integral equations, as established in the present work.