Article | REF: C2513 V1

Instability of shells

Authors: Guy LAGAE, Wesley VANLAERE

Publication date: November 10, 2009, Review date: September 4, 2023

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7. Impact of elastic-plastic behavior

Most hulls are made of mild steel. The material's behavior is assumed to be elastic-perfectly plastic, and is fully characterized by a modulus of elasticity E and a yield stress f yk . The effect of strain-hardening is thus neglected, and the material is assumed to be infinitely ductile.

Very thin hulls warp while the material is still elastic. The greater strength of thicker hulls means that local stresses can reach the elastic limit.

The relative thickness of the hull is characterized by the relative slenderness of the structure.

  • Similar to the definition introduced in the study of columns and plates, the relative slenderness of a shell is defined by :

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Impact of elastic-plastic behavior