Stress Analysis of Cylindrical Shell Structures

Summary

The analysis of stress in cylindrical shell structures underpins the safe and efficient design of critical engineering systems, including pressure vessels, pipelines, aerospace fuselages and offshore platforms. These shells often qualify as thin‐walled bodies, permitting classical membrane‐bending decompositions where stress distributions are determined by internal or external pressure, axial loads and local bending moments. Foundational theories—such as the Love–Flügge equations—offer closed‐form solutions under idealised boundary conditions, while modern computational techniques, notably finite‐element analysis, enable detailed examination of complex features like cutouts, flanges and composite reinforcements. Key considerations include elastic and inelastic buckling, plastic yield initiation, stress concentration around discontinuities, and cyclic phenomena such as ratchetting and shakedown. Advances in multi-scale modelling, experimental validation and optimisation algorithms have enhanced predictive accuracy, informing material selection, thickness profiles and stiffener layouts. The global importance of this research area is highlighted by stringent regulatory requirements for safety margins, lifecycle assessment and maintenance scheduling across petrochemical, power generation and transportation sectors.

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Stress Analysis of Cylindrical Shell Structures publication trend

The graph below shows the total number of articles in stress analysis of cylindrical shell structures across all publications each year (not limited to Nature Index journals).

Technical terms

Hoop stress: Circumferential tensile or compressive stress around the shell’s curved surface due to pressure.

Meridional stress: Stress acting along the shell’s longitudinal (axial) direction.

Membrane theory: Simplified shell analysis neglecting bending stiffness, assuming in-plane stress only.

Stress concentration factor (SCF): Ratio of maximum local stress near a discontinuity to the nominal stress.

Limit-load analysis: Determination of the load at which a structure reaches full plastic collapse across its cross-section.

References

  1. Analysis on the Influence Factors of Propellant Tank Stress. Journal of Physics Conference Series (2019).
  2. Strength Analysis of Cylindrical Shells with Tangential Nozzles under Internal Pressure. Applied Sciences (2024).
  3. Stress concentration factor based design curves for cylinder-cylinder connections in pressure vessels. European Mechanical Science (2023).

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