Use of elastic follow-up in integrity assessment of structures

S. Hadidi-Moud, D.J. Smith

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)


This paper reviews the concepts and definitions related to elastic follow-up, Z, together with its potential use in stress classification. Based on the principles governing benchmark multiple bar structures elastic follow-up (EFU) is quantified. Local nonlinearities arising within a structure influence elastic follow-up. These include variations in the geometry of structure, its material properties, effects of plasticity and creep, structural discontinuities and boundary conditions. Elastic follow-up is shown to be simple to evaluate, is physically meaningful (as it relates strain accumulation in the structure to its cause) and is useful in design practice. In this generalised definition Z = 1 indicates no follow-up and represents a fully displacement controlled situation. In contrast Z = ∞ represents the extreme case of fully load controlled situation. Presence of mixed boundary conditions is interpreted as 1 < Z < ∞. A methodology that overcomes the singularity problem of cracked structure to determine Z is then proposed. The distinctive characteristic of the proposed approach is that it takes account of situations where the structure contains defects.
Original languageEnglish
Pages (from-to)523-531
Number of pages9
JournalAmerican Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP
Publication statusPublished - 2008
EventASME 2008 Pressure Vessels and Piping Conference - Chicago, United States
Duration: 27 Jul 200831 Jul 2008

Bibliographical note

This paper is not available in Pure.
ISBN: 978-0-7918-4826-5


  • Plasticity
  • Creep
  • Product quality
  • Stress
  • Material properties
  • Design
  • , Boundary-value problems
  • Displacement
  • Geometry


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