Linear matching method for design limits in plasticity

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

In this paper a state-of-the-art numerical method is discussed for the evaluation of the shakedown and ratchet limits for an elastic-perfectly plastic body subjected to cyclic thermal and mechanical load history. The limit load or
collapse load, i.e. the load carrying capacity, is also determined as a special case of shakedown analysis. These design limits in plasticity have been solved by characterizing the steady cyclic state using a general cyclic minimum
theorem. For a prescribed class of kinematically admissible inelastic strain rate histories, the minimum of the functional for these design limits are found by a programming method, the Linear Matching Method (LMM), which converges to the least upper bound. By ensuring that both equilibrium and compatibility are satisfied at each stage, a direct algorithm has also been derived to determine the lower bound of shakedown and ratchet limit using the best residual stress
calculated during the LMM procedure. Three practical examples of the LMM are provided to confirm the efficiency and effectiveness of the method: the behaviour of a complex 3D tubeplate in a typical AGR superheater header, the
behaviour of a fiber reinforced metal matrix composite under loading and thermal cycling conditions, and effects of drilling holes on the ratchet limit and crack tip plastic strain range fora centre cracked plate subjected to constant tensile loading and cyclic bending moment.
LanguageEnglish
Pages159-183
Number of pages25
JournalComputers, Materials and Continua - Tech Science Press
Volume20
Issue number2
Publication statusPublished - Dec 2010

Fingerprint

Load limits
Plasticity
Fiber reinforced metals
Superheaters
Ratchet
Thermal cycling
Bending moments
Crack tips
Strain rate
Plastic deformation
Numerical methods
Drilling
Plastics
Composite materials
Plastic body
Metal Matrix Composites
Fiber-reinforced Composite
Carrying Capacity
Cycling
Crack Tip

Keywords

  • limit load
  • shakedown limit
  • ratchet limit
  • plastic strain range
  • linear matching method

Cite this

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Linear matching method for design limits in plasticity. / Chen, Haofeng.

In: Computers, Materials and Continua - Tech Science Press, Vol. 20, No. 2, 12.2010, p. 159-183.

Research output: Contribution to journalArticle

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