International Journal of Fracture

, Volume 116, Issue 2, pp 141–160

Constraint Loss under Dynamic Loading in Rate Independent Plastic Solids


  • K.R. Jayadevan
    • Indian Institute of Science
  • R. Narasimhan
    • Department of Mechanical EngineeringIndian Institute of Science
  • T.S. Ramamurthy
    • Department of Aerospace EngineeringIndian Institute of Science
  • B. Dattaguru
    • Department of Aerospace EngineeringIndian Institute of Science

DOI: 10.1023/A:1020150205634

Cite this article as:
Jayadevan, K., Narasimhan, R., Ramamurthy, T. et al. International Journal of Fracture (2002) 116: 141. doi:10.1023/A:1020150205634


The objectives of this paper are to examine the loss of crack tip constraint in dynamically loaded fracture specimens and to assess whether it can lead to enhancement in the fracture toughness at high loading rates which has been observed in several experimental studies. To this end, 2-D plane strain finite element analyses of single edge notched (tension) specimen and three point bend specimen subjected to time varying loads are performed. The material is assumed to obey the small strain J2 flow theory of plasticity with rate independent behaviour. The results demonstrate that a valid JQ field exists under dynamic loading irrespective of the crack length and specimen geometry. Further, the constraint parameter Q becomes strongly negative at high loading rates, particularly in deeply cracked specimens. The variation of dynamic fracture toughness Kdc with stress intensity rate K for cleavage cracking is predicted using a simple critical stress criterion. It is found that inertia-driven constraint loss can substantially enhance Kdc for \(\dot K > 10^5 { MPa}\sqrt {m} {/s}\).

rate independent plastic solidsconstraint lossdynamic loadingfinite elementscleavage fracturedynamic fracture toughness

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© Kluwer Academic Publishers 2002