International Journal of Fracture

, Volume 116, Issue 2, pp 141-160

First online:

Constraint Loss under Dynamic Loading in Rate Independent Plastic Solids

  • K.R. JayadevanAffiliated withIndian Institute of Science
  • , R. NarasimhanAffiliated withDepartment of Mechanical Engineering, Indian Institute of Science
  • , T.S. RamamurthyAffiliated withDepartment of Aerospace Engineering, Indian Institute of Science
  • , B. DattaguruAffiliated withDepartment of Aerospace Engineering, Indian Institute of Science

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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 J 2 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 K dc 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 K dc for \(\dot K > 10^5 { MPa}\sqrt {m} {/s}\).

rate independent plastic solids constraint loss dynamic loading finite elements cleavage fracture dynamic fracture toughness