1 Copyright ©2011 by ASME
IMPROVED J AND CTOD ESTIMATION FORMULAS FOR C(T)
FRACTURE SPECIMENS INCLUDING OVERMATCHED WELDMENTS
Rafael G. Savioli
Department of Naval Architecture and Ocean Engineering,University of São Paulo
São Paulo, SP 05508−900, Brazil
Email: savioli@usp.br
Proceedings of the ASME 2011 Pressure Vessels & Piping Division Conference
PVP2011
July 17−21, 2011, Baltimore, Maryland, USA
PVP2011-57030
Claudio Ruggieri
Department of Naval Architecture and Ocean Engineering,University of São Paulo,
São Paulo, SP 05508−900, Brazil
Email: claudio.ruggieri@usp.br
ABSTRACT
This work focuses on the evaluation procedure to determine the
elastic-plastic J-integral and CTOD fracture toughness based
upon the η -method for C(T) fracture specimens made of homo-
geneous and welded steels. The primary objective of this inves-
tigation is to enlarge on previous developments of J and CTOD
estimation procedures for this crack configuration while, at the
same time, addressing effects of strength mismatch on the plastic
η -factors. The present analyses enable the introduction of a larg-
er set of factor η for a wide range of crack sizes (as measured by
the a∕W-ratio) and material properties, including different lev-
els of weld strength mismatch, applicable to structural, pipeline
and pressure vessel steels. Very detailed non-linear finite ele-
ment analyses for plane-strain models of square groove, center
cracked C(T) fracture specimens provide the evolution of load
with increased crack mouth opening displacement required for
the estimation procedure. Overall, the present study, when taken
together with previous investigations, provides a fairly extensive
body of results to determine parameters J and CTOD for differ-
ent materials using C(T) specimens with varying overmatch con-
ditions.
INTRODUCTION
Fracture mechanics based approaches, also referred to as Engi-
neering Critical Assessment (ECA) procedures, applicable to
structural components rely upon the notion that a single parame-
ter defining the crack driving force characterizes the fracture re-
sistance of the material [1-3]. These approaches provide a means
for introducing acceptance criteria for cracked structural compo-
nents by relating the operating conditions to a critical applied
load or critical crack size. In particular, assessments of cleavage
fracture for ferritic steels in the ductile-to-brittle transition
(DBT) region are based on the one-parameter elastic-plastic
characterization of macroscopic loading, most commonly the J-
integral or the Crack Tip Opening Displacement (CTOD, δ ),
and their corresponding macroscopic measures of cleavage frac-
ture toughness ( J
c
or δ
c
).
Conventional testing programs to measure cleavage frac-
ture toughness of ferritic steels, including pipeline steels and
their weldments, routinely employ three-point bend specimens
containing deep, through cracks ( a∕W ≥ 0.5 ). In particular,
fracture testing of pipeline steel weldments make extensive use
of single edge notch bend (SE(B)) specimens with through-