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BiaxiaVMultiaxial Fatigue and Fracture
          Andrea Carpinkri, Manuel de Freitas and Andrea Spagnoli (Eds.)
          0 Elsevier Science Ltd. and ESIS.  A11 rights reserved.              34 1






           THREE-DIMENSIONAL CRACK GROWTH. NUMERICAL EVALUATIONS AND
                                   EXPERIMENTAL TESTS


                       Calogero CALi, Roberto CITARELLA, Michele PERRELLA
                       Department of Mechanical Engineering, University of Salerno
                           via Ponte don Melillo I, 84084 Fisciano (SA), Italy





          ABSTRACT

          Experimental observations of three- and two-dimensional fatigue crack growth are compared to
          numerical predictions from the  computer code BEASY.  The two  dimensional propagation
          occur  in  a  Multiple  Site  Damage  (MSD)  scenario  created  on  a  pre-notched  specimen,
          undergoing a  traction  fatigue  load  as  defined  by  a  general  load  spectrum. Experimental
          analyses on a fatigue machine were carried out in order to validate the numerical simulation
          and to provide the necessary material fatigue data for the aluminium plates. The numerical
          code  adopted  (BEASY) is  based  on  Dual  Boundary  Element Method  (DBEM).  General
          modelling capabilities are allowed by this approach, with the allowance for general crack front
          shape and a fully automatic propagation process. By means of a non-linear regression analysis,
          applied on in house obtained experimental data, the material parameters for the NASGRO 2.0
          crack propagation law were  defined, capable to effectively keep into account the threshold
          effect  and  the  unstable  final propagation  (the  crack  closure option  was  switched  off).  A
          satisfactory agreement between numerical and experimental crack growth rates was obtained,
          even starting from a complex MSD scenario, created by the presence of three holes in the plate.
          Moreover the load introduction to the specimen was monitored by strain gauge equipment. The
          numerical simulation include also the through the thickness propagation, corresponding to 3D
          part-through cracks; in this case some specimen were pre-notched  by a comer crack on one of
          the holes and the 3D experimental crack propagation monitored.

          KEYWORDS

          MSD, Part-through crack, Load Spectrum, D~al BEM, NASGRO 2.0, BEASY


          INTRODUCTION
          Damage Tolerance is used in the design of many types of structures, such as bridges, military
          ships, commercial aircraft, space vehicle and merchant ships. Damage tolerant design requires
          accurate prediction  of  fatigue crack  growth under  service  conditions and  typicaIly  this  is
          accomplished with the aid of a numerical code.  Many aspects of fracture mechanics are more
          complicated in practice than in two-dimensional laboratory tests, textbook examples, or overly
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