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A parameter for quantitative analysis of plasticity induced crack closure
Affiliation:1. CEMUC, Department of Mechanical Engineering, University of Coimbra, Rua Luís Reis Santos, Pinhal de Marrocos, 3030-788 Coimbra, Portugal;2. CEMUC, Escola Superior de Tecnologia do Instituto Politécnico de Castelo Branco, Av. do Empresário, 6000-767 Castelo Branco, Portugal;1. Institute of Problems of Mechanical Engineering RAS, V.O., Bolshoj pr., 61, St.- Petersburg, 199178 Russia;2. St.-Petersburg State Polytechnical University, Polytekhnicheskaya, 29, St.-Petersburg, 195259 Russia;1. Instituto Politécnico de Castelo Branco, Escola Superior Agrária, Apartado 119, 6001-909 Castelo Branco, Portugal;2. Centro de Estudos Florestais, Instituto Superior de Agronomia, Universidade de Lisboa, Tapada da Ajuda, 1349-017 Lisboa, Portugal;3. Department of Natural Resources and Environmental Eng., University of Vigo, 36310 Vigo, Spain;4. Centro Universitario de la Defensa, Academia General Militar, 50090 Zaragoza, Spain;1. Shanghai Institute of Special Equipment Inspection and Technical Research, Shanghai, 200333, China;2. East China University of Science and Technology, Shanghai, 200237, China;1. CEMMPRE, Department of Mechanical Engineering, University of Coimbra, Portugal;2. PPrime Institute, ISAE-ENSMA, Poitiers, France;1. Jinan University, Institute of Physical Internet, School of Electrical and Information Engineering, 519070, Zhuhai, PR China;2. Instituto Politécnico de Castelo Branco, Av. do Empresário, 6000-767, Castelo Branco, Portugal;3. University of Minho, ALGORITMI Research Unit, Campus de Gualtar, 4710-057, Braga, Portugal;4. Lancaster University, Department of Management Science, Lancaster University Management School, Lancaster University, LA1 4YX, UK;1. Department of Mechanical Engineering, Kyushu University, 744 Motooka, Nishi-Ku, Fukuoka 819-0395, Japan;2. Japan Synchrotron Radiation Research Institute, 1-1-1, Kouto, Sayo-cho, Sayo-gun, Hyogo 679-5198, Japan
Abstract:Numerical models have been successfully developed to predict plasticity induced crack closure (PICC). However, despite the large research effort a full understanding of the links between physical parameters, residual plastic wake and PICC has not been achieved yet. The plastic extension of material behind crack tip, Δyp, obtained by the integration of vertical plastic deformation perpendicularly to crack flank, is proposed here to quantify the residual plastic field. The values of Δyp and PICC were obtained numerically in a M(T) specimen using the finite element method. An excellent correlation was found between PICC and Δyp which indicates that this parameter controls the phenomenon, and can be used to quantify the effect of physical parameters. An empirical model was developed to predict PICC assuming that the residual plastic field is a set of vertical plastic wedges, that the linear superposition principle applies and that the influence of a particular wedge exponentially decreases with distance to crack tip. The model was applied successfully to predict PICC for different residual plastic fields which provided an additional validation of Δyp as the parameter controlling PICC.
Keywords:Plasticity induced crack closure (PICC)  Finite element method  Plastic wedges  Residual plastic field
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