Simulation of Mode I+II Crack Propagation Trajectories Under Static Loading

Dimitrios G. Pavlou

doi:10.15866/iremos.v8i4.7128

Simulation of Mode I+II Crack Propagation Trajectories Under Static Loading

Dimitrios G. Pavlou^(1*)

^(*) Corresponding author

Authors' affiliations

DOI: https://doi.org/10.15866/iremos.v8i4.7128

Abstract

Analytic prediction of the crack propagation path for mode I+II cracks under static loading is performed. The proposed procedure is based on the principle of minimum potential energy. Local minima of the distributions of the P-factor in the vicinity of the crack tip are used to correlate the crack deflection angle to orientation angle of the initial crack. Simulation of crack propagation trajectories for several cracks subjected to mode I+II static loading is derived and discussed.
Copyright © 2015 Praise Worthy Prize - All rights reserved.

Keywords

Crack Propagation Trajectory; Mixed Mode; Minimum Potential Energy; Simulation

Full Text:

PDF

References

H.A. Richard, B. Schramm, N.-H. Schirmeisen, Cracks on mixed mode loading – Theories, experiments, simulations, International Journal of Fatigue, 62, 2014, 93-103.
http://dx.doi.org/10.1016/j.ijfatigue.2013.06.019

S. Boljanovic, S. Maksimovic, Mixed mode crack growth simulation with/without overloads, International Journal of Fatigue, 67, 2014, 183-190.
http://dx.doi.org/10.1016/j.ijfatigue.2013.11.011

M. Beghini, M. Benedetti, V. Fontanari, B.D. Monelli, Stress intensity factors of inclined kinked edge cracks: A simplified approach, Engineering Fracture Mechanics, 81, 2012, 120-129.
http://dx.doi.org/10.1016/j.engfracmech.2011.11.005

V.N. Shlyannikov, A.V. Tumanov, An inclined surface crack subjected to biaxial loading, International Journal of Solids and Structures, 48, 2011, 1778-1790.
http://dx.doi.org/10.1016/j.ijsolstr.2011.02.024

X.-F. Li, K.Y. Lee, G.-J. Tang, Kink angle and fracture load for an angled crack subjected to far-field compressive loading, Engineering Fracture Mechanics, 82, 2012, 172-184.
http://dx.doi.org/10.1016/j.engfracmech.2011.12.006

L.P. Pook, Five decades of crack path research, Engineering Fracture Mechanics, 77, 2010, 1619-1630.
http://dx.doi.org/10.1016/j.engfracmech.2010.04.010

B.X. Shan, A.A. Pelegri, Y. Pan, Interfacial crack kinking subjected to contact effects, Journal of Mechanics of Materials and Structures, 3(4), 2008, 591-605.
http://dx.doi.org/10.2140/jomms.2008.3.591

M.A. Meggiolaro, A.C.O. Miranda, J.T.P. Castro, L.F. Martha, Stress intensity factor equations for branched crack growth, Engineering Fracture Mechanics, 72, 2005, 2647-2671.
http://dx.doi.org/10.1016/j.engfracmech.2005.05.004

S.M.A. Khan, M.K. Khraisheh, A new criterion for mixed mode fracture initiation based on the crack tip plastic core region, International Journal of Plasticity, 20, 2004, 55-84.
http://dx.doi.org/10.1016/s0749-6419(03)00011-1

S.M.A. Khan, M.K. Khraisheh, Analysis of mixed mode initiation angles under various loading conditions, Engineering Fracture Mechanics, 67, 2000, 397-419.
http://dx.doi.org/10.1016/s0013-7944(00)00068-0

S. Suresh, Fatigue crack deflection and fracture surface contact: Micromechanical Models, Metallurgical Transactions A, 16(A), 1985, 249-260.
http://dx.doi.org/10.1007/bf02815306

S. Suresh, Crack deflection: Implications for the growth of long and short fatigue cracks, Metallurgical Transactions A, 14(A), 1983, 2375-2385.
http://dx.doi.org/10.1007/bf02663313

M. Beghini, L. Bertini, V. Fontanari, Stress intensity factors for an inclined edge crack in a semiplane, Engineering Fracture Mechanics, 62, 1999, 607-613.
http://dx.doi.org/10.1016/s0013-7944(99)00011-9

G.C.Sih, B.M.Barthelemy, Mixed mode fatigue crack growth predictions, Engineering Fracture Mechanics, 13(3), 1980, 439-451.
http://dx.doi.org/10.1016/0013-7944(80)90076-4

PS. Theoharis, NP. Andrianopoulos, The T-criterion applied to ductile fracture, International Journal of Fracture, Vol. 20, p.125-30, 1982.
http://dx.doi.org/10.1007/bf01130617

T. Kundu, Fundamentals of Fracture Mechanics, CRC press, 2008, p. 102-108.

D.G. Pavlou,G.N. Labeas, N.V. Vlachakis, F.G. Pavlou, Fatigue crack propagation trajectories under mixed-mode cyclic loading, Engineering Structures, Vol. 25, 2003, 869-875.
http://dx.doi.org/10.1016/s0141-0296(03)00018-x

D.G. Pavlou, N.V.Vlachakis, M. G. Pavlou, V. N.Vlachakis, Estimation of fatigue crack growth retardation due to crack branching, Computational Materials Science, Vol. 29, pp. 215-224, 2004.
http://dx.doi.org/10.1016/j.commatsci.2003.12.003

Pavlou, D.G., Fatigue crack deflection-induced retardation based on the principle of the minimum potential energy, (2015) International Review of Mechanical Engineering (IREME), 9 (3), pp. 324-330.
http://dx.doi.org/10.15866/ireme.v9i3.6153

S. Suresh, C.F. Shih, Plastic near-tip fields for branched cracks, International Journal of Fracture, 30, 1986, 237-259.
http://dx.doi.org/10.1007/bf00019705

Al Gaoudi, O., El Minor, H., Hilali, E., El Minor, H., Bahraoui, I., Pluvinage, G., Azari, Z., Critical notch stress intensity factor concept for pure mode II, (2014) International Review of Mechanical Engineering (IREME), 8 (3), pp. 524-529..

Chorfa, A., Hamidouche, M., Madjoubi, M., Petit, F., Determination of Glass Mechanical Characteristics by Instrumented Indentation, (2014) International Journal on Engineering Applications (IREA), 2 (5), pp. 169-172.

Ihaddadene, N., Erani, P., Cristofolini, L., Baleani, M., Viceconti, M., Fatigue-Fractured Surfaces of Acrylic Bone Cements, (2015) International Review of Civil Engineering (IRECE), 6 (1), pp. 25-30.

Al Gaoudi, O., Achemlal, I., El Minor, H., Pluvinage, G., Plastic zone and volumetric approach-mixed mode fracture I+II emanating from notches, (2015) International Review of Mechanical Engineering (IREME), 9 (2), pp. 160-166.
http://dx.doi.org/10.15866/ireme.v9i2.5279

Refbacks

There are currently no refbacks.

Username
Password
Remember me