Abstract
Dynamic fracture toughness is determined by impacting fracture specimens and determining the onset of crack propagation. In such experiments characteristic impedance (actuator-specimen) matching problems can affect the accuracy of the measured forces. In addition, fracture time is mostly determined by means of surface rather than bulk devices (e.g. gages). In this paper we address these issues in linear-elastic materials. Based on the H-integral we show that either the measured forces or the displacements (whichever is more accurate) can be used to calculate the evolutions of the stress intensity factors. These evolutions must be identical by virtue of the reciprocity between forces and displacements, at least until some bulk fracture process develops. Examples are presented to illustrate how these observations can be applied to ‘fine-tune’ dynamic fracture experiments and complement fracture gage readings.
Similar content being viewed by others
References
L.B. Freund, Dynamic Fracture, Cambridge University Press Cambridge (1990).
Crack Dynamics in Metallic Materials, J.R. Klepaczko(ed.) Springer-Verlag, Wien (1990).
J.J. Mason, J. Lambros and A.J. Rosakis, Journal of the Mechanics and Physics of Solids 40 (3) (1992) 641–661.
H.D. Bui and H. Maigre Comptes Rendus Académie des Sciences de Paris tome 306 Série II (1988) 1213–1216.
H.D. Bui. H. Maigre and D. Rittel, International Journal of Solids and Structures 29 (23) (1992) 2881–2895.
D. Rittel, H. Maigre and H.D. Bui, Scripta Metallurgica et Materialia 26 (1992) 1593–1598.
J.F. Kalthoff and R. Podleschny, in Proceedings of the International Symposium on Impact Engineering, I. Maekawa (ed.) (1992) 605–610.
H. Maigre and D. Rittel, International Journal of Solids and Structures 30 (23) (1993) 3233–3244.
H. Kolsky, Proceedings of the Physical Society of London B62 (1949) 676–700.
D. Rittel and H. Maigre, in Proceeding of the Eighth International Conference on Fracture, Kiev (1993) to appear.
H. Wada, Engineering Fracture Mechanics 41 (6) (1992) 821–831.
K.J. Bathe, Finite Element Procedures in Engineering Analysis, Prentice-Hall, Inc., Englewood Cliffs (1982).
M. Bulik, Sur l'optimisation de protections parasismiques, Doctoral thesis, Universite Paris VI, Paris (1993).
P.S. Follansbee, in Metals Handbook Vol. 8, 9th edn., ASM, Metals Park (1985).
H. Kolsky, Stress Waves in Solids, Dover, Inc., New York (1963).
S. Aoki and T. Kimura, Journal of the Mechanics and Physics of Solids 41 (3) (1993) 413–425.
CEA, CASTEM 2000 Object Oriented FE Code, Saclay.
M.F. Kanninen and C.H. Popelar, Advanced Fracture Mechanics, Oxford University Press, New York (1985).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Maigre, H., Rittel, D. Dynamic fracture detection using the force-displacement reciprocity: application to the compact compression specimen. Int J Fract 73, 67–79 (1995). https://doi.org/10.1007/BF00039852
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF00039852