caa a22 4500 46794492X CHVBK 20180405193736.0 cr unu---uuuuu 170328e20050301xx s 000 0 eng 10.1007/s00419-004-0367-0 doi (NATIONALLICENCE)springer-10.1007/s00419-004-0367-0 (NATIONALLICENCE)springer-10.1007/BF02637041 Estimation of crack density due to fragmentation of brittle ellipsoidal inhomogeneities embedded in a ductile matrix [Elektronische Daten] [K. C. Le, M. Korobeinik, K. Hackl] An estimation is found for the energy release due to fragmentation of a brittle inhomogeneity of ellipsoidal shape embedded in a ductile matrix under remote static loading. In the state of completed fragmentation the inhomogeneity is replaced by a void with zero stiffness. Thus, the problem of estimating the energy release reduces to the eigenstrain problem solved by Eshelby. The energy release calculated for prolate spheroidal inhomogeneities is used in the balance of energy to determine the crack density. The application to the geological system of garnet inhomogeneities embedded in a quartz matrix is considered. Springer-Verlag Berlin Heidelberg, 2005 Inhomogeneity nationallicence Energy release nationallicence Fragmentation nationallicence Crack density nationallicence Le K. C. Lehrstuhl für Allgemeine Mechanik, Ruhr-Universität Bochum, 44780, Bochum, Germany aut Korobeinik M. Lehrstuhl für Allgemeine Mechanik, Ruhr-Universität Bochum, 44780, Bochum, Germany aut Hackl K. Lehrstuhl für Allgemeine Mechanik, Ruhr-Universität Bochum, 44780, Bochum, Germany aut Archive of Applied Mechanics Springer-Verlag 74/5-6(2005-03-01), 439-448 0939-1533 74:5-6<439 2005 74 419 https://doi.org/10.1007/s00419-004-0367-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00419-004-0367-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Le K. C. Lehrstuhl für Allgemeine Mechanik, Ruhr-Universität Bochum, 44780, Bochum, Germany aut NATIONALLICENCE 700 1- Korobeinik M. Lehrstuhl für Allgemeine Mechanik, Ruhr-Universität Bochum, 44780, Bochum, Germany aut NATIONALLICENCE 700 1- Hackl K. Lehrstuhl für Allgemeine Mechanik, Ruhr-Universität Bochum, 44780, Bochum, Germany aut NATIONALLICENCE 773 0- Archive of Applied Mechanics Springer-Verlag 74/5-6(2005-03-01), 439-448 0939-1533 74:5-6<439 2005 74 419 NATIONALLICENCE 700 1- Le K. Lehrstuhl für Allgemeine Mechanik, Ruhr-Universität Bochum, 44780, Bochum, Germany aut NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02637041 text/html Onlinezugriff via DOI Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE NATIONALLICENCE NL-springer