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Abstract
The coefficients of the asymptotic expansions at a cohesive crack depend nonlinearly on the softening law and the boundary conditions. It is demonstrated that many commonly-used cohesion-separation laws, e.g. rectangular, linear, bilinear and exponential, can indeed be expressed very accurately in this special form. It will then discuss the use of the leading term of the true displacement asymptotic field at the tip of a cohesive crack as the enrichment function in the XFEM and show that the growth of a cohesive crack in a quasi-brittle material can be accurately predicted using a very coarse mesh.
Resume
Professor Bhushan L. Karihaloo is currently the Head of Research Institute of Theoretical, Applied and Computational Mechanics at Cardiff University.
Professor Karihaloo has made remarkable contributions to many areas of mechanics, including optimum design of structures, theoretical fracture mechanics, especially non-planar crack growth which has had the most scientific impact, fracture of quasi-brittle materials, in particular of concrete and fibre-reinforced cementitious composites, micro-mechanics of transformation toughening of zirconia-based ceramics which have helped in the development of tough advanced engineering ceramics, and development of nano-structured materials with unusual mechanical and physical properties.
For his continuing contributions, Professor Karihaloo has received many awards and honours. In 2006, he was awarded the very prestigious Griffith Medal of The European Structural Integrity Society (2006) for outstanding contributions to Theoretical Fracture Mechanics and Fracture of quasi-brittle materials. He is Honorary Fellow of Czech Society of Mechanics of The Czech Academy of Sciences (1989) for contributions to Structural Optimization and Fracture Mechanics, Honorary Fellow of International Congress on Fracture (2001) for lasting contributions to Fracture Mechanics. He was awarded DSc (Honoris Causa) by St Petersburg University, Russia (2007), and DSc by The University of Sydney. Professor Karihaloo is Editor-in-Chief (together with Professor R O Ritchie, UC Berkeley and Dr I Milne) of the recent 10-Volume Comprehensive Reference Work on Structural Integrity, Elsevier, 2003, which was awarded the Best Reference Prize in 2004 by the American Society for Engineering Education. Professor Karihaloo is Member of Editorial Board of 9 International Journals, Associate Editor of Mechanics of Materials and of the International Journal of Fracture. He is Vice-President, International Congress on Fracture, ICF (1997 ? 2001, 2005 - ), Chair, The Royal Society UK National Panel of IUTAM (2005 - ), and Member of Congress Committee, International Union of Theoretical and Applied Mechanics, IUTAM (1994 - 96, 2000 - ). Professor Karihaloo has been Chairman and/or Member of Scientific Committees of many International Congresses/Conferences/ Symposia. |