This book includes a numerical investigation of shear localization in
granular materials within micro-polar hypoplasticity, which was carried
out during my long research stay at the Institute of Soil and Rock
Mechanics at Karlsruhe University from 1985 to 1996. I dedicate my book
to Prof. Gerd Gudehus from Germany, the former head of the Institute of
Rock and Soil Mechanics at Karlsruhe University and the supervisor of my
scientific research during my stay in Karlsruhe, who encouraged me to
deal with shear localization in granular bodies within micro-polar
hypoplasticity. I greatly - preciate his profound knowledge, kind help
constructive discussions, and collegial attitude to his co-workers. I am
thankful to the both series editors: Prof. Wei Wu from Universität für
Bodenkultur in Austria and Prof. Ronaldo Borja from Stanford University
in USA for their helpful suggestions with respect to the contents and
structure of the book. I am also grateful to Dr. Thomas Ditzinger and
Mrs. Heather King from the Springer Publishing Company and SPS data
processing team for their help in editing this book. Gdansk, Jacek
Tejchman June 2008 Contents 1
Introduction.........................................................................
1 2 Literature Overview on
Experiments........................................... 11 3 Theoretical
Model..................................................................
47 3.1 Hypoplastic Constitutive
Model............................................. 47 3.2 Calibration of
Hypoplastic Material Parameters........................... 60 3.3
Micro-polar
Continuum........................................................ 67 3.4
Micro-polar Hypoplastic Constitutive Model..............................
72 3.5 Finite Element
Implementation................................................ 75 4
Finite Element Calculations: Preliminary
Results............................