000			01796 a2200229 4500
005			20191202171222.0
008			191130b xxu||||| |||| 00| 0 eng d
020			_a9783319951553
040			_cIIT Kanpur
041			_aeng
082			_a530.14 _bV423c
100			_aVardoulakis, Ioannis
245			_aCosserat continuum mechanics _bwith applications to granular media _cIoannis Vardoulakis
260			_bSpringer _c2019 _aSwitzerland
300			_aix, 179p
440			_aLecture notes in applied and computational mechanics
490			_a/ edited by Peter Wriggers; v.87
520			_aThis textbook explores the theory of Cosserat continuum mechanics, and covers fundamental tools, general laws and major models, as well as applications to the mechanics of granular media. While classical continuum mechanics is based on the axiom that the stress tensor is symmetric, theories such as that expressed in the seminal work of the brothers Eugène and François Cosserat are characterized by a non-symmetric stress tensor. The use of von Mises motor mechanics is introduced, for the compact mathematical description of the mechanics and statics of Cosserat continua, as the Cosserat continuum is a manifold of oriented “rigid particles” with 3 dofs of displacement and 3 dofs of rotation, rather than a manifold of points with 3 dofs of displacement. Here, the analysis is restricted to infinitesimal particle displacements and rotations. This book is intended as a valuable supplement to standard Continuum Mechanics courses, and graduate students as well as researchers in mechanics and applied mathematics will benefit from its self-contained text, which is enriched by numerous examples and exercises.
650			_aContinuum mechanics
650			_aMechanics
942			_cBK
999			_c560956 _d560956