http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
Imperfect Bifurcation in Structures and Materials
Engineering Use of Group-Theoretic Bifurcation Theory
This book provides a modern investigation into the bifurcation phenomena of physical and engineering problems. Systematic methods - based on asymptotic, probabilistic, and group-theoretic standpoints - are used to examine experimental and computational data from numerous examples (soil, sand, kaolin, concrete, domes). Engineers may find this book, with its minimized mathematical formalism, to be a useful introduction to modern bifurcation theory. For mathematicians, static bifurcation theory for finite-dimensional systems, as well as its implications for practical problems, is illuminated by the numerous examples.
Introduction to Bifurcation Behavior -- Critical Point and Local Behavior -- Imperfection Sensitivity Laws -- Critical Initial Imperfections (I) -- Stochasticity of Initial Imperfections (I) -- Experimentally-observed Bifurcation Diagrams -- Group-theoretic Bifurcation Theory -- Bifurcation Behavior of Dn-equivariant Systems -- Critical Initial Imperfections (II) -- Stochasticity of Initial Imperfections (II) -- Description of Bifurcation Behaviors -- Bifurcation of Cylindrical Sand Specimens -- Echelon-mode Formation -- Bifurcation of Steel Specimens -- Miscellaneous Aspects of Bifurcation Phenomena -- References -- Index.
Applied mathematical sciences (Springer-Verlag New York Inc.) ; 149