03537nmm a2200325 u 4500001001200000003002700012005001700039007002400056008004100080020001800121100001400139245012100153250001700274260006300291300004200354505100200396653002301398653002001421653003101441653002401472653003101496653001401527710003401541041001901575989003801594490004101632856007201673082000801745520145801753EB000659645EBX0100000000000000051272700000000000000.0cr|||||||||||||||||||||140122 ||| eng a97835406963391 aGuz, A.N.00aFundamentals of the Three-Dimensional Theory of Stability of Deformable BodieshElektronische Ressourcecby A.N. Guz a1st ed. 1999 aBerlin, HeidelbergbSpringer Berlin Heidelbergc1999, 1999 aXVI, 557 p. 25 illusbonline resource0 a1. Fundamentals of nonlinear solid mechanics -- 1 Essentials of tensor analysis -- 2 Description of state of strain -- 3 Description of state of stress -- 4 Elastic solids -- 5 Plastic solids -- 6 Solids with rheological properties -- 2. Fundamentals of linearised solid mechanics -- 7 States of stress and strain -- 8 Elastic solids -- 9 Non-elastic solids -- 3. General issues of three-dimensional linearised theory of deformable bodies stability (TLTDBS) -- 10 Stability criteria for deformable bodies -- 11 General statement of stability problem for deformable bodies -- 12 Sufficient conditions of applicability of the static method -- 13 Variational principles -- 14 General solutions for uniform precritical states -- 15 Approximate approach in three-dimensional theory of stability -- 4. Analysis of the simplest problems -- 16 All-round compression of isotropic simply connected body. Application of the integral stability criteria -- 17 Internal (structural) instability. Properties of t aMechanics, Applied aSolid Mechanics aComputational intelligence aClassical Mechanics aComputational Intelligence aMechanics2 aSpringerLink (Online service)07aeng2ISO 639-2 bSBAaSpringer Book Archives -20040 aFoundations of Engineering Mechanics uhttps://doi.org/10.1007/978-3-540-69633-9?nosfx=yxVerlag3Volltext0 a531 aAt the present time stability theory of deformable systems has been developed into a manifold field within solid mechanics with methods, techniques and approaches of its own. We can hardly name a branch of industry or civil engineering where the results of the stability theory have not found their application. This extensive development together with engineering applications are reflected in a flurry of papers appearing in periodicals as well as in a plenty of monographs, textbooks and reference books. In so doing, overwhelming majority of researchers, con cerned with the problems of practical interest, have dealt with the loss of stability in the thin-walled structural elements. Trying to simplify solution of the problems, they have used two- and one-dimensional theories based on various auxiliary hypotheses. This activity contributed a lot to the preferential development of the stability theory of thin-walled structures and organisation of this theory into a branch of solid mechanics with its own up-to-date methods and trends, but left three-dimensional linearised theory of deformable bodies stability (TL TDBS), methods of solving and solutions of the three-dimensional stability problems themselves almost without attention. It must be emphasised that by three dimensional theories and problems in this book are meant those theories and problems which do not draw two-dimensional plate and shell and one-dimensional rod theories