Theory of Elasticity and Plasticity

This book serves as a core text for university curricula in solid body mechanics and, at the same time, examines the main achievements of state of the art research in the mechanics of elastic and non-elastic materials. This latter goal of the book is achieved through rich bibliographic references, many from the authors' own work. authors. Distinct from similar texts, there are no claims in this volume to a single universal theory of plasticity. However, solutions are given to some new problems and to the construction of models useful both in pedagogic terms for students and practical terms for professional design engineers. Examples include the authors' decisions about the Brazilian test, stability of rock exposure, and pile foundations. Designed for both upper-level university students and specialists in the mechanics of deformable hard body, the material in this book serves as a source for numerous topics of course and diploma concentration.

Presents concepts with the gradually increasing complexity Features an in-depth study of the physical foundations of the phenomenon of deformation of a solid body Demonstrates of the use of harmonic and holomorphic functions in the boundary tasks on examples important for engineering Outlines the theory of plasticity from the first experiments of Coulomb to endochronous variants of the theory and non-traditional (synergetic) models of the present day

Autorentext
Prof. Dr. Molotnikov Valentin Yakovlevich is Professor Emeritus at Don State Technical University, Rostov-on-Don, Russia. Prof. Dr. Molotnikova Antonina Aleksandrovna is a Professor with the Institute of Management and Enterepreneurship, Rostov-on-Don.

Inhalt
Preface .- Basic Concept .- The First Main Problem Of Elasticity.- Theory .- The Second Main Problem Of Elasticity.- Theory.- Three-Dimensional Harmonic Functions .- Elastic Half-Space .- The Hertz Problem .- Study Of The Stress State At A Point In.- The Body .- Linear Elastic Systems .- The Beginnings Of The Theory Of Equilibrium.- Stability .- Plane Problem Of Elasticity Theory .- Mathematical Theory Of Structural Imperfections.- Essay On The Origin And Development.- Of The Theory Of Plasticity .- Initial Concepts Of Plasticity Theory .- On The Plasticity Conditions.- Of A Homogeneous Isotropic Body .- Deformation Theory Of Plasticity Of.- Genky Nadai Ilyushin .- Solving The Simplest Problems In The.- Deformation Theory Of Plasticity .- Additions And Generalizations Of The.- Deformation Theory Of Plasticity .- Theories Of Plastic Flow .- Other Versions Of The Theory.- Problem Statement .- General Deformation Characteristic.- Of Plastic Materials .- Basic Axioms Of The Mathematical.- Model Of A Plastic Body .- The Yield Condition At The Ultimate.- Speed Of Loading .- Stretching A Sample With A.- Flow Tooth .- Construction Of The Shear.- Resistance Operator .- The Full Effect Of Baushinger .- Uniaxial Stretching-Compression.- Of A Plastic Rod .- About The Orthogonal Reloading.- Module .- Flat-Plastic Deformation .- Monotonous Flat-Plastic Deformation .- Arbitrary Non-Monotonic Flat-Plastic.- Deformation .- Types Of Plastic Hardening .- On Boundary Value Problems Of Inelastic.- Body Mechanics .- A Complex Deformation Of Soils .- Simple Loading Of Geomaterials.