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Theory of Elasticity and Plasticity

A Textbook of Solid Body Mechanics

  • Textbook
  • © 2021

Overview

  • 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

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Table of contents (32 chapters)

  1. Basis of Elasticity Theory

  2. Principal Variants of Mathematical Plasticity Theory

Keywords

About this book

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.


Authors and Affiliations

  • Don State Technical University, Rostov-on-don, Russia

    Valentin Molotnikov

  • Institute of Management and Entrepreneur, Rostov-on-don, Russia

    Antonina Molotnikova

About the authors

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.


Bibliographic Information

  • Book Title: Theory of Elasticity and Plasticity

  • Book Subtitle: A Textbook of Solid Body Mechanics

  • Authors: Valentin Molotnikov, Antonina Molotnikova

  • DOI: https://doi.org/10.1007/978-3-030-66622-4

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021

  • Hardcover ISBN: 978-3-030-66621-7Published: 13 April 2021

  • Softcover ISBN: 978-3-030-66624-8Published: 14 April 2022

  • eBook ISBN: 978-3-030-66622-4Published: 12 April 2021

  • Edition Number: 1

  • Number of Pages: XXV, 444

  • Number of Illustrations: 130 b/w illustrations, 6 illustrations in colour

  • Topics: Solid Mechanics, Mechanical Engineering, Classical Mechanics, Classical and Continuum Physics

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