Physico-Mathematical Theory of High Irreversible Strains in Metals

Presents a new physical and mathematical theory of irreversible deformations and ductile fracture of metals that acknowledges the continuous change in the structure of materials during deformation and the accumulation of deformation damage. Plastic deformation, viscous destruction, evolution of structure, creep processes, and long-term strength of metals and stress relaxation are described in the framework of a unified approach and model. The author then expands this into a mathematical model for determining the mechanical characteristics of quasi-samples of standard mechanical properties in deformed semi-finished products.

List of contents

Foreword
Introduction
1. Fundamentals of mechanics of strength and plasticity of metals
2. Fundamentals of the phenomenological theory of fracture and fracture criteria of metals at high plastic strains
3. Fundamentals of the physics of strength and plasticity of metals
4. A physico-phenomenological model of the single process of plastic deformation and ductile fracture of metals
5. A physico-phenomenological model of plasticity at high cyclic deformation and similar cold deformation
6. Physico-phenomenological models of irreversible strains in metals
7. Experimental verification of adequacy of models
8. Mathematical formulation and examples of solving applied problems of the physico–mathematical theory of plasticity
Conclusion
References
Index

About the author

V.M. Greshnov, Ufa State Aviation Technical University, Ufa, Russia

Summary

Presents a new physical and mathematical theory of irreversible deformations and ductile fracture of metals that acknowledges the continuous change in the structure of materials during deformation and the accumulation of deformation damage.

Product details

• Authors: V.M. Greshnov, V.m. (Ufa State Aviation Technical Unive Greshnov
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Paperback / Softback
• Released: 13.12.2021
• EAN: 9781032237282
• ISBN: 978-1-0-3223728-2
• No. of pages: 254
• Subjects: Natural sciences, medicine, IT, technology > Technology > Mechanical engineering, production engineering; SCIENCE / Chemistry / General, SCIENCE / Physics / Condensed Matter, TECHNOLOGY & ENGINEERING / Metallurgy, Testing of materials, Materials science, Applied mathematics, Engineering: general, Applied physics, Dynamics & statics, TECHNOLOGY & ENGINEERING / Materials Science / General, Dynamics and statics, Stress & fracture