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2022 | Book

Division into Classical and Non-classical Problems of Fracture Mechanics Read chapter Read first chapter

Eight Non-Classical Problems of Fracture Mechanics

Author: Prof. Dr. Aleksander N. Guz

Publisher: Springer International Publishing

Book Series : Advanced Structured Materials

Part of: Springer Professional "Wirtschaft+Technik" , Springer Professional "Technik"

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About this book

This book presents an analysis of eight non-classical problems of fracture and failure mechanics mainly obtained by research in the department of dynamics and stability of continuum of the S. P. Timoshenko Institute of Mechanics of the National Academy of Sciences of Ukraine (NAS of Ukraine). It focusses on the application of the 3D (three-dimensional) theories of stability, dynamics, and statics of solid mechanics to the investigation of non-classical problems of fracture and failure mechanics.

Table of Contents

Frontmatter

General Problems

Frontmatter
1. Division into Classical and Non-classical Problems of Fracture Mechanics
Abstract
In this chapter, the division of the problems of fracture mechanics into the classical and non-classical problems is presented in a relatively consistent and clear form, eight non-classical problems of fracture mechanics (the subject of research in the Department of Dynamics and Stability of Continua of the S. P. Timoshenko Institute of Mechanics of the National Academy of Sciences of Ukraine) are formulated rather briefly, and the examples of investigating situations are given that cannot be classified as the non-classical problems of fracture mechanics.
Aleksander N. Guz
2. Brief Statement of Foundations of Three-Dimensional Linearized Theory of the Deformable Bodies Stability (TLTDBS)
Abstract
This chapter provides, in a very brief form, information on the foundations of the three-dimensional linearized theory of stability of deformable bodies, including the basic relations and information about the mathematical apparatus of this theory. The expediency of including this material into this monograph follows from the Notes in the Introduction and the information set out in subsection 1.​4.​1. The main consideration can be formulated as follows: in the five problems (Problems 1, 2, 3, 4, and 6 of the eight non-classical problems of fracture mechanics), a three-dimensional linearized theory of stability of deformable bodies is applied, which is less well-known and less widely used in comparison with other branches of mechanics of deformable bodies.
Aleksander N. Guz

Fracture in Composite Materials Under Compression

Frontmatter
3. Problem 1. Fracture in Composite Materials Under Compression Along the Reinforcing Elements
Abstract
In this chapter, in a very brief form, the main results on the issue are discussed which are obtained starting with 1967–1968 in the Department of Dynamics and Stability of the Continua of the S.P. Timoshenko Institute of Mechanics of NAS of Ukraine.
Aleksander N. Guz
4. Problem 2. Model of Short Fibers in Theory of Stability and Fracture Mechanics of Composite Materials Under Compression
Abstract
In this chapter, in a rather brief form (in comparison with Problem 1, Chap. 3 of this monograph), the main results on this problem are presented, which are obtained in the Department of Dynamics and Stability of Continua of the S. P. Timoshenko Institute of Mechanics of the NASU since 1999.
Aleksander N. Guz
5. Problem 3. End-Crush Fracture of Composite Materials Under Compression
Abstract
In this chapter, in a very brief form (compared to Problem 1, Chapter 3, and Problem 2, Chapter 4 of this monograph), the main results are outlined on the problem shown in the title. They are obtained in the Department of Dynamics and Stability of Continua of the S. P. Timoshenko Institute of Mechanics of NASU. The presentation of these results is made in a style announced in the Introduction to this monograph (without involving aspects of a mathematical nature). Some results of experimental studies related to the formation of this problem are also given.
Aleksander N. Guz

Other Non-Classical Problems of Fracture Mechanics

Frontmatter
6. Problem 4. Brittle Fracture of Materials with Cracks Taking into Account the Action of Initial (Residual) Stresses Along Cracks
Abstract
This chapter, in a very brief form (in comparison with Problem 1 and Problem 2, which are discussed in Part II of this monograph in Chaps. 3 and 4, respectively), presents the main results on the considered Problem 4 which are obtained since 1980 in the Department of Dynamics and Stability of Continua of the S. P. Timoshenko Institute of Mechanics of the NASU.
Aleksander N. Guz
7. Problem 5. Brittle Fracture in the Form of Separation into the Slender Parts of Composite Materials Under Tension or Compression Along Reinforcing Elements
Abstract
In this chapter, in a very brief form (even in comparison with Problem 4, which was discussed in the previous chapter), the main results on the Problem 5 are presented, obtained on the themes of the Department of Dynamics and Stability of Continua of the S. P. Timoshenko Institute of Mechanics of the NASU since 1983. The presentation of these results is written in the style announced in the introduction (Part I) to this monograph (without excessively invoking aspects of a mathematical nature).
Aleksander N. Guz
8. Problem 6. Fracture Under Compression Along Parallel Cracks
Abstract
In this chapter, in a very brief form, the main results on Problem 6 are obtained on the themes of the Department of Dynamics and Stability of Continua of the S. P. Timoshenko Institute of Mechanics of the NASU since 1981. The presentation of these results is written in the style announced in the Introduction (Part I) to this monograph (without excessively invoking aspects of a mathematical nature).
Aleksander N. Guz
9. Problem 7. Brittle Fracture of Materials with Cracks Under Action of Dynamic Loads (with Allowance for Contact Interaction of the Crack Edges)
Abstract
In this chapter, in a very short form (in comparison with Problems 4–6, which have already been discussed in Part III of this monograph), the results on Problem 7 are presented, which were obtained in the Department of Dynamics and Stability of Continua of the S. P. Timoshenko Institute of Mechanics of the NASU. The presentation of these results is made in the style announced in the Introduction (Part I) to this monograph (without excessively invoking the aspects of a mathematical nature).
Aleksander N. Guz
10. Problem 8. Fracture of Thin-Wall Bodies with Cracks Under Tension in the Case of Preliminary Loss of Stability
Abstract
In this chapter, in a very short form (even in comparison with Problem 7, which has already been discussed in the considered Part III of this monograph), the results on Problem 8 are presented, which were obtained in the Department of Dynamics and Stability of Continua of the S. P. Timoshenko Institute of Mechanics of NASU.
Aleksander N. Guz
Backmatter
Metadata
Title
Eight Non-Classical Problems of Fracture Mechanics
Author
Prof. Dr. Aleksander N. Guz
Copyright Year
2022
Electronic ISBN
978-3-030-77501-8
Print ISBN
978-3-030-77500-1
DOI
https://doi.org/10.1007/978-3-030-77501-8

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