Singular Solutions in Plasticity

ISBN-13: 9789811052262 / Angielski / Miękka / 2017 / 107 str.

Sergei Alexandrov

Opis

This book deals with singular solutions that appear in the vicinity of maximum friction surfaces for several rigid plastic models. In particular, it discusses precise asymptotic expansions as a necessary ingredient for the development of efficient numerical methods to solve boundary value problems that involve the maximum friction law as a boundary condition. An applied aspect of the singular solutions considered is that these solutions are capable of predicting the development of narrow hard layers near frictional interfaces in manufacturing processes.

Recenzje

"This monograph will serve as a useful fundamental or reference tools for the interested audience comprising practicing engineers, researchers and others working in the field of singular solutions in plasticity. The monograph is written in a lucid and concise manner. The value of the monograph is further enhanced by an extensive list of references and illustrative examples to exhibit the application of the numerical solution methodology to practical problems." (Vinod K. Arya, zbMATH 1492.74003, 2022)

Spis treści

1. Introduction
1.1. Definition of the subject.
1.2. Coordinate systems and fundamental equations
1.3. Material models
1.4. Maximum friction law
2. Rigid perfectly plastic material
2.1. Plane strain deformation
2.2. Axisymmetric deformation
2.3. Compression of a layer between rough plates
3. Rigid viscoplastic material
3.1. Plane strain deformation
3.2.Axisymmetric deformation
3.3. Compression of a layer between rough plates
4. Double shearing model
4.1. Plane strain deformation
4.2.Axisymmetric deformation
4.3. Compression of a layer between rough plates
5. Concluding Remarks