Singular Solutions in Plasticity [Paperback]

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.

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
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.

Presents an efficient method for predicting the evolution of material properties in narl³D