Plasticity and Textures - Hardcover

Gambin, W.

Hardcover

ISBN 10: 1402002122 ISBN 13: 9781402002120

Publisher: Springer, 2001

Synopsis

The classical, phenomenological theory of plastically anisotropic materials has passed a long way: from the work of von Mises presented in 1928, and the HilI formulation given in 1948, to the latest papers on large elastic-plastic deformations of anisotropic metal sheets. A characteristic feature of this approach is a linear flow rule and a quadratic yield criterion. Mathematical simplicity of the theory is a reason of its numerous applications to the analysis of engineering structures during the onset of plastic deformations. However, such an approach is not sufficient for description of the metal forming processes, when a metal element undergoes very large plastic strains. If we take an initially isotropic piece of metal, it becomes plastically anisotropic during the forming process, and the induced anisotropy progressively increases. This fact strongly determines directions of plastic flow, and it leads to an unexpected strain localization in sheet elements. To explain the above, it is necessary to take into account a polycrystalline structure of the metal, plastic slips on slip systems of grains, crystallographic lattice rotations, and at last, a formation of textures and their evolution during the whole deformation process. In short, it is necessary to introduce the plasticity of crystals and polycrystals. The polycrystal analysis shows that, when the advanced plastic strains take place, some privileged crystallographic directions, called a crystallographic texture, occur in the material. The texture formation and evolution are a primary reason for the induced plastic anisotropy in pure metals.

About this title

Synopsis

This book unifies, for the first time in book form, the main concepts of the physical and mathematical theory of plasticity. It presents the foundations of modern anisotropic plasticity, which link microscopic observations of texture formation with macroscopic properties of plastically anisotropic materials. Progress in metal-forming technologies has created the necessity to express the plastic yield process in terms of mathematics in order to apply computer methods.In addition, new materials used in structural elements require a more detailed description of their physical structure. Amongst both metallurgists and mechanical designers, a strong tendency exists to formulate the scientific material in a common language. This book meets this request, although it has no ambitions to summarise the existing state of knowledge, only to combine the mathematical and physical approaches. The book is mainly addressed to mechanical designers. It is written for researchers who have a knowledge of physics and who want a mathematical tool for using this knowledge for a better description of technological processes.Moreover, it will interest metallurgists who want to have a more general view of their field of research, as well as for mechanical and civil engineers who want to apply some microstructural knowledge in their work.

It could also be useful for graduate students at post-doctorate level who want to enter the field of plastic deformation of polycrystalline metals with texture.

Edition details

• Publisher: Springer
• Publication date: 2001
• Language: English
• ISBN 10: 1402002122
• ISBN 13: 9781402002120
• Binding: Hardcover
• Number of pages: 257