Superplastic Flow - Phenomenology and Mechanics

Superplasticity is the ability of polycrystalline materials under certain conditions to exhibit extreme tensile elongation in a nearly homogeneous/isotropic manner. Historically, this phenomenon was discovered and systematically studied by metallurgists and physicists. They, along with practising engineers, used materials in the superplastic state for materials forming applications. Metallurgists concluded that they had the necessary information on superplasticity and so theoretical studies focussed mostly on understanding the physical and metallurgi cal properties of superplastic materials. Practical applications, in contrast, were led by empirical approaches, rules of thumb and creative design. It has become clear that mathematical models of superplastic deformation as well as analyses for metal working processes that exploit the superplastic state are not adequate. A systematic approach based on the methods of mechanics of solids is likely to prove useful in improving the situation. The present book aims at the following. 1. Outline briefly the techniques of mechanics of solids, particularly as it applies to strain rate sensitive materials. 2. Assess the present level of investigations on the mechanical behaviour of superplastics. 3. Formulate the main issues and challenges in mechanics ofsuperplasticity. 4. Analyse the mathematical models/constitutive equations for superplastic flow from the viewpoint of mechanics. 5. Review the models of superplastic metal working processes. 6. Indicate with examples new results that may be obtained using the methods of mechanics of solids.

List of contents

1 Phenomenology of Superplastic Flow.- 1.1 Historical.- 1.2 Mechanical Behaviour of Superplastics.- 1.3 Strain Rate Sensitivity of Superplastic Flow.- 1.4 Superplasticity from the Point of View of Mechanics.- 2 Mechanics of Solids.- 2.1 The Subject.- 2.2. Basic Concepts.- 2.3 General Laws and Boundary Value Problems.- 2.4 Mathematical Models of Materials.- 2.5 Experiments in Mechanics.- 3 Constitutive Equations for Superplastics.- 3.1 Basic Requirements of Constitutive Equations.- 3.2 Phenomenological Constitutive Equations.- 3.3 Physical Constitutive Equations.- 3.4 Construction of Constitutive Equations.- 3.5. Constitutive Equations in Tensor Form.- 3.6 Material Constants from Technological Tests.- 4 Boundary Value Problems in Theory of Superplastic Metalworking.- 4.1 General Formulation of the Boundary Value Problem for Metalworking Processes.- 4.2 Model Boundary Value Problems in Mechanics of Superplasticity.- 4.3 Numerical Solving of Boundary Value Problems in Superplasticity.- 5 Mathematical Modelling of Superplastic Metalworking Processes.- 5.1 Modelling of Superplastic Bulk Forming Processes.- 5.2 Modelling of Sheet Metal Processes.- 5.3 Deformation Processing of Materials.- 6 Problems and Perspectives.- 6.1. Influence of Strain History on Evolution of Structure.- 6.2. Constitutive Equations Including Structural Parameters.- 6.3. The Concept of Database 'TMT-Structure-Properties'.- 6.4. Challenges in Mechanics of Superplasticity.- Appendix A: Finite Strain Kinematics of Solids.- A.1 Basic Concepts.- A.2 Theory of Deformations.- A.2.1 Strain Tensors.- A.2.2 Geometrical Sense of Strain Tensor Components.- A.2.3 Method of Determining the Principal Components of a Strain Tensor.- A.2.4 Volumetric and Deviatoric Parts of Strain Tensors.- A.3 Strain RateTensor.- A.3.1 Covariant Components of Strain Tensor.- A.3.2 Distortion and Spin Tensors.- A.3.3 Strain Rate Tensor Invariants.- A.3.4 Volumetric and Deviatoric Parts of the Strain Rate Tensor.- A.3.5 On Some Scalar Characteristics of a Deformed State.- Appendix B: Kinematics of Some Simple Deformation Modes.- B.1 Tension/Compression of a Cylindrical Rod.- B.2 Simple Shear.- B.3 Pure Shear.- B.4 Bulging of a Sphere.- B.5 Finite Strain Kinematics under Combined Loading of a Cylindrical Rod by Axial Force and Torque.- Appendix C: On Dimensional Analysis.- C.1 Basic Concepts.- C.2 Viscous Flow.- C.3 Non-Newtonian Flow.- C.4 Superplastic Flow.- C.5 Dimensionless Parameters for the Boundary Value Problem of Superplasticity.- C.6 Physical Modelling of Superplastics.- Appendix D: Group Properties of Thermoviscoplasticity.- D.1 About Single-Parameter Groups of Transforms.- D.2 Applications of Group Methods in Superplasticity.- References.

Summary

Superplasticity is the ability of polycrystalline materials under certain conditions to exhibit extreme tensile elongation in a nearly homogeneous/isotropic manner. Historically, this phenomenon was discovered and systematically studied by metallurgists and physicists. They, along with practising engineers, used materials in the superplastic state for materials forming applications. Metallurgists concluded that they had the necessary information on superplasticity and so theoretical studies focussed mostly on understanding the physical and metallurgi cal properties of superplastic materials. Practical applications, in contrast, were led by empirical approaches, rules of thumb and creative design. It has become clear that mathematical models of superplastic deformation as well as analyses for metal working processes that exploit the superplastic state are not adequate. A systematic approach based on the methods of mechanics of solids is likely to prove useful in improving the situation. The present book aims at the following. 1. Outline briefly the techniques of mechanics of solids, particularly as it applies to strain rate sensitive materials. 2. Assess the present level of investigations on the mechanical behaviour of superplastics. 3. Formulate the main issues and challenges in mechanics ofsuperplasticity. 4. Analyse the mathematical models/constitutive equations for superplastic flow from the viewpoint of mechanics. 5. Review the models of superplastic metal working processes. 6. Indicate with examples new results that may be obtained using the methods of mechanics of solids.

Additional text

From the reviews:

"The book under review … is another book in the same direction to unify the two approaches to studying mechanical behaviour of materials but with a focus on the specific area of superplastic flow and forming. … There are four Appendices totaling to 60 pages … . These … greatly enhance the usefulness of the book. The book is a welcome addition to the literature on superplasticity and is a must-read to all those who want to study, understand, research and engineer superplastic flow." (Placid Rodriguez, Transactions of the Indian Institute of Metals, April, 2003)
"The book under review develops in a systematic manner, the linkages between phenomenology and mechanics. … the authors discuss the various constitutive equations available for superplastic flow and boundary-value problems with superplastic forming. … the book contains four appendices that provide useful background information … . In summary, the book is well produced, with good quality figures and equations, and it is likely to be useful for practising technologists and also at a post-graduate level in teaching/research programmes … ." (Atul H. Chokshi, Current Science, Vol. 84 (4), 2003)
"The aim of this monograph is … establishing the mechanics of superplasticity as a discipline in its own right. … a rather comprehensive overview is given on the multitude of superplastics material models available, particularly focusing on technological applications, which clearly certifies the authors’ competence in the field. The strength of the book is the compilation of numerous important references (621 explicitly cited) … . There is a lot to learn from this book." (Dr. Eva Gregorová, Materials World, Vol. 10 (4), 2002)

Report

From the reviews:

"The book under review ... is another book in the same direction to unify the two approaches to studying mechanical behaviour of materials but with a focus on the specific area of superplastic flow and forming. ... There are four Appendices totaling to 60 pages ... . These ... greatly enhance the usefulness of the book. The book is a welcome addition to the literature on superplasticity and is a must-read to all those who want to study, understand, research and engineer superplastic flow." (Placid Rodriguez, Transactions of the Indian Institute of Metals, April, 2003)
"The book under review develops in a systematic manner, the linkages between phenomenology and mechanics. ... the authors discuss the various constitutive equations available for superplastic flow and boundary-value problems with superplastic forming. ... the book contains four appendices that provide useful background information ... . In summary, the book is well produced, with good quality figures and equations, and it is likely to be useful for practising technologists and also at a post-graduate level in teaching/research programmes ... ." (Atul H. Chokshi, Current Science, Vol. 84 (4), 2003)
"The aim of this monograph is ... establishing the mechanics of superplasticity as a discipline in its own right. ... a rather comprehensive overview is given on the multitude of superplastics material models available, particularly focusing on technological applications, which clearly certifies the authors' competence in the field. The strength of the book is the compilation of numerous important references (621 explicitly cited) ... . There is a lot to learn from this book." (Dr. Eva Gregorová, Materials World, Vol. 10 (4), 2002)

Product details

• Authors: F U Enikeev, F. U. Enikeev, F.U. Enikeev, K Padmanabhan, K A Padmanabhan, K. A. Padmanabhan, K. Anantha Padmanabhan, K.A. Padmanabhan, R Vasin, R A Vasin, R. A. Vasin, R.A. Vasin
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 14.10.2010
• EAN: 9783642087400
• ISBN: 978-3-642-08740-0
• No. of pages: 363
• Dimensions: 156 mm x 20 mm x 234 mm
• Weight: 587 g
• Illustrations: XIX, 363 p. 17 illus.
• Series: Engineering Materials; Engineering Materials
• Subjects: Natural sciences, medicine, IT, technology > Technology > Mechanical engineering, production engineering; C, engineering, Civil Engineering, Metals technology / metallurgy, Solid Mechanics, Theoretical and Applied Mechanics, Manufactures, Mechanics, Metals, Metallic Materials, Metals and Alloys, Mechanics of solids, Mechanics, Applied, Manufacturing, Machines, Tools, Processes, Production engineering, Machines, Tools, Processes, Materials;Mechanics;Werkstoff;Werkstoffe;deformation;metal