Superplastic Flow

Phenomenology and Mechanics
2001
ISBN: 978-3-540-67842-7
Verlag: Springer Berlin Heidelberg

Buch, Englisch, 363 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 1590 g

Reihe: Engineering Materials

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.

Zielgruppe

Research

Autoren/Hrsg.

Padmanabhan, K. A.

Enikeev, F. U.

Vasin, R.A.

Fachgebiete

• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Materialwissenschaft: Verbundwerkstoffe
• Naturwissenschaften Physik Mechanik Klassische Mechanik, Newtonsche Mechanik
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Produktionstechnik Werkzeugbau
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Werkstoffprüfung
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Kontinuumsmechanik

Inhaltsverzeichnis

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.