Plasticity of cold worked metals : a deductive approach / A. Paglietti.

CONTENT

Chapter 1 Introduction
1.1 Some basic preliminaries
1.2 General framework for constitutive equations of rate independent plasticity
1.3 Convexity of the yield surface and the possible lack of it in the elastic subranges
1.4 The role of the subsequent yield surfaces in the solution of elastic plastic boundary value problems

Chapter 2 Logical premises of subsequent yielding
2.1 Distinguishing between material matrix and microscopic defects
2.2 Geometrical and physical consequences
2.3 Entrapped energy and permanent elastic strain

Chapter 3 plastic yielding under Deviatoric energy control
3.1 Von Mises elastic plastic material
3.2 Elastic energy of Von Mises materials
3.3 Symbolic expression of the subsequent yield surfaces of von mises materials

Chapter 4 geometric representation of strain and strain energy
4.1 Principal notation for systematic second order tensors
4.2 Two geometric interpretations of the principal notation
4.3 Scalar valued functions of strain
4.4 Isotropic scalar valued functions of strain
4.5 Special isotropic functions
etc.

Chapter 5 The elastic energy of the matrix
5.1 Determining the elastic energy stored in the matrix
5.2 The reduced elastic energy of the matrix
5.3 Alternative expressions
5.4 Deviatoric component of the matrix strain energy
5.5 taking total strain as an elastic strain measure

Chapter 6 Subsequent yield surfaces of von Mises materials
6.1 The family of all sequent yield surfaces
6.2 Q cross sections of the sequent yield surface
6.3 Yield surfaces in practice
6.4 Subsequent limit curves for standard tension/torsion tests

Chapter 7 The work hardening rule
7.1 The variables that that control work hardening in von mises materials
7.2 An evolution rule for e
7.3 Drag and reduction factors in practice
7.4 Remarks on the experimental determination of y
7.5 The experimental determination of r
etc.

Chapter 8 Flat bars and thin walled tubes after uniaxial plastic straining
8.1 Different motions during the same test
8.2 Reason for the lack of symmetry in shear of the local yield curves following uniaxial prestraining
8.3 Overall response
8.4 Materials that are not stable in Drucker's sense
8.5 The case of thick specimens

Chapter 9 theory versus experiment
9.1 Phillips and Lu's tension/torsion tests on pure aluminium
9.2 Numerical calculations based on the experimental data of Philips and Lu
9.3 Evaluating r and y
9.4 Accuracy of the theoretical predictions
9.5 Phillips and Tang's tests
etc.

References : p. 169 - 170 . _ Index : p. 171 - 173