Пространственная задача математической теории пластичности. Радаев Ю.Н. - 460 стр.

UptoLike

ВУЗ: 

СГАУ | Самара

Составители: 

Рубрика: 

460 Contents
Contents
Preface to the third edition
Preface to the second edition
Preface
Introduction
Chapter 1. General Equations of the Mathematical Theory of Perfect Plasticity
for an Edge of the Tresca Prism
1.1. The Tresca yielding criterion
1.2. Invariant forms of the spatial equilibrium equations
1.3. Degenerate solutions of the three-dimensional equations for an edge
of the Tresca prism
1.4. Non-degenerate solutions of the three-dimensional equations for an edge
of the Tresca prism
1.5. Generalized associated flow rule for an edge of the Tresca prism
1.6. Kinematic equations of spatial flow for an edge of the Tresca prism
1.7. Kinematics of spatial perfectly plastic flow along a slip surface
1.8. Characteristics of the Levy–Mises equations
1.9. Formulation of boundary conditions
Chapter 2. ”Non-Associated” Constitutive Equations of Perfect Plasticity
Chapter 3. General Equations of the Mathematical Theory of Perfect Plasticity
for a Facet of the Tresca Prism
3.1. Statically undetermined states corresponding to a facet of the Tresca
prism. Closed sytem of static and kinematic equations
3.2. Equations in the form of ”total” increments
Chapter 4. Complex-Lamelar Non-Degenerate Spatial Stress Fields
Chapter 5. Stress Principal Lines Invariants for a Spatial Complex-Lamelar
Stress State
Chapter 6. Classes of Three-Dimensional Problems Attributed to Spatial Complex
Lamelar Stress Fields
Chapter 7. Canonical Co-ordinates of Three-Dimensional, Axially-Symmetric
and Plane Problems of Perfect Plasticity
7.1. Transformation of 2/3-isostatic co-ordinates to their canonical types
7.2. Canonical isostatic co-ordinates for a plane strain state
7.2. Canonical isostatic co-ordinates for an axially-symmetric state
Chapter 8. Three-Dimensional Equations of Perfect Plasticity in Triorthogonal
Isostatic Co-ordinate Net
8.1. The Cayley problem. The Cayley–Darboux equation
Пространственная задача математической теории пластичности, 3-е издание

Страницы