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Akhtar S. Khan

Continuum Theory of Plasticity

€ 190.95

In the half century that has passed since the publication of Rodney Hills’s classic text, The Mathematical Theory of Plasticity, the entire field of plasticity has undergone phenomenal growth. Yet, despite this development, there has been little change in the basic books on the subject, especially in the finite plastic deformation regime. To meet the need for a truly up to date introduction, Akhtar S. Khan and Sujian Huang have written Continuum Theory of Plasticity. In contrast to older texts, this book provides a continuum mechanics approach to understanding and predicting the behavior of solids undergoing plastic deformation. It incorporates all the new developments of recent years and offers a lucid presentation of the essential classical contributions. The first chapter covers important elementary concepts of plasticity, including the phenomenological macroscopic nature of metals, idealizations of macroscopic plastic behavior, large and small deformations, and macroscopic and microscopic phenomena during plastic deformation. The authors then provide the continuum mechanics background necessary for understanding the more recent research by clearly presenting relevant materials on tensors, the conservation of mass, momentum, and energy, the laws of thermodynamics, the Clausius Duhem inequality, and the principle of material objectivity. Classical theory of plasticity is thoroughly treated in chapters four and five with coverage of stress and strain, yield criteria, the Levy Mises and Prandtl Reuss equations, hardening, and deformation. Recent developments in plasticity are explored in discussions of the Mroz Multisurface model, the Dafalias and Popov Two Surface model, the non linear kinematic hardening model, the endochronic theory of plasticity, and many topics in finite deformation plasticity theory and strain space formulation for plastic deformation. In the final chapters, the authors introduce the reader to the fundamentals of the micromechanics of plastic deformation and the analytical coupling between deformation of individual crystals and macroscopic material response of the polycrystal aggregate. Continuum Theory of Plasticity will give graduate students and researchers in engineering mechanics and mechanical, civil and aerospace engineering a broad and uniquely modern introduction to plasticity.


Taal / Language : English

Inhoudsopgave:
Preface ix
Introduction
1(14)
Phenomenological Macroscopic Nature of Metals
2(7)
Idealizations of Macroscopic Plastic Behavior
9(2)
Small and Large Deformations
11(1)
Microscopic Phenomena during Plastic Deformation
12(3)
References
13(2)
Strain and Stress
15(45)
Configurations and Displacement
15(5)
Deformation Gradient and Deformation of Line, Area, and Volume Elements
20(4)
Measures of Finite Deformations
24(5)
Decomposition of Deformation Gradient and Principal Stretches
29(1)
Velocity, Acceleration, and Material Derivatives
30(2)
Velocity Gradient and the Material Derivatives of the Line, Area, and Volume Elements
32(3)
Deformation Rate and Spin Tensors
35(4)
Material Derivatives of the Strain Tensors
39(2)
Forces, Surface Traction, and Cauchy Stress Tensor
41(3)
Alternative Stress Measures
44(2)
Examples
46(14)
References
59(1)
General Principles
60(22)
Conservation of Mass
61(3)
Conservation of Momentum
64(3)
Conservation of Moment of Momentum
67(2)
Conservation of Energy: The First Law of Thermodynamics
69(3)
Clausius-Duhem Inequality: The Second Law of Thermodynamics
72(4)
Principle of Material Objectivity or Frame Indifference
76(6)
References
81(1)
Yield Criteria
82(37)
Stress State and Stress Space
83(9)
Yield Surface
92(2)
Yield Criteria for Metals
94(10)
Yield Criteria for Pressure-Sensitive Materials
104(5)
Subsequent Yield Surface
109(10)
References
117(2)
Classical Theory of Plasticity
119(62)
Basic Considerations of Plasticity Theory
119(9)
Stress-Strain Relations for Elastic Deformation
128(4)
Volume Change and Poisson`s Ratio for Plastic Deformation
132(3)
Levy-Mises Equations
135(3)
Prandtl-Reuss Equations
138(4)
Plastic Potential Theory and Plastic Work
142(4)
Drucker`s Stability Postulate and Its Consequences
146(10)
Isotropic Hardening
156(4)
Kinematic Hardening
160(4)
General Stress-Strain Relations for Plastic Deformation
164(13)
Deformation Theory of Plasticity
177(4)
References
179(2)
Recent Developments in Plasticity
181(58)
Observations during Cyclic Loading of Metals
183(6)
Mroz`s Multisurface Model
189(14)
Dafalias and Popov`s Two-Surface Model
203(11)
Nonlinear Kinematic Hardening Model
214(8)
Endochronic Theory of Plasticity
222(17)
References
237(2)
Finite Plastic Deformation
239(39)
Basic Considerations
239(6)
Kinematics of Finite Plastic Deformation
245(5)
Hypoelasticity and Simple Shear
250(4)
Plasticity Theory for Finite Deformation
254(5)
Plastic Spin
259(2)
Corotational Integration of Deformation Rate
261(2)
Endochronic Theory for Finite Deformation
263(6)
Simple Shear
269(9)
References
276(2)
Strain Space Formulations for Plastic Deformation
278(32)
One-Dimensional Loading Case
281(4)
Plasticity Postulate and Its Implications
285(4)
Yield Surface in Strain Space
289(2)
Constitutive Laws in Strain Space
291(3)
Perfect Plasticity and Loading Criterion in Strain Space
294(4)
Finite Plasticity in Strain Space
298(12)
References
309(1)
Introduction to Dislocation Theory
310(33)
Crystalline Structure of Metals
311(7)
Theoretical Strength of Single Crystals
318(2)
Edge and Screw Dislocations
320(6)
Properties of Dislocations
326(17)
References
341(2)
Plastic Deformation of Single Crystals
343(36)
Elementary Considerations
344(9)
Kinematics of Single-Crystal Deformation
353(7)
Elastic-Plastic Constitutive Equations for Single Crystals
360(5)
Hardening Rules for Single Crystals
365(7)
Rigid Plasticity; Uniaxial Tension
372(7)
References
377(2)
Polycrystal Plasticity Theory
379(38)
Determination of Slip Systems
381(9)
Taylor`s Rigid Plastic Model for Polycrystals
390(5)
Eshelby`s Solution for Ellipsoidal Inclusion
395(3)
Kroner, Budiansky, and Wu`s Model
398(4)
Modification of Kroner, Budiansky, and Wu`s Model
402(3)
Hill`s Self-consistent Model
405(3)
Calculated Results of Self-consistent Models
408(9)
References
415(2)
Index 417
Extra informatie: 
Hardback
440 pagina's
Januari 1995
776 gram
238 x 166 x 31 mm
John Wiley & Sons us

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