Plasticity and creep : theory, examples, and problems
著者
書誌事項
Plasticity and creep : theory, examples, and problems
CRC Press , Begell House, c1993
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注記
Includes bibliographical references (p. [511]-525) and indexes
内容説明・目次
内容説明
Plasticity and Creep is essentially written with the needs of the Applied Mechanics students and the Computational Mechanics students in mind. The book can also be used for general Mechanical Engineering and Civil Engineering programs.
Plasticity and Creep presents a comprehensive, up-to-date survey of the theoretical basis of structural plasticity and creep. The book also provides a systematic survey of solution methods for inelastic structural response, covering plastic hardening, viscoelasticity, viscoplasticity, creep, and creep rupture. Tables and diagrams of uniaxial and multiaxial inelastic material models and high-temperature material data are included for easy reference.
目次
BASIC DEFINITIONS
Stress and Strain State
Stress tensor
Strain tensor
Finite Deformations
Finite strain tensors in material or spatial coordinates
Strain rates tensors
Stress tensors in material or spatial descriptions
FOUNDATIONS OF PLASTICITY
Basic Equations of Perfect
Plasticity
Uniaxial stress-strain behavior
Criteria for yielding in perfect plasticity
Stress-strain relations for perfect plasticity
Methods of reduction of equations of perfect plasticity
Problems
Basic Equations of Plastic
Hardening
Drucker's postulate and the associated flow rule
Subsequent yield surfaces for hardening material
Theories of plastic hardening
Problems
Methods of the Theory of Plasticity
Analysis of the level of a
cross-section
Interaction curves on levels of a
cross-section or a body
Extremum theorems of limit
analysis: statically or kinematically admissible solutions
Shakedown analysis
Integration along characteristics in plane strain problems
Problems
SOLUTIONS OF ELASTIC-PLASTIC
PROBLEMS
Elastic-Plastic Torsion and Bending
Elastic-plastic torsion of prismatic bars
Problems
Elastic-plastic bending of prismatic beams and plane frames
Problems
Elastic-Plastic Analysis of
Cylinders, Disks, and Plates
Thick-walled tubes, spherical shells and disks
Problems
Limit analysis of Plates
Problems
FOUNDATIONS OF CREEP
Basic Equations of Uniaxial Creep Models
Creep phenomenon
Schematizations of creep at
constant uniaxial stress
Modelling of creep at varying uniaxial stress
Linear uniaxial viscoelastic models
Modelling of viscoplastic materials
Problems
Creep Constitutive Equations Under Multiaxial Loading
Classical multiaxial creep theories
Developed multiaxial creep theories
Linear multiaxial viscoelastic
equations
SOLUTION OF CREEP PROBLEMS
Bending, Buckling, and Torsion of Bars Under Creep Conditions
Bending and buckling of a prismatic bar made of the linear viscoelastic material
Bending of a prismatic beam made of the piece-wise linear elastic/viscoplastic material
Bending of a prismatic beam made of the time hardening material
Torsion of a circular bar made of the elastic-Bingham material
Problems
Rotationally Symmetric Creep
Problems
Creep of a thick-walled tube
General formulae for the rotationally-symmetric transient creep problems
CREEP RUPTURE
Constitutive Equations of Creep Rupture
Creep rupture phenomenon
Classical creep rupture theories
Problems
Rotationally Symmetric Creep
Rupture Problems
Mechanisms of brittle rupture of tubes and disks
Design of disks with respect to creep rupture
References
Author Index
Subject Index
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