Negahban The Mechanical and Thermodynamical Theory of Plasticity

1. Auflage 2012
ISBN: 978-1-4665-6321-6
Verlag: Taylor & Francis
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 784 Seiten

Born out of 15 years of courses and lectures on continuum mechanics, nonlinear mechanics, continuum thermodynamics, viscoelasticity, plasticity, crystal plasticity, and thermodynamic plasticity, The Mechanical and Thermodynamical Theory of Plasticity represents one of the most extensive and in-depth treatises on the mechanical and thermodynamical aspects of plastic and visicoplastic flow. Suitable for student readers and experts alike, it offers a clear and comprehensive presentation of multi-dimensional continuum thermodynamics to both aid in initial understanding and introduce and explore advanced topics.
Covering a wide range of foundational subjects and presenting unique insights into the unification of disparate theories and practices, this book offers an extensive number of problems, figures, and examples to help the reader grasp the subject from many levels. Starting from one-dimensional axial motion in bars, the book builds a clear understanding of mechanics and continuum thermodynamics during plastic flow. This approach makes it accessible and applicable for a varied audience, including students and experts from engineering mechanics, mechanical engineering, civil engineering, and materials science.

Zielgruppe

Undergraduate and graduate students in civil and mechanical engineering and professionals involved with plasticity models and applications.

Autoren/Hrsg.

Negahban, Mehrdad

Fachgebiete

• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Technische Thermodynamik
• Technische Wissenschaften Bauingenieurwesen Konstruktiver Ingenieurbau, Baustatik
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Elastizität, Plastizität, Rheologie

Inhaltsverzeichnis

Plasticity In The 1-D Bar
Introduction to Plastic Response
The Bar and The Continuum Assumption
Motion and Temperature of Points on a Bar
Stretch Ratio, Strain, Velocity Gradient, Temperature Gradient
Superposition of Deformations
Elastic, Plastic, and Thermal Strains
Examples of Constitutive Models
Mechanical Theory of Rate-Independent Plasticity
Mechanical Models for Plasticity
Temperature-Dependent Plasticity
An Infinitesimal Theory of Thermoplasticity
Rate-Dependent Models for Plasticity
Load Control as Opposed to Strain Control
Numerical Integration of Constitutive Equations
The Balance Laws
Thermodynamic Restrictions on Constitutive Equations
Heat Generation and Flow
Equilibrium and Quasi-Equilibrium Problems
Dynamic Loading Problems: Numerical Solution
Dealing with Discontinuities: Jump Conditions
Plastic Drawing of Bars
Elastic and Plastic (Shock) Waves in a Bar
General Comment on Selection of Moduli
Notation and Summary

Vectors and Tensors
Matrix algebra
Vectors
Tensors
Tensor calculus
Notation

Describing Motion, Deformation and Temperature
Position, Velocity, Acceleration And Temperature
Configurations of Material Bodies
Streamlines and Pathlines
Deformation Gradient and Temperature Gradient
Stretch and Strain Tensors
Velocity Gradient
Relative Deformation
Triaxial Extension, Simple Shear, Bending and Torsion
Small Deformations
Notation

Elastic, Plastic And Thermal Deformation
Elastic and Plastic Deformation Gradients
Elastic and Plastic Strains
Elastic and Plastic Velocity Gradients
Infinitesimal Elastic and Plastic Deformations
Large Rigid Body Rotations
Thermal Deformation and Thermal Strain
Notation

Traction, Stress and Heat Flux
The Traction Vector
The Relation between Tractions on Different Surfaces
The Stress Tensor
Isotropic Invariants and the Deviatoric Stress
Examples of Elementary States of Stres