Cyclic Plasticity of Engineering Materials

Experiments and Models

Guozheng Kang, Qianhua Kan

• Publisher: Wiley
• Year: 2017
• Print ISBN:
  9781119180807
• Edition: 1
• eBook ISBN:
  9781119180814
• Topic: Technology & Engineering
• Subtopic: Mechanical Engineering
• Index: Technology & Engineering

New contributions to the cyclic plasticity of engineering materials

Written by leading experts in the field, this book provides an authoritative and comprehensive introduction to cyclic plasticity of metals, polymers, composites and shape memory alloys. Each chapter is devoted to fundamentals of cyclic plasticity or to one of the major classes of materials, thereby providing a wide coverage of the field.

The book deals with experimental observations on metals, composites, polymers and shape memory alloys, and the corresponding cyclic plasticity models for metals, polymers, particle reinforced metal matrix composites and shape memory alloys. Also, the thermo-mechanical coupled cyclic plasticity models are discussed for metals and shape memory alloys.

Key features:

• Provides a comprehensive introduction to cyclic plasticity
• Presents Macroscopic and microscopic observations on the ratchetting of different materials
• Establishes cyclic plasticity constitutive models for different materials.
• Analysis of cyclic plasticity in engineering structures.

This book is an important reference for students, practicing engineers and researchers who study cyclic plasticity in the areas of mechanical, civil, nuclear, and aerospace engineering as well as materials science.

1
Fundamentals of Inelastic Constitutive Models

Since cyclic plasticity is very complicated, some fundamentals involved in the construction of corresponding constitutive models should be realized by the abecedarian readers at first. Therefore, some fundamentals of inelastic constitutive models are introduced in this chapter, which include the fundamentals of continuum mechanics, a brief introduction of classical elastoplastic and elasto‐viscoplastic constitutive models, outlines of crystal plasticity, and an introduction of micromechanics for heterogeneous materials. These models and approaches will be used in the subsequent chapters for discussing and describing the cyclic plasticity of ordinary metallic materials, high‐performance polymers, particle‐reinforced metal matrix composites, and shape‐memory alloys.

1.1 Fundamentals of Continuum Mechanics

In the discussion of constitutive model, the notations of displacement, deformation, strain, and stress fields in the framework of infinitesimal and finite deformation are necessary. Also, thermodynamics and its requirements on the established constitutive models should be illustrated before the practical constitutive model is constructed. So, such fundamentals of continuum mechanics are outlined in the following subsections by referring to some textbooks of continuum mechanics, for example, Gurtin et al. (2010), Dimitrienko (2012), and so on, and the details can be referred to the mentioned textbooks.

1.1.1 Kinematics

Consider a movement and deformation of continua body caused by the external loads, as shown in Figure 1.1, in a three‐dimensional Cartesian coordinate; the change of space point x in the current configuration can be expressed as a function χ of the corresponding material point X defined in the reference configuration, that is,

(1.1)

Figure 1.1 Movement of a continua body.

From the deformation of the continua body expressed by Equation (1.1), a second‐ordered deformation gradient tensor F can be defined as

(1.2)

According to the polar decomposition theorem, the deformation gradie...

Table of contents

• Cover
• Title Page
• Table of Contents
• Introduction
• 1 Fundamentals of Inelastic Constitutive Models
• 2 Cyclic Plasticity of Metals
• 3 Cyclic Plasticity of Metals
• 4 Thermomechanically Coupled Cyclic Plasticity of Metallic Materials at Finite Strain
• 5 Cyclic Viscoelasticity–Viscoplasticity of Polymers
• 6 Cyclic Plasticity of Particle‐Reinforced Metal Matrix Composites
• 7 Thermomechanical Cyclic Deformation of Shape‐Memory Alloys
• Index
• End User License Agreement