Creep: Fatigue Models of Composites and Nanocomposites

Cover
Title Page
Copyright Page
Preface
Table of Contents
Nomenclature
1. Introduction and Assumptions
	1.1 Introduction
	1.2 Fatigue curve and endurance limit
	1.3 Creep-fatigue process under cyclically changing strain
	1.4 The concept of effective stresses
	1.5 Use of scalar internal variable to quantify damage
	1.6 The scalar measure of damage
	1.7 Strength as endurance limit of composites and nanocomposites
	1.8 Continuous damage accumulation model
	1.9 Damage accumulation function for composites
	1.10 Paris’ Law and Miner’s Rule
	1.11 The Bergman-Milton theory
	1.12 Failure criteria
	1.13 The Bergman-Milton theory
	1.14 Failure criteria
	1.15 Principle of stress equivalence
	1.16 Standard linear model
	1.16a Standard Linear Model with different viscosity – temperature relationships
	1.17 Temperature effect on viscosity
	1.18 Viscosity of dispersed systems
2. Cumulative Damage Model (CDM) of Cyclic Creep-Fatigue Process
	2.1 Introduction
	2.2 The concept of effective stress
	2.3 Classification of composite materials
	2.4 Objectives of this research
	2.5 Cyclic loading types
	2.6 Creep-fatigue constitutive model with cumulative damage law
	2.7 Proposed constitutive model of the creep-fatigue process
	2.8 Analytical formulas for S – N fatigue curves
3. Phenomenological Creep-Fatigue Models
	3.1 Introduction
	3.2 Effect of temperature – time relationships on creep-fatigue behavior of composites
	3.3 Effect of chemical energy on cyclic creep-fatigue process
		3.3.1 Chemical kinetic effect on nanocomposites creep-fatigue process
	3.4 Nanocomposite material under cyclic creep-fatigue conditions
	3.5 Viscosity change effect at high temperature
	3.6 Analytical expression of crystallization function f3
	3.7 Effect of increase in frequency ‘p’
4. Peculiarities of Phenomenological Models of Nanocomposites
	4.1 Introduction
	4.2 The concept of effective stresses
	4.3 Creep-fatigue behavior of nanocomposites
	4.4 Defining the damaged medium mechanics
5. Probabilistic Approach to Creep-Fatigue Models
	5.1 Introduction
	5.2 Creep-fatigue process under periodic loads
	5.3 Continuum damage mechanics and durability of composites
	5.4 Damage function ω and decrease of cross section area
	5.5 “Forward” and “Reversed” probabilistic problem
	5.6 Phenomenological models of creep-fatigue of composites
	5.7 Failure criteria
		5.7.1 Maximum stress theory
		5.7.2 Haskin’s failure theory
	5.8 Specifics of constitutive equation of creep-fatigue of composites
	5.9 Effect of high temperature on fatigue curves (S – Nf)
	5.10 Examples
	5.11 Probabilistic approach for creep-fatigue model of composites
		5.11.1 Main assumptions
		5.11.2 Continuum damage and temperature effects on the probabilisticapproach
Conclusions
Index