Naumenko K., Altenbach H. Modeling High Temperature Materials Behavior for Structural Analysis. Part I: Continuum Mechanics Foundations and Constitutive Models

Springer, 2016. – 381 p.– ISBN10: 3319316273This monograph presents approaches to characterize inelastic behavior of materials and structures at high temperature. Starting from experimental observations, it discusses basic features of inelastic phenomena including creep, plasticity, relaxation, low cycle and thermal fatigue.
The authors formulate constitutive equations to describe the inelastic response for the given states of stress and microstructure. They introduce evolution equations to capture hardening, recovery, softening, ageing and damage processes. Principles of continuum mechanics and thermodynamics are presented to provide a framework for the modeling materials behavior with the aim of structural analysis of high-temperature engineering components.Continuum Mechanics in One Dimension
Elementary Uni-axial Constitutive Models
Three-Dimensional Continuum Mechanics
Constitutive Models
Examples of Constitutive Equations for Various Materials
Appendixes
Basic Operations of Tensor Algebra
Elements of Tensor Analysis