Modeling high temperature materials behavior for structural analysis.
[Book]
Konstantin Naumenko, Holm Altenbach.
Part II,dollar5Solution procedures and structural analysis examples /
Cham, Switzerland :
Springer,
[2019]
1 online resource (224 pages)
Advanced Structured Materials ;
volume 112
Includes bibliographical references and index.
Intro; Preface; References; Contents; About the Authors; 1 Bars and Bar Systems; 1.1 Governing Equations for Two-bar System; 1.2 Thermo-elasticity with Temperature Changes; 1.3 Linear Viscous Behavior; 1.3.1 Displacement-controlled Loading Paths; 1.3.2 Force-controlled Loading Paths; 1.3.3 Time-step Methods; 1.3.3.1 Explicit Euler Method; 1.3.3.2 Implicit Euler Method; 1.3.3.3 Trapezoidal Rule; 1.3.3.4 Reviewing the Solutions; 1.4 Non-linear Inelastic Behavior; 1.4.1 Constitutive Equations; 1.4.1.1 Stress Functions for Creep and Relaxation; 1.4.1.2 Power Law Breakdown and Monotonic Loading
1.4.2 Governing Equations for Two-bar System1.4.3 Creep and Stress Redistribution; 1.4.4 Creep Followed by Recovery; 1.4.5 Stress Relaxation; 1.4.6 Displacement-controlled Monotonic and Cyclic Loadings; 1.4.7 Time-Step Methods; 1.4.7.1 Explicit Euler Method; 1.4.7.2 Implicit Euler Method; 2 Initial-Boundary Value Problems and Solution Procedures; 2.1 Governing Equations for Structural Analysis; 2.1.1 Preliminary Remarks and Assumptions; 2.1.2 Summary of Governing Equations; 2.1.3 Steady-State Creep and Elastic Analogy; 2.1.4 Matrix Representation; 2.2 Numerical Solution Techniques
2.2.1 Time-Step Methods2.2.1.1 Explicit Methods; 2.2.1.2 Implicit Methods; 2.2.2 Solution of Boundary Value Problems; 2.2.3 Variational Formulations and Procedures; 2.3 Temporal Scale Procedures; 2.3.1 Inelastic Behavior with Temporal Scale Effects; 2.3.2 Temporal Scale Approaches; 2.3.3 Two-Time-Scales and Time Averaging Procedures; 2.3.4 Analysis of Cyclic Creep; 2.3.4.1 Constitutive Equations; 2.3.4.2 Constitutive Equations for Slow Process; 2.3.4.3 Examples; 3 Beams; 3.1 Classical Beam Theory; 3.1.1 Governing Equations; 3.1.2 Variational Formulation and the Ritz Method
3.1.3 Closed-Form Solutions for Steady-State Creep3.1.3.1 Pure Bending with Norton-Bailey Creep Law; 3.1.3.2 Pure Bending with Stress Regime Dependence; 3.1.3.3 Bending Under Lateral Load; 3.1.4 Solutions by Ritz Method; 3.1.4.1 Norton-Bailey Creep Law; 3.1.4.2 Kachanov-Rabotnov Creep-Damage Law; 3.1.5 Solutions by Finite Element Method; 3.1.5.1 Norton-Bailey Creep Law; 3.1.5.2 Kachanov-Rabotnov Creep-Damage Law; 3.2 Stress State Effects and Cross Section Assumptions; 3.3 First Order Shear Deformation Theory; 4 Plane Stress and Plane Strain Problems; 4.1 Governing Equations
4.1.1 Assumptions and Preliminaries4.1.2 Kinematical Equations; 4.1.3 Equilibrium Conditions; 4.1.4 Constitutive Equations; 4.2 Pressurized Thick Cylinder; 4.2.1 Governing Equations for Steady-State Flow; 4.2.2 Solution with Norton-Bailey Creep law; 4.2.3 Solution with Stress Regime Dependent Creep law; 4.2.4 Finite Element Solution; 4.3 Rotating Components; 4.3.1 Rotating Rod; 4.3.2 Rotating Disc; 4.4 Plate with a Circular Hole; 4.4.1 Plane Stress Solutions; 4.4.2 Plane Strain Solutions; 5 Plates and Shells; 5.1 Approaches to the Analysis of Plates and Shells
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This second part of the work on creep modeling offers readers essential guidance on practical computational simulation and analysis. Drawing on constitutive equations for creep in structural materials under multi-axial stress states, it applies these equations, which are developed in detail in part 1 of the work, to a diverse range of examples.
Modeling High Temperature Materials Behavior for Structural Analysis : Part II. Solution Procedures and Structural Analysis Examples.
9783030203801
Solution procedures and structural analysis examples