Material Modeling and Structural Mechanics (Advanced Structured Materials, 161)

✍ Scribed by Holm Altenbach (editor), Michael Beitelschmidt (editor), Markus Kästner (editor), Konstantin Naumenko (editor), Thomas Wallmersperger (editor)

• Publisher: Springer
• Year: 2022
• Tongue: English
• Leaves: 357
• Edition: 1st ed. 2022
• Category: Library

✦ Synopsis

This book presents various questions of continuum mechanical modeling in the context of experimental and numerical methods, in particular, multi-field problems that go beyond the standard models of continuum mechanics. In addition, it discusses dynamic problems and practical solutions in the field of numerical methods. It focuses on continuum mechanics, which is often overlooked in the traditional division of mechanics into statics, strength of materials and kinetics. The book is dedicated to Prof. Volker Ulbricht, who passed away on April 9, 2021.

✦ Table of Contents

Preface
Contents
List of Contributors
Chapter 1 The Use of the Homogenization Method in the Analysis of Anisotropic Creep in Metal-matrix Composites
1.1 Introduction
1.2 Homogenization Method for Determining the Properties of Composite Materials
1.3 Creep Theory of Initially Orthotropic Materials
1.4 Method for Determining the Average Creep Properties of Fiber Composites
1.5 Micromechanical Creep Analysis of Unidirectional Composite
1.6 Conclusions
References
Chapter 2 General Forms of Limit Surface: Application for Isotropic Materials
2.1 Introduction
2.2 Geometric Properties of Criteria
2.2.1 Requirements for Yield and Strength Criteria
2.2.2 Formulation of Yield and Strength Criteria
2.2.3 Pressure-sensitive Extension of Yield Criteria
2.3 Designation and Comparison of Yield Criteria
2.3.1 Nomenclature of Yield Criteria
2.3.2 Comparison of Yield Criteria
2.3.3 Shapes of Yield Criteria in the π-plane
2.3.4 Extreme Yield Figures
2.3.5 Geometric Properties and Basic Experiments
2.4 Yield and Strength Criteria
2.4.1 Recommended Yield and Strength Criteria
2.4.2 PODGÓRSKI-type Shape Functions
2.4.3 Inductive Derivation of Criteria
2.4.4 Modified YU Strength Theory
2.5 Criterion with Shape Variation in π-plane
2.6 Summary
2.7 Appendix
2.7.1 Invariants of Stress Tensor
2.7.2 Scalar Functions of Invariants
2.7.3 Modified Invariants
2.7.4 Particular Points on Limit Surface
2.7.5 Values for Comparison
2.7.6 Modified Normal Stress Hypothesis
2.7.7 Series of Invariants
2.7.8 Plausibility Assumptions
References
Chapter 3 Model Order Reduction: The Bridge Between Structural Mechanics and System Simulation
3.1 Introduction
3.2 Multi-body Simulation Including Elastic Bodies
3.3 Methods of Model Order Reduction
3.4 Quality Assurance of the Model Order Reduction
3.5 Example for Model Order Reduction
3.6 Summary
References
Chapter 4 Identification of Temperature Dependent Material Properties in Composite Plates Utilizing Experimental Vibration Data
4.1 Introduction
4.2 Theory
4.2.1 Plate Theory
4.2.2 Numerical Methods
4.2.3 Operational Modal Analysis
4.2.4 Optimization Strategy
4.3 Measurements and Simulations
4.3.1 Measurement Setup
4.3.2 Test Sample
4.3.3 Numerical Model
4.4 Results
4.4.1 Experimental Results and Analysis
4.4.2 Identified Elastic Properties
4.5 Conclusion
4.6 Appendix
4.6.1 Mode Shapes of OMA
4.6.2 ANSYS Simulated Mode Shapes
References
Chapter 5 Unilateral Constraints and Multibody Dynamics
5.1 Introduction
5.2 Concepts of Dynamics
5.2.1 Bilateral Dynamics
5.2.2 Unilateral Dynamics
5.3 Impacts with Friction
5.3.1 General Theory
5.3.2 Energy Considerations
5.4 Contact Kinematics
5.4.1 Plane Contact Kinematics
5.4.2 Spatial Contact Kinematics
5.5 Numerical Aspects
5.6 Applications
5.6.1 Woodpecker, a Non-smooth Toy
5.6.2 Vibration Conveyor
5.6.3 Roller Coaster
5.6.4 Drop Tower Hydraulics
5.6.5 CVT Power Transmission
5.7 Conclusion
References
Chapter 6 Influence of Thermal Stabilisation on the Thermal Regime in the Strapdown Inertial Navigation System
6.1 Introduction
6.2 Description of the Model and Physical Process
6.3 Mathematical Framework and Solution Method
6.4 Results
6.5 Conclusions
References
Chapter 7 Experimental-numerical Analysis of Microstructure-property Linkages for Additively Manufactured Materials
7.1 Introduction
7.2 Methods
7.2.1 Experimental Characterisation of Microstructure and Defect Population
7.2.2 Numerical Characterisation of Microstructure and Defect Population, and Reconstruction
7.2.3 Microstructure Properties and Ranking
7.2.4 Grain Structure Characterisation
7.3 Results
7.3.1 Pore Microstructure-property Linkage
7.3.2 Grain Microstructure-property Linkage
7.4 Conclusions
References
Chapter 8 Multisurface Theory of Plasticity with one Active Surface: Basic Relations, Experimental Validation and Microstructural Motivation
8.1 Introduction
8.2 Conditions of Reversing
8.3 Constitutive Equations
8.4 Experimental Analysis
8.4.1 Test Results for Nickel Specimens
8.4.2 Test Results for Steel Specimens
8.5 Comparison of the Multisurface Model and the Microstructural Model Predictions
8.6 Numerical Implementation of the Constitutive Equations of the Multisurface Theory with one Active Surface
8.7 Finite-element Simulations
8.8 Conclusions
References
Chapter 9 A Damage Model for Corrosion Fatigue due to Hydrogen Embrittlement
9.1 Introduction
9.2 Model Description
9.2.1 Hydrogen Formation, Adsorption, and Absorption
9.2.2 Damage Analysis
9.3 Numerical Results and Discussions
9.3.1 Hydrogen Adsorption and Absorption
9.3.2 Parameters of Damage Model
9.3.3 Influences of Frequency on the Fatigue Life
9.3.4 Influences of Stress Ratio
9.4 Conclusions
9.5 Appendix
References
Chapter 10 A Thermodynamics-BasedWear Model and its Application with the Finite Element Analysis
10.1 Introduction
10.2 Wear Equation Based on a Thermodynamics Approach
10.3 Application with the Finite Element Analysis
10.3.1 Time Discretization
10.3.2 Contact Iteration
10.4 The Wear Simulation of Timing Chains
10.4.1 Experimental Investigations
10.4.2 Description of the Finite Element Model
10.4.3 Determining an Extrapolation Factor for the Wear Simulation
10.5 Summary
References
Chapter 11 Discrete Description of Crack Kinematics in Regularized Free Discontinuities of Crack Faces
11.1 Introduction
11.2 Representative Crack Elements
11.2.1 Structure and Notation
11.2.2 Kinematic Coupling
11.3 Regularization of the Free Discontinuity Problem
11.3.1 Governing Equations
11.3.2 Stress and Consistent Tangent
11.4 Numerical Applications
11.4.1 Self-consistent Test
11.4.2
A Single Edge Notch Plate (SENP) at Shear Load
11.4.3 Structural Fracture at Finite Strain
11.4.4 Cohesive Failure Modeling
11.4.5 Contact Friction Modeling
11.5 Conclusions
References
Chapter 12 Applications of Viscoplasticity and Damage Models, the Thermomechanical Consistency and the Prospect of a Microstructural Representation
12.1 Introduction
12.2 Experimental and Numerical Investigation of Temperature-dependent Mechanical Behaviour of 3D Printed Polyamide 12
12.2.1 Experimental Analysis
12.2.2 Microanalysis
12.2.3 Numerical Analysis
12.2.4 Results
12.3 Thermomechanical Approach
12.3.1 Analytical Formulation in the Framework of Continuum Thermomechanics
12.3.2 Experimental Approach
12.3.3 Results and Discussion
12.4 Numerical Models Based on CT Data
12.5 Summary
References