Preface
References
Contents
List of Contributors
Chapter 1 Numerical and Experimental Analysis of Elastic Three-layer Plate Under Static and Low Velocity Impact Loading
1.1 Introduction
1.2 Description of Measurement System
1.3 Method and Results of Measurements Using Dial Gauges
1.4 Method and Results of Measurements Using Strain Gauges
1.5 Sensor Calibration Method and Numerical Analysis
1.6 Conclusions
References
Chapter 2 Reviewing Yield Criteria in Plasticity Theory
2.1 Introduction
2.2 Invariants of Stress Tensor
2.2.1 Axiatoric-Deviatoric Invariants
2.2.2 Normalized Functions of Invariants
2.2.3 Dimensionless Invariants
2.3 Formulation of and Assumptions in Yield Criteria
2.3.1 Formulation of Yield Criteria
2.3.2 Plausibility Assumptions
2.4 Designation and Comparison of Yield Criteria
2.4.1 Nomenclature of Yield Criteria
2.4.2 Shapes of Yield Criteria in ฯ-plane
2.4.3 Geometric Properties and Basic Experiments
2.4.4 Values for Comparison
2.5 Five Derivation Paths
2.5.1 Criteria in Shear Stress Space
2.5.2 Criteria as Power Functions
2.5.3 โ-Criteria
2.5.4 Polynomial Criteria
2.5.5 Criteria with Trigonometric Identity
2.6 Conclusion
References
Chapter 3 Minimum Test Effort-Based Derivation of Constant-Fatigue-Life Curves - Displayed for the Brittle UD Composite Materials
3.1 Introduction
3.1.1 Fatigue Design Verification (DV) Task with Terms
3.1.2 Fatigue Micro-Damage Drivers of Ductile and Brittle behaving Materials
3.1.3 Short State-of-the-Art Regarding Cyclic Strength of UD-Laminates
3.1.4 Constant Amplitude Loading and Variable Amplitude Loading
3.1.5 SN-curve, Load Spectrum and Fatigue-Driving Equivalent Stress
3.1.6 Proportional and Non-Proportional Loading and Mean Stress Sensitivity
3.2 Modeling of SN-Curves in the Three Fatigue Domains and Choice
3.2.1 Modeling of SN-Curves
3.2.2 Relation of the Material Stressing Effort E f f with the Micro-damage D
3.2.3 Statistical Properties in Design Verification (DV)
3.3 Failure-Mode-Concept (FMC) and Static Strength Failure Criteria (SFC)
3.3.1 Features of the Authorโs Failure-Mode-Concept
3.3.2 โGlobalโ and โModalโ SFCs
3.3.3 FMC-Based Failure Modes, SFCs and SFC-Visualization
3.3.4 Application of Static UD-SFCs to Determine Cyclic Micro-Damage Portions
3.4 FMC-Based Constant-Fatigue-Life Estimation Model for UD-PlyโComposed Laminates
3.4.1 Idea of an Automatic Establishment of Constant Fatigue Life Curves
3.4.2 SN Curves, Derived with Kawaiโs โModified Fatigue Strength Ratio ฮจศท
3.4.3 Derivation of Constant Fatigue Life Curves in the Transition Domain
3.5 Complete CFL-Curve Model Using the Decay Functions fd in the Haigh-Diagram
3.5.1 Derivation of the Full Procedure
3.5.2 CFL Curves, Applying the Mode Decay Functions fd in Various UD Haigh-Diagrams
3.5.3 Steps of the FMC-based Fatigue Life Estimation Procedure
3.6 Conclusions on the Elaborated Novel Ideas
References
Chapter 4 Experimental Evaluation and Phase-Field Model of Fracture Behavior of Alumina-Aluminium Graded Composite
4.1 Introduction
4.2 Experiment
4.2.1 Material Preparation
4.2.2 Fracture Tests
4.3 Phase-Field Modeling
4.3.1 Formulation
4.3.2 Sensitivity Analysis
4.3.3 Modeling Experiments
4.3.4 Effect of Stacking Sequence
4.3.5 Crack Branching
4.4 Conclusion and Future Work
References
Chapter 5 On the Potential of Machine Learning Assisted Tomography for Rapid Assessment of FRP Materials with Defects
5.1 Introduction
5.2 Strategy for Defect Assessment
5.2.1 Nondestructive Investigation
5.2.2 Image Preprocessing
5.2.3 Integrity Criterion
5.2.4 Assessment Using a Deep Artificial Neural Network
5.3 Reference Material
5.4 Artificial Neural Network Training Data Base
5.5 Example
5.5.1 Experimental investigation
5.5.2 Integrity Assessment and Discussion
5.6 Conclusions
References
Chapter 6 On the Semi-Analytical Modelling of the Free-Edge Stress Field in Cross-Ply Laminated Shells Under Mechanical Loads
6.1 Introduction
6.2 Structural Situation
6.3 Theoretical Formulation
6.3.1 Closed-Form Analytical Solutions
6.3.2 Layerwise Approach
6.3.3 Semi-Analytical Solution
6.4 Results and Discussion
6.4.1 Verification of Accuracy for Cross-Ply Laminated Shells Undergoing Uniform Edge Loads
6.4.2 Verification of accuracy for cross-ply laminated shells undergoing sinusoidal outer perssure
6.5 Concluding Remarks
Appendix A
A.1 Stress Function Approaches
A.2 Global Interpolation Vector
A.3 Abbreviations
A.4 Coefficient Matrices
References
Chapter 7 Experimental Quantification of Barrier Effects for Microstructural Short Fatigue Crack Propagation in Martensitic Steel
7.1 Introduction
7.2 Material
7.3 Experiments and Methods
7.4 Results and Discussion
7.5 Summary and Conclusion
References
Chapter 8 On the Difficulty to Implement the Coupled Criterion to Predict Failure in Tempered Glass
8.1 Introduction
8.2 Annealed Glass Specimen Under Bending
8.3 Tempered Glass Specimen Under Bending
8.4 The Hypothetical Case of a Critical Defect in the Bulk of a Thermally Tempered Glass Specimen Under Tension
8.5 Comparison with a Bending Test on Notched Zirconia Specimens
8.6 Discussion and Conclusions
References
Chapter 9 Extended Reduced Bending Stiffness Method for Shear Deformable Laminated Plates
9.1 Introduction
9.2 Basic Equations of Third-Order Shear Deformation Theory (TSDT)
9.3 Reduced Bending Stiffness Method
9.4 Navier Solution
9.5 Results and Discussion
9.5.1 Antisymmetric Cross-Ply Plates
9.5.2 Antisymmetric Angle-Ply Plates
9.6 Conclusion
References
Chapter 10 How Mechanically Inspired Design Rules Help in the Topology Optimization of Structures with Highly Nonlinear Behavior
10.1 Introduction
10.2 Principal Design Rules for Lightweight Design
10.3 Special Features in the Development of Crash Structures
10.4 Design Rules for Crash Structures and Their Algorithms for use in the Automatic Structure Optimization Process
10.4.1 Principle Approach
10.4.2 Basic heuristics
10.4.3 Special Heuristics for Laterally Loaded Profiles
10.4.4 Special Heuristics when Using Composite Material in Laterally Loaded Profiles
10.4.5 Special Heuristics for Axially Loaded Profiles
10.4.6 Special Heuristics for Frame Structures in the Three-Dimensional Space
10.5 The Procedure of the Graph and Heuristic Based Topology Optimization (GHT)
10.5.1 Basic Idea of the Method
10.5.2 Essential Modules of the Fully Automatic Process
10.6 Collection of Published Application Examples
10.6.1 Metal Profile Structure with a Lateral Load Case
10.6.2 Composite Multi-Chamber Profile Structure with Lateral Load Cases
10.6.3 Profile Structure with Axial Load Cases
10.6.4 Three-Dimensional Frame Structure
10.7 Conclusion
References
Chapter 11 Phase Field Modeling of Cracks in Ice
11.1 Introduction
11.2 Theory
11.2.1 Non-Linear Strain Theory for Viscoelastic Material
11.2.2 The Phase Field Model of Fracture
11.2.3 Numerics
11.2.4 Scenarios, Setup and Spin-ups
11.3 Results
11.3.1 Crack Evolution and Strain for Ice Rises Within the Ice Shelf
11.3.2 Crack Evolution and Strain for Floating Tongue
11.4 Released Energy Estimate Based on Observations
11.5 Discussion
11.6 Conclusions and Future Direction
References