Testing and Modeling of Cellular Materials

Cover
Half Title
Title Page
Copyright Page
Table of Contents
List of Figures
Preface
Authors
Acronyms
Chapter 1 Introduction
	1.1 Overview
	1.2 Research Objectives
		1.2.1 Research Objective 1: Characterize Quasi-Static Material Properties of Cellular Designs
		1.2.2 Research Objective 2: Characterize Dynamic Material Properties of Cellular Designs
		1.2.3 Research Objective 3: Develop Computational Model and Impact Simulation
		1.2.4 Research Objective 4: Evaluate Inclusion of Cellular Structures on Impact Results
	1.3 Background
		1.3.1 Cellular Structures
			1.3.1.1 Terminology
			1.3.1.2 Classification
			1.3.1.3 Mechanical Properties
			1.3.1.4 Triply Periodic Minimal Surface (TPMS)
		1.3.2 Manufacturing Methods
			1.3.2.1 Additive Manufacturing Methods
		1.3.3 Impact Modeling and Simulation
			1.3.3.1 Discrete Element Method
			1.3.3.2 Finite Element Method
		1.4 Organization of Subsequent Chapters
	References
Chapter 2 Background Theory
	2.1 Finite Element Method
		2.1.1 Finite Element Method Theory
		2.1.2 Smoothed Particle Hydrodynamics
		2.1.3 Shock Waves and Equation of State
			2.1.3.1 Shock Waves
			2.1.3.2 Equation of State
	2.2 Damage Modeling
		2.2.1 Johnson–Cook Failure Model
		2.2.2 Holmquist–Johnson–Cook Failure Model
	2.3 Constitutive Models
		2.3.1 Constitutive Compression Response Models
			2.3.1.1 Rusch Model
			2.3.1.2 Gibson Modified Model
	References
Chapter 3 Experimental Methodology
	3.1 Introduction
	3.2 Mechanical Testing
		3.2.1 Test Specimen Fabrication
		3.2.2 Compression Test
			3.2.2.1 Test Equipment
			3.2.2.2 Test Procedures
			3.2.2.3 Data Reduction
		3.2.3 Taylor Impact Test
			3.2.3.1 Test Equipment
			3.2.3.2 Test Procedures
			3.2.3.3 Data Reduction
		3.2.4 Split Hopkinson Pressure Bar Test Results
			3.2.4.1 Test Equipment
			3.2.4.2 Test Procedures
	3.3 Computation Methods
		3.3.1 Johnson–Cook Damage Model Parameters
		3.3.2 Impact Model and Analysis
			3.3.2.1 Projectile
			3.3.2.2 Target
			3.3.2.3 Model Assembly
	3.4 Topology Optimization
		3.4.1 Optimization Overview
		3.4.2 Multiscale Model
		3.4.3 Topology Optimization Methods
			3.4.3.1 Bi-directional Evolutionary Structural Optimization
			3.4.3.2 Solid Isotropic Material and Penalization Method
	References
Chapter 4 Uniaxial Compression of Lattices
	4.1 Uniaxial Compression of Cylinders
	4.2 Uniaxial Compression of Cubes
	References
Chapter 5 Mechanical Properties of Lattices and Design Variations
	5.1 Microstructural Assessment
	5.2 Mechanical Properties of As-Built Lattices
	5.3 Deformation Behavior
	References
Chapter 6 Split Hopkinson Pressure Bar Test Results
	6.1 Quasi-Static Mechanical Properties of Triply Periodic Minimal Surface Lattices
	6.2 Dynamic Mechanical Properties of Triply Periodic Minimal Surface Lattices
	6.3 Plasticity Model Parameters
	References
Chapter 7 Strain Rate–Sensitive Constitutive Model for Lattice Structure
	7.1 Legacy Material Models
		7.1.1 Quasi-Static Response Models
		7.1.2 Dynamic Response Models
	7.2 Proposed Flow Stress Model
		7.2.1 Model Development
		7.2.2 Determination of Model Parameters
	7.3 Results and Discussion
		7.3.1 Quasi-Static Comparison
		7.3.2 Dynamics Comparison
	References
Chapter 8 Lattice Damage Model
	8.1 Damage Model Parameter Determination
	8.2 Damage Model Validation
	References
Chapter 9 Computational Modeling Techniques and Results
	9.1 Computational Impact Model
	9.2 Full Lagrangian Models
	9.3 Mixed Smoothed Particle Hydrodynamics–Lagrangian Model
	9.4 Further Comparison of Models
	References
Chapter 10 Projectile Impact Results
	10.1 Experimental Projectile Impact
	10.2 Computational Projectile Impact
	10.3 Comparison of Experimental and Computational Results
	Reference
Chapter 11 Conclusions
	11.1 Summary of Conclusions
	References
Appendix A TPMS Lattice Structure Generation Code, MATLAB
Index