Material Modeling in Finite Element Analysis

Cover
Half Title
Title Page
Copyright Page
Contents
Preface
Author
1: Introduction
Part I: Metal
	2: Structure and Material Properties of Metal
		2.1 Structure of Metal
		2.2 Elasticity and Plasticity of Metal
		Reference
	3: Some Plastic Material Models of Metals and Definition of Their Parameters
		3.1 Introduction of Plasticity
		3.2 Isotropic Hardening Models and Definition of Material Parameters for 304 Stainless Steel
			3.2.1 Multilinear Isotropic Hardening (MISO)
			3.2.2 Voce Law Nonlinear Isotropic Hardening
		3.3 Nonlinear Kinematic Hardening
		3.4 Summary
		References
	4: Simulation of Metal Forming
		4.1 Introduction of Metal Forming
		4.2 Simulation of Forming of a Sheet
			4.2.1 Finite Element Model
			4.2.2 Material Properties
			4.2.3 Contact Definition
			4.2.4 Loadings and Boundary Conditions
			4.2.5 Solution Setting
			4.2.6 Results
			4.2.7 Summary
		References
	5: Simulation of Ratcheting
		5.1 Introduction of Ratcheting
		5.2 Simulation of Ratcheting in a Notched Bar
			5.2.1 Finite Element Model
			5.2.2 Material Properties
			5.2.3 Loadings and Boundary Conditions
			5.2.4 Results
			5.2.5 Summary
		References
	6: Influence of Temperature on Material Properties
		6.1 Temperature Dependency of Material Properties
		6.2 Simulation of Combustion Chamber under Different Temperatures
			6.2.1 Finite Element Model
			6.2.2 Material Properties
			6.2.3 Loadings and Boundary Conditions
			6.2.4 Results
			6.2.5 Discussion
			6.2.6 Summary
		References
	7: Simulation of Creep
		7.1 Introduction of Creep
			7.1.1 Creep
			7.1.2 Creep Constitutive Law
			7.1.3 Subroutine UserCreep
		7.2 Simulation of Creep of a Bolt under Pretension
			7.2.1 Finite Element Model
			7.2.2 Material Properties
			7.2.3 Loadings and Boundary Conditions
			7.2.4 Solution Setting
			7.2.5 Results
			7.2.6 Discussion
			7.2.7 Summary
		References
Part II: Polymers
	8: Structure and Features of Polymer
		8.1 Structure of Polymer
		8.2 Features of Polymer
		References
	9: Hyperelasticity
		9.1 Some Widely Used Hyperelastic Models
			9.1.1 Neo-Hookean Model
			9.1.2 Mooney–Rivlin Model
			9.1.3 Yeoh Model
			9.1.4 Polynomial Model
			9.1.5 Gent Model
			9.1.6 Ogden Model
			9.1.7 Arruda–Boyce Model
		9.2 Stability Discussion
		9.3 Curve-fitting of Material Parameters from Experimental Data
		9.4 Simulation of a Rubber Rod under Compression
			9.4.1 Finite Element Model
			9.4.2 Material Parameters
			9.4.3 Loadings and Boundary Conditions
			9.4.4 Results
			9.4.5 Discussion
			9.4.6 Summary
		9.5 Simulation of Breast Implant in ANSYS
			9.5.1 Finite Element Model
			9.5.2 Material Models
			9.5.3 Loading and Solution Setting
			9.5.4 Results
			9.5.5 Discussion
			9.5.6 Summary
		References
	10: Viscoelasticity of Polymers
		10.1 Viscoelasticity of Polymers
		10.2 Linear Viscoelastic Models
			10.2.1 Maxwell Model
			10.2.2 Kelvin–Voigt Model
			10.2.3 Burgers Model
			10.2.4 Generalized Maxwell Model
		10.3 Viscoplasticity Models
		10.4 Simulation of Viscoelasticity of Liver Soft Tissues
			10.4.1 Finite Element Model
			10.4.2 Material Properties
			10.4.3 Contact Definition
			10.4.4 Loadings and Boundary Conditions
			10.4.5 Results
			10.4.6 Discussion
			10.4.7 Summary
		References
	11: Mullins Effect
		11.1 Introduction of Mullins Effect
		11.2 Ogden–Roxburgh Mullins Effect Model
		11.3 Simulation of a Rubber Tire with the Mullins Effect
			11.3.1 Finite Element Model
			11.3.2 Material Properties
			11.3.3 Loadings and Boundary Conditions
			11.3.4 Results
			11.3.5 Discussion
			11.3.6 Summary
		References
	12: Usermat for Hyperelastic Materials
		12.1 Introduction of Subroutine UserHyper
		12.2 Simulation of Gent Hyperelasticity
			12.2.1 Subroutine UserHyper for Gent Material
			12.2.2 Validation
			12.2.3 Summary
		References
Part III: Soil
	13: Soil Introduction
		13.1 Soil Structure
		13.2 Soil Parameters
		References
	14: Cam Clay Model
		14.1 Introduction of Modified Cam Clay Model
		14.2 Cam Clay Model in ANSYS
			14.2.1 Elastic Component
			14.2.2 Plastic Component
		14.3 Simulation of a Tower on the Ground by Cam Clay Model
			14.3.1 Finite Element Model
			14.3.2 Material Properties
			14.3.3 Contact Definition
			14.3.4 Loadings and Boundary Conditions
			14.3.5 Results
			14.3.6 Discussion
			14.3.7 Summary
		References
	15: Drucker–Prager Model
		15.1 Introduction of Drucker–Prager Model
		15.2 Study of a Soil–Arch Interaction
			15.2.1 Finite Element Model
			15.2.2 Material Properties
			15.2.3 Boundary Conditions and Loadings
			15.2.4 Results
			15.2.5 Discussion
			15.2.6 Summary
		References
	16: Mohr–Coulomb Model
		16.1 Introduction of Mohr–Coulomb Model
		16.2 Mohr–Coulomb Model in ANSYS
		16.3 Study of Slope Stability
			16.3.1 Finite Element Model
			16.3.2 Material Properties
			16.3.3 Loadings and Boundary Conditions
			16.3.4 Results
			16.3.5 Discussion
			16.3.6 Summary
		References
	17: Jointed Rock Model
		17.1 Jointed Rock Model
		17.2 Definition of the Jointed Rock Model in ANSYS
			17.2.1 Defining the Base Material
			17.2.2 Defining the Joints
		17.3 Simulation of Tunnel Excavation
			17.3.1 Finite Element Model
			17.3.2 Material Properties
			17.3.3 Loadings and Boundary Conditions
			17.3.4 Solution
			17.3.5 Results
			17.3.6 Discussion
			17.3.7 Summary
		References
	18: Consolidation of Soils
		18.1 Consolidation of Soils
		18.2 Modeling Porous Media in ANSYS
		18.3 Simulation of Consolidation of Three-Well Zone
			18.3.1 Finite Element Model
			18.3.2 Material Properties
			18.3.3 Boundary Conditions and Loadings
			18.3.4 Solutions
			18.3.5 Results
			18.3.6 Discussion
			18.3.7 Summary
		References
Part IV: Modern Materials
	19: Composite Materials
		19.1 Introduction of Composite Materials
		19.2 Modeling Composite in ANSYS
			19.2.1 Modeling Composite by Command SECTYPE
			19.2.2 Modeling a Composite by Anisotropic Model
		19.3 Simulation of Composite Structure in Failure Test
			19.3.1 Finite Element Model
			19.3.2 Material Properties
			19.3.3 Boundary Conditions and Loadings
			19.3.4 Results
			19.3.5 Discussion
			19.3.6 Summary
		19.4 Simulation of Crack Growth in Single Leg Bending Problem
			19.4.1 Finite Element Model
			19.4.2 Properties
			19.4.3 Crack Definition
			19.4.4 Boundary Conditions and Loadings
			19.4.5 Results
			19.4.6 Discussion
			19.4.7 Summary
		References
	20: Functionally Graded Materials
		20.1 Introduction of Functionally Graded Materials
		20.2 Material Model of Functionally Graded Materials
		20.3 Simulation of a Spur Gear Fabricated Using Functionally Graded Materials
			20.3.1 Finite Element Model
			20.3.2 Properties
			20.3.3 Loadings and Boundary Conditions
			20.3.4 Results
			20.3.5 Discussion
			20.3.6 Summary
		References
	21: Shape Memory Alloys
		21.1 Structure of SMAs and Various Material Models
			21.1.1 Structure of SMAs
				21.1.1.1 Superelasticity
				21.1.1.2 Shape Memory Effect
			21.1.2 Various SMA Material Models
				21.1.2.1 SMA Model for Superelasticity
				21.1.2.2 SMA Model with Shape Memory Effect
			21.1.3 Definition of Material Parameters
				21.1.3.1 SMAs with Superelasticity
				21.1.3.2 SMAs with Shape Memory Effect
		21.2 Simulation of Orthodontic Wire
			21.2.1 Finite Element Model
			21.2.2 Material Properties
			21.2.3 Loadings and Boundary Conditions
			21.2.4 Results
			21.2.5 Discussion
			21.2.6 Summary
		21.3 Simulation of a Vacuum-Tight Shape Memory Flange
			21.3.1 Finite Element Model
			21.3.2 Material Properties
			21.3.3 Contact
			21.3.4 Loadings and Boundary Conditions
			21.3.5 Solutions
			21.3.6 Results
			21.3.7 Discussion
			21.3.8 Summary
		References
	22: Simulation of Piezoelectricity
		22.1 Introduction of Piezoelectricity
		22.2 Structures and Mechanical Behaviors of Piezoelectric Materials
		22.3 Constitutive Equation of Piezoelectricity
		22.4 Simulation of Piezoelectric Accelerometer
			22.4.1 Finite Element Model
			22.4.2 Material Properties
			22.4.3 Boundary Conditions and Loadings
			22.4.4 Results
			22.4.5 Discussion
			22.4.6 Summary
		References
	23: Nanomaterials
		23.1 Introduction of Nano
		23.2 Determination of Young’s Modulus of Fe Particles
			23.2.1 Experiment
			23.2.2 Finite Element Model
			23.2.3 Material Properties
			23.2.4 Boundary Conditions and Loadings
			23.2.5 Solution
			23.2.6 Results
			23.2.7 Discussion
			23.2.8 Summary
		References
Part V: Retrospective
	24: Retrospective
Appendix 1: Input File of Curve-Fitting of the Chaboche Model in Section 3.3
Appendix 2: Input File of the Forming Process Model in Section 4.2
Appendix 3: Input File of the Ratcheting Model in Section 5.2
Appendix 4: Input File of the Combustion Chamber Model in Section 6.2
Appendix 5: Input File of the Bolt Model under Pretension in Section 7.2
Appendix 6: Input File of Curve-Fitting of the Ogden Model in Section 9.3
Appendix 7: Input File of the Rubber Rod Model under Compression in Section 9.4
Appendix 8: Input File of the Liver Soft Tissue Model in Section 10.4
Appendix 9: Input File of the Rubber Tire Damage Model in Section 11.3
Appendix 10: Input File of UserHyper in Section 12.2
Appendix 11: Input File of the Tower Subsidence Model in Section 14.3
Appendix 12: Input File of the Soil–Arch Interaction Model in Section 15.2
Appendix 13: Input File of the Slope Stability Model in Section 16.3
Appendix 14: Input File of the Tunnel Excavation Model in Section 17.3
Appendix 15: Input File of the Settlement Model in Section 18.3
Appendix 16: Input File of the Composite Damage Model in Section 19.3
Appendix 17: Input File of the SLB Model in Section 19.4
Appendix 18: Input File of the Spur Gear Model with FGM in Section 20.3
Appendix 19: Input File of the Orthodontic Wire Model in Section 21.2
Appendix 20: Input File of the Vacuum Tight Shape Memory Flange Model in Section 21.3
Appendix 21: Input File of the Piezoelectric Microaccelerometer Model in Section 22.4
Appendix 22: Input File of the Contact Model in Section 23.2
Index