Structures Under Crash and Impact Continuum Mechanics, Discretization and Experimental Characterization 1st Edition by Stefan Hiermaier ISBN 9781441944795 by Stefan Hiermaier 0387738622 instant download after payment.

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ISBN 13: 9781441944795
Author: Stefan Hiermaier

Structures Under Crash and Impact: Continuum Mechanics, Discretization and Experimental Characterization examines the testing and modeling of materials and structures under dynamic loading conditions. Readers will find an in-depth analysis of the current mathematical modeling and simulation tools available for a variety of materials, in addition to both the benefits and limitations they pose in industrial design. The models discussed are also available in commercial codes such as LS-DYNA and AUTODYN. Following a logical and well organized structure, this volume uniquely combines experimental procedures with numerical simulation and features examples from issues taken directly from the automotive, aerospace, and defense industries. Materials scientists, structural and design engineers, and physicists with an interest in crash and impact situations will find Structures Under Crash and Impact a valuable reference.

Structures Under Crash and Impact Continuum Mechanics, Discretization and Experimental Characterization 1st Table of contents:

1. Thermo-Mechanical Basics
2. Kinematic Equations
3. Coordinates and Displacements in Reference Systems
4. Deformation Gradients and Displacement Gradients
5. Strain Measures
6. Material and Spatial Time Derivatives of Deformations
7. Strain Rate Tensors
8. Compatibility Conditions
9. Stress Measures
10. Cauchy Stresses
11. Alternative Stress Measures
12. Rate Dependent Stress Measures
13. Descriptions of Static Equilibrium
14. Direct Formulation of Equilibrium
15. Calculus of Variations
16. Equilibrium Formulated as Variational Problem
17. Conservation Equations
18. Four Ways of Describing Conservation
19. Conservation of Mass
20. Conservation of Momentum
21. Conservation of Energy
22. Compressed Formulation of the Conservation Equations
23. Variational Solutions of the Balance Equations
24. What are Weak Forms?
25. Weak Forms of the Equation of Motion
26. Hamilton's Principle of Least Action
27. Thermodynamic Basics
28. Energy Is Conserved - The First Law
29. Entropy Increases - The Second Law
30. Thermodynamic Potentials
31. Formulations of the Clausius-Duhem Inequality
32. Consequences for Constitutive Equations
33. Constitutive Equations
34. Equations of State
35. Axiomatic Equations of State
36. Empirical Equations of State
37. Constitutive Equations for Total Stresses
38. Cauchy Elasticity
39. General Elastic Anisotropy
40. Elasticity with Symmetry Planes
41. Green Elasticity - Hyperelastic Behavior
42. Some Examples of Hyperelastic Formulations
43. Constitutive Equations for Inelastic Deformations
44. Basic Terminology in Plasticity Theory
45. Selected Yield Criteria
46. Flow Rules
47. Strain Rate Dependent Yield Criteria
48. Plasticity Effects at Shock Compression States
49. Meso-Mechanical Calculation of Yield Loci
50. Polymers - Nonlinear Elasticity, Initial Plastic Softening, Visco-Plastic Hardening
51. Shock Waves and Related Equations of State
52. Elastic Wave Propagation in Solids
53. Wave Equation and Sound Speeds
54. Solution to the One-Dimensional Wave Equation
55. Shock Wave Formation
56. Shock Wave Propagation in Solids
57. Conditions for Shock Waves - Phenomenological Aspects
58. Shock Front Dimensions
59. Thermo-Mechanics of Shock Waves
60. Dispersion - Precondition for Shock Wave Evolution and Stability
61. Thermodynamic Conditions upon Shock Wave Transit
62. Riemann Problem and Rankine-Hugoniot Equations
63. Hugoniot Curves and vS-v1 Relations
64. Energy Dissipation upon Shock Wave Transition
65. Nonlinear Equations of State for Shock Waves
66. Grüneisen Theory for Crystalline Oscillators
67. Equations of State for High-Pressure and High-Energy Regimes
68. Nonlinear Equations of State for Anisotropic Materials
69. Discussion of Nonlinear Equations of State for Shock Waves
70. Summary of Shock Thermodynamics
71. Influence of Nonlinear EOS Formulations on the Calculated Sound Speed
72. Hydrocodes
73. Modelling of Dynamic Deformation Processes
74. Components of a Hydrocode
75. Marching Solutions in Time Steps
76. Classification of Partial Differential Equations
77. Discretization - The Basic Idea
78. Finite Difference Methods
79. Time Integration with Finite Difference Schemes
80. Explicit or Implicit Time Integration Schemes?
81. Finite Volume Method
82. Basic Concept of Finite Volume Methods
83. Finite Element Method
84. Solutions of the Euler-Lagrange Equation
85. Ritz Version of Finite Elements
86. Finite Elements for Dynamic Problems
87. Shape Functions
88. Stiffness Matrices, Mass Matrices and Numerical Solution
89. Shell Elements
90. Finite Element Methodologies for Discontinuities
91. Meshfree Methods
92. Motivation to Develop Meshfree Methods
93. Evolution and Maturing of Meshfree Methods
94. Smoothed Particle Hydrodynamics
95. Coupling and Adaptive Change of Discretizations
96. Meshfree - Finite Element Coupling
97. Coupling of Static and Dynamic Solvers
98. Shock Wave Simulation with Hydrocodes
99. Artificial Viscosity
100. Air Blast Effects on Structures
101. Failure Models for Dynamic Loading Conditions
102. Continuum Damage Mechanics
103. Effective Stress and Strain Equivalence Concepts
104. Degradation and Damage Accumulation Functions
105. Isotropic Failure Models
106. Maximum Stress or Strain Criteria
107. Gurson Micro-mechanical Model for Ductile Fracture
108. Phenomenological Stress Triaxiality Dependent Failure Models
109. Brittle Failure
110. Spallation Modelling
111. Failure Models for Composites
112. Analytical Models for Intra-Laminar Failure
113. Continuum Damage Based Intra-Laminar Failure Models
114. Delamination models
115. Discretization Aspects of Composite Failure
116. Aspects of Advanced Dynamic Material Testing
117. Objectivity of Material Parameter Derivation
118. Material Characterization in the Low Dynamic Regime
119. Uniaxial Tension to Failure with Optical Strain Measurement
120. Shear Failure Characterization
121. Material Tests at Moderate Dynamic Strain Rates
122. Hopkinson-Bar Facilities
123. Direct-Impact Test for Low-Impedance Materials
124. Material Characterization at Extreme Strain Rates
125. Taylor Anvil-Test
126. Flyer-Plate Experiments
127. Edge-On Impact Test

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Tags: Stefan Hiermaier, Structures, Crash