Authors |
|
ix | |
|
1 Initial boundary value problem |
|
|
1 | (24) |
|
1.1 Newton's Second Law--Strong Form of Elastodynamics |
|
|
1 | (2) |
|
1.2 D'Alembert Principle--Weak Form of Equations of Motion |
|
|
3 | (2) |
|
1.3 Hamilton's Principle--Energy Conservation |
|
|
5 | (1) |
|
1.4 Modal Superposition Method |
|
|
6 | (5) |
|
|
8 | (1) |
|
1.4.2 Nonproportional Damping and Fast Computation Methods |
|
|
9 | (2) |
|
1.5 Time-Integration Schemes |
|
|
11 | (8) |
|
1.5.1 Central Problem of Dynamics (Time Evolution) |
|
|
12 | (1) |
|
1.5.2 Central Difference (Explicit) Scheme |
|
|
12 | (3) |
|
1.5.3 Trapezoidal Rule or Average Acceleration (Implicit) Scheme |
|
|
15 | (4) |
|
1.6 Motivation for Developments Presented in Part I and Part II |
|
|
19 | (1) |
|
1.6.1 Damping Model Characterization |
|
|
19 | (1) |
|
1.6.2 Extreme Loading Representation |
|
|
20 | (1) |
|
|
20 | (5) |
|
|
|
|
25 | (40) |
|
2.1 Essential Ingredients of Plasticity Model |
|
|
25 | (6) |
|
2.1.1 ID Plasticity with Hardening and Softening |
|
|
25 | (6) |
|
2.2 Localized Failure Plasticity Model |
|
|
31 | (3) |
|
2.3 Structural Plasticity Model |
|
|
34 | (14) |
|
|
34 | (2) |
|
2.3.1.1 Numerical Examples of Small Experiments |
|
|
36 | (1) |
|
2.3.2 Multi-Scale Model Parameters Identification |
|
|
37 | (3) |
|
2.3.2.1 Beam Element With Embedded Discontinuity |
|
|
40 | (8) |
|
2.4 Computation of Beam Plasticity Material Parameters |
|
|
48 | (14) |
|
2.4.1 Numerical Examples of Frames and Frame Elements |
|
|
51 | (1) |
|
2.4.1.1 Example 1 -- Computation of Beam Plasticity Material Parameters |
|
|
51 | (4) |
|
2.4.1.2 Example 2 -- Push-Over of an Asymmetric Frame |
|
|
55 | (2) |
|
2.4.1.3 Example 3 -- The Darvall-Mendis Frame |
|
|
57 | (1) |
|
2.4.1.4 Example 4 -- Push-Over Analysis of a Symmetric Frame |
|
|
58 | (2) |
|
2.4.1.5 Example 5 -- Cyclic Loading of a Steel Structure |
|
|
60 | (2) |
|
|
62 | (1) |
|
|
62 | (3) |
|
3 Reinforced concrete structures |
|
|
65 | (46) |
|
3.1 Concrete Modeling with a Damage Model |
|
|
66 | (5) |
|
3.1.1 A Numerical Example of Small Experiments |
|
|
71 | (1) |
|
|
71 | (3) |
|
3.3 Steel Model with Classical Elastoplasticity |
|
|
74 | (1) |
|
3.4 Reinforced Concrete Model |
|
|
75 | (13) |
|
3.4.1 Kinematics of Bond-Slip Along Reinforcement Bar and its X-FEM Representation |
|
|
76 | (2) |
|
3.4.2 Solution Procedure for Relative Displacements of Bond-Slip Element |
|
|
78 | (3) |
|
|
81 | (1) |
|
3.4.3.1 Traction Test and Proposed RC Model Validation |
|
|
81 | (3) |
|
3.4.3.2 Four-Point Bending Test and Crack-Spacing Computations |
|
|
84 | (4) |
|
3.5 Reinforced Concrete Model for Cyclic Loading |
|
|
88 | (20) |
|
3.5.1 Constitutive Concrete Model |
|
|
89 | (1) |
|
3.5.1.1 Thermodynamics with Internal Variables (TIV) |
|
|
89 | (2) |
|
3.5.1.2 Governing Equations of the Constitutive Model |
|
|
91 | (4) |
|
3.5.1.3 Euler-Lagrange Equations of a Concrete ID Structure in Dynamic Loading |
|
|
95 | (3) |
|
|
98 | (1) |
|
3.5.2.1 Identification of a Concrete Law |
|
|
98 | (4) |
|
3.5.3 Numerical Examples Seismic Application |
|
|
102 | (6) |
|
|
108 | (3) |
|
|
111 | (20) |
|
4.1 Computational Modeling of Masonry Structures |
|
|
112 | (1) |
|
4.2 Micro-Modeling of Masonry |
|
|
113 | (1) |
|
4.3 Strain Localization Phenomena |
|
|
114 | (11) |
|
4.3.1 Modeling of In-Plane and Out-Of-Plane Loading on a Brick Wall |
|
|
115 | (1) |
|
4.3.1.1 Modeling of Failure Mechanisms in Bricks |
|
|
115 | (2) |
|
4.3.1.2 Modeling of Mortar Joints in a Brick Wall |
|
|
117 | (5) |
|
|
122 | (1) |
|
|
122 | (2) |
|
|
124 | (1) |
|
|
125 | (1) |
|
|
126 | (5) |
|
|
|
5 Dynamics extreme loads in earthquake engineering |
|
|
131 | (14) |
|
5.1 The Free-Field vs. Added Motion Approach in Structure-Foundation Interaction |
|
|
132 | (4) |
|
5.2 Localized Nonlinearities in Structure-Foundation Interface |
|
|
136 | (2) |
|
5.3 Reduction of Model: Numerical Techniques |
|
|
138 | (2) |
|
5.4 Case Studies of Structure-Foundation Interaction Problems |
|
|
140 | (5) |
|
|
143 | (2) |
|
6 The dynamics of extreme impact loads in an airplane crash |
|
|
145 | (20) |
|
6.1 Central Difference Scheme Computation of Impact Problems |
|
|
147 | (4) |
|
6.2 Local Model Extensions |
|
|
151 | (1) |
|
6.3 Field Transfer Strategy for Complex Structure Impact Loading |
|
|
152 | (2) |
|
6.4 Field Transfer in Space and Projection to Coarse Mesh |
|
|
154 | (3) |
|
6.5 Field Transfer in Time and Minimization Problem for Optimal Transfer Procedure |
|
|
157 | (2) |
|
|
159 | (4) |
|
6.6.1 Example 1--Element Level |
|
|
159 | (2) |
|
6.6.2 Example 2 -- Structure Level |
|
|
161 | (2) |
|
|
163 | (2) |
|
7 Fire-induced extreme loads |
|
|
165 | (50) |
|
7.1 Transient Heat Transfer Computations |
|
|
166 | (1) |
|
7.2 Damage Mechanisms Representation Under Increased Temperature |
|
|
167 | (3) |
|
7.3 Coupled Thermomechanical Problem Computations |
|
|
170 | (1) |
|
7.4 Operator Split Solution Procedure with Variable Time Steps |
|
|
171 | (1) |
|
|
172 | (7) |
|
7.5.1 Example 1 -- Circular Ring Heating |
|
|
172 | (2) |
|
7.5.2 Example 2 -- Cellular Structures |
|
|
174 | (1) |
|
7.5.3 Example 3 -- Hollow Brick Wall |
|
|
175 | (4) |
|
7.6 Detailed Theoretical Formulation of Localized Thermomechanical Coupling Problem |
|
|
179 | (8) |
|
7.6.1 Continuum Thermo-Plastic Model and its Balance Equation |
|
|
180 | (3) |
|
7.6.2 Thermodynamics Model for Localized Failure and Modified Balance Equation |
|
|
183 | (1) |
|
7.6.2.1 Thermodynamics Model |
|
|
183 | (3) |
|
7.6.2.2 Mechanical Balance Equation |
|
|
186 | (1) |
|
7.6.2.3 Local Balance of Energy at the Localized Failure Point |
|
|
186 | (1) |
|
7.7 Embedded Discontinuity Finite Element Method (ED-FEM) Implementation |
|
|
187 | (8) |
|
|
187 | (1) |
|
7.7.2 "Adiabatic" Operator Split Solution Procedure |
|
|
187 | (1) |
|
7.7.3 ED-FEM Implementation for the Mechanical Part |
|
|
188 | (4) |
|
7.7.4 ED-FEM Implementation for the Thermal Part |
|
|
192 | (3) |
|
|
195 | (17) |
|
7.8.1 Example 1 -- Simple Tension Imposed Temperature Example with a Fixed Mesh |
|
|
195 | (1) |
|
7.8.1.1 Material Properties Independent on Temperature |
|
|
195 | (2) |
|
7.8.1.2 Material Properties are L inearly Dependent on Temperature |
|
|
197 | (3) |
|
7.8.1.3 Material Properties Non-Linearly Dependent on Temperature (Eurocode 1993-1-2) |
|
|
200 | (6) |
|
7.8.2 Model Generalization to a 2D/3D Case: Formulation, Implementation and Numerical Results |
|
|
206 | (1) |
|
7.8.2.1 Theoretical Formulation |
|
|
206 | (6) |
|
|
212 | (3) |
|
8 Fluid-induced extreme loads |
|
|
215 | (19) |
|
8.1 Structure and Fluid Formulations |
|
|
215 | (6) |
|
8.1.1 Structure Equation of Motion |
|
|
215 | (3) |
|
|
218 | (3) |
|
8.2 Fluid-Structure Interaction Problem Computations |
|
|
221 | (3) |
|
8.2.1 Theoretical Formulation Of Fluid-Structure Interaction Problem |
|
|
221 | (3) |
|
|
224 | (10) |
|
8.3.1 Example 1a -- Flexible Appendix in a Flow |
|
|
224 | (4) |
|
8.3.2 Example 1b -- Flexible Appendix in a Flow--3d |
|
|
228 | (1) |
|
8.3.3 Example 2 -- Three-Dimensional Sloshing Wave Impacting a Flexible Structure |
|
|
229 | (5) |
References |
|
234 | (5) |
Index |
|
239 | |