Computational Methods for Reinforced Concrete Structures

1 FINITE ELEMENTS OVERVIEWModeling BasicsDiscretization OutlineElementsMaterial BehaviorWeak Equilibrium and Spatial DiscretizationNumerical Integration and Solution Methods for Algebraic SystemsConvergence2 UNIAXIAL STRUCTURAL CONCRETE BEHAVIORScales and Short-Term Stress-Strain Behavior of Homogenized ConcreteLong-Term Behavior - Creep and Imposed StrainsReinforcing Steel Stress-Strain BehaviorBond between Concrete and Reinforcing SteelThe Smeared Crack ModelThe Reinforced Tension BarTension Stiffening of Reinforced Tension Bar3 STRUCTURAL BEAMS AND FRAMESCross-Sectional Behavior1 Kinematics - 2 Linear Elastic Behavior - 3 Cracked Reinforced Concrete Behavior - 4 Compressive Zone and Internal Forces - 5 Linear Concrete Compressive Behavior with Reinforcement - 6 Nonlinear Behavior of Concrete and ReinforcementEquilibrium of BeamsFinite Element Types for Plane Beams1 Basics - 2 Finite Elements for the Bernoulli Beam - 3 Finite Elements for the Timoshenko Beam - 4 System Building and Solution Methods - 5 Elementwise Integration - 6 Transformation and Assemblage - 7 Kinematic Boundary Conditions and SolutionFurther Aspects of Reinforced Concrete1 Creep - 2 Temperature and Shrinkage - 3 Tension Stiffening - 4 Shear Stiffness for Reinforced Cracked Concrete SectionsPrestressingLarge Deformations and Second-Order AnalysisDynamics of Beams4 STRUT-AND-TIE MODELSElastic Plate SolutionsModelingSolution Methods for TrussesRigid-Plastic Truss ModelsMore Application Aspects5 MULTIAXIAL CONCRETE MATERIAL BEHAVIORBasics1 Continua and Scales - 2 Characteristics of Concrete BehaviorContinuum Mechanics1 Displacements and Strains - 2 Stresses and Material Laws - 3 Coordinate Transformations and Principal StatesIsotropy, Linearity, and Orthotropy1 Isotropy and Linear Elasticity - 2 Orthotropy - 3 Plane Stress and StrainNonlinear Material Behavior1 Tangential Stiffness - 2 Principal Stress Space and Isotropic Strength - 3 Strength of Concrete - 4 Phenomenological Approach for the

Ulrich Häussler-Combe, Prof. Dr.-Ing. habil. studied structural engineering at the Technical University Dortmund and gained his doctorate from the Karlsruhe Institute of Technology (KIT). Following ten years of construction engineering and development in computational engineering, he came back to KIT as a lecturer for computer aided design and structural dynamics. Since 2003 he has been professor of special concrete structures at Dresden University of Technology.