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Computational Methods for Reinforced Concrete Structures

Häussler-Combe, Ulrich

Computational Methods for Reinforced Concrete Structures

October 2014
  • 354 pages
  • 184 figures
  • Softcover
  • English
ISBN: 978-3-433-03054-7
available

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Table of contents

1 FINITE ELEMENTS OVERVIEW

Modeling Basics

Discretization Outline

Elements

Material Behavior

Weak Equilibrium and Spatial Discretization

Numerical Integration and Solution Methods for Algebraic Systems

Convergence

2 UNIAXIAL STRUCTURAL CONCRETE BEHAVIOR

Scales and Short-Term Stress-Strain Behavior of Homogenized Concrete

Long-Term Behavior - Creep and Imposed Strains

Reinforcing Steel Stress-Strain Behavior

Bond between Concrete and Reinforcing Steel

The Smeared Crack Model

The Reinforced Tension Bar

Tension Stiffening of Reinforced Tension Bar

3 STRUCTURAL BEAMS AND FRAMES

Cross-Sectional Behavior

1 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 Reinforcement

Equilibrium of Beams

Finite Element Types for Plane Beams

1 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 Solution

Further Aspects of Reinforced Concrete

1 Creep - 2 Temperature and Shrinkage - 3 Tension Stiffening - 4 Shear Stiffness for Reinforced Cracked Concrete Sections

Prestressing

Large Deformations and Second-Order Analysis

Dynamics of Beams

4 STRUT-AND-TIE MODELS

Elastic Plate Solutions

Modeling

Solution Methods for Trusses

Rigid-Plastic Truss Models

More Application Aspects

5 MULTIAXIAL CONCRETE MATERIAL BEHAVIOR

Basics

1 Continua and Scales - 2 Characteristics of Concrete Behavior

Continuum Mechanics

1 Displacements and Strains - 2 Stresses and Material Laws - 3 Coordinate Transformations and Principal States

Isotropy, Linearity, and Orthotropy

1 Isotropy and Linear Elasticity - 2 Orthotropy - 3 Plane Stress and Strain

Nonlinear Material Behavior

1 Tangential Stiffness - 2 Principal Stress Space and Isotropic Strength - 3 Strength of Concrete - 4 Phenomenological Approach for the Biaxial Anisotropic Stress-Strain Behavior

Isotropic Plasticity

1 A Framework for Multiaxial Elastoplasticity - 2 Pressure-Dependent Yield Functions

Isotropic Damage

Multiaxial Crack Modeling

1 Basic Concepts of Crack Modeling - 2 Multiaxial Smeared Crack Model

The Microplane Model

Localization and Regularization

1 Mesh Dependency - 2 Regularization - 3 Gradient Damage

General Requirements for Material Laws

6 PLATES

Lower Bound Limit Analysis

1 The General Approach - 2 Reinforced Concrete Contributions - 3 A Design Approach

Crack Modeling

Linear Stress-Strain Relations with Cracking

2D Modeling of Reinforcement and Bond

Embedded Reinforcement

7 SLABS

A Placement

Cross-Sectional Behavior

1 Kinematic and Kinetic Basics - 2 Linear Elastic Behavior - 3 Reinforced Cracked Sections

Equilibrium of Slabs

1 Strong Equilibrium - 2 Weak Equilibrium - 3 Decoupling

Structural Slab Elements

1 Area Coordinates - 2 A Triangular Kirchhoff Slab Element

System Building and Solution Methods

Lower Bound Limit Analysis

1 General Approach and Principal Moments - 2 Design Approach for Bending - 3 Design

Approach for Shear

Kirchhof Slabs with Nonlinear Material Behavior

8 SHELLS

Approximation of Geometry and Displacements

Approximation of Deformations

Shell Stresses and Material Laws

System Building

Slabs and Beams as a Special Case

Locking

Reinforced Concrete Shells

1 The Layer Model - 2 Slabs as Special Case - 3 The Plastic Approach

9 RANDOMNESS AND RELIABILITY

Basics of Uncertainty and Randomness

Failure Probability

Design and Safety Factors

10 APPENDICES

A Solution of Nonlinear Algebraic Equation Systems

B Crack Width Estimation

C Transformations of Coordinate Systems

D Regression Analysis

E Reliability with Multivariate Random Variables

F Programs and Example Data