Computational Structural Concrete: Theory and Applications

ISBN-13: 9783433033104 / Angielski / Miękka / 2022 / 448 str.

Peter Mark

Spis treści

PrefaceList of Examples*Notation1 INTRODUCTION2 FINITE ELEMENTS OVERVIEW2.1 Modelling Basics2.2 Discretisation Outline2.3 Elements2.4 Material Behavior2.5 Weak Equilibrium2.6 Spatial Discretisation2.7 Numerical Integration2.8 Equation Solution Methods2.9 Discretisation Errors3 UNIAXIAL REINFORCED CONCRETE BEHAVIOUR3.1 Uniaxial Stress-Strain Behaviour of Concrete3.2 Long-Term Behaviour - Creep and Imposed Strains3.3 Reinforcing Steel Stress-Strain Behaviour3.4 Bond between Concrete and Reinforcement3.5 Smeared Crack Model3.6 Reinforced Tension Bar3.7 Tension Stiffening of Reinforced Bars4 STRUCTURAL BEAMS AND FRAMES4.1 Cross-Sectional Behaviour4.2 Equilibrium of Beams4.3 Finite Elements for Plane Beams4.4 System Building and Solution4.5 Creep of Concrete4.6 Temperature and Shrinkage4.7 Tension Stiffening4.8 Prestressing4.9 Large Displacements - Second-Order Analysis4.10 Dynamics5 STRUT-AND-TIE MODELS5.1 Elastic Plate Solutions5.2 Strut-and-Tie Modelling5.3 Solution Methods for Trusses5.4 Rigid Plastic Truss Models5.5 Application Aspects6 MULTI-AXIAL CONCRETE BEHAVIOUR6.1 Basics6.2 Continuum Mechanics6.3 Isotropy, Linearity, and Orthotropy6.4 Nonlinear Material Behaviour6.5 Elasto-Plasticity6.6 Damage6.7 Damaged Elasto-Plasticity6.8 The Microplane Model6.9 General Requirements for Material Laws7 CRACK MODELLING AND REGULARISATION7.1 Basic Concepts of Crack Modelling7.2 Mesh Dependency7.3 Regularisation7.4 Multi-Axial Smeared Crack Model7.5 Gradient Methods7.6 Overview of Discrete Crack Modelling7.7 The Strong Discontinuity Approach8 PLATES8.1 Lower Bound Limit State Analysis8.2 Cracked Concrete Modelling8.3 Reinforcement and Bond8.4 Integrated Reinforcement8.5 Embedded Reinforcement with a Flexible Bond9 SLABS9.1 Classification9.2 Cross-Sectional Behaviour9.3 Equilibrium of Slabs9.4 Reinforced Concrete Cross-Sections9.5 Slab Elements9.6 System Building and Solution Methods9.7 Lower Bound Limit State Analysis9.8 Nonlinear Kirchhoff Slabs9.9 Upper Bound Limit State Analysis10 SHELLS10.1 Geometry and Displacements10.2 Deformations10.3 Shell Stresses and Material Laws10.4 System Building10.5 Slabs and Beams as a Special Case10.6 Locking10.7 Reinforced Concrete Shells11 RANDOMNESS AND RELIABILITY11.1 Uncertainty and Randomness11.2 Failure Probability11.3 Design and Safety Factors12 CONCLUDING REMARKSAPPENDIX A SOLUTION METHODSA.1 Nonlinear Algebraic EquationsA.2 Transient AnalysisA.3 Stiffness for Linear Concrete CompressionA.4 The Arc Length MethodAPPENDIX B MATERIAL STABILITYAPPENDIX C CRACK WIDTH ESTIMATIONAPPENDIX D TRANSFORMATIONS OF COORDINATE SYSTEMSAPPENDIX E REGRESSION ANALYSISReferencesIndex*LIST OF EXAMPLES3.1 Tension bar with localisation3.2 Tension bar with creep and imposed strains3.3 Simple uniaxial smeared crack model3.4 Reinforced concrete tension bar4.1 Moment-curvature relations for given normal forces4.2 Simple reinforced concrete (RC) beam4.3 Creep deformations of RC beam4.4 Effect of temperature actions on an RC beam4.5 Effect of tension stiffening on an RC beam with external and temperature loading4.6 Prestressed RC beam4.7 Stability limit of cantilever column4.8 Ultimate limit for RC cantilever column4.9 Beam under impact load5.1 Continuous interpolation of stress fields with the quad element5.2 Deep beam with strut-and-tie model5.3 Corbel with an elasto-plastic strut-and-tie model6.1 Mises elasto-plasticity for uniaxial behavior6.2 Uniaxial stress-strain relations with Hsieh-Ting-Chen damage6.3 Stability of Hsieh-Ting-Chen uniaxial damage6.4 Microplane uniaxial stress-strain relations with de Vree damage7.1 Plain concrete plate with notch7.2 Plain concrete plate with notch and crack band regularisation7.3 2D smeared crack model with elasticity7.4 Gradient damage formulation for the uniaxial tension bar7.5 Phase field formulation for the uniaxial tension bar7.6 Plain concrete plate with notch and SDA crack modeling8.1 Reinforcement design for a deep beam with a limit state analysis8.2 Simulation of cracked reinforced deep beam8.3 Simulation of a single fibre connecting a dissected continuum8.4 Reinforced concrete plate with flexible bond9.1 Linear elastic slab with opening and free edges9.2 Reinforcement design for a slab with opening and free edges with a limit state analysis9.3 Computation of shear forces and shear design9.4 Elasto-plastic slab with opening and free edges9.5 Simple RC slab under concentrated loading9.6 Simple RC slab with yield line method and distributed loading9.7 Simple RC slab with yield line method and concentrated loading10.1 Convergence study for linear simple slab10.2 Simple RC slab with interaction of normal forces and bending11.1 Analytical failure probability of cantilever column11.2 Approximate failure probability of cantilever column with Monte Carlo integration11.3 Simple partial safety factor derivation

O autorze

Ulrich Häussler-Combe studied structural engineering at the Technical University Dortmund and gained his doctorate from the University Karlsruhe. Following ten years of construction engineering and development in computational engineering, he came back to the University Karlsruhe as a lecturer for computer aided design and structural dynamics. In 2003 he was appointed as professor for special concrete structures at the Technical University Dresden. He retired in 2021 and currently is still active as guest professor at the Technical University Munich.