Computational structural concrete : theory and applications / / Ulrich Häussler-Combe

• Record Nr.: UNINA9910643743503321
• Autore: Häussler-Combe Ulrich
• Pubbl/distr/stampa: Berlin, Germany : , : Ernst & Sohn, , [2023]; ©2023
• ISBN: 3-433-61026-6; 3-433-61025-8
• Edizione: [Second enlarged and improved edition.]
• Descrizione fisica: 1 online resource (444 pages)
• Disciplina: 620.136
• Soggetti: Concrete - Environmental aspects; Finite element method; Reinforced concrete
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Nota di bibliografia: Includes bibliographical references (pages 427-436) and index.
• Nota di contenuto: Cover -- Main title -- Copyright page -- Preface -- Contents -- List of Examples -- Notation -- 1 Introduction -- Why Read This Book? -- Topics of the Book -- How to Read This Book -- 2 Finite Elements Overview -- 2.1 Modelling Basics -- 2.2 Discretisation Outline -- 2.3 Elements -- 2.4 Material Behaviour -- 2.5 Weak Equilibrium -- 2.6 Spatial Discretisation -- 2.7 Numerical Integration -- 2.8 Equation Solution Methods -- 2.8.1 Nonlinear Algebraic Equations -- 2.8.2 Time Incrementation -- 2.9 Discretisation Errors -- 3 Uniaxial Reinforced Concrete Behaviour -- 3.1 Uniaxial Stress-Strain Behaviour of Concrete -- 3.2 Long-Term Behaviour - Creep and Imposed Strains -- 3.3 Reinforcing Steel Stress-Strain Behaviour -- 3.4 Bond between Concrete and Reinforcement -- 3.5 Smeared Crack Model -- 3.6 Reinforced Tension Bar -- 3.7 Tension Stiffening of Reinforced Bars -- 4 Structural Beams and Frames -- 4.1 Cross-Sectional Behaviour -- 4.1.1 Kinematics -- 4.1.2 Linear Elastic Behaviour -- 4.1.3 Cracked Reinforced Concrete Behaviour -- 4.2 Equilibrium of Beams -- 4.3 Finite Elements for Plane Beams -- 4.3.1 Timoshenko Beam -- 4.3.2 Bernoulli Beam -- 4.4 System Building and Solution -- 4.4.1 Integration -- 4.4.2 Transformation and Assembling -- 4.4.3 Kinematic Boundary ; Conditions and Solution -- 4.4.4 Shear Stiffness -- 4.5 Creep of Concrete -- 4.6 Temperature and Shrinkage -- 4.7 Tension Stiffening -- 4.8 Prestressing -- 4.9 Large Displacements - Second-Order Analysis -- 4.10 Dynamics -- 5 Strut-and-Tie Models -- 5.1 Elastic Plate Solutions -- 5.2 Strut-and-Tie Modelling -- 5.3 Solution Methods for Trusses -- 5.4 Rigid Plastic Truss Models -- 5.5 Application Aspects -- 6 Multi-Axial Concrete Behaviour -- 6.1 Basics -- 6.1.1 Continua and Scales -- 6.1.2 Characteristics of Concrete Behaviour -- 6.2 Continuum Mechanics -- 6.2.1 Displacements and Strains.; 6.2.2 Stresses and Material Laws -- 6.2.3 Coordinate Transformations and Principal States -- 6.3 Isotropy, Linearity, and Orthotropy -- 6.3.1 Isotropy and Linear Elasticity -- 6.3.2 Orthotropy -- 6.3.3 Plane Stress and Strain -- 6.4 Nonlinear Material Behaviour -- 6.4.1 Tangential Stiffness -- 6.4.2 Principal Stress Space and Isotropic Strength -- 6.4.3 Strength of Concrete -- 6.4.4 Nonlinear Material Classification -- 6.5 Elasto-Plasticity -- 6.5.1 A Framework for Multi-Axial Elasto-Plasticity -- 6.5.2 Pressure-Dependent Yield Functions -- 6.6 Damage -- 6.7 Damaged Elasto-Plasticity -- 6.8 The Microplane Model -- 6.9 General Requirements for Material Laws -- 7 Crack Modelling and Regularisation -- 7.1 Basic Concepts of Crack Modelling -- 7.2 Mesh Dependency -- 7.3 Regularisation -- 7.4 Multi-Axial Smeared Crack Model -- 7.5 Gradient Methods -- 7.5.1 Gradient Damage -- 7.5.2 Phase Field -- 7.5.3 Assessment of Gradient Methods -- 7.6 Overview of Discrete Crack Modelling -- 7.7 The Strong Discontinuity Approach -- 7.7.1 Kinematics -- 7.7.2 Equilibrium and Material Behaviour -- 7.7.3 Coupling -- 8 Plates -- 8.1 Lower Bound Limit State Analysis -- 8.1.1 General Approach -- 8.1.2 Reinforced Concrete Resistance -- 8.1.3 Reinforcement Design -- 8.2 Cracked Concrete Modelling -- 8.3 Reinforcement and Bond -- 8.4 Integrated Reinforcement -- 8.5 Embedded Reinforcement with a Flexible Bond -- 9 Slabs -- 9.1 Classification -- 9.2 Cross-Sectional Behaviour -- 9.2.1 Kinematics -- 9.2.2 Internal Forces -- 9.3 Equilibrium of Slabs -- 9.3.1 Strong Equilibrium -- 9.3.2 Weak Equilibrium -- 9.3.3 Decoupling -- 9.4 Reinforced Concrete Cross-Sections -- 9.5 Slab Elements -- 9.5.1 Area Coordinates -- 9.5.2 Triangular Kirchhoff Slab Element -- 9.6 System Building and Solution Methods -- 9.7 Lower Bound Limit State Analysis -- 9.7.1 Design for Bending.; 9.7.2 Design for Shear -- 9.8 Nonlinear Kirchhoff Slabs -- 9.8.1 Basic Approach -- 9.8.2 Simple Moment-Curvature Behaviour -- 9.8.3 Extended Moment-Curvature Behaviour -- 9.9 Upper Bound Limit State Analysis -- 10 Shells -- 10.1 Geometry and Displacements -- 10.2 Deformations -- 10.3 Shell Stresses and Material Laws -- 10.4 System Building -- 10.5 Slabs and Beams as a Special Case -- 10.6 Locking -- 10.7 Reinforced Concrete Shells -- 10.7.1 Layer Model -- 10.7.2 Slabs As a Special Case -- 11 Randomness and Reliability -- 11.1 Uncertainty and Randomness -- 11.2 Failure Probability -- 11.2.1 Linear Limit Condition -- 11.2.2 Nonlinear Limit Condition -- 11.2.3 Multiple Limit Conditions -- 11.3 Design and Safety Factors -- 11.3.1 Safety Factor Basics -- 11.3.2 Partial Safety Factor Application -- 12 Concluding Remarks -- Appendix A Solution Methods -- A.1 Nonlinear Algebraic Equations -- A.2 Transient Analysis -- A.3 Stiffness for Linear Concrete Compression -- A.4 The Arc Length Method -- Appendix B Material Stability -- Appendix C Crack Width Estimation -- Appendix D Transformations of Coordinate Systems -- Appendix E Regression Analysis -- References -- Index -- EULA.