fib Bulletin 45 Practitioners' guide to finite element modelling of reinforced concrete structures
Author: FIB | Size: 28.4 MB | Format: PDF | Publisher: FIB | Year: 2008 | pages: 344 | ISBN: 978-2-88394-085-7
Non-linear computer analysis methods have seen remarkable advancement in the last half-century. The state-of-the-art in non-linear finite element analysis of reinforced concrete has progressed to the point where such procedures are close to being practical, every-day tools for design office engineers. Non-linear computer analysis procedures can be used to provide reliable assessments of the strength and integrity of damaged or deteriorated structures, or of structures built to previous codes, standards or practices deemed to be deficient today. They can serve as valuable tools in assessing the expected behaviour from retrofitted structures, or in investigating and rationally selecting amongst various repair alternatives.
fib Bulletin 45 provides an overview of current concepts and techniques relating to computer-based finite element modelling of structural concrete. It summarises the basic knowledge required for use of nonlinear analysis methods as applied to practical design, construction and maintenance of concrete structures, and attempts to provide a diverse and balanced portrayal of the current technical knowledge, recognizing that there are often competing and conflicting viewpoints.
This report does not give advice on picking one model over another but, rather, provides guidance to designers on how to use existing and future models as tools in design practice, in benchmarking of their models against established and reliable test data and in selecting an appropriate safety factor as well as recognising various pitfalls.
fib Bulletin 45 is intended for practicing engineers, and therefore focuses more on practical application and less on the subtleties of constitutive modelling.
Contents
1 Introduction 1
1.1 Preamble 1
1.2 Notation 2
1.3 Sample applications 2
(1.3.1 Kimberley‐Clark warehouse – 1.3.2 Sleipner A offshore platform –
1.3.3 Frame corner – 1.3.4 Base slabs in LNG storage tank)
1.4 The question of accuracy (1.4.1 – Reasons for caution) 20
1.5 Challenges remaining 27
1.6 Objectives 29
1.7 Scope of report 30
1.8 References 30
2 Design using linear stress analysis 33
2.1 Introduction 33
2.2 Membrane structures 34
(2.2.1 Notation – 2.2.2 General – 2.2.3 Reinforcement in one direction –
2.2.4 Isotropically reinforced panels – 2.2.5 The general solution –
2.2.6 Some comments on the angle θ – 2.2.7 The design concrete
compression strength, fcd. – 2.2.8 Example – Design of a reinforced concrete
squat shear wall)
2.3 Slabs and shells 52
(2.3.1 General – 2.3.2 Stress resultants – 2.3.3 Equilibrium, stress
transformation and boundary conditions for slabs – 2.3.4 Normal moment
yield criterion for slabs – 2.3.5 Sandwich model for the dimensioning of shell
elements – 2.3.6 Dimensioning of slab and shell elements in design practice –
2.3.7 Example 1 – 2.3.8 Example 2)
2.4 3D solid modelling 70
(2.4.1 Introduction – 2.4.2 Background – 2.4.3 Application to reinforced
concrete – 2.4.4 Reinforcement dimensioning for 3D stresses ‐ example 1 –
2.4.5 Reinforcement dimensioning for 3D stresses ‐ example 2)
2.5 References 78
3 Essential nonlinear modelling concepts 83
3.1 Introduction 83
3.2 Nonlinear concrete behaviour 84
(3.2.1 Concrete in compression – 3.2.2 Concrete in tension –
3.2.3 Modelling of tension stiffening – 3.2.4 Modelling of concrete cracks –
3.2.5 Modelling of reinforcement)
3.3 Nonlinear concrete modelling framework 98
(3.3.1 Elasticity – 3.3.2 Plasticity – 3.3.3 Damage – 3.3.4 Mixed models –
3.3.5 Discrete modelling frameworks)
3.4 Solution methods 102
(3.4.1 Newton‐Raphson method – 3.4.2 Modified Newton‐Raphson
method)
3.5 Precision of nonlinear concrete FE analyses 104
3.6 Safety and reliability 105
3.7 Statistical analyses 114
3.8 Concluding remarks 115
3.9 References 115
4 Analysis and design of frame structures using non‐linear models 121
4.1 Introduction 121
4.2 Notation 122fib Bulletin 45: Practitioners’ guide to finite element modelling of reinforced concrete structures v
4.3 Nonlinear models of frame elements 123
(4.3.1 Lumped versus distributed plasticity – 4.3.2 Distributed models –
4.3.3 Section models: fibre elements vs. strut‐and‐tie – 4.3.4 Modelling of
shear – 4.3.5 Modelling Bond Slip in Beams – 4.3.6 Analysis of a section)
4.4 Interpretation of results 148
(4.4.1 Localisation problems – 4.4.2 Physical characteristics of localised
failure in concrete – 4.4.3 Regularisation techniques for force‐based frame
elements – 4.4.4 Practical considerations)
4.5 References 160
5 Analysis and design of surface and solid structures using non‐linear models 165
5.1 Introduction 165
5.2 Notation 165
5.3 2D Structures with in‐plane loading 166
5.4 Plate and shell structures (5.4.1 Layered elements) 170
5.5 Three dimensional solid structures 173
(5.5.1 Introduction – 5.5.2 Models based on non‐linear elasticity –
5.5.3 Fracture‐plasticity modelling – 5.5.4 Microplane model –
5.5.5 Examples of the application of 3D FE modeling)
5.6 References 190
6 Advanced modelling and analysis concepts 195
6.1 Introduction 195
6.2 Constitutive frameworks 195
(6.2.1 Non‐linear elasticity – 6.2.2 Plasticity – 6.2.3 Continuum damage
mechanics – 6.2.4 Smeared crack models – 6.2.5 Microplane models)
6.3 Solution strategies 214
(6.3.1 Introduction – 6.3.2 Newton‐Raphson method – 6.3.3 Modified
Newton‐Raphson method – 6.3.4 Incremental displacement method –
6.3.5 The constant arc length method – 6.3.6 Line searches –
6.3.7 Convergence criteria – 6.3.8 Load‐displacement incrementation)
6.4 Other issues 223
(6.4.1 Post peak response of compression elements – 6.4.2 Effects of ageing
and distress in concrete – 6.4.3 Effects of ageing and distress in reinforcing
steel – 6.4.4 Second order effects)
6.5 References 227
7 Benchmark tests and validation procedures 233
7.1 Introduction 233
7.2 Calibration and validation of NLFEA models 234
(7.2.1 Overview of model calibration and validation process – 7.2.2 Level 1:
model calibration with material properties – 7.2.3 Level 2: validation and
calibration with systematically arranged element–level benchmark tests –
7.2.4 Level 3: validation and calibration at structural level)
7.3 Selection of global safety factor 239
7.4 Other issues in the use and validation of NLFEA programs 241
(7.4.1 Problem definition and model selection – 7.4.2 Working within the
domain of the program’s capability)
7.5 Case 1: Design of a shear wall with openings 244
(7.5.1 Objective – 7.5.2 Level 1 calibration – 7.5.3 Level 2 and 3
validation – 7.5.4 Evaluation of global safety)
7.6 Case study II: design of simply supported deep beam 250
(7.6.1 Objective – 7.6.2 Calibration and validation of NLFEAP‐1 –
7.6.3 Calibration and validation of NLFEAP‐2 – 7.6.4 Analysis of deep
beam)vi fib Bulletin 45: Practitioners’ guide to finite element modelling of reinforced concrete structures
7.7 Summary and future trends in model validation 260
7.8 Future trends in model validation 261
7.9 References 263
8 Strut‐and‐tie modelling 265
8.1 Introduction 265
8.2 Notation 266
8.3 Overview of the STM 267
(8.3.1 Strut‐and‐tie models – 8.3.2 Components of strut‐and‐tie models –
8.3.3 Admissible strut‐and‐tie models)
8.4 STM design steps (8.4.1 Complications in STM design) 270
8.5 Some considerations in using the STM 271
(8.5.1 Rules in defining D‐regions – 8.5.2 Two‐ and three‐dimensional
D‐regions – 8.5.3 Capacity of struts – 8.5.4 Uniqueness of strut‐and‐tie
models – 8.5.5 Strain incompatibility of struts and ties – 8.5.6 Tension
stiffening in ties – 8.5.7 Influence of tie anchorages – 8.5.8 Size, geometry,
and strength of nodal zones – 8.5.9 Load redistribution and ductility
requirements)
8.6 Computer‐based STM 279
8.7 Modelling aspects using computer‐based STM 280
(8.7.1 Identifying strut‐and‐tie models – 8.7.2 Refining strut‐and‐tie
models – 8.7.3 Other considerations – 8.7.4 Static indeterminacy of
strut‐and‐tie models – 8.7.5 Procedures to solve statically indeterminate
strut‐and‐tie models – 8.7.6 Dimensioning nodal regions)
8.8 Design example using computer‐based tools 298
(8.8.1 Problem statement – 8.8.2 Solution)
8.9 References 303
9 Special purpose design methods for surface structures 307
9.1 Introduction 307
9.2 Notation 307
9.3 Design of slabs and shear walls: perfect plastic approach 309
(9.3.1 Slabs subjected to bending loads – 9.3.2 Ultimate load determination –
9.3.3 Failure mode determination – 9.3.4 Material optimization –
9.3.5 Plates subjected to in‐plane loads)
9.4 Design of slabs using the reinforcement field approach 318
(9.4.1 Linear yield conditions for element nodal forces – 9.4.2 Material
optimisation through stress redistribution – 9.4.3 Slab subjected to bending
loads – 9.4.4 Dimensioning procedure)
9.5 Design of shear‐walls: the stringer‐panel approach 321
(9.5.1 Linear‐elastic version – 9.5.2 Non‐linear version –
9.5.3 A three‐step design procedure – 9.5.4 Example)
9.6 References 329
10 Concluding remarks 331
10.1 Introduction 331
10.2 Structural performance based design in practice 331
10.3 Benefits of non‐linear modelling and analyses 333
10.4 Code provisions 335
10.5 Specification of design loads 335
10.6 Maintenance 336
10.7 References
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Using the "search" option I was surprised that I didn't found this book.
Merry Christmas!
:JC_cheers:
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