Finite-Element Modelling of Structural Concrete: Short-Term Static and Dynamic Loading Conditions, 1st Edition (Paperback) book cover

Finite-Element Modelling of Structural Concrete

Short-Term Static and Dynamic Loading Conditions, 1st Edition

By Michael D. Kotsovos

CRC Press

381 pages | 307 B/W Illus.

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A Powerful Tool for the Analysis and Design of Complex Structural Elements

Finite-Element Modelling of Structural Concrete: Short-Term Static and Dynamic Loading Conditions presents a finite-element model of structural concrete under short-term loading, covering the whole range of short-term loading conditions, from static (monotonic and cyclic) to dynamic (seismic and impact) cases. Experimental data on the behavior of concrete at both the material and structural levels reveal the unavoidable development of triaxial stress conditions prior to failure which dictate the collapse and ductility of structural concrete members. Moreover, and in contrast with generally accepted tenets, it can be shown that the post-peak behavior of concrete as a material is realistically described by a complete and immediate loss of load-carrying capacity. Hence rational analysis and design of concrete components in accordance with the currently prevailing limit-state philosophy requires the use of triaxial material data consistent with the notion of a fully brittle material, and this approach is implemented in the book by outlining a finite-element method for the prediction of the strength, deformation, and cracking patterns of arbitrary structural concrete forms.

Presents a Unified Approach to Structural Modeling

Numerous examples are given that show both the unifying generality of this proposed approach and the reliability of the ensuing numerical procedure for which the sole input is the specified uniaxial cylinder compressive strength of concrete and the yield stress of the steel. This not only offers a better understanding of the phenomenology of structural concrete behavior but also illustrates, by means of suitable examples, the type of revision required for improving design methods in terms of both safety and economy.

This book:

  • Highlights the significance of valid experimental information on the behavior of concrete under triaxial stress conditions for interpreting structural behavior
  • Describes the techniques used for obtaining valid test data and modeling concrete behavior
  • Discusses the modeling of steel properties as well as the interaction between concrete and steel
  • Presents numerical techniques for incorporating the material models into nonlinear finite-element analysis for the case of short-term static loading
  • Provides numerical techniques adopted for extending the use of the numerical analysis scheme for the solution of dynamic problems
  • Predicts the response of a wide range of structural-concrete configurations to seismic and impact excitations

Using relevant case studies throughout, Finite-Element Modelling of Structural Concrete: Short-Term Static and Dynamic Loading Conditions focuses on the realistic modeling of structural concrete on the basis of existing and reliable material data and aids in the research and study of structural concrete and concrete materials.


"This book provides a comprehensive and reliable treatment of the finite element analysis of reinforced concrete structures on the basis of well-founded material properties adopted on the basis of experimental results after a critical evaluation by the author according to his personal research. The strictness of the approach regarding the effective triaxial concrete behaviour forms a safe basis for the development of the finite element procedure in analyzing various reinforced concrete structures under static and dynamic loading including the seismic design."

—Leonidas Stavridis, National Technical University of Athens

Table of Contents

Need for a reappraisal

Physical modelling of structural concrete

Constitutive modelling

Concluding remarks


Main behavioural characteristics of concrete

The cylinder test

Post-peak behaviour

Fracture processes in concrete

Failure mechanism in concrete structures

A summary of characteristic features of concrete relevant to modelling material behaviour


Modelling of concrete behaviour

Constutive relations for concrete

Strength envelopes for concrete

Deformational and yield characteristics of reinforcing steel

A summary of characteristic features of concrete relevant to modelling of material behaviour


Structure modelling for static problems

The finite-element method

Nonlinear analysis

The nonlinear finite element model for structural concrete

Material and procedural factors influencing FE predictions

A brief outline of the smeared-model package


Finite-element solutions of static problems

Effect of crack closure on predictions of structural-concrete behaviour under monotonic loading

Performance of structural-concrete members exhibiting points of contra-flexure under sequential loading

RC beam-column joints under cyclic loading

Structural walls under cyclic loading

Numerical experiments on flat slabs


Extension of finite element modelling to dynamic problems


The equation of motion

Numerical solution of the equation of motion

Numerical procedure adopted for structural concrete

Implementation of the dynamic scheme

Verification studies for the dynamic scheme

General remarks


Reinforced concrete structural members under earthquake loading


Application of the earthquake load

RC columns

RC frames

Three-storey RC wall

Two-level RC frame under seismic action

Effect of the confinement of reinforcement in boundary-column elements on the behaviour of structural-concrete walls under seismic excitation

Concluding remarks


Structural concrete under impact loading


Structural concrete under compressive impact loading

Structural concrete under tensile impact loading

RC beams under impact loading

Concluding remarks


A: Octahedral formulation of stresses and strains

B: Coordinate transformations

About the Author

Michael Kotsovos is a senior research fellow, and former professor and head of the Structures Department, at the National Technical University of Athens. He was formerly a consultant to Jan Bobrowski and Partners; Rendel, Parmer and Tritton; and Taywood Engineering in London; followed by several years as a lecturer at Imperial College London, UK.

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