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Nonlinear Analysis of Structures

Objectives

To provide students with advanced knowledge on nonlinear solid behavior and nonlinear analysis of structures.

General characterization

Code

9674

Credits

6.0

Responsible teacher

João Carlos Gomes Rocha de Almeida

Hours

Weekly - Available soon

Total - 21

Teaching language

Português

Prerequisites

Available soon

Bibliography

- P.B. Lourenço, Métodos Computacionais na Mecância dos Sólidos Não-Linear, Universidade do Minho, 1999.

- J.T. Oden, Finite Elements of Nonlinear Continua, Dover, 2006.

- V.V. Novozhilov, Foundations of the Nonlinear Theory of Elasticity, Dover, 1999.

- L.M. Kachanov, Fundamentals of the Theory of Plasticity, Dover, 2004.

- W. Prager, An Introduction to Plasticity, Mac Millan, 1963.

- K. Maekawa, Nonlinear Mechanics of Reinforced Concrete, Taylor and Francis, 2003.

- J.M. Berthelot, Composite Materials - Mechanical Behaviour and Structural Analysis, ed. Springer, 1999.

- J.G. Teng, J.F. Chen, S.T. Simth, L. Lam, FRP-strengthened RC structures, John Wiley & Sons, 2002.

- J.W. Bull, Numerical Analysis and Modelling of Composite Materials, ed. Blackie Academic & Professional, 1996.

- J. Červenka, R. Pukl, V. Červenka, Superior Material Models for Numerical Simulation of Concrete Cracking under Severe Conditions, EUROMECH Colloquium 460, Numerical Modelling of Concrete Cracking, Austria, 2005.

Teaching method

- Weekly meetings between lecturer and students, for introduction and development of concepts, assessment of the progress made and presentation and analysis of proposed exercises.

Evaluation method

- Evaluation based on individual activity report, focusing on the presentation of results to the problems suggested.

Subject matter

- Causes of non linearity. Nonlinear elasticity. Plasticity, accumulated damage and fracture.
- Theory, modeling and calculation of structures with material or geometric non linearity. Strategies for resolution of nonlinear equations of equilibrium. Introduction to the nonlinear dynamic analysis of structures.
- Applications to concrete structures, with or without external reinforcement through plated polymers. Material behavior under monotonic, cyclical and dynamic loads. Effect of external confinement in elements subjected to compression. Steel-concrete adhesion and modeling of bond-slip between steel and concrete and between FRP reinforcement and concrete. Crack modeling. Representation of material aging in the behavior of reinforced concrete elements.