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Nonlinear Analysis of Structures

Code 14601
Year 2
Semester S1
ECTS Credits 6
Workload T(30H)/TP(30H)
Scientific area Mechanics and Structures
Entry requirements -
Learning outcomes The curricular unit of Nonlinear Analysis of Structures aims to develop the fundaments, formulations, and
techniques to solve problems that permit to analyze the non-linear behavior of structures. This curricular unit
aims to develop the following competences and skills: a) Recognize the nonlinear nature of the structural
behavior and the importance for the response evaluation under different loadings; b) Understanding the
geometric and mechanical properties of the structures that contribute for the nonlinear behavior; c)
Understanding the formulations to characterize the nonlinear behavior, geometric and material, of structures;
d) Being able to develop the solution equations and to formulate and implement solution algorithms using
numerical techniques; e) Being able to use programs for automatic analysis of structures, based on finite
element methods, for the nonlinear analysis of structures.
Syllabus 1. Introduction. Concepts and types of nonlinearity. Application fields of nonlinear analysis of structures. 2.
Analysis of structures with geometric nonlinearity. Geometric nonlinear formulation for continuous elements.
Instability analysis of structures. 3. Analysis of structures with material nonlinearity. Rheological behaviour of
materials and physical models. Plasticity. Cracking models for concrete. 4. Numerical methods to obtain
solutions of nonlinear systems of equations related to nonlinear structural problems. Convergence criteria and
computational implementation (programming). 5. Finite element method. Formulations for nonlinear analysis
of structures. Using computer programs. Applications.
Main Bibliography Reis A., Camotim, D. (2012). Estabilidade e Dimensionamento de Estruturas. Edições Orion. Bazant Z., Cedolin
L. (2010). Stability of Structures – Elastic, Inelastic, Fracture and Damage Theories. Singapore: World
Scientific Publishing Co. Pte. Ltd. fib Bulletin 45 (2008). Practicioners´guide to finite element modelling of
reinforced concrete structures. State-of-art report. Doyle J. (2001). Nonlinear Analysis of Thin-Walled
Structures – Statics, Dynamics, and Stability. New York: Springer Verlag. Lourenço P.B. (1999). Métodos
computacionais na mecânica dos sólidos não-linear. Relatório 99-DEC/E-1, Universidade do Minho. Criesfield,
M.A. (1991). Non-linear Finite Element Analysis of Structures. Chichester, West Sussex: John Willey & Sons.
Bathe, K-J. (1996). Finite Element Procedures. Upper Saddle River, New Jersey: Prentice-Hall, Inc.
Timoshenko S., Gere J. (1961). Theory of Elastic Stability. New York: McGraw-Hill Book Company, Inc.
Language Portuguese. Tutorial support is available in English.
Last updated on: 2021-04-03

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