Nonlinear Structural Analysis

Code:

PRODEC021

Acronym:

ANLE

Keywords
Classification	Keyword
OFICIAL	Civil Engineering - Structures

Instance: 2023/2024 - 2S

Active?	Yes
Responsible unit:	Department of Civil and Georesources Engineering
Course/CS Responsible:	Doctoral Program in Civil Engineering

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
PRODEC	3	Syllabus since 2007/08	1	-	5	45	135

Teaching language

Portuguese and english

Objectives

To provide the fundamentals for an adequate use of the Newton-Raphson Method on the nonlinear analysis of structures, supported on discretizations based of the Finite Element Method.

Learning outcomes and competences

To learn how to use computational codes of nonlinear structural analysis, including the implementation of computational routines for the simulation of different types of nonlinearities.

Working method

Presencial

Program

1) Modalities of nonlinear analysis more relevant in Structural Engineering: material and geometric. Solution algorithms and systematization of the resolution phases of a non-linear problem by the Newton-Raphson method. Analytical resolution of simple structural problems, for illustration of the approach of material nonlinearity.

2) Theory of Plasticity. Concepts of plastic flow and yield criterion. Normality law.

3) Nonlinear material analysis based on the Theory of Plastic Flow, applied to 2D problems. Computational coding of the Newton-Raphson method and of the Theory of Plastic Flow. Focus on the interpretation of associated physical problems and their resolution.

DEMONSTRATION OF THE SYLLABUS COHERENCE WITH THE CURRICULAR UNIT'S OBJECTIVES:

The matters to be lectured allow the students to get the essential background in structural analysis, detailing the methodologies and the techniques usually adopted for the modelling of the nonlinear material behaviour.

Mandatory literature

D. R. Owen and E. Hinton (1980; Finite Elements in Plasticity (Theory and Practice), Pineridge Press Limited, Swansea.
K. J. Bathe (1987); Finite Element Procedures in Engineering Analysis, Prentice-Hall, Englewood Cliffs, New Jersey.
M. A. Crisfield (1991); Non-Linear Finite Element Analysis of Solids and Structures (Vol. 1: Essentials), John Wiley & Sons, Chichester.

Teaching methods and learning activities

The teaching involves sessions with theoretical presentations and discussions. The student grading will be based on a written exam.

DEMONSTRATION OF THE COHERENCE BETWEEN THE TEACHING METHODOLOGIES AND THE LEARNING OUTCOMES:

The discussion of the UC contents allows for an efficient learning experience at this education level.

Evaluation Type

Evaluation with final exam

Assessment Components

Designation	Weight (%)
Exame	100,00
Total:	100,00

Amount of time allocated to each course unit

Designation	Time (hours)
Estudo autónomo	60,00
Total:	60,00

Eligibility for exams

There are no requirements for obtaining frequency, since teaching is tutorial.

Calculation formula of final grade

Final Grade = final exam classification