Analysis of Advanced Structures

Recommended Prerequisites

Strength of Materials, Elasticity and Plasticity, Mechanics of Structures, Linear Algebra, Mathematical Analysis.

Teaching Methods

The program content is presented and discussed in theoretical classes, promoting the understanding of fundamental concepts and their contextualisation in practical applications. In theoretical-practical classes, these concepts are further explored through the guided resolution of representative problems, with tutorial support.

To reinforce the development of analytical skills and autonomy, additional exercises are proposed for completion outside of the classroom, complementing the problems solved in group sessions and guiding individual work.

The practical application of acquired knowledge is consolidated through the numerical modelling of advanced structures, using commercial finite element method software. This component allows students to explore computational solutions, interpret results, and apply simulation methodologies to realistic cases.

Learning Outcomes

The main objective of this course is to provide students with an in-depth understanding of the mechanical behavior of composite materials. Students are expected to develop the following competencies: analyse and model the mechanical response of composite materials under various loading conditions; understand reinforcement mechanisms and the interactions between matrix and reinforcement; apply micromechanical and macromechanical theories to predict structural performance; evaluate the effects of environmental factors (in particular, temperature, humidity, and aging) on the properties and durability of composites; select composite materials and architectures according to structural and environmental requirements; use numerical and experimental tools for the characterisation and design of composite structures.

Work Placement(s)

No

Syllabus

1. Introduction to composites: basic concepts; functions of the matrix and the reinforcement; typical applications. 2. Fundamentals of solid mechanics: stress and strain tensors; principal stresses and strains; experimental methodologies for strain measurement. 3. Macromechanical behaviour of a lamina: elastic anisotropy; hygrothermal effects; plane stress state; coordinate transformation and failure criteria. 4. Micromechanical behaviour of a lamina: properties of constituents, volume and mass fractions, density and porosity; relationship between constituent properties and composite properties; experimental determination of mechanical properties; determination of thermal and hygroscopic coefficients. 5. Macromechanical behaviour of a laminated composite: laminated plate theory; stress-strain relations; hygrothermal stress-strain behavior; progressive failure analysis; environmental effects; impact; fracture; fatigue; numerical modeling using the finite element method.

Head Lecturer(s)

Ana Paula Betencourt Martins Amaro

Assessment Methods

Final Assessment
Exam: 100.0%

Continuous Assessment
Resolution Problems: 15.0%
Exam: 85.0%

Bibliography

Daniel Gay (2023). Composite Materials: Design and Applications. CRC Press, Fourth edition, Taylor & Francis Group, LLC, ISBN: 9781032043081.

V.V. Vasiliev, E.V. Morozov (2018). Advanced Mechanics of Composite Materials and Structures. Elsevier. ISBN 9780081022092.

R. Jones (2018). Mechanics of Composite Materials. CRC Press, Second edition. ISBN: 9781560327127 (ebook).

Ronald F. Gibson (2016). Principles of Composite Material Mechanics. CRC Press, Fourth edition, Taylor & Francis Group, LLC, ISBN: 9780429190582.

F.L. Matthews, G.A. Davies, D. Hitchings, C. Soutis (2000). Finite Element Modelling of Composite Materials and Structures. Woodhead Publishing. ISBN: 9781855734227.

A.K. Kaw (2006). Mechanics of Composite Materials. CRC Press. ISBN 0849313430.

I.M. Daniel, O. Ishai (2006). Engineering Mechanics of Composite Materials. Oxford University Press. ISBN: 9780195150971.

R.P. Leal (2005). Materiais Compósitos. Departamento de Engenharia Mecânica da Universidade de Coimbra.