Mechanics of Continuous Media

Recommended Prerequisites

Mathematical Analysis I, Mechanics I, Linear Algebra and Analytical Geometry.

Teaching Methods

Detailed presentation of the theory, accompanied by the resolution of illustrative examples and exercises by the teacher.  Autonomous problem solving in which the students work out exercises and problems of theoretical and practical application with the guidance of the teacher. 

Learning Outcomes

Traditionally, in the Civil Engineering courses the fundamental concepts of Solid Mechanics and Fluid Mechanics area teached in separate units, In contrast, in this curricular unit, the student is provided, in a unified manner, with the basic concepts of Solid and Fluid Mechanics, that will be the fudamental basis for the disciplines of the Structural Mechanics and Structures, Geotechnics and Hidraulic areas. In this way greater economy and language homogeneity is achieved in the learning proces of this study Cycle.

Work Placement(s)

No

Syllabus

Introduction – the concept of continuous media in classical mechanics

Elements of vector and tensor algebra

Elements of vector and tensor analysis

Kinematics – Part I: deformation

laboratory application: extensometry

Kinematics – Part II: motion

laboratory application: visualization of several types of flows

Balance and conservation laws

Theory of stress

Constitutive laws: one-dimensional rheological models; generalized Hooke's law; deformation energy; yield criteria; perfect and Newtonian fluids

laboratory application: one-dimensional tensile test of a mild steel specimen

laboratory application.

Head Lecturer(s)

Fernando Pedro Simões da Silva Dias Simão

Assessment Methods

Final assessment
Exam: 100.0%

Continuous assessment
Frequency: 100.0%

Bibliography

[1] Continuum Mechanics, A. J. M. Spencer, DoverPublications.com, 1992

[2] Introduction to Tensor Calculus and Continuum Mechanics, J.H.. Heinbockel, Trafford Pub., 2001.

[3] An Introduction to Continuum Mechanics, M. Gurtin, Elsevier, 1981.

[4] Principles of Continuum Mechanics, M.N.L. Narasimhan, John Wiley and Sons, 1993

[5] Tensor Analysis and Continuum Mechanics, W. Flugge, Springer-Verlag, 1972.

[6] A First Course in Continuum Mechanics, Y.C. Fung, 3rd ed., Prentice Hall, 1994

[7] V. Dias da Silva, Mecânica e Resistência dos Materiais, 4ª edição, Edição do Autor, Coimbra, 2013,

[8] V. Dias da Silva, Mechanics and Strength of Materials, Springer-Verlag Berlin HeidelberHeidelberg 2006,

[9] YUNUS A. ÇENGEL, JOHN M. CIMBALA, Mecânica dos Fluídos – Fundamentos e Aplicações, McGraw-Hill , 2007.

[10] John W. Rudnicki, Fundamentals of Continuum Mechanics, wiley 2014,

[[11] Ciprian D. Coman, Continuum Mechanics and Linear Elasticity, Springer 2020.