Mechanics of Deformable Systems - LEB


Biomedical Engineering

Curricular Unit (UC)

Mechanics os Deformable Systems

Mandatory  x
Scientific Area  EB Category  

Course category: B - Basic; C - Core Engineering; E - Specialization; P - Complementary.

Year: 2nd Semester: 2nd ECTS: 6 Total Hours: 155
Contact Hours T: 22.5 TP: 45 PL: S: OT:2
Professor in charge

 Maria Amélia Ramos Loja

T - Lectures; TP - Theory and practice; PL - Lab Work; S - Seminar; OT - Tutorial Guidance.

  • Learning outcomes of the curricular unit:

    This curricular unit aims to transmit to students the fundamental concepts of mechanics of deformable bodies and fluid mechanics, necessary for an adequate perception of the phenomena involved in each of these areas. In the context of the deformable bodies’ mechanics, one promotes the understanding of the mechanical behavior of structure, components or devices, whereas in the fluid mechanics field, this medium characteristics and its dynamic and static performance are analyzed.

    This unit habilitates students for a multidisciplinary understanding of these knowledge areas and for its articulated use in situations where this is required.

    Additional objectives of this unit are related to the development of skills concerning the modeling of biomedical components, by using resources that range from symbolic computation resources to the utilization of simulation software applications specifically designed either for the mechanical behavior of deformable solids and for fluid flows’ analyses.

  • Syllabus:
    1. Introduction to elasticity theory.
    2. Constitutive relations. Mechanical strength and stiffness. Allowable stresses and safety coefficients.
    3. Axially loaded components: Normal stresses and shear stresses. Strains. Illustrative examples using symbolic computation and simulation software.
    4. Components submitted to torsion: Shear stresses and strains. Illustrative examples using symbolic computation and simulation software.
    5. Transversally loaded components: Shear forces and bending moments. Stresses and strains. Illustrative examples using symbolic computation and simulation software.
    6. Thin-walled shells under internal pressure: Membrane stresses and equivalent stresses.
    7. Fluid characteristics. Fluid mechanics fundamentals. Kinematics. Viscosity. Pressure gradients’ distributions.
    8. Conservation laws. Navier-Stokes equations. Illustrative examples using symbolic computation and simulation software for fluid flows’ characterization.
  • Demonstration of the syllabus coherence with the curricular unit's objectives.

    The fundamental concepts of the syllabus are introduced in classes’ context, being whenever possible, associated to real systems. This association shows to allow for a faster understanding of the qualitative and quantitative aspects of the phenomena.

    The sequence of the syllabus topics allows to students a progressive understanding of the mechanical behavior of the biomedical components and devices as well as the gradual perception of the fluid actions in the surrounding media.

    The comprehension of these interactions, which are established among the different topics of this curricular unit, support the essential methodologies used for the achievement of the fundamental objectives.

    The works to be developed and the use of computational tools, that go from the use of symbolic computation resources to simulation software application studies, enable a better and a faster global and multidisciplinary perception of the physical phenomena involved.

  • Teaching methodologies (including evaluation):

    Lecturing classes have a hybrid theoretical and practical character. By reading the bibliographic references recommended, the student is complementarily introduced to each syllabus topic. After the exposition of theoretical subjects, illustrative examples are considered to consolidate the concepts. Practical classes are devoted to solving problems, where the students will apply the acquired knowledge skills. In complex cases or in cases with greater mathematical/graphical requirements, computational resources of different nature, will be used. Some of the classes may involve, carrying out laboratorial works, where the coherence and characterization of eventual deviations between the models and the real physical phenomena will be analyzed.

    The assessments may be done in a continuous form or via final examination. The approval in this curricular unit, implies that a final classification, equal or greater to 9.5 values in a [0-20] scale, is achieved.

  • Demonstration of the coherence between the teaching methodologies and the learning outcomes.

    In teaching methodologies, one considers different approaches that we understand enabling to achieve the objectives of the present curricular unit.

    Depending on the characteristics of the concepts that we need to transmit, theoretical or theoretical/practical classes will be used. These classes constitute as a coherent and logically articulated set, in order to habilitate the students not only to the comprehension of the fundamental concepts associated to the syllabus topics but also to its application to real cases.

    In theoretical and theoretical/practical classes one will use the capabilities of multimedia systems, as well as symbolic computation applications and specific simulation software. 

  • Main Bibliography:
    1. Introduction to Biomedical Engineering: John D. Enderle, Susan M. Blanchard, Joseph D. Bronzino, Academic Press Elsevier
    2. Mechanics of Materials: Russel C. Hibbeler, Prentice Hall
    3. Mechanics of Materials:  A. C. Ugural, McGraw-Hill.
    4. Fluid Mechanics: Frank M. White, Springer
    5. Applied Biofluid Mechanics, L. Waite and J. Fine, McGraw-Hill
    6. Apontamentos e slides dos docentes da unidade curricular.