Continuum Mechanics
Objectives
Basic notions of Continuum Mechanics will be presented to students, namely concepts of continuum substance, stress, strain and constitutive relations will be introduced. Geometrical and physical linearity, principle of superposition, classical formulation of boundary-value problem and methods of its resolution will be explained in view of firm preparation of students for Mechanics of Materials and other related fields of study. Strain energy and principal of virtual work will also be explained, in order to establish basis for variational principles and consequently prepare students for further courses of Numerical Methods and especially of Finite Element Method.
General characterization
Code
12164
Credits
3.0
Responsible teacher
João Carlos Gomes Rocha de Almeida, Zuzana Dimitrovova
Hours
Weekly - 3
Total - 61
Teaching language
Português
Prerequisites
It is assumed that the students have acquired the concepts taught in Linear Algebra and Statics.
Bibliography
V. Dias da Silva, "Mechanics and Strength of Materials", 2006, Springer
Teaching method
Teaching involves lectures and problem-solving sessions. There are also office hours available to clarify some concepts and students’ doubts. Lectures intend teaching of fundamental theoretical concepts, illustrating their application on simple problems relevant for comprehensive understanding. Lectures are given in PowerPoint presentations, prepared by instructors. Students have printed version available during the respective lecture. Problem solving sessions complement the theoretical concepts.
Evaluation method
n.a.
Subject matter
1. Mass geometry
2. Concept of continuum matter
3. Cartesian tensors, tensor calculus
4. Stress
5. Strain
6. Material behavior
7. Principle of virtual work