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
Rodrigo de Moura Gonçalves, Zuzana Dimitrovova
Hours
Weekly - 3
Total - 50
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
This Curricular Unit (UC) requires attendance.
To obtain it, attendance at least 2/3 of the theoretical-practical classes taught is required. Students who obtained attendance in the 2023/24 academic year and students with special status that exempts them from attending classes are exempt from this condition.
Students without attendance will not be graded.
The assessment of this Curricular Unit (UC) has two components: theoretical-practical and summative assessment.
Theoretical-practical component (TP): During the semester, two tests will be carried out, each lasting 1h30m, each covering approximately half of the topics. There will also be a 3h00 final exam, covering all the topics. This exam is divided into two parts (the 1st, corresponding to the 1st test, and the 2nd, corresponding to the 2nd test).
Summative assessment component (AS): This component will take into account exercises to be carried out online, which will be graded from 0 to 20 points.
Online exercises: Students can complete online exercises 6 times throughout the semester, corresponding to the end of each main content. These assessment moments will be previously agreed with the students and will be carried out online, using the Moodle platform. For the AS grade, an average of the 4 best grades will be used. Students who do not complete at least 4 exercises will not be awarded the AS grade.
The final classification of the UC is obtained through the following expression:
Final Classification = max(0.9 x TP + 0.1 x AS, TP).
Approval in this UC is the result of obtaining a Final Grade of no less than 9.5 points.
For exams, the use of any support material is not permitted except the calculator (non-graphic, without programming and data storage capabilities) and the form provided during the test.
Prior registration for all face-to-face assessment elements is mandatory.
Finally, attention is drawn to the following point of the assessment regulations: When taking any test, Students must also take into account the provisions of paragraph 3 of article 10 of the FCT NOVA Assessment Regulations: “When the existence of fraud or plagiarism is proven, in any of the assessment elements of a UC, the students directly involved will be failed in the CU, (…).”
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