- The goal of this course is that students understand the nature of thermal load, to learn the basic terms of thermoelasticity and the tensor way of describing the problem. - Students will be trained to model and solve some problems of thermoelasticity. - Since many of machine constructions have designed based on beams and plates, special attention will be done on the elements of this form. - Through understanding the thermoelastic processes, students will be able to properly use computer programs in this field.

- By completing the program of this course, students will learn some of the methods and procedures of scientific research. - They will introduce concepts of thermoelasticity, such as the balance of energy and entropy, the stress and strain tensor. - Students will be able to solve some specific problems by using modern analytical methods and numerical methods. - They will be introduced with the importance of the construction geometry and the appropriate boundary conditions on the construction behavior. - They will be able to relate and apply the acquired knowledge from different areas.

Introduction. Stress components in the Cartesian coordinate system. Stress tensor. Displacement equations, compatibility equations, equations of equilibrium. Energy balance. Entropy balance. Free energy. Constitutive relations. The coefficients of elasticity. Lame's constants. Generalized equation of heat conduction. The system of equations of the coupled dynamic thermoelastic problem. The boundary conditions, thermal and mechanical. Plane state of stress. Linear theory of thin thermoelastic plates.

Tensor marking method and some basic operations. Integral transform technique, finite Fourier transform and the Laplace transform. Plain state of stress and plain state of strain. Thermally loaded beams and thin plates. Application of analytical and numerical methods on solving problems of thermoelasticity.

Set by the Curriculum of the study program

Handouts from the website of the Department for Strength of constructions

Total assigned hours: 65

New material: 40
Elaboration and examples (recapitulation): 10

Auditory exercises: 0
Laboratory exercises: 0
Calculation tasks: 0
Seminar paper: 0
Project: 0
Consultations: 0
Discussion/workshop: 0
Research study work: 0

Review and grading of calculation tasks: 0
Review and grading of lab reports: 0
Review and grading of seminar papers: 5
Review and grading of the project: 5
Test: 0
Test: 0
Final exam: 5

Activity during lectures: 0
Test/test: 0
Laboratory practice: 0
Calculation tasks: 0
Seminar paper: 50
Project: 0
Final exam: 50
Requirement for taking the exam (required number of points): 50

Čukić R., Naerlović-Veljković N., Šumarac D., Thermoelasticity, Faculty of Mechanical Engineering, University of Belgrade, 1993. ISBN 86-7083-237-2 (in Serbian); Čukić R., Solutions of some problems of thermoelasticity using integral transform technique, Scientific book, Belgrade, 1979.; Nowacki W., Dynamic Problems of Thermoelasticity, P. W. N. Warszawa, 1970.; Benham P.P., Hoyle R., Thermal stress, PITMAN, London, First published 1964.