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This is the study programme for 2019/2020. It is subject to change.

Stress and strain in three dimensions. Tensor notation, Fundamentals of linear elasticity theory. Stress function solutions in two-dimensional stress and strain problems. Contact stresses. Introduction to plasticity theory; yield criteria, flow rules, hardening, residual stresses. Advanced beam theory. Torsion. Axially symmetric deformation of pressure vessels, plates and axisymmetric shells. Plate theory. Stress concentrations. Crack propagation. Elastic instability of columns and plates.

### Learning outcome

After completing this course the students will:
• Be able to carry out stress and strain analyses of different load bearing elements and/or constructions
• Understand the response of individual elements to the applied loads in both elastic and plastic regime and after unloading
• Be able to dimension various elements of constructions subjected to a wide range of loading conditions
• Be able to apply the knowledge on calculation of real constructions

### Contents

Stress and strain in three dimensions. Tensor notation, Fundamentals of linear elasticity theory. Generalized Hooke's law. Stress function solutions in two-dimensional stress and strain problems. Energy methods (Principle of stationary potential energy, Castigliano's theorem). Contact stresses. Introduction to plasticity theory; yield criteria, flow rules, hardening, residual stresses. Advanced beam theory. Torsion. Axially symmetric deformation of pressure vessels, plates and axisymmetric shells. Plate theory. Stress concentrations. Elastic stability of columns and plates. Crack propagation and Stress Intensity Factor.

None.

### Exam

Weight Duration Marks Aid
Written exam1/14 hoursA - FBasic calculator.

### Coursework requirements

Mandatory exercises, 2/3 must be approved before taking the exam, 3 mandatory laboratory exercises
1. 9 mandatory exercises, 2/3 must be approved before taking the exam
2. 3 mandatory laboratory exercises
Mandatory work demands (such as hand in assignments, lab- assignments, projects, etc) must be approved by subject teacher within the given deadlines.

### Course teacher(s)

Course coordinator
Dimitrios Pavlou , Ljiljana Djapic Oosterkamp
Placement coordinator
Tor Henning Hemmingsen

### Method of work

6 hours lectures each week. Compulsory assignments. Compulsory laboratory exercises.

### Overlapping courses

Course Reduction (SP)
Mechanics of Solids, advanced course (MOM130_1) 10

### Open to

Master studies at the Faculty of Science and Technology

### Course assessment

By form and/or by discussions in class in accordance with university regulations.

### Literature

Boresi, A.P.: Advanced Mechanics of Materials, sixth edition, John Wiley & sons.
Fenner, R.T.: Engineering elasticity, application of numerical and analytical techniques, Ellis Horwood, 1986.
Lecure notes.

This is the study programme for 2019/2020. It is subject to change.

Sist oppdatert: 26.06.2019