# Mechanics of Solids, Advanced Course (MSK530)

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.

Course description for study year 2022-2023

Facts

MSK530

1

10

Spring

1

Spring

English

Time table

## Content

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.

## 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

None

## Coursework requirements

Mandatory exercises, 2/3 must be approved before taking the exam

9 mandatory exercises, 2/3 must be approved before taking the exam

Mandatory work demands (such as hand in assignments, projects, etc) must be approved by subject teacher within the given deadlines.

## Course coordinator:

Dimitrios Pavlou

Mona Wetrhus Minde

## Method of work

6 hours lectures each week. Compulsory assignments.

## Open for

Structural and Mechanical Engineering - Master of Science Degree Programme Marine and Offshore Technology - Master of Science Degree Programme Exchange programme at Faculty of Science and Technology

## Course assessment

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

## Literature

The syllabus can be found in Leganto