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EG5095: SOLID MECHANICS AND MATERIALS MODELLING (2014-2015)

Last modified: 28 Jun 2018 10:27


Course Overview

This course provides MEng students with the opportunity to extend their abilities to analyse the mechanical behaviour of anisotropic and heterogeneous materials and structures by using fundamental equations of solid and fluid mechanics. In particular, non-linear and non-elastic constitutive equations are examined, and the solution of Navier's equation of elasticity and Navier-Stokes equation for Newtonian fluids using the FE method is discussed. The multi-scale design of direction-specific composite materials, joining techniques and the phenomenon of internal instability are also considered.

Course Details

Study Type Undergraduate Level 5
Session First Sub Session Credit Points 15 credits (7.5 ECTS credits)
Campus None. Sustained Study No
Co-ordinators
  • Dr Oleksandr Menshykov

What courses & programmes must have been taken before this course?

None.

What other courses must be taken with this course?

None.

What courses cannot be taken with this course?

None.

Are there a limited number of places available?

No

Course Description

The course will commence with an introduction to the tensor calculus, and its application for the generalized formulation of the conservation laws and constitutive equations for solids and fluids. Subsequently, the finite elements techniques will be examined for the case of the Navier’s equation. The final part of the course will be focused on the modelling and design of direction-specific composite materials.

Further Information & Notes

A range of techniques for analysing the mechanical behaviour of continuous and heterogeneous materials and structures is studied. Fundamental equations of solid and fluid mechanics are re-examined and a unified treatment of elasticity and flow of Newtonian fluids is given. The solution of Navier's equation of elasticity and Navier-Stokes equation for Newtonian fluids using the extremum method is discussed. The examples of non-linear and non-elastic constitutive equations are examined. The manufacturing of heterogeneous materials, their classification and use in construction are reviewed, with the particular focus on the emerging class of nanomaterials and nanotechnologies. The stress strain relations for different types of heterogeneous materials and their applications to the assessment of fracture and damage tolerance of heterogeneous engineering structures are presented. The compressive behaviour of direction-specific materials and the phenomenon of internal instability are discussed. The standard approaches to design of composite structures are introduced to the students. The joining technologies for fibre reinforced plastics and metal matrix composites are compared. The concept of multi-scale modelling of materials and structures is outlined.

Contact Teaching Time

Information on contact teaching time is available from the course guide.

Teaching Breakdown

More Information about Week Numbers


Summative Assessments

1st Attempt: 1 three-hour written examination (100%).

Resit: None.

Formative Assessment

There are no assessments for this course.

Feedback

Students can receive feedback on their progress with the Course on request at the tutorial/feedback sessions.  There will be tutorial sessions dedicated solely to feedback on sample/past exam papers towards the end of the course.

Course Learning Outcomes

None.

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