2025/26 Taught Postgraduate Module Catalogue

MECH5680M Advanced Finite Element Analysis

15 Credits Class Size: 120

Module manager: Dr Marlene Mengoni
Email: M.Mengoni@leeds.ac.uk

Taught: Semester 1 (Sep to Jan) View Timetable

Year running 2025/26

Pre-requisite qualifications

Background in Solid Mechanics and Finite Element Analysis, including concepts of strain tensor and stress tensor, matrix algebra, conservation equations and principle of minimum potential energy, experience in using a Finite Element software for structural analysis.

This module is not approved as an Elective

Module summary

This module provides the advanced theoretical and practical knowledge to allow a student to competently perform complex Finite Element Methods (FEM) in structural mechanics using commercial software packages used in industry. Emphasis is given on understanding underlying theory, hypothesis, and limitations of practical solution methods.

Objectives

This module aims at developing understanding of principles underlying Finite Element Methods (FEM) for structural analysis with sources of non-linearity as well as key practical solution methods in Abaqus. By the end of the module, students will:
- have an understanding of the limitations of linear FEM for structural analysis
- be able to compute and compare non-linear measures of strain and stress, and identify their energy conjugates
- understand the principle of virtual work used to derive FEM theory in large deformations
- be able to describe the algorithms used to solve computational plasticity and other material non-linearity
- be able to identify and choose a contact algorithm best suited for a range of contact problems
- be familiar with advanced uses of FE packages, including using scripting capabilities to automate tasks
- be able to choose specific element technology required for solving problems with large deformation, incompressibility or locking
- appreciate the importance of verification and validation in practical cases
- gain understanding of range of applicability in industry.

Learning outcomes

On successful completion of the module students will have demonstrated the following learning outcomes
1. have the ability to integrate their knowledge and understanding of FE methods to solve a substantial range of engineering problems
2. be able to critically analyse FE problems with different sources of non-linearity
3. be able to extract and evaluate relevant FE model outputs for given engineering problems
4. appreciate the current practice in FEM and their limitations and be aware of developing methodologies in FEM

These module learning outcomes contribute to the following AHEP4 learning outcomes:

5. Apply a comprehensive knowledge of mathematics, statistics, natural science and engineering principles to the solution of complex problems. Much of the knowledge will be at the forefront of the particular subject of study and informed by a critical awareness of new developments and the wider context of engineering. (M1)
6. Formulate and analyse complex problems to reach substantiated conclusions. This will involve evaluating available data using first principles of mathematics, statistics, natural science and engineering principles, and using engineering judgment to work with information that may be uncertain or incomplete, discussing the limitations of the techniques employed. (M2)
7. Select and apply appropriate computational and analytical techniques to model complex problems, discussing the limitations of the techniques employed. (M3)


Skills Learning Outcomes

On successful completion of the module students will have demonstrated the following skills:

Teamwork/Collaboration, Computational mechanics

Syllabus

1. Non-linear kinematics and limitations of linear assumptions
2. Weak form of equilibrium equations in structural analysis and principle of virtual work
3. Non-linear constitutive modelling (elastoplasticity and hyperelasticity)
4. Element technology for non-linear effects (reduced integration, mixed methods, hourglass control,
5. Computational contact mechanics
6. Application of verification and validation aligned with ISO/ASME standards


Methods of Assessment

We are currently refreshing our modules to make sure students have the best possible experience. Full assessment details for this module are not available before the start of the academic year, at which time details of the assessment(s) will be provided.

Assessment for this module will consist of;

1 x Group Project
2 x Report

Teaching Methods

Delivery type Number Length hours Student hours
Lecture 16 1 16
Practical 16 1 16
Independent online learning hours 16
Private study hours 102
Total Contact hours 32
Total hours (100hr per 10 credits) 150

Opportunities for Formative Feedback

Formative feedback will be provided during practical sessions; during interactive teaching session with direct discussion of the students interpretation of theoretical content; for the coursework, with formative submission of a coursework plan.

Reading List

The reading list is available from the Library website

Last updated: 05/06/2025

Errors, omissions, failed links etc should be notified to the Catalogue Team