Unit Name

FINITE ELEMENT METHOD

Unit Code

MME603

Unit Duration

12 weeks

Award

Master of Engineering (Mechanical) Duration 2 years

Year Level

Two

Unit Creator/Reviewer

Shailesh Vaidya

Core/Elective

Core

Pre/Co-requisites

All MME50X units (nested Graduate Diploma)

Credit Points

3

Masters total course credit points = 48

(12 credits (Thesis) + 3 credits x 12 (units))

Mode of Delivery

On-Campus or Online

Unit Workload

Student workload including “contact hours” = 10 hours per week: Lecture - 1 hour

Tutorial Lecture - 1 hours

Practical / Lab - 1 hour (where applicable) Personal Study recommended - 7 hours

Unit Description and General Aims

This unit will serve as an advanced course in Finite Element Method. This unit introduces finite element methods for the analysis of solid and structural problems. Steady-state, transient, and dynamic conditions are considered. Finite element methods and solution procedures for linear analyses are presented using largely physical arguments. The assessments and projects involve use of the general purpose finite element analysis program. Applications include finite element analyses, modelling of problems, and interpretation of numerical results.

Learning Outcomes

On successful completion of this Unit, students are expected to be able to:

  1. Evaluate concepts of stress, strain, and elasticity.

  2. Develop a strong physical and conceptual understanding of Finite Element Method including governing equations for structural problems

  3. Analyse practical application of FEA in industrial systems and other areas of engineering practice

  4. Formulate practical industrial problems so as to enable students to apply FEA theory and solve equations to obtain solutions

  5. Evaluate the theoretical concepts of FEA as related to structural and heat transfer problems and formulating problems based on loads and constraints (boundary conditions)

    Professional Development

    Completing this unit may add to students professional development/competencies by:

    1. Fostering the personal and professional skills development of students to:

      1. Be adaptable and capable 21st century citizens, who can communicate effectively, work collaboratively, think critically and innovatively solve complex problems.

      2. Equipping individuals with an increased capacity for lifelong learning and professional development.

      3. Planning and organising self and others

      4. Instilling leadership qualities and a capacity for ethical and professional contextualization of knowledge

    2. Enhancing students’ investigatory and research capabilities through:

      1. Solving complex and open-ended engineering problems

      2. Accessing, evaluating and analysing information

      3. Processes and procedures, cause – effect investigations

    3. Developing the engineering application abilities of students through:

      1. Assignments

      2. Labs / practical / case studies / self-study (where applicable)

Engineers Australia

The Australian Engineering Stage 1 Competency Standards for the Professional Engineer, approved as of 2013. This table is referenced in the mapping of graduate attributes to learning outcomes and via the learning outcomes to student assessment.

Stage 1 Competencies and Elements of Competency

1.

Knowledge and Skill Base

1.1

Comprehensive, theory based understanding of the underpinning natural and physical sciences and the engineering fundamentals applicable to the engineering discipline.

1.2

Conceptual understanding of the mathematics, numerical analysis, statistics, and computer and information sciences which underpin the engineering discipline.

1.3

In-depth understanding of specialist bodies of knowledge within the engineering discipline.

1.4

Discernment of knowledge development and research directions within the engineering discipline.

1.5

Knowledge of engineering design practice and contextual factors impacting the engineering discipline.

1.6

Understanding of the scope, principles, norms, accountabilities and bounds of sustainable engineering practice in the specific discipline.

2.

Engineering Application Ability

2.1

Application of established engineering methods to complex engineering problem solving.

2.2

Fluent application of engineering techniques, tools and resources.

2.3

Application of systematic engineering synthesis and design processes.

2.4

Application of systematic approaches to the conduct and management of engineering projects.

3.

Professional and Personal Attributes

3.1

Ethical conduct and professional accountability.

3.2

Effective oral and written communication in professional and lay domains.

3.3

Creative, innovative and pro-active demeanour.

3.4

Professional use and management of information.

3.5

Orderly management of self, and professional conduct.

3.6

Effective team membership and team leadership.

Graduate Attributes

Successfully completing this Unit will contribute to the recognition of attainment of the following graduate attributes aligned to the AQF Level 9 criteria, Engineers Australia Stage 1 Competency Standards for the Professional Engineer and the Washington Accord:

Graduate Attributes

(Knowledge, Skills, Abilities, Professional and Personal Development)

EA Stage 1 Competencies

Professional Development

Learning Outcomes

A. Effective Communication

A1. Cognitive and technical skills to investigate, analyse and organise information and ideas and to communicate those ideas clearly and fluently, in both written and spoken forms appropriate to the audience.

2.2, 3.2

A,B

1, 3

A2. Ability to professionally manage oneself, teams, information and projects and engage effectively and appropriately across a diverse range of international cultures in leadership, team and individual roles.

2.4, 3.2, 3.4,

3.5, 3.6

A

4

B. Critical Judgement

B1. Ability to critically analyse and evaluate complex information and theoretical concepts.

1.1, 1.2, 1.3,

2.1

B

2, 5

B2. Ability to creatively, proactively and innovatively apply theoretical concepts, knowledge and approaches with a high level of accountability, in an engineering context.

1.5, 2.1, 3.3,

3.4

A, C

3, 5

C. Design and Problem Solving Skills

C1. Cognitive skills to synthesise, evaluate and use information from a broad range of sources to effectively identify, formulate and solve engineering problems.

1.5, 2.1, 2.3

B, C

2, 3, 5

C2. Technical and communication skills to design complex systems and solutions in line with developments in engineering professional practice.

2.2, 2.3

A, B

3, 5

C3. Comprehension of the role of technology in society and identified issues in applying engineering technology ethics and impacts; economic; social; environmental and sustainability.

1.5, 1.6, 3.1

A

4

D. Science and Engineering Fundamentals

D1. Breadth and depth of mathematics, science, computer technology and specialist engineering knowledge and understanding of future developments.

1.1, 1.2, 1.3,

1.4

A

1, 2

D2. Knowledge of ethical standards in relation to professional engineering practice and research.

1.6, 3.1, 3.5

A

4

D3. Knowledge of international perspectives in engineering and ability to apply various national and International Standards.

1.5, 1.6, 2.4,

3.4

A, C

2, 4

E. Information and Research Skills

E1. Application of advanced research and planning skills to engineering projects.

1.4, 2.4, 3.6

B, C

2

E2. Knowledge of research principles and methods in an engineering context.

1.4, 1.6

B

2

Unit Competency and Learning Outcome Map

This table details the mapping of the unit graduate attributes to the unit learning outcomes and the Australian Engineering Stage 1 Competency Standards for the Professional Engineer.

 

Graduate Attributes

A1

A2

B1

B2

C1

C2

C3

D1

D2

D3

E1

E2

Engineers Australia Stage 1 Competencies and Elements of Competency

1.1

   

       

       

1.2

   

       

       

1.3

   

       

       

1.4

             

   

1.5

     

 

   

   

1.6

           

 

 

2.1

   

             

2.2

       

           

2.3

       

           

2.4

 

             

 

3.1

           

 

     

3.2

                   

3.3

     

               

3.4

 

 

         

   

3.5

 

           

     

3.6

 

               

 

Unit Learning Outcomes

LO1

           

       

LO2

   

 

   

 

LO3

   

           

LO4

 

       

 

   

LO5

   

           

Student assessment

Assessment Type

(e.g. Assignment - 2000 word essay (specify topic) Examination (specify length and format))

When assessed (eg Week 5)

Weighting (% of total unit marks)

Learning Outcomes Assessed

Assessment 1

Type: Multi-choice test / Group work / Short answer questions / Role Play / Self-Assessment / Presentation

Topic: Fundamental concepts of FEA.

Week 4

20%

1,2

Assessment 2

Type: Report / Research / Paper / Case Study / Site Visit

/ Problem analysis / Project / Professional recommendation

Topic example: Formulation of a FEA Problem and obtaining a solution using commercial FEA software

Week 8

25%

3,4

Assessment 3

Type: Report (Final Project)

Finite Element Method Structural Problem/Project from Industry demonstrating the formulation of a problem based on FEA concepts and applying the theory and concepts learned to obtain a solution either theoretically or numerically through use of FEA software.

Word length: Open

Topic example: Structural Analysis of a Truss or any Mechanical Component.

Final Week

35%

4, 5

Practical Participation

Type: May be in the form of quizzes, class tests, practical assessments, remote labs, simulation software or case studies.

Example: Finite Element Methods and Analysis using FEM packages such as Beamboy, 2D Stress Anaylzer, and other available packages.

Continuous

15%

4, 5

Attendance / Tutorial Participation

Example: Presentation, discussion, group work, exercises, self-assessment/reflection, case study analysis, application.

Continuous

5%

1-5

Prescribed and recommended readings

Required textbook(s)

1. O.C. Zienkiewicz, R.L. Taylor, and J.Z. Zhu, Finite Element Method - Its Basis and Fundamentals, 6th Edition, 2008

Reference Materials

Unit Content:

One topic is delivered per contact week, with the exception of part-time 24-week units, where one topic is delivered every two weeks.

Topics 1 and 2

The Standard Discrete System and Origins of the Finite Element Method

  1. Introduction

  2. The Structural Element and The Structural System

  3. Assembly and Analysis Of a Structure

  4. The Boundary Conditions

  5. The Standard Discrete System

  6. Transformation of Coordinates

  7. Review Questions

Topics 3 and 4

Direct Physical Approach to Problems in Elasticity: Plane Stress

  1. Introduction

  2. Direct Formulation of Finite Element Characteristics

  3. Generalization to the Whole Region

  4. Displacement Approach as a Minimization of Total Potential Energy

  5. Convergence Criteria

  6. Finite Element Solution Process

Topics 5 and 6

Generalization of the Finite Element Concepts. Galerkin-Weighted Residual and Variational Approaches

  1. Introduction

  2. Integral or 'Weak' Statements Equivalent to the Differential Equations

  3. Approximation to Integral Formulations: The Weighted Residual-Galerkin Method

  4. Virtual Work as the 'Weak Form' of Equilibrium Equations for Analysis of Solids

  5. Partial Discretization

  6. Convergence

Topics 7 and 8

Problems in Linear Elasticity

  1. Introduction

  2. Governing Equations

  3. Finite Element Approximation

  4. Reporting Results: Displacements, Strains and Stresses

  5. Review Questions

Topics 9 and 10

Adaptive Finite Element Refinement

  1. Introduction

  2. Adaptive h-Refinement

  3. p-Refinement and hp-Refinement

  4. Problems

Topics 11 and 12

Project and Unit Review

In the final weeks students will have an opportunity to review the contents covered so far. Opportunity will be provided for a review of student work and to clarify any outstanding issues. Instructors/facilitators may choose to cover a specialized topic if applicable to that cohort.

The Engineering Institute of Technology (EIT) is dedicated to ensuring our students receive a world-class education and gain skills they can immediately implement in the workplace upon graduation. Our staff members uphold our ethos of honesty and integrity, and we stand by our word because it is our bond. Our students are also expected to carry this attitude throughout their time at our institute, and into their careers.