EG5512 - Non Linear Continuum Mechanics
| Credit points: | 03 |
| Year: | 2005 |
| Student Contribution Band: | Band 2 |
| Administered by: |
Topics include: Introduction to non linear continuum mechanics: categories of non linear analysis, alternative strain and stress methods, simply non linear truss analysis, the Newton-Raphson solution for a simple 1 DOF truss and linearization. Deformation and strain: material and spatial descriptions of motion, Lagrangian and Eulerian coordinate systems, deformation gradient and strain tensors, linear strain and linear spin, volicity gradient, rate of deformation, spin tensor and rates of strain, natural strain, and volume and area relations. Stress and non linear equilibrium equations: Cauchy stress tensor, Eulerian equilibrium and virtual velocity equations, work conjugacy, transformed equilibrium and virtual velocity equation, and the various forms of Kirchhoff and Piola-Kirchhoff stress tensors. Hyperelasticity: the elasticity tensor and isotropic elasticity. Linearized equilibrium equations: the Newton-Raphson solution, linearized Eulerian equilibrium equation, equilibrium and total potential energy. Discretization and solution of equilibrium equations: kinematics, equilibrium, linearized equilibrium and the Newton-Raphson iterative solution.
Learning Outcomes
- To understand how finite deformation problems can be established and solved numerically using the finite element method;
- To develop an understanding of the fundamentals of finite deformation analysis and to understand why such an analysis is non linear.
Graduate Qualities
- The ability to define and to solve problems in at least one discipline area;
- The ability to calculate, produce, interpret and communicate numerical information;
- The ability to select and use appropriate IT tools;
- The ability to use a variety of media and methods to retrieve, analyse, evaluate, organise and present information;
- The ability to learn independently and in a self-directed manner.
| Prerequisites: | EG5501 and EG5502 and EG5504 and EG5511 |
Availabilities | |
| , , Study Period 6 | |
| Census Date 08-Jul-2005 | |
| Face to face teaching 20-Jun-2005 to 08-Jul-2005 | |
| Coordinator: | jc146723 |
| Contact hours: |
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| Assessment: | (50%); (50%). |
Note: Minor variations might occur due to the continuous Subject quality improvement process, and in case of minor variation(s) in assessment details, the Subject Outline represents the latest official information.