| Linear elasticity is the core language of engineering mechanics: a general-purpose framework that supports many applications without relying on additional simplifying assumptions. Why this course: It enables accurate modelling and fundamental interpretation of: pressure vessels (spherical and cylindrical), bending and torsion of bars and beams, Airy stress functions and plane traction problems, along with an in-depth understanding of the stress/strain states in 3D components and thin structures. In short, this course covers the complete linear elastic theory you can use directly, as a robust baseline model for real-world engineering systems, before introducing approximations or reduced-order theories. |
This course introduces the concepts of tensor algebra, kinematics, balance laws and linear elasticity. It provides a thorough derivation and explanation of the stress and strain tensors, the equilibrium equations and the constitutive equations. In its most general form, the equations are formulated with help of the fundamental concepts of tensor analysis. For isotropic materials, the resulting basic equations of linear elasticity as derived by Navier-Cauchy and Beltrami-Michell are discussed. Important solutions of these equations are analytically derived. The complete three-dimensional formulation of the constitutive equations is studied, the equations for the specialized two-dimensional theories of plane strain and plane stress are also discussed. Finally, some classical problems in linear elastostatics will be solved.
Skills to be acquired in this course are:
- Performing tensor analysis
- Defining and formulating equations concerning kinematics of deformation
- Formulation of balance laws
- Formulation and solving the constitutive equations of linear elasticity
- Solving problems in elastostatics of a linear 3D structural mechanical system.
Course highlights:
- Solid foundations in Linear Solid Mechanics
- Stress-strain tensors made intuitive
- Constitutive modelling in full generality
- Analytical solution techniques
- Hands-on classical elastostatics
For whom:
- Mechanical / civil / aerospace engineers working in structural design, simulation, or verification
- R&D professionals in materials, mechanical design, lightweight structures, pressure systems, and product development
- CAE / FEM engineers looking to strengthen fundamentals behind simulation models
- Engineers transitioning into modelling and computational mechanics
- Graduate engineers/students / PhD candidates who want a deep and structured theoretical basis for elasticity and elastostatics
From whom: Dr. Ameya Rege
Practical information: This is a regular course, in which students as well as professionals can participate. The knowledge for this course is provided in 15 lectures of 1,5 hours each. To apply and deepen the acquired knowledge and skills, 4 assignments have to be done in self-study. The exam is a check on the theoretical and practical skills and is not mandatory.
Literature: The basis of this course is the book of Continuum Mechanics of Solids by Lalit Anand and Sanjay Govindjee. A reader is provided to all participants.
Location: University of Twente, Enschede, NL
Duration: The course is scheduled annually from February till mid-April. The course requires app. 140 hours of study in total.
Costs: € 2067,15
More information:
Content of the course: Dr. Ameya Rege, ameya.rege@utwente.nl
Registration: Registration form | Faculty of Engineering Technology (ET)