Course Details

1. Discuss the terms elastic-perfectly plastic, kinematic hardening, isotropic hardening, Bauschinger effect, hysteresis loop.
2. Identify appropriate failure criteria, relevant to simulation, for structural materials.
3. Specify appropriate material properties and constitutive laws for models, which are consistent with the materials and environments being analysed
4. Assess the significance of simplifying material behaviour on the objectives of analyses.
5. Assess the need for verification of material models.

Introduction: need for and requirements of material models, approximation of real behaviour.

Elastic models: linear and non-linear elasticity, anisotropy.

Elastoplastic models: yield criteria, plastic flow models, associated plasticity, rheology, concrete plasticity model.

Kinetics and microstructure modelling:simulation of hydration kinetics, thermodynamic stability in the pore structure, modelling the hardened properties of the microstructure

Analysis of material failure: loss of stability, diffuse and local failure.

Elastic damage models:degradation of stiffness due to progressive damage, scalar damage factor.

Incorporation into analysis:incorporation into general stress space, approximations on implementation into analysis software.

• “An Introduction to the Use of Material Models in FE”, Nawal K Prinja and Anup K Puri, NAFEMS.
• “Materials Science and Engineering An Introduction”, William D. Callister, Jnr.
• “Modelling of Concrete Performance – Hydration and Microstructure”, K. Maekawa
• “Numerical Modelling of Concrete Cracking”, G. Hofstetter and G. Meschke

• “Nonlinear Finite Element Analysis of Solids and Structures”, Crisfield MA, John Wiley & Sons.
• “Constitutive Modelling of High Performance Concrete”, Fédération Iinternationale du Béton (fib) – State of the art report.

The course will be presented through theoretical lectures in class. The lectures will present to the student the course content and allow for questions. Part of the material will be presented using visual aids. Lecture notes, project assignments, practice questions, feedback and additional material such as site videos and photographs will be available to students at any time on the e-learning Moodle platform. The learning process will be enhanced with the requirement from the student to solve exercises. These include self-evaluation exercises which will be solved in class. These exercises will not be graded. Design projects will be given as part of their assessment. The instructor will be available to students during office hours or by appointment in order to provide any additional tutoring.