LehreKursbeschreibungen
Mechanics of Advanced Materials

Mechanics of Advanced Materials

OVERVIEW

This course discusses the mechanics of materials by means of theoretical approaches, technical results and computational methods based on a continuum mechanical framework. This course aims to bridge the gap between models and physical mechanisms occurring in crystals, concretes, composites, metals and biological tissues. Graduates of this course are familiar with the mathematical concepts behind constitutive models, being able to discuss their limitations. They are qualified for the computational implementation of constitutive models and for the assessment of the correctness of computational results. They are able to verify and validate constitutive models, to obtain parameters from mechanical tests and to propose experimental campaigns for model calibration. They are experienced on understanding and discussing the published literature in the field and on defending their findings by an oral presentation.

CONTENTS

This module tackles theoretical approaches, technical results and computational methods for the description of material constitutive behavior, starting from the multiscale arrangement of constituents and accounting for possible multiphysics effects. In detail, the following issues are discussed:

  1. Review of thermodynamical principles for the development of constitutive models.
  2. Technical results for the homogenization of composite materials. Laminate theory

  3. Computational homogenization techniques.

  4. Hyperelastic constitutive models under finite-strain regime.

  5. Models for specific classes of materials in elastic regime: crystals, polymers and rubber, biological tissues.

  6. Multiphysics material response: concrete; shape memory alloys; piezoelectric materials; biological tissues.

COURSE INFORMATION

Language

  • English

Further related courses

  • Finite Elements
  • Continuum Mechanics

Examination

  • Semester project
  • Oral discussion
  • Students are guided by practical excercises, assigning specific computational projects to be discussed for the oral examination.