CIEM1110

This book is used for weeks 1-4 of Unit 1 Numerical modeling of construction materials of the module CIEM1110.

Click the dropdown blocks below to find a schedule for module activities per week. Clicking the links will take you to the relevant content pages.

Week 1

Contents

• Self study (before lecture 1.3): MUDE recap + MUDE additional material

  1. Strong form of the 1D Poisson equation

  2. From strong to weak form

  3. From weak to discrete form

  4. Finite element implementation

  5. Elements and shape functions

  6. Numerical integration

  7. Poisson equation in 2D

  8. Isoparametric mapping

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• Lecture 1.1 - Introduction to the module (slides)

  1. Tensor basics

  2. Linear algebra

  3. Tensor calculus

  4. Strong form for linear elasticity

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• Lecture 1.2 - Workshop: Introduction to pyJive (slides)

  1. Workshop: Introduction to pyJive

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• Lecture 1.3 - MUDE recap, FEM for elastostatics (slides)

  1. Strong form for linear elasticity

  2. From strong to discrete form

Week 2

Contents

• Lecture 2.1 - Workshop: Boundary conditions in pyJive (slides)

  1. Pyjive workshop: Applying constraints

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• Lecture 2.2 - Diffusion (slides)

  1. Semi-discrete form for diffusion

  2. Time stepping algorithms for diffusion

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• Lecture 2.3 - Workshop: Diffusion

  1. ../dynamics/Exercises/pyjive_diffusion

Week 3

Contents

• Lecture 3.1 - Nonlinear FEM(slides)

  1. Towards nonlinear problems

  2. Linearized discrete form

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• Lecture 3.2 - Path following, Workshop: Nonlinear FEM (slides)

  1. Incremental-iterative algorithms

  2. ../solid_nonlinear/Exercises/pyjive_nonlinmodule

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• Lecture 3.3 - Nonlinear material models (slides)

  1. Material non-linearity

Week 4

Contents

• Lecture 4.1 - Workshop: Nonlinear material models (slides)

  1. ../solid_nonlinear/Exercises/pyjive_material

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• Lecture 4.2 - Introduction to viscoelasticity (slides)

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• Lecture 4.3 - Workshop with assignment: Viscoelasticity in pyJive (slides)