ENEQ634-24X (C) General non-calendar-based 2024

Special Topic

15 points

Start Date: Monday, 19 August 2024
End Date: Sunday, 20 October 2024
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Sunday, 1 September 2024
  • Without academic penalty (including no fee refund): Sunday, 6 October 2024


Special Topic

Special Topic: Constitutive Modelling in Geomechanics

This course introduces the fundamental principles of constitutive modeling for soils. The material is introductory and should be of interest to geotechnical engineers seeking to learn about soil constitutive models for numerical modeling applications. It aims to provide participants with the necessary basic knowledge for engaging in stress-deformation analyses to solve geotechnical problems. Following an introduction to basic concepts related to stress, strain, and the general framework for elastoplastic models, where emphasis will be given to understanding the capabilities and limitations of various basic soil models, and the knowledge required for their proper calibration based on laboratory test data for sands and clays. The following outlines the range of topics covered, subject to change depending on the participants’ backgrounds and interests.

◦ Introduction to continuum mechanics: elementary tensor analysis; stresses and strains ten-
sors and their invariants; experimental motivation for mechanistic modeling of stress-strain. [∼5 hrs]

◦ General formulation of elastoplasticity: elastic relations; elastic range, the yield surface,
and plastic loading; rate equations for the plastic strain and the internal variables; consistency
condition, loading index, plastic modulus, and complete set of equations; hardening, softening, and perfect plasticity; inversion of the stress-strain rate equations. [∼6 hrs]

◦ Fundamentals of failure criteria and cohesive-frictional plasticity: vonMises, Tresca,
Drucker-Prager, Mohr-Coulomb; non-associativity and strain-hardening; linearization of labora-
tory tests; integration for implementation in numerical programs; modeling drained and undrained, monotonic and cyclic, triaxial and simple shear loading. [∼9 hrs]

◦ Elastoplastic models for soils: critical state soil mechanics; Cam-Clay model; calibration and
practical application of soil models to simulate laboratory test data on sands and clays; specialized
anisotropic constitutive models for soils; key aspects of monotonic and cyclic loading. [∼10 hrs]

Learning Outcomes

◦ Understand the concepts of stress and strain tensors, including their invariants.

◦ Learn the fundamentals of stress-strain relationships and the framework of elastoplastic constitutive models.

◦ Apply numerical implementations of constitutive models to simulate laboratory element-level tests
on soils effectively.

◦ Assess the fundamental components of constitutive models for soils, calibrate model parameters,
and understand their practical significance.


Subject to approval of the Head of Department or the Programme Director.

Timetable 2024

Students must attend one activity from each section.

Lecture A
Activity Day Time Location Weeks
01 Monday 09:00 - 12:00 Wheki 106
19 Aug - 1 Sep
16 Sep - 22 Sep
Lecture B
Activity Day Time Location Weeks
01 Tuesday 09:00 - 12:00 Wheki 106
19 Aug - 1 Sep
16 Sep - 22 Sep
Lecture C
Activity Day Time Location Weeks
01 Wednesday 14:00 - 17:00 Wheki 106
19 Aug - 1 Sep
16 Sep - 22 Sep
Lecture D
Activity Day Time Location Weeks
01 Monday 14:00 - 17:00 Wheki 106
23 Sep - 29 Sep

Timetable Note

Lectures will be given on the following dates and times:
Lecture #1: Monday Aug. 19th, 9:00am–12:00pm
Lecture #2: Tuesday Aug. 20th, 9:00am–12:00pm
Lecture #3: Wednesday Aug. 21th, 2:00pm–5:00pm
Lecture #4: Monday Aug. 26th, 9:00am–12:00pm
Lecture #5: Tuesday Aug. 27th, 9:00am–12:00pm
Lecture #6: Wednesday Aug. 28th, 2:00pm–5:00pm
Lecture #7: Monday Sept. 16th, 9:00am–12:00pm
Lecture #8: Tuesday Sept. 17th, 9:00am–12:00pm
Lecture #9: Wednesday Sept. 18th, 2:00pm–5:00pm
Lecture #10: Monday Sept. 23rd, 2:00pm–5:00pm

Guest Lecturer

Mahdi Taiebat

Textbooks / Resources

Instructors’ hand–outs and several relevant technical papers and various chapters from the suggested books below will be introduced/used during the term.

◦ David Muir Wood (1991) Soil Behaviour and Critical State Soil Mechanics, Cambridge University
Press, ISBN 9781139878272 (eBook).

◦ David Muir Wood (2004) Geotechnical Modelling, CRC Press, ISBN 9781315273556 (eBook).

◦ A. Anandarajah (2010) Computational Methods in Elasticity and Plasticity, Springer-Verlag New
York, ISBN 978-1-4419-6379-6 (eBook).

◦ Alexander M. Puzrin (2012) Constitutive Modelling in Geomechanics, Springer, ISBN 978-3-642-
27395-7 (eBook).

◦ Teruo Nakai (2013) Constitutive modeling of geomaterials: principles and applications, CRC Press, ISBN 978-0-203-86884-3 (eBook).

Indicative Fees

Domestic fee $1,197.00

* All fees are inclusive of NZ GST or any equivalent overseas tax, and do not include any programme level discount or additional course-related expenses.

For further information see Civil and Natural Resources Engineering .

All ENEQ634 Occurrences

  • ENEQ634-24X (C) General non-calendar-based 2024