Topics on Structures and Geotechnics

Objectives

The purpose of the geotechnical module is to provide generalist training in the geotechnical aspects of underground works to students. To this end, several topics related to the influence of the properties of excavated massifs in the design and sizing of underground projects are studied.

In the 2nd module the main concepts of the theory of plasticity are introduced. Details about the computational implementation of elasto-plastic models are also addressed.

General characterization

Code

10795

Credits

6.0

Responsible teacher

Mário Jorge Vicente da Silva

Hours

Weekly - 8

Total - 60

Teaching language

Português

Prerequisites

Available soon

Bibliography

Borja, R.I.; Plasticity - Modeling & Computation, Springer 2013

Simo, J. & Hughes, T.; Computational inelasticity, Springer, 1998

Teaching method

The several subjects will be presented and discussed in both types
of lectures. The several concepts, principles and methods will be
presented at the theoretical classes. The students will then apply
the concepts to simple problems.

At the laboratory classes, the students will finish the problems
started at the lectures. Several applications will then be solved
using the computational tools at hand.

Outside the classes the students are encouraged to study the given
bibliography in order to mature and consolidate the acquired
knowledge.

Evaluation method

...

Subject matter

Module I:

Introduction to the problem of underground works
Deformation process around underground cavities
Geological prospecting and geomechanical characterization of the massif
Dimensioning of underground works

Module II:

1. Elastoplastic problem in one dimension

Yield function
Flow rule
Isotropic and Kinematic Hardening
Implementation algorithms
Energy and Plastic dissipation

2. Elastoplasticity for planar problems

Yield functions, J2 yield criterion
Perfect plasticity
Linear hardening model
Non-associative plasticity
Tangent elasto-plastic constitutive relation
Maximum plastic dissipation
Return mapping algorithm
Computational elasto-plasticity (implicit and explicit methods)

Programs

Programs where the course is taught:

Civil Engineering (Structures and Geotechnics)