Book description
This book presents recent advances related to the following two
topics:
- how mechanical fields close to material or geometrical
singularities such as cracks can be determined;
- how failure
criteria can be established according to the singularity degrees
related to these discontinuities.
Concerning the determination of
mechanical fields close to a crack tip, the first part of the book
presents most of the traditional methods in order to classify them
into two major categories. The first is based on the stress field,
such as the Airy function, and the second resolves the problem from
functions related to displacement fields. Following this, a new method
based on the Hamiltonian system is presented in great detail. Local
and energetic approaches to fracture are used in order to determine
the fracture parameters such as stress intensity factor and energy
release rate.
The second part of the book describes methodologies
to establish the critical fracture loads and the crack growth
criteria. Singular fields for homogeneous and non-homogeneous problems
near crack tips,
v-notches, interfaces, etc. associated with the
crack initiation and propagation laws in elastic and elastic-plastic
media, allow us to determine the basis of failure criteria.
Each
phenomenon studied is dealt with according to its conceptual and
theoretical modeling, to its use in the criteria of fracture
resistance; and finally to its implementation in terms of feasibility
and numerical application.
Contents
1. Introduction.
Part 1: Stress Field Analysis Close to the
Crack Tip
2. Review of Continuum Mechanics and the Behavior
Laws.
3. Overview of Fracture Mechanics.
4. Fracture
Mechanics.
5. Introduction to the Finite Element Analysis of
Cracked Structures.
Part 2: Crack Growth Criteria
6. Crack
Propagation.
7. Crack Growth Prediction in Elements of Steel
Structures Submitted to Fatigue.
8. Potential Use of Crack
Propagation Laws in Fatigue Life Design.
