Publication detail
The Straight Path Stability of an Array of Collinear Micro-cracks Interacting with an Array of Circular Inclusions
PROFANT, T.
Czech title
Směrová stabilita kolineárních mikrotrhlin interagujících s kolineární řadou kruhových inkluzí
English title
The Straight Path Stability of an Array of Collinear Micro-cracks Interacting with an Array of Circular Inclusions
Type
conference paper
Language
en
Original abstract
A simplified mathematical model of the micro-cracking of the particle reinforced composites is investigated. The micro-cracking is represented by an array of the collinear slightly curved micro-cracks situated between neighbouring circular inclusions which exhibit different elastic properties then matrix. The model of the array of slightly curved micro-cracks is based on the already known solution to the interaction of the straight path micro-cracks and inclusions. The problem is solved using the technique of distributed dislocations and Bueckner principle. The Galerkin method and Muschelischvili complex potentials are applied to develop fundamental solution for a single dislocation situated in a general point between inclusions.
Czech abstract
A simplified mathematical model of the micro-cracking of the particle reinforced composites is investigated. The micro-cracking is represented by an array of the collinear slightly curved micro-cracks situated between neighbouring circular inclusions which exhibit different elastic properties then matrix. The model of the array of slightly curved micro-cracks is based on the already known solution to the interaction of the straight path micro-cracks and inclusions. The problem is solved using the technique of distributed dislocations and Bueckner principle. The Galerkin method and Muschelischvili complex potentials are applied to develop fundamental solution for a single dislocation situated in a general point between inclusions.
English abstract
A simplified mathematical model of the micro-cracking of the particle reinforced composites is investigated. The micro-cracking is represented by an array of the collinear slightly curved micro-cracks situated between neighbouring circular inclusions which exhibit different elastic properties then matrix. The model of the array of slightly curved micro-cracks is based on the already known solution to the interaction of the straight path micro-cracks and inclusions. The problem is solved using the technique of distributed dislocations and Bueckner principle. The Galerkin method and Muschelischvili complex potentials are applied to develop fundamental solution for a single dislocation situated in a general point between inclusions.
Keywords in Czech
micro-cracking
Keywords in English
micro-cracking
RIV year
2004
Released
10.05.2004
Publisher
Institute of Thermomechanics, ASCR
Location
Praha
ISBN
80-85918-88-9
Book
Inženýrská mechanika-Engineering Mechanics 2004
Pages from–to
243–254
Pages count
11
BIBTEX
@inproceedings{BUT17034,
author="Tomáš {Profant},
title="The Straight Path Stability of an Array of Collinear Micro-cracks Interacting with an Array of Circular Inclusions",
booktitle="Inženýrská mechanika-Engineering Mechanics 2004",
year="2004",
month="May",
pages="243--254",
publisher="Institute of Thermomechanics, ASCR",
address="Praha",
isbn="80-85918-88-9"
}