Publication detail
Non-linear affinity in Mohr s plane
MALÁŠEK, J.
Czech title
Nelineární afinita v Mohrově rovině
English title
Non-linear affinity in Mohr s plane
Type
conference paper
Language
en
Original abstract
Mechanical properties of particular materials (also granular and powdery materials, dispersions, suspensions, liquids with high viscosity,) are usually described by boundary functional dependences of shear stresses and direct stresses – so called material characteristics. These material characteristics are envelope curves of all limiting Mohr s circles. If the material characteristic is a linear function – all limiting Mohr s circles are linear affine, if the material characteristic is a non-linear function – all limiting Mohr s circles and respective stress tensors are non-linear affine. This non-linear affinity can be mathematically described.
Czech abstract
Mechanické vlastnosti partikulárních materiálů (též zrnitých a práškových materiálů, disperzí, suspenzí, kapalin s vysokou viskozitou) jsou obvykle popsány mezními funkčními závislostmi smykových a normálových napětí – nazýváme je materiálovými charakteristikami.Tyto materiálové charakteristiky jsou obalovými křivkami všech mezních Mohrových kružnic. Pokud je materiálová charakteristika lineární funkcí – všechny mezní Mohrovy kružnice jsoul lineárně afinní, pokud je materiálová charakteristika nelineární funkcí – všechny mezní Mohrovy kružnice jsoul nelineárně afinní. Tato nelineární afinita může být matematicky popsána.
English abstract
Mechanical properties of particular materials (also granular and powdery materials, dispersions, suspensions, liquids with high viscosity,) are usually described by boundary functional dependences of shear stresses and direct stresses – so called material characteristics. These material characteristics are envelope curves of all limiting Mohr s circles. If the material characteristic is a linear function – all limiting Mohr s circles are linear affine, if the material characteristic is a non-linear function – all limiting Mohr s circles and respective stress tensors are non-linear affine. This non-linear affinity can be mathematically described.
Keywords in Czech
Mohrova kružnice, Mohrova rovina, materiálová charakteristika, afinita.
Keywords in English
Mohr s circle, Mohr s plane, material characteristic, affine.
RIV year
2007
Released
17.05.2007
Publisher
Institute of Thermomechanics Academy of Sciences of the Czech Republic, v.v.i., Prague
Location
Praha
ISBN
978-80-87012-06-2
Book
Engineering Mechanics 2007
Pages from–to
171–172
Pages count
2
BIBTEX
@inproceedings{BUT24037,
author="Jiří {Malášek},
title="Non-linear affinity in Mohr s plane",
booktitle="Engineering Mechanics 2007",
year="2007",
month="May",
pages="171--172",
publisher="Institute of Thermomechanics Academy of Sciences of the Czech Republic, v.v.i., Prague",
address="Praha",
isbn="978-80-87012-06-2"
}