Publication detail
Systemic approach to modelling of constitutive behaviour of various types of matter. Part II - combined constitutive models in solid mechanics.
BURŠA, J. JANÍČEK, P.
Czech title
Systémový přístup k modelování konstitutivního chování různých látek. Část II - kombinované konstitutivní modely v mechanice těles.
English title
Systemic approach to modelling of constitutive behaviour of various types of matter. Part II - combined constitutive models in solid mechanics.
Type
journal article - other
Language
en
Original abstract
The paper presents a systemic overview of constitutive models, i.e. mathematical or graphical representations of responses of a matter initiated by its activation coming from its surroundings (especially stress- or strain-controlled loadings in mechanics). Various states of matter showing different behaviour are related with different distances among particles of the matter and their mutual movements. However, in opposite to the previous centuries, when different approaches and methods were developed and used for description of various types of matters (in solid mechanics, hydromechanics, thermodynamics etc.), recently more and more often solid mechanics meets materials showing some features of fluids (e.g. creep, flow), and interactions of matters in different states (e.g. solid-liquid) need to be solved as well. The presented paper, together with another consequent one (Part II), creates a set of two related articles aiming at facilitating you the orientation in various types of constitutive equations, It presents graphical representations of basic mechanical responses (stress as a function of strain magnitude and strain rate, creep, stress relaxation), as well as their simplified mathematical substantiation. Some more complex types of constitutive models will be presented in part II.
Czech abstract
Článek přináší ssytémový přehled různých typů konstitutivního chování látek a jejich matematického popisu. Část I se zabývá jednoduššími konstitutivními modely.
English abstract
The paper presents a systemic overview of constitutive models, i.e. mathematical or graphical representations of responses of a matter initiated by its activation coming from its surroundings (especially stress- or strain-controlled loadings in mechanics). Various states of matter showing different behaviour are related with different distances among particles of the matter and their mutual movements. However, in opposite to the previous centuries, when different approaches and methods were developed and used for description of various types of matters (in solid mechanics, hydromechanics, thermodynamics etc.), recently more and more often solid mechanics meets materials showing some features of fluids (e.g. creep, flow), and interactions of matters in different states (e.g. solid-liquid) need to be solved as well. The presented paper, together with another consequent one (Part II), creates a set of two related articles aiming at facilitating you the orientation in various types of constitutive equations, It presents graphical representations of basic mechanical responses (stress as a function of strain magnitude and strain rate, creep, stress relaxation), as well as their simplified mathematical substantiation. Some more complex types of constitutive models will be presented in part II.
Keywords in Czech
konstitutivní modely, mechanické chování, viskoelastický, viskoplastický, elasticko-viskoplastický.
Keywords in English
mechanical behaviour, constitutive models, viscoelastic, viscoplastic, elastic-viscoplastic.
RIV year
2009
Released
20.12.2009
Publisher
Engineering Academy of the Czech Republic
Location
Brno
ISSN
1802-1484
Journal
Engineering Mechanics
Volume
16
Number
5
Pages from–to
1–17
Pages count
17
BIBTEX
@article{BUT47441,
author="Jiří {Burša} and Přemysl {Janíček},
title="Systemic approach to modelling of constitutive behaviour of various types of matter. Part II – combined constitutive models in solid mechanics.",
journal="Engineering Mechanics",
year="2009",
volume="16",
number="5",
month="December",
pages="1--17",
publisher="Engineering Academy of the Czech Republic",
address="Brno",
issn="1802-1484"
}