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.

Original Title

Systemic approach to modelling of constitutive behaviour of various types of matter. Part II - combined constitutive models in solid mechanics.

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.

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

mechanical behaviour, constitutive models, viscoelastic, viscoplastic, elastic-viscoplastic.

RIV year

2009

Released

20.12.2009

Publisher

Engineering Academy of the Czech Republic

Location

Brno

Pages from

1

Pages to

17

Pages count

17

Documents

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.",
  annote="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.",
  address="Engineering Academy of the Czech Republic",
  chapter="47441",
  institution="Engineering Academy of the Czech Republic",
  journal="Engineering Mechanics",
  number="5",
  volume="16",
  year="2009",
  month="december",
  pages="1--17",
  publisher="Engineering Academy of the Czech Republic",
  type="journal article - other"
}