Systémový přístup k modelování konstitutivního chování různých látek. Část I - základní a jednoduché konstitutivní modely.

Systemic approach to modelling of constitutive behaviour of various types of matter. Part I - basic and simple constitutive models.

journal article - other

en

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.

Článek přináší ssytémový přehled různých typů konstitutivního chování látek a jejich matematického popisu. Část I se zabývá jednoduššími konstitutivními modely.

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.

konstitutivní modely, mechanické chování, skupenství hmoty, ideální tuhá látka, kapalina, plyn.

constitutive models, mechanical behaviour, state of matter, perfect solid, fluid, gas.

2009

16.11.2009

Engineering Academy of the Czech Republic

Brno

1802-1484

Engineering Mechanics

16

4

1–15

15