The paper continues the description of constitutive behaviour of matters, the overview of which was presented in the previous part of this paper (Part I - basic and simple constitutive models). The definition and systemization of constitutive models was presented there and basic and simple models were described in detail. In the same systemic approach, combined constitutive models of materials (solid matters) are presented in this paper (Part II). It analyzes the more complex types of constitutive behaviour and presents a comprehensive overview of their responses in standard tension tests (stresses as functions of strain magnitude and strain rate), as well as the simplest mathematical interpretations of viscoelastic, elastic-plastic, viscoplastic and elastic-viscoplastic matters are presented, except for various types of anisotropic materials and their constitutive models (all the models are presented as isotropic only). On the base of both of these papers, the chapter on constitutive models was published in [1]. and Obsahuje seznam literatury
The paper presents a systemic overview of constitutive models, i.e. mathematical or graphical representations of responses of a matter iniciated 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 oppostie 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 resposnes (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. On the base of these papers, the chapter on constitutive models was published in [1]. and Obsahuje seznam literatury