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Mesoscopic theory of microcracks

Papenfuss C., Van P., Muschik W.

Archives of Mechanics

2003

Vol. 55, nr 5-6

481-499

The mesoscopic concept is a way to deal with complex materials with an internal structure within continuum mechanics. It consists of extending the domain of the balance equations by mesoscopic variables and of introducing a local distribution function of these variables as a statistical element. In our case microcracks are modelled as penny-shaped and are completely characterized by their diameter and the unit normal to the crack surface. Two examples of crack dynamics are given as well as a possible definition of a damage parameter. Orientational order parameters (fabric-alignment tensors) are defined and balance-like dynamic equations for them are derived.

Are there processes in thermostatics?

Van P.

Zeszyty Naukowe Politechniki Świętokrzyskiej. Mechanika

1998

Z. 66

237-246

Finite time thermodnamics introduces the time into thermostatics using "equilibrium stste variables as functions of time. However, introducing the time into a static theory arises some conceptual difficulties. We need to reinterpret and formulate "equilibrium thermodynamics" as a dynamic theory, formulate a dynamical law, prescribe some requirements on the dynamical quantities, etc.. This has been done by "ordinary thermodynamics" and can be a theoretical background to any "finite time" or "endoreversible" calculation.