Thermoelasticity of damaged elastomers: Effective material properties

Abstract

The paper deals with an elastomer body having a random 3D-distribution of ellipsoidal mutually parallel voids. By making use of Levin’s formulae effective stiffness as well as thermal expansion tensors are found numerically. Slight disorder case differs insignificantly from parallel voids. For such a disorder these effective material features are found. Subsequently, the energy release rate is used as a triggering tool for opening and closing of existing cracks. The accomplished results make possible a further application to kinetic equations.

U radu se razmatra elastomer kao deformabilno telo sa slučajnom 3D-raspodelom paralelnih elipsoidnih šupljina. Korišćenjem Levinovih formula numerički se dobija efektivna krutost kao i tenzor koeficijenata termičkog širenja. Slučaj male neuređenosti se malo razlikuje od paralelnih šupljina. Za takvu neuređenost su nađene ove efektivne karakteristike. Zatim se brzina oslobađanja energije koristi kao uslov otvaranja i zatvaranja postojećih prslina. Dobijeni rezultati daju mogućnost primene kod rešavanja kinetičkih jednačina.