Some results in linear theory of thermomicrostretch elastic solids. (English) Zbl 1061.74003

Ciarletta, Michele; Scalia, Antonio

Meccanica 39, No. 3, 191-206 (2004).

Summary: The aim is to study the spatial and temporal behavior of thermoelastodynamic processes for microstretch continuum materials. The spatial behavior is described by establishing estimates of Saint-Venant type and Phragmén-Lindelöf type for bounded and unbounded bodies, respectively, with decay rate being dependent or independent of time, while the temporal behavior is studied by establishing the relations describing the asymptotic behavior of the Cesàro means of the different parts of the total energy.

MSC:

74A35	Polar materials
74F05	Thermal effects in solid mechanics
74H40	Long-time behavior of solutions for dynamical problems in solid mechanics

Keywords:

Cesàro means; asymptotic partition of energy