On Dissipation in Linear Thermoviscoelasticity

2005 ◽  
Vol 41 (9) ◽  
pp. 1031-1036 ◽  
Author(s):  
B. E. Pobedrya
Keyword(s):  
Linear Thermoviscoelasticity

Linear thermoviscoelasticity. Part II: Energy balances

1998 ◽  
Vol 130 (3-4) ◽  
pp. 185-197 ◽  
Author(s):  
M. Hajar ◽  
R. H. Blanc
Keyword(s):  
Linear Thermoviscoelasticity ◽  
Energy Balances

IDENTIFYING MEMORY KERNELS IN LINEAR THERMOVISCOELASTICITY OF BOLTZMANN TYPE

1994 ◽  
Vol 04 (06) ◽  
pp. 807-842 ◽  
Author(s):  
CECILIA CAVATERRA ◽  
MAURIZIO GRASSELLI
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value ◽  
A Priori ◽  
Three Dimensional ◽  
Integrodifferential Equations ◽  
Time Dependent ◽  
Evolution System ◽  
Linear Thermoviscoelasticity

The evolution of the displacement u and the temperature ϑ in a three-dimensional, linear, thermoviscoelastic material of Boltzmann type is governed by a system of two coupled Volterra integrodifferential equations. The damping mechanism is characterized by some time-dependent memory kernels which are a priori unknown. These kernels are identified via measurements of boundary tractions and localized temperatures, provided that the pair (u, ϑ) solves a suitable initial and boundary value problem for the evolution system.

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