ΑΣΥΠΤΩΤΙΚΗ ΣΥΜΠΕΡΙΦΟΡΑ ΤΗΣ ΕΝΕΡΓΕΙΑΣ ΒΙΣΚΟΕΛΑΣΤΙΚΩΝ ΚΥΜΑΤΩΝ

THIS THESIS REFERS TO THE ENERGY BEHAVIOUR OF A LINEARIZED VISCOELASTIC MODEL, IN AN ISOTROPIC AND HOMOGENEOUS MEDIUM WITH QUIET PAST, WHOSE VISCOELASTIC BEHAVIOUR IS EXPRESSED BY MEANS OF RELAXATION FUNCTION WHICH DECAY EXPONENTIALLY INTIME. A REGULAR DISTURBANCE WITH COMPACT SUPPORT IS PROPAGATING THROUGH THIS MEDIUM. THE EVOLUTION OF THE DISTURBANCE IS DESCRIBED BY A WELL- POSED CAUCHY PROBLEM FOR AN INTEGRAL -PARTIAL DIFFERENTIAL EQUATION. THE FUNDAMENTAL ENERGY THEOREM STATES THAT THE ENERGY OF THE TRANSVERSE AS WELL AS OF THE LONGITUDINAL WAVE IS PRESERVED (AND CONSEQUENTLY THE TOTAL ENERGY). THE ASYMPTOTIC ANALYSIS OF THE KINETIC AND STRAIN ENERGY INTEGRALS PROVES THE ASYMPTOTIC (AS T -> T ) EQUIPARTITION OF THE TOTAL ENERGY.

Grantor dc:publisher

University of Patras

Year dc:date

1990

Authors dc:creator

• Καρατζοπούλου-Ζαφειροπούλου, Φιλαρέτη
• Zafiropoulos, Filareti

• ΑΣΘΕΝΗΣ ΜΝΗΜΗ
• ΑΣΥΜΠΤΩΤΙΚΗ ΣΥΜΠΕΡΙΦΟΡΑ ΟΛΟΚΛΗΡΩΜΑΤΩΝ
• Βισκοελαστικότητα
• ΕΝΕΡΓΕΙΑ ΚΙΝΗΤΙΚΗ-ΕΝΤΑΤΙΚΗ
• Ισοκατανομή ενέργειας
• ΚΥΜΑ ΕΓΚΑΡΣΙΟ-ΔΙΑΜΗΚΕΣ
• Κυματική διάδοση
• Ολοκληρωτικές μερικές διαφορικές εξισώσεις
• Χαλάρωση
• ASYMPTOTIC BEHAVIOUR OF INTEGRALS
• ENERGY KINETIC-STRAIN
• EQUIPARTITION OF ENERGY
• FADING MEMORY
• Integral partial differential equations
• Relaxation
• Viscoelasticity
• Wave propagation
• WAVE-TRANSVERSE-LONGITUDINAL
• Φυσικές Επιστήμες
• Μαθηματικά
• Natural Sciences
• Mathematics

Language dc:language

gre

Identifier

10.12681/eadd/1418

OAI identifier oai:identifier

oai:10442/1418