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Proceedings of the Estonian Academy of Sciences

ISSN 1736-7530 (electronic)   ISSN 1736-6046 (print)
Formerly: Proceedings of the Estonian Academy of Sciences, series Physics & Mathematics and  Chemistry
Published since 1952

Proceedings of the Estonian Academy of Sciences

ISSN 1736-7530 (electronic)   ISSN 1736-6046 (print)
Formerly: Proceedings of the Estonian Academy of Sciences, series Physics & Mathematics and  Chemistry
Published since 1952
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On perturbative solutions for nonlinear waves in inhomogeneous materials; pp. 145–149

(Full article in PDF format) doi: 10.3176/proc.2010.2.13


Authors

Arvi Ravasoo

Abstract

Complex phenomena of wave–prestress and wave–material interactions are studied. Model problems of nonlinear propagation of longitudinal waves in materials (i) with inhomogeneous prestress and (ii) with weakly variable physical properties are posed. In both problems two small parameters of different physical nature appear. The problems are solved using the perturbation technique. The influence of the values of two small parameters on the content of terms of perturbative solutions is analysed. The outcome facilitates utilization of perturbative solutions in composing algorithms for ultrasonic nondestructive testing of materials with variable properties.

Keywords

solid mechanics, nonlinear elasticity, longitudinal waves, interaction, perturbative solution, nondestructive testing.

References

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Current Issue: Vol. 68, Issue 4, 2019




Publishing schedule:
No. 1: 20 March
No. 2: 20 June
No. 3: 20 September
No. 4: 20 December