Handling large variations in mechanics: Some applications

Rao, Balaji K and Anoop, MB and Muralidhara, S and Prasad, Raghu BK (2015) Handling large variations in mechanics: Some applications. In: SADHANA-ACADEMY PROCEEDINGS IN ENGINEERING SCIENCES, 40 (5). pp. 1579-1594.

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Abstract

There is a need to use probability distributions with power-law decaying tails to describe the large variations exhibited by some of the physical phenomena. The Weierstrass Random Walk (WRW) shows promise for modeling such phenomena. The theory of anomalous diffusion is now well established. It has found number of applications in Physics, Chemistry and Biology. However, its applications are limited in structural mechanics in general, and structural engineering in particular. The aim of this paper is to present some mathematical preliminaries related to WRW that would help in possible applications. In the limiting case, it represents a diffusion process whose evolution is governed by a fractional partial differential equation. Three applications of superdiffusion processes in mechanics, illustrating their effectiveness in handling large variations, are presented.

Item Type:	Journal Article
Publication:	SADHANA-ACADEMY PROCEEDINGS IN ENGINEERING SCIENCES
Publisher:	INDIAN ACAD SCIENCES
Additional Information:	Copy right for this article belongs to the INDIAN ACAD SCIENCES, C V RAMAN AVENUE, SADASHIVANAGAR, P B #8005, BANGALORE 560 080, INDIA
Keywords:	Large variations; Weierstrass Random Walk; super diffusion process; alpha-stable distribution; power-law distributions
Department/Centre:	Division of Mechanical Sciences > Civil Engineering
Date Deposited:	19 Nov 2015 04:56
Last Modified:	19 Nov 2015 04:56
URI:	http://eprints.iisc.ac.in/id/eprint/52782

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