A nonlinear spectral finite element model for analysis of wave propagation in solid with internal friction and dissipation

Mahapatra, Roy D and Gopalakrishnan, S (2003) A nonlinear spectral finite element model for analysis of wave propagation in solid with internal friction and dissipation. In: Lecture Notes in Computer Science, 2668 . pp. 745-754.

PDF A_Nonlinear.pdf - Published Version Restricted to Registered users only Download (292kB) | Request a copy

Abstract

A geometrically non-linear Spectral Finite Flement Model (SFEM) including hysteresis, internal friction and viscous dissipation in the material is developed and is used to study non-linear dissipative wave propagation in elementary rod under high amplitude pulse loading. The solution to non-linear dispersive dissipative equation constitutes one of the most difficult problems in contemporary mathematical physics. Although intensive research towards analytical developments are on, a general purpose cumputational discretization technique for complex applications, such as finite element, but with all the features of travelling wave (TW) solutions is not available. The present effort is aimed towards development of such computational framework. Fast Fourier Transform (FFT) is used for transformation between temporal and frequency domain. SFEM for the associated linear system is used as initial state for vector iteration. General purpose procedure involving matrix computation and frequency domain convolution operators are used and implemented in a finite element code. Convergnence of the spectral residual force vector ensures the solution accuracy. Important conclusions are drawn from the numerical simulations. Future course of developments are highlighted.

Item Type:	Editorials/Short Communications
Publication:	Lecture Notes in Computer Science
Publisher:	Springer
Additional Information:	Copyright of this article belongs to Springer.
Department/Centre:	Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited:	04 Aug 2011 07:32
Last Modified:	04 Aug 2011 07:32
URI:	http://eprints.iisc.ac.in/id/eprint/39755

Actions (login required)

View Item