Cover image for Waves in nonlinear pre-stressed materials
Title:
Waves in nonlinear pre-stressed materials
Series:
CISM courses and lectures ; no. 495
Publication Information:
Wien : Springer, 2007
ISBN:
9783211735718
General Note:
Also available online version
Electronic Access:
Full Text
DSP_RESTRICTION_NOTE:
Accessible within UTM campus

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30000010169121 QA935 W38 2007 Open Access Book Book
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30000003498247 QA935 W38 2007 Open Access Book Book
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Summary

Summary

The papers in this book provide a unique state-of-the-art multidisciplinary overview on the subject of waves in pre-stressed materials through the interaction of several topics, ranging from the mathematical modelling of incremental material response (elastic and inelastic), to the analysis of the governing differential equations and boundary-value problems, and to computational methods for the solution to these problems, with particular reference to industrial, geophysical, and biomechanical applications.

A complete view on the title subject is proposed, including: The basic and fundamental theoretical issues (mechanical modelling, exact solutions, asymptotic methods, numerical treatment); A unified introduction to wave propagation (small on large and large on large); A look toward classical (such as geophysics and the mechanics of rubber-like solids) and emergent (such as biomechanics) applications.


Table of Contents

R. W. OgdenA. N. NorrisM. DestradeY. B. FuG. SaccomandiP. Joly
Incremental Statics and Dynamics of Pre-Stressed Elastic Materialsp. 1
Small-On-Large Theory with Applications to Granular Materials and Fluid/Solid Systemsp. 27
Interface Waves in Pre-Stressed Incompressible Solidsp. 63
Linear and Nonlinear Wave Propagation in Coated or Uncoated Elastic Half-Spacesp. 103
Finite Amplitude Waves in Nonlinear Elastodynamics and Related Theories: A Personal Overviewp. 129
Numerical Methods for Elastic Wave Propagationp. 181