Deformation Waves in Solids

Jüri Engelbrecht ()
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Jüri Engelbrecht: Institute of Cybernetics at Tallinn University of Technology, Centre for Nonlinear Studies

A chapter in Applied Wave Mathematics, 2009, pp 13-30 from Springer

Abstract: Abstract The basic theoretical concepts are analysed on the basis of the continuum theory for modelling deformation waves in solids. First a brief description of modelling for homogeneous solids is presented, which is widely known in practice. Special attention is paid to advanced theories focusing on microstructured materials. Several approaches are described: the separation of macro- and microstructure, the balance of pseudomomentum, and the concept of internal variables. Characteristically, the advanced models describe the hierarchy of waves, which includes the dependence on the internal scale(s). The resulting dispersive effects are often accompanied by nonlinearities and in this case solitary waves may emerge. Finally, some challenges in the theory of waves are briefly listed.

Keywords: Solitary Wave; Nonlinear Wave; Wave Motion; Internal Variable; Helmholtz Free Energy (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-00585-5_3

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DOI: 10.1007/978-3-642-00585-5_3

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