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Deformation Waves in Solids

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Applied Wave Mathematics

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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.

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Authors and Affiliations

  1. Centre for Nonlinear Studies, Institute of Cybernetics at Tallinn University of Technology, Akadeemia tee 21, EE-12618, Tallinn, Estonia

    Jüri Engelbrecht

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  1. Jüri Engelbrecht
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Correspondence to Jüri Engelbrecht .

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Editors and Affiliations

  1. Tallinn University of Technology, Inst. Cybernetics, Estonian Academy of Sciences, Akadeemia Tee 21, Tallinn, 12618, Estonia

    Ewald Quak

  2. Tallinn University of Technology, Inst. Cybernetics, Estonian Academy of Sciences, Akadeemia Tee 21, Tallinn, 12618, Estonia

    Tarmo Soomere

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Engelbrecht, J. (2009). Deformation Waves in Solids. In: Quak, E., Soomere, T. (eds) Applied Wave Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00585-5_3

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