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Acceleration waves in the nonlinear micromorphic continuum

Abstract

Within the framework of the nonlinear elastic theory of micromorphic continua we derive the conditions for propagation of acceleration waves. An acceleration wave, also called a wave of weak discontinuity of order two, can be treated as a propagating nonmaterial surface across which the second derivatives of the placement vector and micro-distortion tensor may undergo jump discontinuities. Here we obtain the acoustic tensor for the micromorphic medium and formulate the conditions for existence of acceleration waves. As examples we consider these conditions for the linear micromorphic medium and for the relaxed micromorphic model.

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Authors (3)

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Details

Category:
Articles
Type:
artykuł w czasopiśmie wyróżnionym w JCR
Published in:
MECHANICS RESEARCH COMMUNICATIONS no. 93, pages 70 - 74,
ISSN: 0093-6413
Language:
English
Publication year:
2018
Bibliographic description:
Eremeev V., Lebedev L., Cloud M.: Acceleration waves in the nonlinear micromorphic continuum// MECHANICS RESEARCH COMMUNICATIONS. -Vol. 93, (2018), s.70-74
DOI:
Digital Object Identifier (open in new tab) 10.1016/j.mechrescom.2017.07.004
Verified by:
Gdańsk University of Technology

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