Strong ellipticity within the Toupin–Mindlin first strain gradient elasticity theory

Victor Eremeev; Markus Lazar

doi:10.1016/j.mechrescom.2022.103944

Strong ellipticity within the Toupin–Mindlin first strain gradient elasticity theory

Abstract

We discuss the strong ellipticity (SE) condition within the Toupin–Mindlin first strain gradient elasticity theory. SE condition is closely related to certain material instabilities and describes mathematical properties of corresponding boundary-value problems. For isotropic solids, SE condition transforms into two inequalities in terms of five gradient-elastic moduli.

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Victor Eremeev prof. dr hab.
Markus Lazar Dr

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DOI:: Digital Object Identifier (open in new tab) 10.1016/j.mechrescom.2022.103944
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Category:: Articles
Type:: artykuły w czasopismach
Published in:: MECHANICS RESEARCH COMMUNICATIONS no. 124,
ISSN: 0093-6413
Language:: English
Publication year:: 2022
Bibliographic description:: Eremeev V., Lazar M.: Strong ellipticity within the Toupin–Mindlin first strain gradient elasticity theory// MECHANICS RESEARCH COMMUNICATIONS -,iss. 103944 (2022), s.1-4
DOI:: Digital Object Identifier (open in new tab) 10.1016/j.mechrescom.2022.103944
Verified by:: Gdańsk University of Technology