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On the constitutive
equations of viscoelastic micropolar plates and shells of
differential type
Holm Altenbach and Victor A. Eremeyev
Vol. 3 (2015), No. 3, 273–283
DOI: 10.2140/memocs.2015.3.273
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Abstract |
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Within the framework of the micropolar theory of continuum we discuss the constitutive equations of viscoelastic micropolar thin-walled structures, i.e. viscoelastic micropolar plates and shells. Starting from the linear viscoelastic micropolar continuum and using the correspondence principle of the linear viscoelasticity we extend the procedure of reduction of three-dimensional equilibrium equations of elastic shell-like solids to the case of viscoelastic behavior. We restricted ourselves by constitutive equations of differential type. In other words, we consider both 2D and 3D constitutive equations which are linear dependencies between certain set of time derivatives of stress and strain measures. |
Keywords
micropolar plate, Cosserat continuum, viscoelasticity,
through-the-thickness integration, constitutive equations
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Mathematical Subject Classification 2010
Primary: 74A35
Secondary: 74K20, 74K25, 74D05, 74A20
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Milestones
Received: 14 April 2015
Revised: 12 August 2015
Accepted: 8 October 2015
Published: 11 October 2015
Communicated by Francesco dell'Isola
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Authors |
| Holm Altenbach | |
| Chair of Engineering Mechanics Institute of Mechanics, Faculty of Mechanical Engineering Otto-von-Guericke-Universität Universitätsplatz 1 39106 Magdeburg Germany |
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| Victor A. Eremeyev | |
| Department of Applied Mechanics and
Robotics Rzeszow University of Technology al. Powstańców Warszawy, 8 35-959, Rzeszów Poland |
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