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A generalized framework towards structural mechanics of three-layered composite structures

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Title: A generalized framework towards structural mechanics of three-layered composite structures
Authors: Assmus M., Naumenko K., Ochsner A., Eremeyev V. A., Altenbach H.
Contributors: Assmus, M., Naumenko, K., Ochsner, A., Eremeyev, V. A., Altenbach, H.
Publication Year: 2019
Collection: Università degli Studi di Cagliari: UNICA IRIS
Subject Terms: general composite structure, high contrast plate, generalized approach, layer-wise theory
Description: Three-layered composite structures find a broad application. Increasingly, composites are being used whose layer thicknesses and material properties diverge strongly. In the perspective of structural mechanics, classical approaches to analysis fail at such extraordinary composites. Therefore, emphasis of the present approach is on arbitrary transverse shear rigidities and structural thicknesses of the individual layers. Therewith we employ a layer-wise approach for multiple (quasi-) homogeneous layers. Every layer is considered separately whereby this disquisition is based on the direct approach for deformable directed surfaces. We limit our considerations to geometrical and physical linearity. In this simple and familiar setting we furnish a layer-wise theory by introducing constraints at interfaces to couple the layers. Hereby we restrict our concern to surfaces where all material points per surface are coplanar and all surfaces are plane parallel. Closed-form solutions of the governing equations enforce a narrow frame since they are strongly restrictive in the context of available boundary conditions. Thus a computational solution approach is introduced using the finite element method. In order to determine the required spatially approximated equation of motion, the principle of virtual work is exploited. The discretization is realized via quadrilateral elements with quadratic shape functions. Hereby we introduce an approach where nine degrees of freedom per node are used. In combination with the numerical solution approach, this layer-wise theory has emerged as a powerful tool to analyze composite structures. In present treatise, we would like to clarify the broad scope of this approach.
Document Type: article in journal/newspaper
Language: English
Relation: volume:39; issue:2; firstpage:202; lastpage:219; numberofpages:18; journal:TECHNISCHE MECHANIK; https://hdl.handle.net/11584/307150; https://journals.ub.ovgu.de/index.php/techmech/article/view/1511/1478
DOI: 10.24352/UB.OVGU-2019-019
Availability: https://hdl.handle.net/11584/307150
https://doi.org/10.24352/UB.OVGU-2019-019
https://journals.ub.ovgu.de/index.php/techmech/article/view/1511/1478
Rights: info:eu-repo/semantics/openAccess
Accession Number: edsbas.AB3D2BC3
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  – Url: https://hdl.handle.net/11584/307150#
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  Data: A generalized framework towards structural mechanics of three-layered composite structures
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  Data: <searchLink fieldCode="AR" term="%22Assmus+M%2E%22">Assmus M.</searchLink><br /><searchLink fieldCode="AR" term="%22Naumenko+K%2E%22">Naumenko K.</searchLink><br /><searchLink fieldCode="AR" term="%22Ochsner+A%2E%22">Ochsner A.</searchLink><br /><searchLink fieldCode="AR" term="%22Eremeyev+V%2E+A%2E%22">Eremeyev V. A.</searchLink><br /><searchLink fieldCode="AR" term="%22Altenbach+H%2E%22">Altenbach H.</searchLink>
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  Data: Assmus, M.<br />Naumenko, K.<br />Ochsner, A.<br />Eremeyev, V. A.<br />Altenbach, H.
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  Data: 2019
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  Data: Università degli Studi di Cagliari: UNICA IRIS
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  Data: <searchLink fieldCode="DE" term="%22general+composite+structure%22">general composite structure</searchLink><br /><searchLink fieldCode="DE" term="%22high+contrast+plate%22">high contrast plate</searchLink><br /><searchLink fieldCode="DE" term="%22generalized+approach%22">generalized approach</searchLink><br /><searchLink fieldCode="DE" term="%22layer-wise+theory%22">layer-wise theory</searchLink>
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  Data: Three-layered composite structures find a broad application. Increasingly, composites are being used whose layer thicknesses and material properties diverge strongly. In the perspective of structural mechanics, classical approaches to analysis fail at such extraordinary composites. Therefore, emphasis of the present approach is on arbitrary transverse shear rigidities and structural thicknesses of the individual layers. Therewith we employ a layer-wise approach for multiple (quasi-) homogeneous layers. Every layer is considered separately whereby this disquisition is based on the direct approach for deformable directed surfaces. We limit our considerations to geometrical and physical linearity. In this simple and familiar setting we furnish a layer-wise theory by introducing constraints at interfaces to couple the layers. Hereby we restrict our concern to surfaces where all material points per surface are coplanar and all surfaces are plane parallel. Closed-form solutions of the governing equations enforce a narrow frame since they are strongly restrictive in the context of available boundary conditions. Thus a computational solution approach is introduced using the finite element method. In order to determine the required spatially approximated equation of motion, the principle of virtual work is exploited. The discretization is realized via quadrilateral elements with quadratic shape functions. Hereby we introduce an approach where nine degrees of freedom per node are used. In combination with the numerical solution approach, this layer-wise theory has emerged as a powerful tool to analyze composite structures. In present treatise, we would like to clarify the broad scope of this approach.
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  Data: volume:39; issue:2; firstpage:202; lastpage:219; numberofpages:18; journal:TECHNISCHE MECHANIK; https://hdl.handle.net/11584/307150; https://journals.ub.ovgu.de/index.php/techmech/article/view/1511/1478
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  Data: 10.24352/UB.OVGU-2019-019
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  Data: https://hdl.handle.net/11584/307150<br />https://doi.org/10.24352/UB.OVGU-2019-019<br />https://journals.ub.ovgu.de/index.php/techmech/article/view/1511/1478
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      – SubjectFull: high contrast plate
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