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Variational models for shear modulus of symmetric and balanced laminates with cracks in 90-layer
Ionian Islands Technological Educational Institute, Faculty of Music Technology, Department of Sound and Musical Instruments Technology, Lixouri, Greece.
Riga Technical University, Riga, Latvia.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Material Science.ORCID iD: 0000-0001-9649-8621
2015 (English)In: International Journal of Solids and Structures, ISSN 0020-7683, E-ISSN 1879-2146, Vol. 71, p. 169-179Article in journal (Refereed) Published
Abstract [en]

Three analytical models with increasing complexity, all based on minimization of complementary energy, are compared in their ability to predict shear modulus reduction of laminates with intralaminar cracks in 90-layer. The very elegant and simple (and the less accurate) model by Hashin assumes linear out-of-plane shear stress distribution across the ply in all layers. The second model assumes exponential shape of these stresses in the constraint layer keeping linear assumption in the cracked layer. The model developed in the present paper accounts for nonlinear out-of-plane shear stress thickness distribution in all layers described by shape functions determined in the procedure of minimization. Increasing the complexity of the model the predicted shear modulus of the damaged laminate increases approaching to value obtained using finite elements (FE). Results show that for laminates with relatively thick cracked layers the stress state description in the cracked layer should be refined whereas for laminates with constraint layer thicker than the cracked layer more accurate stress description in the constraint layer is necessary. More accurate solutions could be derived using the described methodology, but the involved complexity and the numerical routines required for their application diminish their value comparing with direct FE solution

Place, publisher, year, edition, pages
2015. Vol. 71, p. 169-179
National Category
Composite Science and Engineering
Research subject
Polymeric Composite Materials
Identifiers
URN: urn:nbn:se:ltu:diva-2768DOI: 10.1016/j.ijsolstr.2015.06.017ISI: 000360776300012Scopus ID: 2-s2.0-84952631641Local ID: 0736fe31-60ad-4c60-bab2-cb6cd7bc9448OAI: oai:DiVA.org:ltu-2768DiVA, id: diva2:975621
Note

Validerad; 2015; Nivå 2; 20150629 (andbra)

Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2021-10-22Bibliographically approved

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Varna, Janis

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