Nonlinear composites structural analysis with viscoelastic fibers

• Autorzy: Sinaceur Amal , Sahli Ahmed , Sahli Sara

Identyfikatory

DOI

10.12913/22998624/90225

• Języki publikacji: EN

Abstrakty

EN

This paper presents a formulation for material and geometrical nonlinear analysis of composite materials by immersion of truss finite elements into triangular 2D solid ones using a novel formulation of the finite element method based on positions. This positional formulation uses the shape functions to approximate some quantities defined in the Nonlinear Theory of Elasticity and proposes to describe the specific strain energy and the potential of the external loads as function of nodal positions which are set from a deformation function. Because the nodal positions have current values in each node, this method naturally considers the geometric nonlinearities while the nonlinear relationships between stress and strain may be considered by a pure nonlinear elastic theory called hyperelasticity which allows to obtain linearised constitutive laws in its variational form. This formulation should be able to include both viscoelastic and active behavior, as well as to allow the consideration of nonlinear relations between stresses and deformations. It is common to adopt hyperelastic constitutive laws. Few are the works that use the strategy of approaching the problem such as fibers immersed in a matrix. The immersion of fibers in the matrix makes it possible to include both a viscoelastic behavior in a simple and direct way. The examples are simple cases, some of them even with analytical solutions, mainly for validation purposes of the presented formulations. By modeling a structure, the examples show the potentialities of the concepts and proposed formulations.

Słowa kluczowe

EN

nonlinear elasticity; finite element method; composites; hyperelasticity; fibers with active behavior

PL

elastyczność nieliniowa; metoda elementów skończonych; kompozyty; hiperelastyczność; włókna aktywne

• Wydawca: Lublin University of Technology ; Polish Society of Ecological Engineering (PTIE), Branch of PTIE in Lublin
• Czasopismo: Advances in Science and Technology. Research Journal
• Rocznik: 2018
• Tom: Vol. 12, no 2
• Strony: 158--169
• Opis fizyczny: Bibliogr. 31 poz., fig.

Twórcy

autor

Sinaceur Amal

• Laboratoire de Recherche des Technologies Industrielles, Université Ibn Khaldoun de Tiaret, BP 78, Route de Zaroura, 14000 Tiaret, Algérie

autor

Sahli Ahmed

• Laboratoire de Mécanique Appliquée, Université des Sciences et de la Technologie d’Oran (USTO MB), B.P 1505 Oran El Menaouer, 31000, Algérie

autor

Sahli Sara

• Laboratoire de Mécanique Appliquée, Université des Sciences et de la Technologie d’Oran (USTO MB), B.P 1505 Oran El Menaouer, 31000, Algérie

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).