Geometrical non-linear analysis of fiber reinforced elastic solids considering debounding. (1st December 2015)

• Record Type: Journal Article
• Authors: Paccola, Rodrigo Ribeiro; Piedade Neto, Dorival; Coda, Humberto Breves
• Is Part Of: Composite structures. Volume 133(2016)
• Page Start: 343
• Page End: 357
• Publication Date: 2015-12-01
• Subjects: Fiber reinforced composites -- Geometrical non-linear formulation -- Contact stress -- Slipping -- Debounding -- Random elastoplastic fibers; Composite construction -- Periodicals; Composites -- Périodiques; 624.18
• DOI: 10.1016/j.compstruct.2015.07.097
• Languages: English
• ISSNs: 0263-8223

Abstract

Abstract: This study intends to contribute with the improvement of FEM formulations to analyze composite materials and structures at the meso and macro levels. Specifically, composite materials and structures constituted by an elastic matrix reinforced by long or short fibers that may debound when the contact stress reaches a critical value are taken into account. The study proposes a way to introduce fibers (short or long) inside elastic solids modeled by finite elements without increasing the number of degrees of freedom when debounding is not present. When there is debounding, new degrees of freedom are incorporated only at the slipping contact between fibers and matrix following an elastoplastic non-linear constitutive relation. The matrix is considered elastic while fibers follow a multi-linear elastoplastic constitutive relation. Large deformations and moderate strains are considered. In order to model the debounding between fibers and matrix it is necessary to accurately calculate the contact stresses. Therefore, the development of straight and curved fiber elements of any order and the accuracy analysis of the proposed contact stress calculations are investigated. After defining the best strategy to be followed general examples are solved to validate the contact stress calculation, debounding and plastic fiber behavior.