Influence of material inhomogeneity and non-linear mechanical behavior of the material on delamination in multilayered beams

The delamination fracture in four-point bending beams made of adhesively bonded lengthwise vertical layers is studied assuming that each layer exhibits smooth material inhomogeneity along the width and length of the layer. The study aims at determining the strain energy release rate with applying th...

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Main Author: Victor Rizov
Format: Article
Language:English
Published: Gruppo Italiano Frattura 2018-12-01
Series:Fracture and Structural Integrity
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Online Access:https://www.fracturae.com/index.php/fis/article/view/2242
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author Victor Rizov
author_facet Victor Rizov
author_sort Victor Rizov
collection DOAJ
description The delamination fracture in four-point bending beams made of adhesively bonded lengthwise vertical layers is studied assuming that each layer exhibits smooth material inhomogeneity along the width and length of the layer. The study aims at determining the strain energy release rate with applying the Ramberg-Osgood equation for modeling the non-linear mechanical behavior of the material in each layer. Cosine laws are used to describe the continuous variation of the modulus of elasticity in width and length directions of layers. Beams made of an arbitrary number of vertical layers which have individual widths and material properties are considered. Besides, the delamination crack is located arbitrary between layers, i.e. the two crack arms have different widths. The J-integral is applied for verification of the non-linear solution to the strain energy release rate derived in the present paper. The solution is used to investigate the influence of material inhomogeneity in width and length directions of layers, the crack location along the beam width, the non-linear mechanical behavior of the material and the crack length on the delamination fracture behavior. The approach developed is expected to be useful in structural design of multilayered inhomogeneous beams with considering the delamination fracture behavior.
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spelling doaj-art-947f64d2fa624534b00e280fe52d79182025-08-20T02:51:45ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932018-12-011347Influence of material inhomogeneity and non-linear mechanical behavior of the material on delamination in multilayered beamsVictor Rizov0Department of Technical Mechanics University of Architecture, Civil Engineering and GeodesyThe delamination fracture in four-point bending beams made of adhesively bonded lengthwise vertical layers is studied assuming that each layer exhibits smooth material inhomogeneity along the width and length of the layer. The study aims at determining the strain energy release rate with applying the Ramberg-Osgood equation for modeling the non-linear mechanical behavior of the material in each layer. Cosine laws are used to describe the continuous variation of the modulus of elasticity in width and length directions of layers. Beams made of an arbitrary number of vertical layers which have individual widths and material properties are considered. Besides, the delamination crack is located arbitrary between layers, i.e. the two crack arms have different widths. The J-integral is applied for verification of the non-linear solution to the strain energy release rate derived in the present paper. The solution is used to investigate the influence of material inhomogeneity in width and length directions of layers, the crack location along the beam width, the non-linear mechanical behavior of the material and the crack length on the delamination fracture behavior. The approach developed is expected to be useful in structural design of multilayered inhomogeneous beams with considering the delamination fracture behavior.https://www.fracturae.com/index.php/fis/article/view/2242Multilayered beamMaterial inhomogeneitDelamination fractureNon-linear behaviour
spellingShingle Victor Rizov
Influence of material inhomogeneity and non-linear mechanical behavior of the material on delamination in multilayered beams
Fracture and Structural Integrity
Multilayered beam
Material inhomogeneit
Delamination fracture
Non-linear behaviour
title Influence of material inhomogeneity and non-linear mechanical behavior of the material on delamination in multilayered beams
title_full Influence of material inhomogeneity and non-linear mechanical behavior of the material on delamination in multilayered beams
title_fullStr Influence of material inhomogeneity and non-linear mechanical behavior of the material on delamination in multilayered beams
title_full_unstemmed Influence of material inhomogeneity and non-linear mechanical behavior of the material on delamination in multilayered beams
title_short Influence of material inhomogeneity and non-linear mechanical behavior of the material on delamination in multilayered beams
title_sort influence of material inhomogeneity and non linear mechanical behavior of the material on delamination in multilayered beams
topic Multilayered beam
Material inhomogeneit
Delamination fracture
Non-linear behaviour
url https://www.fracturae.com/index.php/fis/article/view/2242
work_keys_str_mv AT victorrizov influenceofmaterialinhomogeneityandnonlinearmechanicalbehaviorofthematerialondelaminationinmultilayeredbeams