Analytical model for predicting brittle failures of bolted timber joints

Echavarría, César; Salenikovich, Alexander

doi:10.1617/s11527-008-9428-0

Cited by 7 publications

(6 citation statements)

References 11 publications

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“…From Equation (4), it follows that the weight function h 1 can be related to the stress intensity factor of a point force of unit magnitude acting at the crack faces at location x using h 1 a; x ð Þ ¼ K 1 (7) and calculating m 1 from h 1 using Equation (6). The weight function for a given crack geometry can therefore be determined point-wise by a series of finite element analyses in each one of which the stress intensity factor caused by a point force acting at different locations along the crack front is calculated.…”

Section: Weight Functionsmentioning

confidence: 99%

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Stress Concentration Factors and Weight Functions in Thin Notched Structures of Equibiaxial Anisotropic Materials

Heinzelmann

Kalamkarov

2010

Adv Eng Mater

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Due to their excellent strength-to-weight and stiffness-to-weight ratios, thin sheets of composite materials are increasingly being used for lightweight applications such as in the transportation industry or for high end sports equipment. [1][2][3][4] To optimize the weight of a structure by pushing its loading as close as reasonably possible to the load-carrying capacity of the material, accurate design guidelines are needed that take the anisotropy of the material into account. For notched composite structures where the load carrying capacity is limited by fracture from the notch-rather than delamination-this means that accurate and usable solutions are required to determine the stress concentration factor K t at the notch tip or, in the presence of a crack emanating from the notch tip, the stress intensity factor K 1 .Over the past decades, stress concentration factors have been determined for a wide variety of notched geometries. Among the most comprehensive and authoritative compilations is the one by Peterson. [5,6] For anisotropic materials, however, K t and K 1 solutions are hard to find. Very few solutions have been published for stress concentration factors in anisotropic materials, [7][8][9][10][11][12] and even less so for stress intensity factors of cracks emanating from notches. [13] The present study addresses this problem. It focuses on the strength calculation of notched composite structures where the load carrying capacity is limited by fracture of through the thickness cracks emanating from the notch. Two design guidelines the applicabilities of which are well proven for isotropic materials-the stress concentration factor concept and the weight function technique-will be extended to equibiaxial orthotropic materials, i.e., orthotropic materials with equal mechanical properties in both principal directions. With the results of this study, it is possible to predict the strength of notched structures made of these materials more accurately. Anisotropic ElasticityWithin linear elasticity, the stress-strain relation in an anisotropic material is described bywhere e i , S ij , and s j are the strain tensor, the compliance matrix, and the stress tensor, respectively. In a cubic material, S ij consists of the three independent components S 11 , S 12 , and S 66 . Alternatively, engineering quantities, e.g., direction dependent Young's moduli and Poisson's ratios, can be used, see e.g., Kalamkarov. [14] In this study, E 1 , n 12 , and E 458 are employed, where the subscripts 1 and 12 refer to the principal axes of the material, and the subscript 458 to a direction rotated by 458. Using engineering properties is convenient because Poisson's ratio n 12 shows to be of negligible influence on the calculated K t and K 1 values. This reduces the number ofIn notched structures, the influence of the notch on the structural strength of the component can be described by a stress concentration factor or-in the presence of cracks-a weight function. Numerous stress concentration factor and weight function solutions a...

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Section: Weight Functionsmentioning

confidence: 99%

“…[5,6] For anisotropic materials, however, K t and K 1 solutions are hard to find. Very few solutions have been published for stress concentration factors in anisotropic materials, [7][8][9][10][11][12] and even less so for stress intensity factors of cracks emanating from notches. [13] The present study addresses this problem.…”

mentioning

confidence: 99%

Stress Concentration Factors and Weight Functions in Thin Notched Structures of Equibiaxial Anisotropic Materials

Heinzelmann

Kalamkarov

2010

Adv Eng Mater

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“…Echavarría and Salenikovich [12], presented an analytical model to calculate the stresses around a hole in a bolted joint and to predict failures in timber bolted connections. Timber bolted joints loaded parallel to grain were tested.…”

Section: Introductionmentioning

confidence: 99%

Analysis of bolted ultra-high performance concrete joints

Echavarría

Cañola

Echeverri³

2021

Lámpsakos

Self Cite

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El hormigón de ultra-alto desempeño (UHPC) es un material compuesto con una notable capacidad de autocompactación y una alta resistencia a la compresión. Actualmente, la construcción de prefabricados en UHPC, debido a sus propiedades excepcionales, es considerada como una opción interesante en los proyectos de ingeniería civil. El desarrollo de métodos prácticos y confiables para el diseño de conexiones con pernos de elementos en UHPC ha sido considerado como un factor crucial en futuros proyectos de construcción. En este artículo, se estudian las concentraciones de tensión y los modos de falla frágiles en conexiones con pernos de paneles UHPC. Los resultados experimentales son comparados con una solución analítica que estima las concentraciones de tensión usando las propiedades elásticas de los materiales anisotrópicos y la geometría de las conexiones. Se analizan la influencia de la distancia al borde y de las propiedades elásticas de las placas UHPC en el desarrollo de fallas en conexiones con pernos. La solución analítica propuesta en esta investigación considera ecuaciones de forma cerrada que pueden ser usadas para evaluar las concentraciones de tensión en la conexión. Los resultados de laboratorio en conexiones con pernos de paneles UHPC se ajustan a las predicciones del modelo analítico. Un modelo analítico teórico es sin duda un precursor para cualquier estudio experimental o numérico de conexiones con pernos de elementos de hormigón de ultra-alto desempeño.

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“…Other studies are focused on the analysis of structural fasteners and connectors of tested elements of real scale, and are a great complement to real object studies [18][19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

Analysis of Validation and Simplification of Timber-Frame Structure Design Stage with PU-Foam Insulation

Szczepański

Migda

2020

Sustainability

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The transition from experimental studies to the realm of numerical simulations is often necessary for further studies, but very difficult at the same time. This is especially the case for extended seismic analysis and earthquake-resistant design. This paper describes an approach to moving from the experimental testing of an elementary part of a wood-frame building structure to a numerical model, with the use of a commercial engineering analysis software. In the presented approach, a timber-frame structure with polyurethane (PU)-foam insulation and OSB (oriented strand board) sheathing was exposed to dynamic excitation. The results were then used to generate a numerical 3D model of the wooden frame element. The process of creating the 3D model is explained with the necessary steps to reach validation. The details of the model, material properties, boundary conditions, and used elements are presented. Furthermore, the authors explain the technical possibilities for simplifying the numerical model in used software. Simplifying the model leads to a substantial reduction of calculation time without the loss of accuracy of results. Such a simplification is especially useful when conducting advanced numerical calculations in the field of seismic and dynamic resistant object design.

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Analytical model for predicting brittle failures of bolted timber joints

Cited by 7 publications

References 11 publications

Stress Concentration Factors and Weight Functions in Thin Notched Structures of Equibiaxial Anisotropic Materials

Stress Concentration Factors and Weight Functions in Thin Notched Structures of Equibiaxial Anisotropic Materials

Analysis of bolted ultra-high performance concrete joints

Analysis of Validation and Simplification of Timber-Frame Structure Design Stage with PU-Foam Insulation

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