CZM-based FE numerical study on pull-out performance of adhesive bonded-in-rod (BiR) joints for timber structures

Drass M.; Schober K.-U.; Kuechler M. Advancement of glued-in rods using polymer concrete as composite material. Axially-symmetric cracks. Proceedings of World Conference on Timber Engineering, WCTE 2014, Quebec City, QC, Canada, 2014. De Lorenzis, 2005, Analytical and experimental study on bonded-in CFRP bars in glulam timber, Compos B Eng, 36, 279, 10.1016/j.compositesb.2004.11.005 Chans, 2010, Model for predicting the axial strength of joints made with glued-in rods in sawn timber, Constr Build Mater, 24, 1773, 10.1016/j.conbuildmat.2010.02.010 Fava, 2013, Pull-out strength of glued-in FRP plates bonded in glulam, Constr Build Mater, 43, 362, 10.1016/j.conbuildmat.2013.02.035 Gonzales, 2016, The impact of defects on the capacity of timber joints with glued-in rods, Int J Adhes Adhes, 65, 33, 10.1016/j.ijadhadh.2015.11.002 Yeboah, 2016, Experimental study of interfacial stress distribution of bonded-in BFRP rod glulam joints using fibre optic sensors (FOS), Structures, 8, 53, 10.1016/j.istruc.2016.08.006 Yeboah, 2013, Pull-out behaviour of axially loaded basalt fibre reinforced polymer (BFRP) rods bonded perpendicular to the grain of glulam elements, Constr Build Mater, 38, 962, 10.1016/j.conbuildmat.2012.09.014 Di Maria, 2017, Influence of elevated temperature on glued-in steel rods for timber elements, Constr Build Mater, 147, 457, 10.1016/j.conbuildmat.2017.04.038 Madhoushi, 2017, Effect of glue-line thickness on pullout behavior of gluedin GFRP rods in LVL: Finite element analysis, Polym Test, 62, 196, 10.1016/j.polymertesting.2017.06.029 Ratsch, 2019, Influence of imperfections on the load capacity and stiffness of glued-in rod connections, Constr Build Mater, 226, 200, 10.1016/j.conbuildmat.2019.07.278 Kohl, 2018, Influence of manufacturing methods and imperfections on the load capacity of glued-in rods, J Adhes, 1 Ling, 2018, Local bond stress-slip relationships between Glue laminated timber and epoxy bonded-in GFRP rod, Constr Build Mater, 170, 1, 10.1016/j.conbuildmat.2018.03.052 Azinovic, 2019, Glued-in rods in cross laminated timber – Numerical simulations and parametric studies, Constr Build Mater, 212, 431, 10.1016/j.conbuildmat.2019.03.331 Muciaccia, 2019, An experimental approach to determine pull-outstrength of single and multiple axially loaded steel rods bonded in glulam parallel to the grain, Wood Mat Sci Eng, 14, 88, 10.1080/17480272.2017.1404491 Grunwald, 2019, Numerical investigations and capacity prediction of G-FRP rods glued into timber, Compos Struct, 202, 47, 10.1016/j.compstruct.2017.10.010 Grunwald, 2019, Rods glued in engineered hardwood products part I: Experimental results under quasi-static loading, Int J Adhes Adhes, 90, 163, 10.1016/j.ijadhadh.2018.05.003 Grunwald, 2019, Rods glued in engineered hardwood products part II: Numerical modelling and capacity prediction, Int J Adhes Adhes, 90, 182, 10.1016/j.ijadhadh.2018.05.004 Orlando, 2019, End-repair of timber beams with laterally-loaded glued-in rods: Experimental trials and failure prediction through modelling, Constr Build Mater, 195, 623, 10.1016/j.conbuildmat.2018.11.045 Khelifa, 2020, FE stress analysis and prediction of the pull-out of FRP rods glued into glulam timber, Wood Mat Sci Eng, 17, 53, 10.1080/17480272.2020.1776769 Steiger, 2015, Strengthening of timber structures with glued-in rods, Constr Build Mater, 97, 90, 10.1016/j.conbuildmat.2015.03.097 Rajcic V.; Bjelanovic A.; Rak M. Comparison of the Pull-out Strength of Steel Bars Glued in Glulam Elements Obtained Experimentally and Numerically. Proceedings of the CIB-W18 Timber Structures, Meeting 39, Florence, Italy, 2006. Stepinac M.; Hunger F.; Tomasi R.; Serrano E.; Rajcic V.; Van de Kuilen J.W.G. Comparison of design rules for glued-in rods and design rule proposal for implementation in European standards. Proceedings of the CIB-W18 Timber Structures, Meeting 46, Vancouver, BC, Canada, 2013. Titirla, 2019, Mechanical behaviour of gluedin rods (carbon and glass fibre-reinforced polymers) for timber structures - An analytical and experimental study, Compos Struct, 208, 70, 10.1016/j.compstruct.2018.09.101 Stepinac M.; Rajcic V.; Koscak J.; Damjanovic D. Assessment of the pull-out strength of glued-in rods with different test methods. Proceedings of the World Conference on Timber Engineering, Vienna, Austria, 2016. Buchanan, 2011 DIN. Eurocode 5: Design of timber structures - Part 1-1: General - Common rules and rules for buildings - German version (DIN EN 1995-1-1:2010-12/A2:2014-07). German Institute for Standardisation, Berlin, Germany, 2014. Bsi, 2014 Serrano, 2001, Glued-in rods for timber structures — a 3D model and finite element parameter studies, Int J Adhes Adhes, 21, 115, 10.1016/S0143-7496(00)00043-9 Barbalic, 2021, Short-Term Analysis of Adhesive Types and Bonding Mistakes on Bonded-in-Rod (BiR) Connections for Timber Structures, Appl Sci, 11, 1 CEN/TC 250 SC 5: SC5.T5 N 1483 - Final BGD Connections - Bonded-in-rods - Background document. European Committee for Standardization, Brussels, Belgium, 2021. CEN. Eurocode - Basis of structural design (EN 1990:2002+A1:2005+AC:2008). European Committee for Standardization, Brussels, Belgium, 2008. CEN. Eurocode 5: Design of timber structures - Part 1-1: General - Common rules and rules for buildings (EN 1995-1-1:2004/A2:2014) European Committee for Standardization, Brussels, Belgium, 2014. CEN/TC 250 SC 5: Glued-in Rods in Glued Structural Timber Products - Testing, Requirements and Bond Shear Strength Classification (prEN 17334). European Committee for Standardization, Brussels, Belgium, 2018. CEN. Timber structures - Glued laminated timber and glued solid timber - Requirements (EN 14080:2013). European Committee for Standardization, Brussels, Belgium, 2013. CEN. Timber structures - Laminated veneer lumber (LVL) - Requirements (EN 14374:2006). European Committee for Standardization, Brussels, Belgium, 2016. CEN. Timber structures - Cross laminated timber - Requirements (EN 16351:2015). European Committee for Standardization, Brussels, Belgium, 2015. CEN. Wood-based panels for use in construction - Characteristics, evaluation of conformity and marking (EN 13986:2004+A1:2015). European Committee for Standardization, Brussels, Belgium, 2015. CEN. Fasteners - Mechanical properties of corrosion-resistant stainless steel fasteners - Part 1: Bolts, screws and studs with specified grades and property classes (EN ISO 3506-1:2020). European Committee for Standardization, Brussels, Belgium, 2020. CEN. Timber structures - Dowel-type fasteners - Requirements (EN 14592:2008). European Committee for Standardization, Brussels, Belgium, 2008. CEN. Mechanical properties of fasteners made of carbon steel and alloy steel - Part 1: Bolts, screws and studs with specified property classes - Coarse thread and fine pitch thread (ISO 898-1:2013; EN ISO 898-1:2013). European Committee for Standardization, Brussels, Belgium, 2013. Barenblatt, 1959, The formation of equilibrium cracks during brittle fracture. General ideas and hypotheses. Axially-symmetric cracks, J Appl Math Mech, 23, 434 Barenblatt, 1962, The Mathematical Theory of Equilibrium Cracks in Brittle Fracture, Adv Appl Mech, 7, 55, 10.1016/S0065-2156(08)70121-2 Dugdale, 1960, Yielding of steel sheets containing slits, J Mech Phys Solids, 8, 100, 10.1016/0022-5096(60)90013-2 Hillerborg, 1976, Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements, Cem Concr Res, 6, 773, 10.1016/0008-8846(76)90007-7 Needleman, 1987, A continuum model for void nucleation by inclusion debonding, J Appl Mech Trans ASME, 54, 525, 10.1115/1.3173064 Cui, 1993, A combined stress-based and fracture-mechanics-based model for predicting delamination in composites, Composites, 24, 467, 10.1016/0010-4361(93)90016-2 Lammerant, 1996, Modelling of the interaction between matrix cracks and delaminations during impact of composite plates, Compos Sci Technol, 53, 1171, 10.1016/S0266-3538(96)00071-1 Petrossian, 1998, Prediction of delamination initiation and growth from discontinuous plies using interface elements, Compos A Appl Sci Manuf, 29, 503, 10.1016/S1359-835X(97)00134-6 Panigrahi, 2007, Three dimensional failure analysis and damage propagation behavior of adhesively bonded single lap joints in laminated FRP composites, J Reinf Plast Compos, 26, 183, 10.1177/0731684407070026 Bedon C.; Machalicka K.; Eliasova M.; Vokac M. Numerical modelling of adhesive connections including cohesive damage. In: Challenging Glass 6, Vol. 6, 2018. DOI: 10.7480/cgc.6.2155. Tserpes, 2021, A review on failure theories and simulation models for adhesive joints, J Adhes, 1 da Silva L.F.M.; Campilho R.D.S.G. Advances in Numerical Modeling of Adhesive Joints. In: Advances in Numerical Modeling of Adhesive Joints. SpringerBriefs in Applied Sciences and Technology, 2012. Springer, Berlin, Heidelberg. DOI: 10.1007/978-3-642-23608-2_1. Alfano, 2001, Finite element interface models for the delamination analysis of laminated composites: Mechanical and computational issues, Int J Numer Meth Eng, 50, 1701, 10.1002/nme.93 Allix, 1996, Modeling and simulation of crack propagation in mixed-modes interlaminar fracture specimens, Int J Fract, 77, 111, 10.1007/BF00037233 Chen, 2002, Predicting progressive delamination of stiffened fibre-composite panel and repaired sandwich panel by decohesion models, J Thermoplast Compos Mater, 15, 429, 10.1177/0892705702015005736 Chandra, 2002, Some issues in the application of cohesive zone models for metal-ceramic interfaces, Int J Solids Struct, 39, 2827, 10.1016/S0020-7683(02)00149-X Kafkalidis, 2002, The effects of geometry and material properties on the fracture of single lap-shear joints, Int J Solids Struct, 39, 4367, 10.1016/S0020-7683(02)00344-X Dias, 2013, Cohesive laws of composite bonded joints under mode I loading, Compos Struct, 106, 646, 10.1016/j.compstruct.2013.07.027 de Moura, 2009, Pure mode II fracture characterization of composite bonded joints, Int J Solids Struct, 46, 1589, 10.1016/j.ijsolstr.2008.12.001 Campilho, 2013, Modelling adhesive joints with cohesive zone models: Effect of the cohesive law shape of the adhesive layer, Int J Adhes Adhes, 44, 48, 10.1016/j.ijadhadh.2013.02.006 Floros, 2015, Mode-I, mode-II and mixed-mode I+II fracture behavior of composite bonded joints: experimental characterization and numerical simulation, Compos B Eng, 78, 459, 10.1016/j.compositesb.2015.04.006 Harper, 2010, A fatigue degradation law for cohesive interface elements - Development and application to composite materials, Int J Fatigue, 32, 1774, 10.1016/j.ijfatigue.2010.04.006 Kawashita, 2012, A crack tip tracking algorithm for cohesive interface element analysis of fatigue delamination propagation in composite materials, Int J Solids Struct, 49, 2898, 10.1016/j.ijsolstr.2012.03.034 Pirondi, 2006, Mixed mode I/II fatigue crack growth in adhesive joints, Eng Fract Mech, 73, 2557, 10.1016/j.engfracmech.2006.04.009 May, 2011, An advanced model for initiation and propagation of damage under fatigue loading - part I: model formulation, Compos Struct, 93, 2340, 10.1016/j.compstruct.2011.03.022 Rocha, 2020, Numerical analysis of mixed-mode fatigue crack growth of adhesive joints using CZM, Theor Appl Fract Mech, 106, 1 Floros, 2019, Fatigue crack growth characterization in adhesive CFRP joints, Compos Struct, 207, 531, 10.1016/j.compstruct.2018.09.020 Bedon, 2019, Numerical analysis of timber-to-timber joints and composite beams with inclined self-tapping screws, Compos Struct, 207, 13, 10.1016/j.compstruct.2018.09.008 Avez, 2016, Finite Element modelling of inclined screwed timber to timber connections with a large gap between the elements, Eur J Wood Wood Prod, 74, 467, 10.1007/s00107-015-1002-1 Bedon, 2021, Correlation approach for the push-out and full-size bending short-term performances of timber-to-timber slabs with self-tapping screws, Eng Struct, 238, 10.1016/j.engstruct.2021.112232 Bedon, 2017, Three-dimensional modelling of notched connections for timber-concrete composite beams, Struct Eng Int, 27, 184, 10.2749/101686617X14881932435295 Bergstedt, 2007, Larch Wood – A literature review, Forest & LandscapeWorking Papers, no. 23 CEN. General purpose adhesives for structural assembly - Requirements and test methods (EN 15274:2015). European Committee for Standardization, Brussels, Belgium, 2015. CEN, 2016