Adhesively bonded steel tubes – Part II: Numerical modelling and strength prediction

Abstract Capacity prediction of adhesively bonded joints remains challenging; this is particularly true for tubular joints composed of circular hollow sections used in civil engineering. This paper extends its companion paper, which presented experimental results of a large research campaign on full-scale tubular joints, with the aim to develop a dimensioning method. Firstly, experiments were designed to quantify the strength of the adhesive-steel connection; the results thereof were cast into the formulation of an adequate failure criterion, for each of the adhesives considered. Secondly, numerical models of all investigated joint configurations were established, from which the stress-state inside the bonded connection could be determined. A series of analyses clearly showed that stress magnitude and joint capacity did not correlate, thus indicating that a direct stress based methodology is destined to fail. Accordingly, a probabilistic method that is based on the concept of size effects was developed, and implemented. It allowed not only determining average values for joint capacities, but also estimated the expected experimental scattering thereof. The validity of the approach was tested by successfully comparing experimental and computed joint capacities.

[1]  Alberto Carpinteri,et al.  Tubular adhesive joints under axial load , 2003 .

[2]  Yves Weinand,et al.  Moment resisting connections composed of friction-welded spruce boards: experimental investigations and numerical strength prediction , 2013, European Journal of Wood and Wood Products.

[3]  Xiaocong He A review of finite element analysis of adhesively bonded joints , 2011 .

[4]  Jan K. Spelt,et al.  Analytical models of adhesively bonded joints-Part II: Comparative study , 2009 .

[5]  K. Trustrum,et al.  Statistical approach to brittle fracture , 1977 .

[6]  W. Weibull A statistical theory of the strength of materials , 1939 .

[7]  Till Vallée,et al.  Dimensioning method for bolted, adhesively bonded, and hybrid joints involving Fibre-Reinforced-Polymers , 2013 .

[8]  Till Vallée,et al.  Probabilistic strength prediction of adhesively bonded timber joints , 2011, Wood Science and Technology.

[9]  Z. Bažant,et al.  Mechanics-based statistics of failure risk of quasibrittle structures and size effect on safety factors. , 2006, Proceedings of the National Academy of Sciences of the United States of America.

[10]  Shanmugam Kumar Analysis of tubular adhesive joints with a functionally modulus graded bondline subjected to axial loads , 2009 .

[11]  Till Vallée,et al.  Adhesively bonded timber joints – Do defects matter? , 2014 .

[12]  Zdenek P. Bazant,et al.  Probabilistic modeling of quasibrittle fracture and size effect , 2001 .

[13]  Eugenio Dragoni,et al.  Adhesive stresses in axially-loaded tubular bonded joints – Part I: Critical review and finite element assessment of published models , 2013 .

[14]  Liyong Tong,et al.  An Assessment of Failure Criteria to Predict the Strength of Adhesively Bonded Composite Double Lap Joints , 1997 .

[15]  J. Cognard,et al.  Numerical analysis and optimisation of cylindrical adhesive joints under tensile loads , 2010 .

[16]  Shanmugam Kumar,et al.  An elastic solution for adhesive stresses in multi-material cylindrical joints , 2016 .

[17]  Shanmugam Kumar,et al.  On axisymmetric adhesive joints with graded interface stiffness , 2013 .

[18]  L.F.M. da Silva,et al.  Adhesively bonded joints in composite materials: An overview , 2009 .

[19]  D. Paolino,et al.  Adhesive stresses in axially-loaded tubular bonded joints - Part II: development of an explicit closed-form solution for the Lubkin and Reissner model , 2014 .

[20]  Thomas Keller,et al.  Probabilistic strength prediction for double lap joints composed of pultruded GFRP profiles – Part II: Strength prediction , 2006 .

[21]  T. Keller,et al.  Adhesively bonded joints composed of pultruded adherends : Considerations at the upper tail of the material strength statistical distribution , 2009 .

[22]  J. K. Spelt,et al.  Analytical models of adhesively bonded joints—Part I: Literature survey , 2009 .

[23]  Ole Thybo Thomsen,et al.  Elasto-static and elasto-plastic stress analysis of adhesive bonded tubular lap joints , 1992 .

[24]  Thomas Ummenhofer,et al.  Adhesively bonded steel tubes — Part I: Experimental investigations , 2019, International Journal of Adhesion and Adhesives.

[25]  F. Lachaud,et al.  Contribution to the study of cylindrical adhesive joining , 2006 .

[26]  Till Vallée,et al.  Experimental investigations and probabilistic strength prediction of linear welded double lap joints composed of timber , 2012 .

[27]  G. R. Wooley,et al.  Stress Concentration Factors for Bonded Lap Joints , 1971 .

[28]  Till Vallée,et al.  Influence of stress-reduction methods on the strength of adhesively bonded joints composed of orthotropic brittle adherends , 2010 .

[29]  Till Vallée,et al.  Experimental and numerical investigations on full-scale adhesively bonded timber trusses , 2011 .

[30]  Y. Shi,et al.  Analysis of Adhesive-Bonded Cylindrical Lap Joints Subjected to Axial Load , 1993 .

[31]  T. Keller,et al.  Adhesively bonded lap joints from pultruded GFRP profiles. Part II: joint strength prediction , 2005 .

[32]  F. Lachaud,et al.  Modeling of Cylindrical Adhesively Bonded Joints , 2009 .

[33]  Till Vallée,et al.  Adhesively Bonded Hardwood Joints under Room Temperature and Elevated Temperatures , 2014 .

[34]  Z. Birnbaum,et al.  A new family of life distributions , 1969 .

[35]  B. Bergman,et al.  On the estimation of the Weibull modulus , 1984 .

[36]  Rand R. Wilcox,et al.  Estimating the parameters of a generalized lambda distribution , 2007, Comput. Stat. Data Anal..

[37]  J. Cognard,et al.  Influence of the geometry of coaxial adhesive joints on the transmitted load under tensile and compression loads , 2012 .

[38]  Hamid Nayeb-Hashemi,et al.  Multiaxial fatigue life evaluation of tubular adhesively bonded joints , 1997 .

[39]  Robert D. Adams,et al.  Stress Analysis of Adhesive Bonded Tubular Lap Joints , 1977 .