Reliability analysis of adhesive bonded scarf joints

A probabilistic model for the reliability analysis of adhesive bonded scarfed lap joints subjected to static loading is developed. It is representative for the main laminate in a wind turbine blade subjected to flapwise bending. The structural analysis is based on a three dimensional (3D) finite element analysis (FEA). For the reliability analysis a design equation is considered which is related to a deterministic code-based design equation where reliability is secured by partial safety factors together with characteristic values for the material properties and loads. The failure criteria are formulated using a von Mises, a modified von Mises and a maximum stress failure criterion. The reliability level is estimated for the scarfed lap joint and this is compared with the target reliability level implicitly used in the wind turbine standard IEC 61400-1. A convergence study is performed to validate the FEA model, and a sensitivity analysis on the influence of various geometrical parameters and material properties on the maximum stress is conducted. Because the yield behavior of many polymeric structural adhesives is dependent on both deviatoric and hydrostatic stress components, different ratios of the compressive to tensile adhesive yield stresses in the failure criterion are considered. It is shown that the chosen failure criterion, the scarf angle and the load are significant for the assessment of the probability of failure.

[1]  Young W. Kwon,et al.  Scarf Joints of Composite Materials: Testing and Analysis , 2009 .

[2]  John Dalsgaard Sørensen,et al.  Probabilistic Design of Wind Turbines , 2010 .

[3]  R. S. Raghava,et al.  The macroscopic yield behaviour of polymers , 1973 .

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

[5]  Katsuhiro Temma,et al.  A two-dimensional stress analysis of adhesive butt joints of dissimilar adherends subjected to tensile loads , 1995 .

[6]  J. Comyn,et al.  Structural Adhesive Joints in Engineering , 1984, The Aeronautical Journal (1968).

[7]  S. Sivashanker,et al.  Failure of aerospace composite scarf-joints subjected to uniaxial compression , 2005 .

[8]  Rudolf Mayer Versuche über die ebene Biegung gekrümmter Stäbe , 1926 .

[9]  Knut O. Ronold,et al.  Reliability-based design of wind-turbine rotor blades against failure in ultimate loading , 2000 .

[10]  B. Fargette,et al.  Comparison Between Experimental and Theoretical Analysis of Stress Distribution in Adhesively-Bonded Joints: Tenon and Mortise Joints and Single-Lap Joints , 1996 .

[11]  Toshiyuki Sawa,et al.  Stress analysis and strength evaluation of scarf adhesive joints subjected to static tensile loadings , 2010 .

[12]  Yasuaki Suzuki,et al.  Adhesive Tensile Strengths of Scarf and Butt Joints of Steel Plates (Relation Between Adhesive Layer Thicknesses and Adhesive Strengths of Joints) : Solid-Mechanics, Strength of Materials , 1987 .

[13]  D. J. Lekou,et al.  Mechanical property variability in FRP laminates and its effect on failure prediction , 2008 .

[14]  Andrew J. Gunnion,et al.  Parametric study of scarf joints in composite structures , 2006 .

[15]  Henrik O. Madsen,et al.  Structural Reliability Methods , 1996 .

[16]  Henrik Stensgaard Toft,et al.  Defect Distribution and Reliability Assessment of Wind Turbine Blades , 2011 .

[17]  Du Chen,et al.  Stress Distribution in Plane Scarf and Butt Joints , 1990 .

[18]  Leslie Banks-Sills,et al.  Crack Paths in Adhesive Bonds , 2002 .

[19]  F. Erdogan,et al.  Stress Distribution in Bonded Joints * , 1971 .

[20]  Niels C. Lind,et al.  Methods of structural safety , 2006 .

[21]  Jack R. Vinson,et al.  Analysis of Adhesively Bonded Joints Between Panels of Composite Materials , 1977 .

[22]  S. Gali,et al.  An effective stress/strain concept in the mechanical characterization of structural adhesive bonding , 1981 .

[23]  Ferdinando Stassi-D'Alia,et al.  Flow and fracture of materials according to a new limiting condition of yelding , 1967 .

[24]  Dick Veldkamp A probabilistic evaluation of wind turbine fatigue design rules , 2008 .