On non-linear thermal stresses in an adhesively bonded single lap joint

Abstract Since adhesive joints consist of adhesive and adherends with different mechanical and thermal properties, the adhesive and adherends present different stress and strain states under thermal loads due to the thermal–mechanical mismatches. Thermal strains result in serious stresses even though the adhesive joints are not restrained. In this study, the thermal stress analysis of an adhesively bonded single lap joint (SLJ) was carried out considering the large displacement effects. In the thermal analysis, the outer surfaces of the SLJ are assumed to be subjected to air flows with different temperature and velocity. The final temperature distribution in the adhesive joint was used to compute thermal strains. Later, the geometrical non-linear stress analysis of the SLJ was carried out for four adherend edge conditions using the incremental FEM. Thermal strain concentrations were observed inside the adhesive fillets around the free ends of the adhesive layer. The top and bottom surfaces of the adherends also experienced high thermal stresses. The detailed analysis showed that the most critical adhesive regions were the free ends of the adhesive–adherend interfaces. It was observed that thermal loads caused serious stress and strain concentrations in joint members as well as the structural loads (Structural adhesive joints in engineering. London: Elsevier Applied Science; 1984). In order to reduce the peak stresses at the critical adhesive and adherend regions increasing the overlap length was not beneficial for all adherend edge conditions.

[1]  M. Apalak Geometrically non-linear analysis of adhesively bonded double containment corner joints , 1998 .

[2]  M. K. Apalak Geometrically non-linear analysis of adhesively bonded corner joints , 1999 .

[3]  A. Saada Elasticity : theory and applications , 1993 .

[4]  M. Kemal Apalak Geometrically non-linear analysis of an adhesively bonded modified double containment corner joint — I , 1998 .

[5]  Anders Klarbring,et al.  A geometrically nonlinear model of the adhesive joint problem and its numerical treatment , 1992 .

[6]  J. N. Reddy,et al.  Non-linear analysis of adhesively bonded joints , 1988 .

[7]  G. Papanicolaou,et al.  Thermal stress concentration due to imperfect adhesion in fiber-reinforced composites , 1997 .

[8]  M. Jin,et al.  Effect of curing temperature on the adhesion strength of polyamideimide/copper joints , 1998 .

[9]  M. Kleiber Incremental Finite Element Modelling in Non-Linear Solid Mechanics , 1989 .

[10]  P. Czarnocki,et al.  Non-linear numerical stress analysis of a symmetric adhesive-bonded lap joint , 1986 .

[11]  Toshiyuki Sawa,et al.  A two-dimensional finite element thermal stress analysis of adhesive butt j oints containing some hole defects , 1999 .

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

[13]  T. Sawa,et al.  Two-Dimensional Transient Thermal Stress Analysis of Adhesive Butt Joints , 1999 .

[14]  David A. Dillard,et al.  Residual Stress Development in Adhesive Joints Subjected to Thermal Cycling , 1998 .

[15]  Robert D. Adams,et al.  Stress Analysis and Failure Properties of Carbon-Fibre-Reinforced-Plastic/Steel Double-Lap Joints , 1986 .

[16]  Cv Clemens Verhoosel,et al.  Non-Linear Finite Element Analysis of Solids and Structures , 1991 .

[17]  K. Ohji,et al.  Thermal Residual Stresses in Bonded Dissimilar Materials and Their Singularities , 1996 .

[18]  Sadik Kakaç,et al.  Convective Heat Transfer , 1995 .

[19]  O. C. Zienkiewicz,et al.  The finite element method, fourth edition; volume 2: solid and fluid mechanics, dynamics and non-linearity , 1991 .

[20]  Dai Gil Lee,et al.  Optimal Design of the Adhesively-Bonded Tubular Single Lap Joint , 1995 .

[21]  Raul H. Andruet,et al.  Two- and three-dimensional geometrical nonlinear finite elements for analysis of adhesive joints , 2001 .

[22]  Robert D. Adams,et al.  The influence of local geometry on the strength of adhesive joints , 1987 .

[23]  E. Reedy,et al.  Butt joint strength: effect of residual stress and stress relaxation , 1996 .

[24]  J. Harris,et al.  Strength prediction of bonded single lap joints by non-linear finite element methods , 1984 .

[25]  K. S. Jeong,et al.  Strength analysis of adhesively-bonded tubular single lap steel-steel joints under axial loads considering residual thermal stresses , 1997 .

[26]  M. Apalak,et al.  Geometrically non-linear analysis of adhesively bonded double containment cantilever joints , 1997 .

[27]  D. Lee,et al.  Influence of fabrication residual thermal stresses on rubber-toughened adhesive tubular single lap steel-steel joints under tensile load , 1998 .

[28]  A. Abedian,et al.  Effects of surface geometry of composites on thermal stress distribution: a numerical study , 1999 .

[29]  L. E. Malvern Introduction to the mechanics of a continuous medium , 1969 .

[30]  Anthony J. Kinloch,et al.  Developments in adhesives , 1977 .