By S. Kumar, K. L. Mittal
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Extra resources for Advances in Modeling and Design of Adhesively Bonded Systems
He developed two different elements based on the formulation of aforementioned theories. Cooper and Sawyer  derived the Goland and Reissner equations for adhesive shear and peel stresses. The development of the equations is similar to the original with some slight modiﬁcations to improve the consistency of the analysis. Li et al.  used nonlinear ﬁnite element analysis to investigate the stress and strain distributions across the adhesive thickness in SLJs where the adherends consist of composite material.
1 Geometry, boundary conditions and loading for the model joint. 1 Material properties of Al and FM-73 . 2 An example of ﬁnite element mesh for the model joint. 1 Stress Distribution along Overlap Length From Eq. 5, we notice that the paramters ti in the Prony series for FM-73 are relatively small, which means the material will relax and come to a steady state very quickly. Therefore, the stress states at two time steps, t = 2s, and t = 50s are used. 4 show the comparison of shear stress and peel stress along the overlap length at t = 2s and t = 50s.
Bigwood and Crocombe proposed simple elastic design formulae for bonded joints ensuring strain continuity at the adherend-adhesive interface and assuming a 2D plane strain state . Oplinger analyzed the effects of adherend deﬂection in single lap joints . Tsai and Morton evaluated the single-lap joint analytically and compared with nonlinear ﬁnite element analysis results . , proposed improved theoretical solutions for adhesively bonded single- and double-lap joints . Pandey’s group conducted 2D  and 3D  geometrically nonlinear FE studies on single lap joints, considering viscoplastic constitutive behavior of the adhesive and found a decrease of peel and shear stresses in the adhesive interlayer.