Stress-Strain Analysis of Single-Lap Composite Joints Under Tension

1996 ◽  
Vol 118 (2) ◽  
pp. 247-255 ◽  
Author(s):  
Chihdar Yang ◽  
Su-Seng Pang

Based on the laminated anisotropic plate theory, an analytical model is proposed to determine the stress and strain distributions of adhesive-bonded composite single-lap joints under tension. The laminated anisotropic plate theory is applied in the derivation of the governing equations of the two bonded laminates. The entire coupled system is then obtained through assuming the peel stress between the two laminates. With the Fourier series and appropriate boundary conditions, the solutions of the system are obtained. Based on the proposed model, the stress and strain distributions of the adherends and the adhesive can be predicted. The coupling effect between the external tension and the induced bending due to the asymmetry of composite laminates are also included. The two adherends can also have different materials and properties. An existing FEA code, “ALGOR,” is used as a comparison with this proposed analytical model. Results from this developed model are also compared with Goland and Reissner’s as well as Hart-Smith’s papers.

Author(s):  
Hai Huang ◽  
C. Charles Yang

Abstract An analytical model was developed to determine the stress and strain distributions of adhesive-bonded composite single-lap joints under tension. Laminated anisotropic plate theory was applied in the derivation of the governing equations of the two bonded laminates. The adhesive was assumed elastic-perfectly plastic and follows von Mises yield criterion. The entire coupled system was determined through the kinematics and force equilibrium of the adhesive and the adherends. The overall system of governing equations was solved by directly solving the differential equations with appropriate boundary conditions. Computer software Maple was used as the calculation tool in solving these equations. Results from the analytical model were verified with finite element analysis using ABAQUS and also compared with experimental results using specimens defined in ASTM D 3165 “Strength Properties of Adhesives in Shear by Tension Loading of Single-Lap-Joint Laminated Assemblies.” Although all three failure modes of bonded joints, substrate failure, cohesive, and adhesive failure, were present as the test results, only cohesive failure mode was analyzed.


2018 ◽  
Vol 29 (9) ◽  
pp. 2008-2026 ◽  
Author(s):  
Andres E Rivero ◽  
Paul M Weaver ◽  
Jonathan E Cooper ◽  
Benjamin KS Woods

Camber morphing aerofoils have the potential to significantly improve the efficiency of fixed and rotary wing aircraft by providing significant lift control authority to a wing, at a lower drag penalty than traditional plain flaps. A rapid, mesh-independent and two-dimensional analytical model of the fish bone active camber concept is presented. Existing structural models of this concept are one-dimensional and isotropic and therefore unable to capture either material anisotropy or spanwise variations in loading/deformation. The proposed model addresses these shortcomings by being able to analyse composite laminates and solve for static two-dimensional displacement fields. Kirchhoff–Love plate theory, along with the Rayleigh–Ritz method, are used to capture the complex and variable stiffness nature of the fish bone active camber concept in a single system of linear equations. Results show errors between 0.5% and 8% for static deflections under representative uniform pressure loadings and applied actuation moments (except when transverse shear exists), compared to finite element method. The robustness, mesh-independence and analytical nature of this model, combined with a modular, parameter-driven geometry definition, facilitate a fast and automated analysis of a wide range of fish bone active camber concept configurations. This analytical model is therefore a powerful tool for use in trade studies, fluid–structure interaction and design optimisation.


Author(s):  
Iskandar Hasanuddin ◽  
Husaini ◽  
M. Syahril Anwar ◽  
B.Z. Sandy Yudha ◽  
Hasan Akhyar

Possible restrictions on isotropic constitutive laws for finitely deformed elastic solids are examined from the standpoint of Hill (1968). This introduced the notion of conjugate pairs of stress and strain measures, whereby families of contending inequalities can be generated. A typical member inequality stipulates that the scalar product of the rates of change of certain conjugate variables is positive in all circumstances. Interrelations between the various inequalities are explored, and some statical implications are established. The discussion depends on several ancillary theorems which are apparently new; these have, in addition, an intrinsic interest in the broad field of basic stress—strain analysis.


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