Mechanics of adhesive joints as a plane problem of the theory of elasticity. Part II: Displacement formulation for orthotropic adherends

• Autorzy: Rapp P.

Identyfikatory

DOI

10.1016/j.acme.2014.06.004

• Języki publikacji: EN

Abstrakty

EN

The present paper is a continuation of the general formulation discussed in the paper: Mechanics of adhesive joints as a plane problem of the theory of elasticity. Part I: general formulation, Archives of Civil and Mechanical Engineering 10 (2) (2010). Adhesive joints between adherends of varying thickness, made of various orthotropic materials are considered. The adhesive surface can be curved and shapes of the adherends are arbitrary. The joints can be loaded with shear stress distributed arbitrarily on the adherend surfaces as well as by normal and shear stresses of any distribution along the adherend edges. The problem is formulated in terms of displacements in the form of four partial differential equations of the second order. The boundary conditions allow for existence of sharp edges of adherends. Notions of the obtuse sharp edge and the tangent sharp edge are introduced. The presented examples include complete solutions within the framework of the plane theory of elasticity for adhesive joints with adherends of constant thickness and adherends of varying thickness and curved adhesive surface. The influence of sharp edges on the reduction of stress concentration in the adhesive and the adherends is illustrated. The assumptions, notation and equations presented in the general formulation of Part I are used.

Słowa kluczowe

EN

adhesively bonded joints; analytical models; orthotropy; reduction of stress concentration; sharp edges of adherends

PL

połączenia klejowe; teoria sprężystości; mechanika połączeń klejowych

• Wydawca: Springer ; Wrocław University of Science and Technology
• Czasopismo: Archives of Civil and Mechanical Engineering
• Rocznik: 2015
• Tom: Vol. 15, no. 2
• Strony: 603--619
• Opis fizyczny: Bibliogr. 16 poz., rys., tab., wykr.

Twórcy

autor

Rapp P.

• Poznan University of Technology, Pl. M. Sklodowskiej-Curie 5, 60-965 Poznan, Poland

Bibliografia

• [1] P. Rapp, Mechanics of adhesive joints as a plane problem of the theory of elasticity. Part I: general formulation, Archives of Civil and Mechanical Engineering 10 (2) (2010) 81–108.
• [2] J. Cea, Approximation variationelle des problemes aux limites, Annales de l'institut Fourier (Grenoble) 14 (1964) 345–388.
• [3] A. Derewonko, J. Godzimirski, K. Kosiuczenko, T. Niezgoda, A. Kiczko, Strength assessment of adhesive-bonded joints, Computational Materials Science 43 (2008) 157–164.
• [4] E. Oterkus, A. Barut, E. Madenci, S.S. Smeltzer III, D.R. Ambur, Bonded lap joints of composite laminates with tapered edges, International Journal of Solids and Structures 43 (2006) 1459–1489.
• [5] Y.C. Fung, Foundations of Solid Mechanics, Prentice-Hall Inc., 1965.
• [6] K. Girkmann, Flächentragwerke, Wien Springer-Verlag, 1956.
• [7] S.H. Ahn, G.S. Springer, Repair of Composite Laminates, U.S. Department of Transportation Federal Aviation Administration, Office of Aviation Research, Washington, DC, 2000, 20591, Final Report DOT/FAA/AR-00/46.
• [8] Y.A. Bahei-El-Din, G.J. Dvorak, New design of adhesive joints for thick composite laminates, Composites Science and Technology 61 (2001) 19–40.
• [9] J.N. Boss, V.K. Ganesh, C.T. Lim, Modulus grading versus geometrical grading of composite adherends in single-lap bonded joints, Composite Structures 62 (2003) 113–121.
• [10] R.H. Kaye, M. Heller, Through-thickness shape optimization of bonded repairs and lap-joints, International Journal of Adhesion & Adhesives 22 (2002) 7–21.
• [11] S.B. Kumar, I. Sridhar, S. Sivashanker, S.O. Osiyemi, A. Bag, Tensile failure of adhesively bonded CFRP composite scarf joints, Materials Science and Engineering B 132 (2006) 113–120.
• [12] Ch.H. Wang, A.J. Gunnion, On the design methodology of scarf repairs to composite laminates, Composites Science & Technology 68 (2008) 35–46.
• [13] R.D. Adams, W.C. Wake, Structural Adhesive Joints in Engineering, Elsevier Appl. Sci. Publ. Ltd., 1986.
• [14] J. Godzimirski, S. Tkaczuk, Numerical calculations of adhesive joints subjected to shearing, Journal of Theoretical and Applied Mechanics 45 (2) (2007) 311–324.
• [15] T.P. Lang, P.K. Mallick, Effect of spew geometry on stresses in a single lap adhesive joints, International Journal of Adhesion & Adhesives 18 (1998) 167–177.
• [16] T.P. Lang, P.K. Mallick, Effect of recessing on the stresses in adhesively bonded single-lap joints, International Journal of Adhesion & Adhesives 19 (1999) 257–271.