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Boundary element analysis of symmetrically laminated plates. (English) Zbl 1130.74473
Summary: Symmetrically laminated plates are analysed by the boundary element method. A common numerical scheme is devised for the linear, uncoupled plane stress and plate flexure problems. A generic formulation is based on adopting the stress function and the deflection as field variables in the respective problems. Their mathematical similarity allows the use of essentially the same fundamental solution and almost identical solution algorithms. The application of plane stress and flexure analyses to several benchmark problems illustrates the versatility of the formulations and the degree of accuracy achieved. In the case of flexure in particular, comparisons are made with results from earlier boundary element analyses.

MSC:
74S15 Boundary element methods applied to problems in solid mechanics
74K20 Plates
74E30 Composite and mixture properties
Software:
ANSYS
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References:
[1] Rizzo, F.J.; Shippy, D.J., A method for stress determination in plane anisotropic elastic bodies, J compos mat, 4, 36-61, (1970)
[2] Zastrow, U., Solution of plane anisotropic elastostatical boundary-value- problems by singular integral-equations, Acta mechanica, 44, 9-71, (1982) · Zbl 0492.73010
[3] Benjumea, R.; Sikarskie, D.L., On the solution of plane orthotropic elasticity problems by an integral method, Trans ASME, J appl mech, 39, 801-808, (1972) · Zbl 0261.73019
[4] Vable, M.; Sikarskie, D.L., Stress analysis in plane orthotropic material by the boundary element method, Int J solids struct, 24, 1-11, (1988) · Zbl 0625.73093
[5] Lee, K.J.; Mal, A.K., A boundary element method for plane anisotropic elastic media, Trans ASME. J appl mech, 57, 600-606, (1990) · Zbl 0724.73256
[6] Wu, K.C.; Chiu, Y.T.; Hwu, Z.H., A new boundary integral-equation formulation for linear elastic solids, J appl mech-trans ASME, 59, 344-348, (1992) · Zbl 0761.73115
[7] Wu, K.C., Nonsingular boundary integral equations for two-dimensional anisotropic elasticity, J appl mech-trans ASME, 67, 618-621, (2000) · Zbl 1110.74760
[8] Wu, B.C.; Altiero, N.J., A new numerical method for the analysis of anisotropic thin-plate bending problems, Comp meth appl mech engng, 25, 343-353, (1981) · Zbl 0478.73076
[9] Irschik, H., A boundary-integral equation method for bending of orthotropic plates, Int J solids struct, 20, 245-255, (1984) · Zbl 0532.73079
[10] Kamiya, N.; Sawaki, Y., A general boundary element method for bending analysis of orthotropic elastic plates, Res mech, 5, 329-334, (1982)
[11] Shi, G.; Bezine, G., A general boundary integral formulation for the anisotropic plate bending problems, J compos mat, 22, 694-716, (1988)
[12] John, F., Plane waves and spherical means applied to partial differential equations, (1955), Interscience Publishers New York · Zbl 0067.32101
[13] Syngellakis, S.; Elzein, A., Plate buckling loads by the boundary element method, Int J num meth eng, 37, 1763-1778, (1994) · Zbl 0804.73073
[14] Timoshenko, S.P.; Woinowsky-Krieger, S., Theory of plates and shells, (1959), McGraw-Hill New York · Zbl 0114.40801
[15] Lekhnitskii, S.G., Anisotropic plates, (1968), Gordon and Breach New York
[16] ANSYS 6.1, SAS IP Inc., http://www.ansys.com, Canonsburg, PA, 2000.
[17] Whitney, J.M., Structural analysis of laminated anisotropic plates, (1987), Technomic Publishing Ohio
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