Delamination of Two-Dimensional Functionally Graded Multilayered Non-Linear Elastic Beam - an Analytical Approach
Subject Areas : Engineering
1 - Department of Technical Mechanics, University of Architecture, Civil Engineering and Geodesy, Bulgaria
Keywords:
Abstract :
[1] Koizumi M., 1993, The concept of FGM ceramic trans, Functionally Gradient Materials 34(2): 3-10.
[2] Suresh S., Mortensen A., 1998, Fundamentals of Functionally Graded Materials, IOM Communications Ltd, London.
[3] Levashov E.A., Larikin D.V., Shtansky D.V., Rogachev A.S., Grigorian H.E., Moore J.J., 2002, Self-propagating high-temperature synthesis of functionally graded PVD targets with a ceramic working layer of TiB-TiN or TiSi-Tin, Journal of Materials Synthesis and Processing 10(2): 319.
[4] Tokova L., Yasinskyy A., Ma C. C., 2016, Effect of the layer inhomogeneity on the distribution of stresses and displacements in an elastic multilayer cylinder, Acta Mechanica 228: 2865-2877.
[5] Tokovyy Y., Ma C. C., 2013, Three-dimensional temperature and thermal stress analysis of an inhomogeneous layer, Journal of Thermal Stresses 36: 790- 808.
[6] Tokovyy Y., Ma C. C., 2016, Axisymmetric stresses in an elastic radially inhomogeneous cylinder under length-varying loadings, ASME Journal of Applied Mechanics 83: 111007-111013.
[7] Uslu Uysal M., Kremzer M., 2015, Buckling behaviour of short cylindrical functionally gradient polymeric materials, Acta Physica Polonica A 127: 1355-1357.
[8] Uslu Uysal M., 2016, Buckling behaviours of functionally graded polymeric thin-walled hemispherical shells, Steel and Composite Structures, An International Journal 21: 849-862.
[9] Szekrenyes A., 2010, Fracture analysis in the modified split-cantilever beam using the classical theories of strength of materials, Journal of Physics: Conference Series 240(4): 012030.
[10] Szekrenyes A., 2016, Semi-layerwise analysis of laminated plates with nonsingular delamination - the theorem of autocontinuity, Applied Mathematical Modelling 40(2): 1344-1371.
[11] Paulino G.C., 2002, Fracture in functionally graded materials, Engineering Fracture Mechanics 69(2): 1519-1530.
[12] Tilbrook M.T., Moon R.J., Hoffman M., 2005, Crack propagation in graded composites, Composite Science and Technology 65(2): 201-220.
[13] Carpinteri A., Pugno N., 2006, Cracks in re-entrant corners in functionally graded materials, Engineering Fracture Mechanics 73(4): 1279-1291.
[14] Upadhyay A.K., Simha K.R.Y., 2007, Equivalent homogeneous variable depth beams for cracked FGM beams; compliance approach, International Journal of Fracture 144(4): 209-213.
[15] Zhang H., Li X.F., Tang G.J., Shen Z.B., 2013, Stress intensity factors of double cantilever nanobeams via gradient elasticity theory, Engineering Fracture Mechanics 105(4): 58-64.
[16] Uslu Uysal M., Güven U., 2016, A bonded plate having orthotropic inclusion in adhesive layer under in-plane shear loading, The Journal of Adhesion 92(2): 214-235.
[17] Dahan I., Admon U., Sarei J., Yahav B., Amar M., Frage N., Dariel M. P., 1999, Functionally graded Ti-TiC multilayers: the effect of a graded profile on adhesion to substrate, Materials Science Forum 308-311(3): 923-929.
[18] Bora Y., Suphi Y., Suat K., 2008, Material coatings under thermal loading, Journal of Applied Mechanics 75(4): 051106.
[19] Sung Ryul Ch., Hutchinson J.W., Evans A.G., 1999, Delamination of multilayer thermal barrier coatings, Mechanics of Materials 31(3): 431-447.
[20] Szekrenyes A., 2016, Nonsingular crack modelling in orthotropic plates by four equivalent single layers, European Journal of Mechanics – A/Solids 55: 73-99.
[21] Petrov V.V., 2014, Non-Linear Incremental Structural Mechanics, Infra-Injeneria.
[22] Lubliner J., 2006, Plasticity Theory, University of California, Berkeley.
[23] Dowling N., 2007, Mechanical Behavior of Materials, Pearson.
[24] Hutchinson W., Suo Z., 1992, Mixed mode cracking in layered materials, Advances in Applied Mechanics 64(3): 804-810.
[25] Broek D., 1986, Elementary Engineering Fracture Mechanics, Springer.