Influence of neutral surface position on the nonlinear stability behavior of functionally graded plates
Tóm tắt
Nonlinear behavior of functionally graded material (FGM) skew plates under in-plane load is investigated here using a shear deformable finite element method. The material is graded in the thickness direction and a simple power law based on the rule of mixture is used to estimate the effective material properties. The neutral surface position for such FGM plates is determined and the first order shear deformation theory based on exact neutral surface position is employed here. The present model is compared with the conventional mid-surface based formulation, which uses extension-bending coupling matrix to include the noncoincidence of neutral surface with the geometric mid-surface for unsymmetric plates. The nonlinear governing equations are solved through Newton–Raphson technique. The nonlinear behavior of FGM skew plates under compressive and tensile in-plane load are examined considering different system parameters such as constituent gradient index, boundary condition, thickness-to-span ratio and skew angle.
Tài liệu tham khảo
Koizumi M (1993) The concept of FGM. Ceramic Trans Funct Graded Mater 34: 3–10
Suresh S, Mortensen A (1997) Functionally graded metals and metal-ceramic composites—Part 2. Thermomechanical behavior. Int Mat Rev 42: 85–116
Birman V (1995) Buckling of functionally graded hybrid composite plates. In: Proceedings of the 10th Conference on Engineering Mechanics, Boulder, Colorado, vol 2, pp 1199–1202
Feldman E, Aboudi J (1997) Buckling analysis of functionally graded plates subjected to uniaxial loading. Composite Struct 38: 29–36
Javaheri R, Eslami MR (2002) Buckling of functionally graded plates under in-plane compressive loading. ZAMM 82: 277–283
Chen XL, Liew KM (2004) Buckling of rectangular functionally graded material plates subjected to nonlinearly distributed in-plane edge loads. Smart Mater Struct 13: 1430–1437
Ganapathi M, Prakash T, Sundararajan N (2006) Influence of functionally graded material on buckling of skew plates under mechanical loads. J Eng Mech ASCE 132(8): 902–905
Najafizadeh MM, Eslami MR (2002) Buckling analysis of circular plates of functionally graded materials under uniform radial compression. Int J Mech Sci 44: 2479–2493
Sharjat BAS, Javaheri R, Eslami MR (2005) Buckling of imperfect functionally graded plates under in-plane compressive loading. Thin-Walled Struct 43: 1020–1036
Leissa AW (1986) Conditions for laminated plates to remain flat under inplane loading. Composite Struct 6: 261–270
Qatu MS, Leissa AW (1993) Buckling or transverse deflections of unsymmetrically laminated plates subjected to in-plane loads. AIAA J 31: 189–194
Aydogdu M (2008) Conditions for functionally graded plates to remain flat under in-plane loads by classical plate theory. Composite Struct 82: 155–157
Liew KM, Yang J, Kitipornchai S (2003) Postbuckling of piezoelectric FGM plates subject to thermo-electro-mechanical loading. Int J Solids Struct 40: 3869–3892
Shen H-S (2005) Postbuckling of FGM plates with piezoelectric actuators under thermo-electro-mechanical loadings. Int J Solids Struct 42: 6101–6121
Prathap G, Naganarayana BP, Somashekar BR (1988) A field consistency analysis of the isoparametric eight-noded plate bending elements. Comput Struct 29: 857–874
Ganapathi M, Varadan TK, Sarma BS (1991) Nonlinear flexural vibrations of laminated orthotropic plates. Comput Struct 39: 685–688
Praveen GN, Reddy JN (1998) Nonlinear transient thermoelstic analysis of functionally graded ceramic metal plates. Int J Solids Struct 35: 4457–4476
Zienkiewicz OC, Taylor RL (1989) The finite element method. McGraw-Hill, Singapore
Hinton E, Huang HC (1986) A family of quadrilateral Mindlin plate elements with substitute shear strain fields. Comput Struct 23: 409–431
Singha MK, Ramachandra LS, Bandyopadhyay JN (2001) Thermal postbuckling analysis of laminated composite plates. Composite Struct 54: 453–458
Prakash T, Singha MK, Ganapathi M (2008) Thermal postbuckling analysis of FGM skew plates. Eng Struct 30: 22–32
Sundaresan P, Singh G, Rao GV (1996) Buckling and post-buckling analysis of moderately thick laminated rectangular plates. Comput Struct 61: 79–86
Yang J, Shen H-S (2003) Non-linear analysis of functionally graded plates under transverse and in-plane loads. Int J Nonlinear Mech 38: 467–482