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Buckling and transient behaviour of layered composite plates under thermomechanical loading
Author(s) -
Shukla K.K.,
Nath Y.,
Kreuzer E.
Publication year - 2005
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200310170
Subject(s) - chebyshev polynomials , materials science , buckling , nonlinear system , composite number , discretization , mathematical analysis , extrapolation , transverse plane , composite material , mathematics , structural engineering , physics , quantum mechanics , engineering
The present paper employs an analytical solution, based on double Chebyshev series technique for the dynamic buckling of composite laminated rectangular plates under transient in‐plane mechanical loading and transverse temperature gradient across the thickness. The formulation is based on first‐order shear deformation theory and von‐Kármán's nonlinearity. The governing nonlinear coupled partial differential equations of motion are linearized by quadratic extrapolation technique and discretized in space domain and time domain by fast converging Chebyshev polynomials and Houbolt time marching scheme, respectively. The resulting simultaneous linear algebraic equations are solved, iteratively. Buckling and response results are presented for uniaxial and biaxial in‐plane mechanical loadings along with transverse temperature gradient across the thickness of symmetric and unsymmetric angle‐ply and cross‐ply laminated composite rectangular plates with different edge conditions.