On Accurate Stress Analysis of Composite and Sandwich Narrow Beams

A New Partial Discretization Methodology for Narrow Composite Beams Under Plane Stress Conditions

“…The numerical results of normalized midplane transverse displacement (w), longitudinal normal stress (σ x ) and transverse shear stress (τ xz ) of different length-to-depth ratios are shown in Table 4. Results are compared with mixed semianalytical solutions presented by Kant et al [2007]. This comparison clearly shows the agreement between the present mixed semidiscrete and mixed semianalytical results.…”

“…Both layers have an identical thickness. The analytical solution with a higher-order shear deformation theory given by Shimpi and Ghugal [1999], the displacement-based HOSNT FE solution by Manjunatha and Kant [1993], the mixed FE solution by Desai and Ramtekkar [2000] and the mixed semianalytical solution by Kant et al [2007] have been used for the comparison. Table 2 presents the comparison of normalized midplane transverse displacement (w), longitudinal normal stress (σ x ) and transverse shear stress (τ xz ) for different length-to-depth ratios.…”

“…The normalized midplane transverse displacement (w), longitudinal normal stress (σ x ) and transverse shear stress (τ xz ) for different length-to-depth ratios are presented in Table 3. Results obtained through the present analysis under plane stress conditions have been compared with HOSNT (FE analysis given by Manjunatha and Kant [1993]), mixed FE analysis by Desai and Ramtekkar [2000] and mixed semianalytical solutions of Kant et al [2007], respectively. Through-thickness variations of normalized longitudinal normal stress (σ x ), transverse shear stresses (τ xz ) and longitudinal displacement (u) for the length-to-depth ratio s = 4 are shown in Figs Manjunatha and Kant (1993) Desai and Ramtekkar (2002) [Kant et al (2007)] is seen.…”

2D semi-analytical solutions for single layer piezoelectric laminate subjected to electro-mechanical loading

“…Analysis of a piezoelectric laminate under plane strain condition of elasticity (cylindrical bending) has been performed with mixed semi-analytical model developed by Kant et al (2007). The in-plane displacement, transverse displacement, transverse normal and shear stresses, electric potential and transverse electric displacement have been considered as fundamental dependent variables.…”

“…In this paper, a simple and efficient semi-analytical model developed by Kant et al [1] is reformulated for displacement and stress analysis of a piezoelectric laminate under plane strain condition of elasticity. A simply supported piezoelectric laminate subjected to mechanical and electrical load is formulated as a two-point BVP governed by a set of first order ODEs,…”