Stress analyses of laminates under cylindrical bending

Communications in Numerical Methods in Engineering

Volumn 24, Issue 1, 2008, Pages 15-32

  Kant, Tarun ^a   Desai, Yogesh ^a   Pendhari, Sandeep ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY BOMBAY   (India)

Author keywords

Composites; Cylindrical bending; Laminates; Numerical integration; Runge Kutta Gill method; Sandwich; Semi analytical method

Indexed keywords

BENDING (DEFORMATION); BOUNDARY CONDITIONS; COMPOSITE MATERIALS; ELASTICITY; INITIAL VALUE PROBLEMS; INTERFACES (MATERIALS); ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; RUNGE KUTTA METHODS; SANDWICH STRUCTURES; STRAIN; STRESS ANALYSIS;

INTERLAMINAR STRESS; ORTHOGONAL TRIGONOMETRIC FUNCTION; RUNGE-KUTTA-GILL METHOD; SEMI-ANALYTICAL METHOD;

LAMINATES;

BENDING (DEFORMATION); BOUNDARY CONDITIONS; COMPOSITE MATERIALS; ELASTICITY; INITIAL VALUE PROBLEMS; INTERFACES (MATERIALS); LAMINATES; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; RUNGE KUTTA METHODS; SANDWICH STRUCTURES; STRAIN; STRESS ANALYSIS;

EID: 38349156136     PISSN: 10698299     EISSN: 10990887     Source Type: Journal    
DOI: 10.1002/cnm.952     Document Type: Article

References (18)

1. Pagano NJ. Exact solutions for composites laminates in cylindrical bending. Journal of Composite Materials 1969; 3:398-411.
2. Reissner E, Stavsky Y. Bending and stretching of certain types of heterogeneous aeolotropic elastic plates. Journal of Applied Mechanics (ASME) 1961; 28:402-428.
3. Whitney JM. Cylindrical bending of unsymmetrically laminated plates. Journal of Composite Materials 1969; 3:715-719.
4. Mau ST. A refined laminated plate theory. Journal of Applied Mechanics (ASME) 1973; 40:606-607.
5. Reissner E. The effect of transverse shear deformation on the bending of elastic plates. Journal of Applied Mechanics (ASME) 1945; 12:69-77.
6. Mindlin RD. Influence of rotatory inertia and shear deformation on flexural motions of isotropic elastic plates. Journal of Applied Mechanics (ASME) 1951; 18:31-38.
7. Hildebrand FB, Reissner E, Thomas GB. Note on foundations of the theory of small displacements of orthotropic shells. NACA TN-1833, 1949.
8. Lo KH, Christensen RM, Wu EM. A higher order theory of plate deformation, Part-I: Homogenous plates. Journal of Applied Mechanics (ASME) 1977; 44(4):663-668.
9. Lo KH, Christensen RM, Wu EM. A higher order theory of plate deformation, Part-II: Laminated plates. Journal of Applied Mechanics (ASME) 1977; 44(4):669-676.
10. Kant T. Numerical analysis of thick plates. Computer Methods in Applied Mechanics and Engineering 1982; 31:1-18.
11. Reddy JN. A simple higher-order theory for laminated composite plate. Journal of Applied Mechanics (ASME) 1984; 51:745-752.
12. Pandya BN, Kant T. A consistent refined theory for flexure of a symmetric laminate. Mechanics Research Communications 1987; 14:107-113.
13. Kant T, Manjunathan BS. On accurate estimation of transverse stresses in multilayer laminates. Computers and Structures 1994; 50(3):351-365.
14. Kant T, Swaminathan A. Analytical solutions for the static analysis of laminated composite and sandwich plates based on a higher order refined theory. Composite Structures 2002; 56:329-344.
15. Kantorovich LV, Krylov VI. Approximate Methods of Higher Analysis (3rd edn). Noordhoff: Groningen, 1958; 304-327.
16. Kant T, Ramesh CK. Numerical integration of linear boundary value problems in solid mechanics by segmentation method. International Journal for Numerical Methods in Engineering 1981; 17:1233-1256.
17. Kant T, Pendhari S, Desai P, Gadgil M, Desai YM. On a semi-discretization method for three dimensional boundary value problems. Proceedings of Structural Engineering Covention-2005 (SEC-2005), Indian Institute of Science, Bangalore 560012, India, 14-16 December 2005; 267-270.
18. Pagano NJ. Exact solutions of rectangular bidirectional composites and sandwich plates. Journal of Composite Materials 1970; 4:20-34.