Linear Analysis of Composite Laminated Plates Using First Order Shear Deformable Theory
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Dynamic Relaxation (DR) method is presented for the analysis of geometrically linear laterally loaded, rectangular laminated plates. The analysis uses the Mindlin plate theory which accounts for transverse shear deformations. A computer program has been compiled. The convergence and accuracy of the DR solutions of isotropic, orthotropic, and laminated plates for elastic small deflection response are established by comparison with different exact and approximate solutions. The present Dynamic Relaxation (DR) method shows a good agreement with other analytical and numerical methods used in the verification scheme.
It was found that: The convergence and accuracy of the DR solution is dependent on several factors which include boundary conditions, mesh size and type, fictitious densities, damping coefficients, time increment and applied load. Also, the DR small deflection program using uniform meshes can be employed in the analysis of different thicknesses for isotropic, orthotropic or laminated plates under uniform loads in a fairly good accuracy.
Turvey G.J. and Osman M.Y., Elastic large defection analysis of Isotropic rectangular Mindlin plates, International Journal of Mechanical sciences, vol. 22, 1990, PP. 1 – 14.
Reddy J.N., A refined non – linear theory of plates with transverse Shear deformation, International Journal of solids and structures, vol. 20, No 9 / 10, 1984, PP. 881 – 896.
Onsy Roufaeil, Thanh Tran – Cong, Finite strip elements for laminated composite plates with transverse shear strain discontinuities, composite structures, vol.56, 2002, pp. 249 – 258.
Turvey G.J. and Osman M.Y., Large defection analysis of orthotropic Mindlin plates, proceedings of the 12th energy resources technical conference and exhibition, Houston, Texas, 1989, pp. 163 – 172.
Srinivas S. and Rao A.K., Bending, vibration and buckling of simply Supported thick orthotropic rectangular plates and laminates vol.6, 1970, pp. 1463 – 1481.
Reddy J.N., A penalty plate – bending element for the analysis of laminated anisotropic composite plates, International Journal for numerical methods in Engineering, vol. 15, 1980, PP. 1187 – 1206.
Zenkour A.M. and Fares M .E. “Non – homogeneous response of cross – ply laminated elastic plates using a higher order theory”, composite Structures, vol. 44, 1999 pp. 297 – 305.
Librescu L. Khdeir A.A. Analysis of symmetric cross – ply laminated Elastic plates using a higher – order theory. Part I – stress and Displacement”, composite structure, vol. 9, 1988, pp. 189 – 213.
Rushton K.R., Large deflection of variable thickness plates, International Journal of mechanical sciences, vol. 10, 1968, PP. 723 – 735.
Cassel A.C. and Hobbs R.E., Numerical stability of dynamic Relaxation methods in engineering, vol. 35, No. 4, 1966, pp. 1407 – 1410.
Day A.S., An Introduction to Dynamic Relaxation, the engineer, vol. 219, No. 5688, 1965, pp. 218 – 221.
Reddy J.N. A simple higher order theory for laminated composite plates, Journal of Applied Mechanics, vol. 51, No 745, 1984, pp. 745-752.
Vuksanovic Dj, linear analysis of laminated composite plates using single layer higher order discrete models, composite structures, vol.48, 2000, pp. 205-211.
Vuksanovic Dj, linear analysis of laminated composite plates using single layer higher order discrete models, composite science and technology, 1998, pp. 377 – 382.
Putcha N.S. and Reddy J.N., A refined mixed shear flexible finite element for the nonlinear analysis of laminated plates, computers and structures, vol. 22, No.4, 1986, pp. 529 – 538.
Reissner E. and Stavsky Y., Bending and stretching of certain types of heterogeneous Aeolotropic plates, Journal of applied Mechanics, vol. 28, 1961, pp. 402 – 408.
Hui – Shen Shen, large deflection of composite laminated plates under transverse and in plane loads and resting on elastic foundation, computers structures, vol. 45, 1999, pp. 115 – 123.
Ji – Fan He, Shuang – Wang Zhang, Symmetric deformation analysis of symmetric laminated plates including transverse shear and normal effects, computers structures, vol. 45, 1999, pp. 205 – 226.
Turvey G.J. and Osman M.Y., large deflection effects in anti-symmetric cross ply laminated strips and plates, I.H. Marshall, composite structures, vol.6, paisley college, Scotland, Elsevier science publishers, 1991, pp. 397 – 413.
Pagano N. J, Exact solutions for rectangular bi directional composites and sandwich plates, Journal of composite materials, vol.4, 1970, pp. 20 – 34.
Taner Timarci, Metin Aydogdu, Buckling of symmetric cross ply square plates with various boundary conditions, composite structures, vol. 68, 2005, pp. 381 – 389.
Phan N.D. and Reddy J.N., Analysis of laminated composite plate using higher order shear deformation theory, international Journal of numerical method in engineering, vol.21, 1985, pp. 2201 – 2219.
Reddy J.N. and Chao W.C., Nonlinear bending of thick rectangular laminated composite plates, International Journal of nonlinear mechanics, vol.16, No, 314, 1981, pp. 291- 301.
Prabhu Madabhusi – Raman, and Julio F. Davalos, static shear correction factor for laminated rectangular beams, composites: part B, 27B, 1996, pp. 285 – 293.
Wang J., Liew K.M., Tan M.J., and Rajendran S., Analysis of International Journal of mechanical sciences, vol. 44, 2002, pp. 1275 – 1293.
Damodar R. Ambur, Navin Jaunkey, Mark Hilburger, Carlos G. Davila, Regressive failure analysis of compression loaded composite curved panels with and without cutouts, composite structures, vol. 65, 2004, pp. 143 – 155.
Ying Qing Huang, Shenglin Di, Chang Chun Wu, and Huiya Sun, Bending analysis of composite laminated plates using a partially hybrid stress element with interlaminar continuity, computer and structures, vol. 80, 2002, pp. 403 – 410.
Aalami B., large deflection of elastic plates under patch loading, Journal of structural division, ASCE, vol.98, No. ST 11, 1972, pp. 2567 – 2586.
Osama Mohammed Elmardi Suleiman, Verification of dynamic relaxation method in isotropic, orthotropic and laminated plates using small deflection theory, International Journal of Advanced Science and Technology, volume 72; 2014, pp. 37 – 48.
Osama Mohammed Elmardi Suleiman, Nonlinear analysis of rectangular laminated plates using large deflection theory, International Journal of Emerging Technology and Research, volume 2, issue 5; 2015, pp. 26 – 48.
Osama Mohammed Elmardi Suleiman, Validation of Dynamic Relaxation (DR) Method in Rectangular Laminates using Large Deflection Theory, International Journal of Advanced Research in Computer Science and Software Engineering , volume 5, issue 9; September 2015, pp. 137 – 144.
Osama Mohammed Elmardi Suleiman, Nonlinear analysis of rectangular laminated plates, Lap Lambert Academic Publishing, Germany, and ISBN: 978-3-659-76787-6; 2015.
Osama Mohammed Elmardi Suleiman, Text Book on Dynamic Relaxation Method, Lap Lambert Academic Publishing, Germany, and ISBN: 978-3-659-94751-3; 2016.
Osama Mohammed Elmardi Suleiman, Introduction and Literature Review on Buckling of Composite Laminated Plates, Lap Lambert Academic Publishing, Germany, and ISBN: 978-3-659-86387-5; 2016.
Osama Mohammed Elmardi Suleiman, Bibliography and Literature Review on Buckling of Laminated Plates, International Journal of Science and Engineering, volume 2, issue 8; August 2016, pp. 104 – 112.
Osama Mohammed Elmardi Suleiman, Theories of Composite Plates and Numerical Methods Used on Bending and Buckling of Laminated Plates, International Journal of Engineering Research And Advanced Technology (IJERAT), volume 2, issue 10; October 2016, pp. 1 –12.
Osama Mohammed Elmardi Suleiman, Dynamic Relaxation Method, Anchor Academic Publishing, Germany, ISBN (eBook) 9783960675846, and ISBN (Book); 2016.
Osama Mohammed Elmardi Suleiman Khayal, Convergence and Accuracy of Dynamic Relaxation Technique in Determination of Central Deflection of Composite Rectangular Lamina, Internati- onal Journal of Scientific Research Engineering & Technology (IJSRET), Volume 5, Issue 10, October 2016, pp. 502 – 509.
Osama Mohammed Elmardi Suleiman, Deflection and Stress Analysis of Fibrous Composite Laminates, International Journal of Advanced Research in Computer Science and Software Engineering (IJARCSSE), volume 6, issue 8; August 2016, pp. 105 – 115.
Osama Mohammed Elmardi Suleiman, Imperfection of composite laminated plates,International Journal of Engineering Research And Advanced Technology (IJERAT), volume 2, issue 9; September 2016, pp. 6 –10.
Osama Mohammed Elmardi Suleiman, Analysis of composite Laminated Plates, International Journal of Advances in Scientific Research and Engineering (IJASRE), volume 2, issue 8; September 2016, pp. 24 –41.