Plate bending analysis by using a modified plate theory

CMES - Computer Modeling in Engineering and Sciences

Volumn 11, Issue 3, 2006, Pages 103-110

  Suetake, Y ^a  

^a ASHIKAGA INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

Body force; Load effect; Thick plate theory; Transverse normal stress; Transverse shear deformation

Indexed keywords

SHEAR DEFORMATION; STRESS ANALYSIS; STRESSES; SURFACE PROPERTIES;

LOAD EFFECT; THICK PLATE THEORY; TRANSVERSE NORMAL STRESS; TRANSVERSE SHEAR DEFORMATION;

COMPUTATION THEORY;

EID: 33646489824     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (23)

1. Ambartsumyan, S. A. (1975): Theory of Anisotropic Elastic Plates (translated by Norio Kamiya), Morikita, Tokyo, (in Japanese)
2. Hirashima, K.; Muramatsu, M. (1980): The Effect of Transverse Components on the Bending of Plates, Proc JSCE, Vol. 304, pp. 33-46. (in Japanese)
3. Hirashima, K.; Negishi, Y. (1983): Some Considerations on Accuracies of Typical Two-Dimensional Plate Theories including the Effects of Transverse Components, Proc JSCE, Vol. 330, pp. 1-14. (in Japanese)
4. Hirashima, K.; Negishi, Y. (1983): Study on Dynamic Characteristics (Free Vibration and Dispersion Relation) of Several Plate Theories, Proc JSCE, Vol. 333, pp. 21-34. (in Japanese)
5. Krenk, S. (1981): Theory for Elastic Plates Via Orthogonal Polynomials, J Appl Mech, Vol. 48, pp. 900-904.
6. Levinson, M. (1980): An Accurate, Simple Theory of the Static and Dynamics of Elastic plates, Mechanics Research Communications, Vol. 7, pp. 343-350.
7. Lo, K. H.; Christensen, R. M.; Wu, E. M. (1977): A High Order Theory of Plate Deformation - I. Homogeneous Plates, J Appl Mech, Vol. 44, pp. 663-668.
8. Lo, K. H.; Christensen, R. M.; Wu, E. M. (1977): A High Order Theory of Plate Deformation -II. Laminated Plates, J Appl Mech, Vol. 44, pp. 669-676.
9. Lo, K. H.; Christensen, R. M.; Wu, E. M. (1978): Stress Solution Determination for High Order Plate Theory, Int J Solids Struct, Vol. 14, pp. 655-662.
10. Long, S.; Atluri, S. N. (2002): A Meshless Local Petrov-Galerkin Method for Solving the Bending Problem of a Thin Plate, CMES: Computer Modeling in Engineering & Sciences, Vol. 3, No.1, pp.53-63.
11. Mindlin, R. D. (1951): Influence of Rotatory Inertia and Shear on Flexural Motions of Isotropic, Elasitc Plates, J Appl Mech, Vol. 18, pp. 31-38.
12. Naghdi, P.M. (1972): The Theory of Shells, in Handbuch der Physik VIa/2, C. Truesdell, ed., Springer-Verlag, Berlin, pp. 425-640.
13. Qian, L. F.; Batra, R. C.; Chen, L. M. (2003): Elasto static Deformations of a Thick Plate by using a Higher-Order Shear and Normal Deformable Plate Theory and two Meshless Local Petrov-Galerkin (MLPG) Methods, CMES: Computer Modeling in Engineering & Sciences, Vol. 4, No.1, pp.161-175.
14. Reddy, J. N. (1984): A Simple High-Order Theory for Laminated Composite Plates, J Appl Mech, Vol. 45, pp. 745-752.
15. Rehfield, L. W.; Murthy, P. L. N. (1982): Toward a New Engineering Theory of Bending: Fundamentals, AIAA J, Vol. 20, No. 5, pp. 693-699.
16. Rehfield, L. W.; Valisetty, R. R. (1984): A Simple, Refined Theory for Bending and Stretching of Homogeneous Plates", AIAA J, Vol. 22, No.1, pp. 90-95.
17. Reissner, E. (1945): The Effect of Transverse Shear Deformation on the Bending of Elastic Plates, J Appl Mech, Vol. 12, pp. A69-A77.
18. Reissner, E. (1947): On Bending of Elastic Plates, Quart Appl Mech, Vol. 5, pp. 55-68.
19. Reissner, E. (1975): On Transverse Bending of Plates including the Effects of Transverse Shear Deformation, Int J Solids Struct, Vol. 11, pp. 569-573.
20. Reissner, E. (1983): A Twelfth Order Theory of Transverse Bending of Transversely Isotropic Plates, ZAMM, Vol. 63, pp. 285-289.
21. Suetake, Y.; Tomoda, T. (2004): A Consideration of Transverse Lord Effect in Thick Plate Analyses, J Applied Mechanics (JSCE), Vol. 7, pp. 47-56. (in Japanese)
22. Suetake, Y. (2005): Influence of Lateral Load Effect on Bending Analyses of Thick Plates, J Applied Mechanics (JSCE), Vol. 8, pp. 25-32. (in Japanese)
23. Voyiadjis, G. Z.,; Baluch, M. N. (1981): Refined Theory for Flexural Motions of Isotropic Elastic Plates, J Sound Vibration, Vol. 76, pp. 57-64.