Several Theorems in Linear Thin-Walled Beam Theory

Part of the Solid Mechanics and Its Applications book series (SMIA, volume 131)


Reciprocal Theorem Governing Equation System Linearize Field Equation Denumerable Sequence Multilayered Anisotropic Shell 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Achenbach, J. D. (2000) “Calculation of Surface Wave Motion Due to a Subsurface Point Force: An Application of Elastodynamic Reciprocity,” Journal of Acoustical Society of America, Vol. 107, No. 4, pp. 1892–1897.Google Scholar
  2. Fung, Y. C. (1965) Foundations of Solid Mechanics, Prentice-Hall, Inc., Englewood Cliffs, New Jersey.Google Scholar
  3. de Hoop, A. T. (1995) Handbook of Radiation and Scattering of Waves, Academic Press, London.Google Scholar
  4. Graffi, D. (1963) “Sui Teoremi di Reciprocita nei Fenomeni Non Stazionari,” Atti Accad. Sci. Bologna, Vol. 11, No. 10, pp. 33–40.MathSciNetGoogle Scholar
  5. Greif, D. (1964) “A Dynamic Reciprocal Theorem for Thin Shells,” Journal of Applied Mechanics, (Trans. ASME), December, pp. 724–726.Google Scholar
  6. Gurtin, M. E. (1972) “The Linear Theory of Elasticity,” in Hanbuck der Physik, C. Truesdell (Ed.), Springer Verlag, Berlin, pp. 1–273.Google Scholar
  7. Hetnarski, R. B. and Ignaczak, J. (2003) Mathematical Theory of Elasticity, Taylor & Francis.Google Scholar
  8. Ionescu-Cazimir, V. (1964) “Problem of Linear Coupled Thermoelasticity Reciprocal Theorems for the Dynamic Problem of Thermoelasticity,” Bull. Acad. Polon. Sci., Série Sci. Techn., Vol. 12, No. 9, pp. 473–480.Google Scholar
  9. Irschik, H. and Pichler, U. (2001) “Dynamic Shape Conrol of Solids and Structures by Thermal Expansion Strain,” Journal of Thermal Stresses, Vol. 24, pp. 565–576.Google Scholar
  10. Librescu, L. (1975a) Elastostatics and Kinetics of Anisotropic and Heterogeneous Shell-Type Structures, Noordhoff International Publishing, Leyden, Netherlands, pp. 560–598.Google Scholar
  11. Librescu, L., (1975b) “Some Results Concerning the Refined Theory of Elastic Multilayered Shells, Part II, “The Linearized Field Equations of Anisotropic Laminated Shells,” Revue Roumaine des Science Techniques-Mécanique Appliquée, Vol. 20, No. 4, pp. 573–583.zbMATHMathSciNetGoogle Scholar
  12. Librescu, L. (1976) “On The Theory of Multilayered Anisotropic Shells,” Part II — Mechanika Polimerov, Vol. 12, No. 1, pp. 100–109 (in Russian) [English translation in Polymer Mechanics, Plenum Press, January 1977, pp. 82–90].Google Scholar
  13. Meirovitch, L. (1997) Principles and Techniques of Vibration, Prentice Hall, New Jersey.Google Scholar
  14. Mindlin, R. D. and Goodman, L. E. (1950) “Beam Vibrations with Time-Dependent Boundary Conditions,” Journal of Applied Mechanics, (Trans. ASME), Vol. 72, pp. 377–380.MathSciNetGoogle Scholar
  15. Nowacki, W. (1976) Dynamic Problems of Thermoelasticity, Noordhoff International Publisher.Google Scholar
  16. Pilkey, W. (1967) “Dynamic Response of Elastic Bodies Using the Reciprocal Theorem,” Journal of Applied Mechanics, (Trans. ASME), September, pp. 774–775.Google Scholar
  17. Song, O., Ju, J. S. and Librescu, L. (1998) “Dynamic Response of Anisotropic Thin-Walled Beams to Blast and Harmonically Oscillating Loads,” International Journal of Impact Engineering, Vol. 21, No. 8, pp. 663–682.CrossRefGoogle Scholar

Copyright information

© Springer 2006

Personalised recommendations