Acta Mechanica Sinica

, Volume 4, Issue 1, pp 35–44 | Cite as

Axisymmetric solid-of-revolution elements based on the assumed stress hybrid model

  • Tian Zongshu


A series of axisymmetric solid-of-revolution elements with 8-node and quadrilateral cross section have been developed based on the assumed stress hybrid model. A quadratic boundary displacement assumption is employed for each element and a variety of interior stress assumptions have been made. Two different kinds of procedure used for developing stress field have been studied. Example problems of a thick-walled cylinder under internal pressure and a thick-walled sphere under internal pressure are utilized to evaluate the various elements and a desirable stress assumption has been identified. Comparisons of present results with those obtained by the use of 8-node element based on the assumed displacement model indicate that this hybrid stress element is far superior in predicting the stress distribution.

Key Words

axisymmetric hybrid stress method solid-of-revolution element kinematic deformation mode invariance 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Spilker, R. L. and Pian, T. H. H., A study of axisymmetric solid of revolution elements based on the assumed-stress hybrid model,Computers and Structures,9 (1978), 273–279.zbMATHCrossRefGoogle Scholar
  2. [2]
    Spilker, R. L., Improved hybrid stress axisymmetric element including behavior of nearly incompressible materials,Int. J. Num. Engng.,17 (1981), 483–501.zbMATHCrossRefGoogle Scholar
  3. [3]
    Tian, Z. S. and Pian, T. H. H., Axisymmetric solid elements by a rational hybrid stress method,Computers and Structures,20 (1985), 141–149.zbMATHCrossRefGoogle Scholar
  4. [4]
    Pian, T. H. H., Derivation of element stiffness matrices by assumed stress distributions,AIAA J. 2 (1964), 1333–1336.CrossRefGoogle Scholar
  5. [5]
    Pian, T. H. H. and Sumihara, K., Rational approach for assumed stress finite element,Int. J. Meth. Engng.,20 (1984), 1685–1695.zbMATHCrossRefGoogle Scholar
  6. [6]
    Pian, T. H. H. and Chen D. P., On the suppression of zero energy deformation modes,Int. J. Num. Meth. Engng.,19 (1983)m 1741–1752.zbMATHCrossRefGoogle Scholar

Copyright information

© Chinese Society of Theoretical and Applied Mechanics 1988

Authors and Affiliations

  • Tian Zongshu
    • 1
  1. 1.Graduate SchoolAcademia SinicaBeijing

Personalised recommendations