The Membrane Theory of Shells of Revolution

C. Truesdell

doi:10.2307/1990236

The Membrane Theory of Shells of Revolution

Transactions of the American Mathematical Society ◽

10.2307/1990236 ◽

1945 ◽

Vol 58 (1) ◽

pp. 96 ◽

Cited By ~ 1

Author(s):

C. Truesdell

Keyword(s):

Membrane Theory ◽

Shells Of Revolution ◽

Theory Of Shells

Membrane Theory of Shells of Revolution

Design of Plate and Shell Structures ◽

10.1115/1.801993.ch8 ◽

2003 ◽

pp. 202-232

Keyword(s):

Membrane Theory ◽

Shells Of Revolution ◽

Theory Of Shells

On the general solution of stress equation for the membrane theory of shells of revolution

Meccanica ◽

10.1007/bf01743738 ◽

1984 ◽

Vol 19 (3) ◽

pp. 242-245

Author(s):

Guido Ravera

Keyword(s):

General Solution ◽

Membrane Theory ◽

Shells Of Revolution ◽

Stress Equation ◽

Theory Of Shells

Membrane Theory of Shells of Revolution

Theory and Design of Plate and Shell Structures ◽

10.1007/978-1-4615-2656-8_6 ◽

1994 ◽

pp. 163-192 ◽

Cited By ~ 1

Author(s):

Maan H. Jawad

Keyword(s):

Membrane Theory ◽

Shells Of Revolution ◽

Theory Of Shells

Natural structural shapes for shells of revolution in the membrane theory of shells

Structural Optimization ◽

10.1007/bf01743806 ◽

1989 ◽

Vol 1 (1) ◽

pp. 19-27 ◽

Cited By ~ 12

Author(s):

W. Stadler ◽

V. Krishnan

Keyword(s):

Membrane Theory ◽

Shells Of Revolution ◽

Theory Of Shells

A Stress Function for the Membrane Theory of Shells of Revolution

Proceedings of the National Academy of Sciences ◽

10.1073/pnas.29.5.159 ◽

1943 ◽

Vol 29 (5) ◽

pp. 159-162 ◽

Cited By ~ 4

Author(s):

P. Nemenyi ◽

C. Truesdell

Keyword(s):

Stress Function ◽

Membrane Theory ◽

Shells Of Revolution ◽

Theory Of Shells

The membrane theory of shells of revolution

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1945-0014024-0 ◽

1945 ◽

Vol 58 ◽

pp. 96-96 ◽

Cited By ~ 16

Author(s):

C. Truesdell

Keyword(s):

Membrane Theory ◽

Shells Of Revolution ◽

Theory Of Shells

Membrane Theory of Shells of Revolution

Stress in ASME Pressure Vessels, Boilers, and Nuclear Components ◽

10.1002/9781119259299.ch1 ◽

2017 ◽

pp. 1-26

Keyword(s):

Membrane Theory ◽

Shells Of Revolution ◽

Theory Of Shells

On the reliability of the membrane theory of shells of revolution

Bulletin of the American Mathematical Society ◽

10.1090/s0002-9904-1948-09122-4 ◽

1948 ◽

Vol 54 (10) ◽

pp. 994-1009 ◽

Cited By ~ 2

Author(s):

C. Truesdell

Keyword(s):

Membrane Theory ◽

Shells Of Revolution ◽

Theory Of Shells

Membrane theory of shells of revolution

Shell Structures in Civil and Mechanical Engineering ◽

10.1680/ssicame.60289.035 ◽

2017 ◽

pp. 35-56

Author(s):

Alphose Zingoni

Keyword(s):

Membrane Theory ◽

Shells Of Revolution ◽

Theory Of Shells

On Stresses in Pipeline Expansion Bellows

Journal of Pressure Vessel Technology ◽

10.1115/1.3265591 ◽

1988 ◽

Vol 110 (2) ◽

pp. 215-217 ◽

Cited By ~ 1

Author(s):

A. V. Singh

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Analytical Procedure ◽

Circumferential Stress ◽

Shell Element ◽

Shells Of Revolution ◽

Axisymmetric Shell ◽

Stress Components ◽

Stress Patterns ◽

Theory Of Shells

An analytical procedure employing the general theory of shells of revolution and finite element method is presented to examine the stress patterns along the convolution of the pipeline expansion bellows under axial compression. A simple three-node axisymmetric shell element is used to compute axial and circumferential stress components. Three example problems which include two corrugated-pipe-type and one U-type bellows, have been analyzed. Comparison of the present numerical results with the experimentally procured data from the open literature illustrates the reliability, accuracy, elaborateness and versatility of this approach.