Application of buckling equations to the functional morphology of nautiloid and ammonoid phragmocones

References

• Abel , J.F. , Billington , D.P. , Nagy , D.A. and Wilta‐Dworkin , C. 1982 . Buckling of cooling towers . Journal of the Structural Division, Proceedings of the American Society of Civil Engineers , 108 : 2162 – 2174 .
   Google Scholar
• Blind , W. 1987 . Comparative investigations on the shell morphology and structure of Nautilus pompilius. Orthoceras sp., Pseudorthoceras sp. and Kionoceras sp. . Palaeontographica , 198A : 101 – 128 .
   Google Scholar
• Brownell , E.L. and Young , E.H. 1959 . Process equipment design. Vessel design. , New York : John Wiley .
   Google Scholar
• Currey , J.D. 1976 . Further studies on the mechanical properties of molluscan shell materials. . Journal of Zoology London , 180 : 445 – 453 .
   Google Scholar
• Denton , E.J. 1974 . On buoyancy and lives of modern and fossil cephalopods. . Proceedings Royal Society London B , 185 : 273 – 299 .
   Web of Science ®Google Scholar
• Gordon , J.E. 1978 . Structures or why things don't fall down. , Penguin : Harmondsworth .
   Google Scholar
• Henderson , R.A. 1984 . A muscle attachment proposal for septal function in Mesozoic ammonites. . Palaeontology , 27 : 461 – 486 .
   Web of Science ®Google Scholar
• Hewitt , R.A. 1984 . Growth analysis of Silurian orthoconic nautiloids . Palaeontology , 27 : 671 – 677 .
   Google Scholar
• Hewitt , R.A. 1985 . Numerical aspects of sutural ontogeny in the Ammonitina and Lytoceratina. . Neues Jahrbuch fir Geologie und Palaeontologie. Abhandlungen , 170 : 273 – 290 .
   Google Scholar
• Hewitt, R.A., M.A. Dokainish, M. El Aghoury and Westermann, G.E.G. Bathymetric limits of a Carboniferous orthoconic nautiloid deduced by finite element analysis. In prep
   Google Scholar
• Hewitt , R.A. and Stait , B. 1985 . Phosphatic connecting rings and ecology of an Ordovician ellesmerocerid nautiloid. . Alcheringa , 9 : 229 – 243 .
   Web of Science ®Google Scholar
• Hewitt , R.A. and Westermann , G.E.G. 1986 . Function of complexity fluted septa in ammonoid shells. I. Mechanical principles and functional models. . Neues Jahrbuch für Geologie und Palaontologie, Abhandlungen , 172 : 47 – 69 .
   Google Scholar
• Hewitt , R.A. and Westermann , G.E.G. 1987 . Function of complexity fluted septa in ammonoid shells. II. Septal evolution and conclusions. . Neues Jahrbuch für Geologie und Palaontologie, Abhandlungen , 174 : 135 – 169 .
   Google Scholar
• Hewitt , R.A. and Westermann , G.E.G. 1988a . “ Stress and strain in Nautilus shells: Some limitations on the buoyancy control and vertical migration of ectocochliates. ” . In Cephalopods—Present and Past , Edited by: Wiedmann , J. and Kullmann , J. 705 – 712 . Stuttgart : Schweizerbart .
   Google Scholar
• Hewitt , R.A. and Westermann , G.E.G. 1988b . “ Shell architecture ” . In Nautilus: The biology and paleobiology of the living fossil , Edited by: Saunders , W.B. and Landman , N.H. 435 – 461 . New York : Plenum .
   Google Scholar
• Mutvei , H. 1983 . Flexible nacre in the nautiloid Isorthoceras with remarks on the evolution of cephalopod nacre. . Lethaia , 16 : 223 – 240 .
   Google Scholar
• Ristedt , H. 1971 . Zum Bau der orthoceriden Cephalopoden . Palaeontographica , 137A : 155 – 195 .
   Google Scholar
• Roark , R.J. 1954 . Formulas for stress and strain, , 3rd edition , New York : McGraw Hill .
   Google Scholar
• Seilacher , A. 1975 . Mechanische Simulation und funktionelle Evolution des Ammoniten‐Septums. . Paläontologische Zeitschrift , 49 : 268 – 286 .
   Google Scholar
• Westermann , G.E.G. 1971 . Form, structure and function of shell and siphuncle in coiled Mesozoic ammonoids. Life Sciences Contributions. . Royal Ontario Museum , 78 : 1 – 39 .
   Google Scholar
• Westermann , G.E.G. 1977 . Form and function of orthoconic cephalopod shells with concave septa. . Paleobiology , 3 : 300 – 321 .
   Google Scholar
• Westermann , G.E.G. 1985 . Post‐mortem descent with septal implosion in Silurian nautiloids. . Paläontologische Zeitschrift , 59 : 79 – 97 .
   Google Scholar
• Zemal , W. and Mungan , I. 1982 . “ Buckling stresses of shells having negative Gaussian curvature. ” . In Buckling of shells , Edited by: Ramm , E. 467 – 485 . Berlin : Springer .
   Google Scholar