Bibliography

An extensive bibliography on shell and plate buckling and vibration was compiled by David Bushnell starting in 2011 and continues to be updated. There are so many papers and even books in the shell buckling field that Dr. Bushnell apologizes in advance for missing any of your contributions. At the time this file was initially created (March - August, 2011) there were about 800000 “hits” when the search string, “shell buckling” was entered into “Google search”. You may find it useful to compile a list of references for your paper by searching the extensive bibliography for key words and creating your own special list of references by cutting and pasting.

The vast universe of papers on the buckling and vibration of shells is like a fractal: no matter how much the search is narrowed within that universe (for example, “postbuckling composite shells”, “buckling sandwich shells”, “thermal buckling shells”, or Hutchinson buckling shells”), there exists a vast sub-universe with essentially the same creators and characteristics as the entire “shell buckling” universe. One cannot possibly explore these universes and sub-universes completely. The shell buckling universe and its sub-universes may be expanding faster than the cosmos itself.

• The Book Cover Gallery includes books on shell buckling, books on buckling of other structures, books on linear and non-linear elasticity, books on plasticity, and books on composite materials. All of these fields are closely related. Due to the number of books in the Gallery, the Book Cover Gallery is partitioned into four separate sub-galleries, ordered by surname of the first author.

  If your book is missing, please email a photo of its cover and a brief description of it to . Dr. Bushnell will then include it in the Book Cover Gallery in this bibliography.

  • Book Gallery (A through G)
  • Book Gallery (H through M)
  • Book Gallery (N through S)
  • Book Gallery (T through Z)

• The full bibliography is available in the following formats:
  • PDF, Part 1
  • PDF, Part 2
  • DOCX, Part 1
  • DOCX, Part 2
• Featured Books:
  • Little Book of Dynamic Buckling - Fundamental Principles of Dynamic Pulse Buckling – Theory and Experiment, Herbert E. Lindberg, LCE Science/Software, September 2003
• Abstracts of papers on the buckling of carbon nanotubes:
  • PDF
• Featured Papers:
  • Buckling of shells – pitfall for designers, David Bushnell. AIAA Journal, Vol. 19, No. 9, 1981.
  • Plastic Buckling, David Bushnell, Chapter in Pressure Vessels and Piping: Design Technology - 1982, A Decade of Progress, edited by S.Y. Zamrik and D. Dietrich, Book No. G00213, American Society of Mechanical Engineers (ASME), 1982, Chapter 2.4, pp 47-117.
  • A Strategy for the Solution of Problems Involving Large Deflections, Plasticity and Creep, David Bushnell, International Journal for Numerical Methods in Engineering, Vol. 11, pp. 683-708, 1977.
  • PANDA2 – A Program for Minimum Weight Design of Stiffened, Composite, Locally Buckled Panels, David Bushnell, Computers & Structures, Vol. 25. No. 4 pp. 469-605, 1987.
  • Optimization of composite, stiffened, imperfect panels under combined loads for service in the postbuckling regime, David Bushnell, Computer Methods in Applied Mechanics and Engineering, 103, pp. 43-114, 1993.
  • Approximate Method for the Optimum Design of Ring and Stringer Stiffened Cylindrical Panels and Shells with Local, Inter-Ring, and General Buckling Modal Imperfections, D. Bushnell and W. D. Bushnell, Computers & Structures, Vol. 59, No. 3, pp. 489 – 527, 1996.
  • Optimum Design Via PANDA2 of Composite Sandwich Panels with Honeycomb or Foam Cores, David Bushnell, AIAA 38th Structures, Structural Dynamics and Materials Conference, AIAA Paper 97-1142, 1997.
  • Optimization of Perfect and Imperfect Ring and Stringer Stiffened Cylindrical Shells with PANDA2 and Evaluation of the Optimum Designs with STAGS, David Bushnell and Charles Rankin, AIAA 43rd Structures, Structural Dynamics and Materials Conference, AIAA-2002-1408, 2002.
  • Difficulties in Optimization of Imperfect Stiffened Cylindrical Shells, David Bushnell and Charles Rankin, AIAA 47th Structures, Structural Dynamics and Materials Conference, AIAA-2006-1943, 2006.
  • Optimization of an Axially Compressed Ring and Stringer Stiffened Cylindrical Shell with a General Buckling Modal Imperfection, David Bushnell, AIAA 48th Structures, Structural Dynamics and Materials Conference, AIAA-2007-2216, 2007.
  • GENOPT – A Program That Writes User-Friendly Optimization Code, David Bushnell, International Journal of Solids and Structures, Vol. 26. No. 9/10, pp. 1173-1210, 1990.
  • Use of GENOPT and BIGBOSOR4 to Optimize Weld Lands in Axially Compressed Stiffened Cylindrical Shells and Evaluation of the Optimized Designs By STAGS, David Bushnell and Robert P. Thornburgh, AIAA 51st Structures, Structural Dynamics, and Materials Conference, AIAA Paper 2010-2927, 2010.
  • Use of GENOPT and BIGBOSOR4 to Obtain Optimum Designs of an Axially Compressed Cylindrical Shell with a Composite Truss-Core Sandwich Wall, David Bushnell and Charles Rankin, AIAA 52nd Structures, Structural Dynamics, and Materials Conference, 2011, AIAA Paper 2011-1811, 2011.
  • Optimization of Propellant Tanks Supported by Optimized Laminated Composite Tubular Struts, David Bushnell, Michael S. Jacoby and Charles C. Rankin, 54th AIAA Structures, Structural Dynamics and Materials Meeting, Boston, Massachusetts, April 8-12, AIAA Paper 2013-1479, 2013.
  • Minimum weight design of an axially compressed isotropic prismatic panel consisting of a series of cylindrical segments and verification by STAGS, David Bushnell and Michael S. Jacoby, 55th AIAA Structures, Structural Dynamics and Materials Meeting, (Part of SCITECH2014), National Harbor, Maryland, January 13-17, AIAA Paper 2014-0844, 2014.
  • Buckling of thin shells: Recent advances and trends, Jin Guang Teng. Applied Mechanics Review, Vol. 49, No. 4, April 1996.
  • Buckling of Laminated Composite Platees and Shell Panels, Arthur W. Leissa. Air Force Wright Aeronautical Laboratories, AFWAL, TR-85-3069, June 1985.
  • Cylindrical Shell Buckling: A Characterization of Localization and Periodicity, G. W. Hunt, G. J. Lord and M. A. Peletier. Discrete and Continuous Dynamical Systems, Series B, Vol. 3, No. 4, November 2003.
  • The NASA Monographs on Shell Stability Design Recommendations, A Review and Suggested Improvements, Michael P. Nemeth and James H. Starnes, Jr. NASA/TP-1998-206290, January 1998.
  • Nanomechanics of Carbon Tubes: Instabilities beyond Linear Response, B. I. Yakobson, C. J. Brabec, and J. Bernholc. Physical Review Letters, Vol 76, No. 14, April 1, 1996.
  • Shell Structures - A Sensitive Interrelation between Physics and Numerics, E. Ramm and W.A. Wall. Submitted to: International Journal for Numerical Methods in Engineering, 2004.
  • Buckling of Thin-Walled Circular Cylinders, V.I. Weingarten, P. Seide and J.P. Peterson. NASA Space Vehicle Design Criteria (Structures), NASA SP-8007, 1965, rev. 1968.
  • Buckling of Thin-Walled Circular Cylinders (re-revised November 2020), Anonymous. NASA Engineering and Safety Center (NESC), NASA/SP-8007-2020/REV 2, 1965, 1968, 2020.
  • Buckling of Thin-Walled Truncated Cones, V.I. Weingarten and P. Seide. NASA Space Vehicle Design Criteria (Structures), NASA SP-8019, 1968.
  • Buckling of Thin-Walled Doubly Curved Shells, V.I. Weingarten and P. Seide. NASA Space Vehicle Design Criteria (Structures), NASA SP-8032, 1969.
  • Shell Buckling Design Criteria Based on Manufacturing Imperfection Signatures, M.W. Hilburger, M.P. Nemeth and J.H. Starnes, Jr. NASA/TM-2004-212659, 2004.
  • Simple Formulas and Results for Buckling- Resistance and Stiffness Design of Compression-Loaded Laminated-Composite Cylinders, M.P. Nemeth and M.M. Mikulas, Jr. NASA/TP-2009-215778, 2009.
  • Nondimensional Parameters and Equations for Nonlinear and Bifurcation Analyses of Thin Anisotropic Quasi-Shallow Shells, M.P. Nemeth. NASA/TP-2010-216726, 2010.
  • A Treatise on Equivalent-Plate Stiffnesses for Stiffened Laminated-Composite Plates and Plate-Like Lattices, M.P. Nemeth. NASA/TP-2011-216882, 2011.
  • An In-Depth Tutorial on Constitutive Equations for Elastic Anisotropic Materials, M.P. Nemeth. NASA/TM-2011-217314, 2011.
  • Buckling Imperfection Sensitivity of Axially Compressed Orthotropic Cylinders, M.R. Schultz and M.P. Nemeth. 51st AIAA Structures Conference, April, 2010.
  • An Exposition on the Nonlinear Kinematics of Shells, Including Transverse Shearing Deformations, Michael P. Nemeth. NASA/TM-2013-217964, February 2013.
  • Buckles, Creases and Wrinkles in Shell Structures and Soft Materials, abstract of a 10-minute talk by John W. Hutchinson for a general audience, on the occasion of his induction into the Royal Society of London, 2012.
  • A Leonard-Sanders-Budiansky-Koiter-Type Nonlinear Shell Theory with a Hierarchy of Transverse-Shearing Deformations, Michael P. Nemeth. NASA/TP-2013-218025, July 2013.
  • Finite Element Techniques for Nonlinear Postbuckling and Collapse of Elastic Structures, Norman F. Knight, Jr. Structural Dynamic Systems: Computational Techniques and Optimization, Edited by Cornelius T. Leondes, Gordon and Breach Science Publishers, Chapter 1, 1998.
  • Buckling Analysis for Stiffened Anisotropic Circular Cylinders Based on Sanders' Nonlinear Shell Theory, Michael P. Nemeth. NASA/TM-2014-218176, March 2014.
  • Shell Buckling Research at the Aerospace Engineering Faculty of Delft University of Technology, J. Arbocz. Delft University of Technology Memorandom M-596, 1989.
  • Computational Mechanics at the Faculty of Aerospace Engineering, Delft University of Technology. Delft University of Technology Memorandom M-675, October 1993.
  • Buckling of Thin-Walled Circular Cylinders, anonymous. NASA/SP-8007-2019 (REV)., September 1965; First Revision August 1968; Second Revision September 2018.
  • Elastic Instabilities for Form and Function: Buckling, Wrinkling, Folding, and Snapping, Douglas P. Holmes. Short course given at Sapienza, Università di Roma, 2015.
• Classic Papers:
  • The Small Free Vibrations and Deformation of a Thin Elastic Shell, A. E. H. Love. Philosophical Transactions of the Royal Society of London, A, Vol. 179, pp. 491-546, 1888.
  • On the Mechanism of Buckling of a Circular Cylindrical Shell Under Axial Compression, Y. Yoshimura. NACA Technical Note 1390, July 1955.
  • Handbook of Structural Stability, Part I: Buckling of Flat Plates, George Gerard and Herbert Becker. NACA Technical Note 3781, July 1957.
  • Handbook of Structural Stability, Part II: Buckling of Composite Elements, Herbert Becker. NACA Technical Note 3782, July 1957.
  • Handbook of Structural Stability, Part III: Buckling of Curved Plates and Shells, George Gerard and Herbert Becker. NACA Technical Note 3783, August 1957.
  • Handbook of Structural Stability, Part IV: Failure of Plates and Composite Elements, George Gerard. NACA Technical Note 3784, August 1957.
  • Handbook of Structural Stability, Part V: Compressive Strength of Flat Stiffened Panels, George Gerard. NACA Technical Note 3785, August 1957.
  • Handbook of Structural Stability, Part VI: Strength of Stiffened Plates and Shells, Herbert Becker. NACA Technical Note 3786, July 1958.
  • Handbook of Structural Stability, Part VII: Strength of Thin-Wing Construction, George Gerard and Herbert Becker. NASA Technical Note D-162, September 1959.
  • Nonlinear Theories for Thin Shells, J. Lyell Sanders Jr. Office of Naval Research Technical Report No. 10, February 1961.
  • Model Investigations of Unstiffened and Stiffened Circular Shells, L.A. Harris, H.S.Suer, and W.T. Skene. Experimental Mechanics, Vol. 1 No. 7, 1961.
  • The Effect of Initial Imperfections on the Buckling Stress of Cylindrical Shells, C.D. Babcock and E.E. Sechler. NASA Technical Note D-2005, July 1963.
  • Buckling of Eccentrically Stiffened Orthotropic Cyclinders, David L. Block, Michael F. Card, and Martin M. Mikulas, Jr. NASA Technical Note D-2960, August 1965.
  • Experimental and Theoretical Results for Buckling of Eccentrically Stiffened Cylinders, Michael F. Card and Robert M. Jones. NASA Technical Note D-3639, October 1966.
  • Buckling of Stiffened Cylinders in Axial Compression and Bending—A Review of Test Data, James P. Peterson. NASA Technical Note D-5561, December 1969.
  • Postbuckling theory, J. W. Hutchinson and W. T. Koiter. Applied Mechanics Reviews, pp. 1353–1366, 1970.

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