On the elastic stability of thick columns

Keywords

Solid mechanics, Buckling, Isotropy, Compressibility, Materials science

References

• The instability of a rectangular elastic solidArnold D. Kerr, Sam Tang — 1967
• Oscilltions of a thick rectangular strip initially stressed by a finite bi-axial compressionJ. L. Nowinski, Ismaliza Ismail — 1966
• Mechanics of Incremental DeformationM. A. Biot, D. C. Drucker — 1965
• General theory of small elastic deformations superposed on finite elastic deformationsAlbert Edward Green, R. S. Rivlin, R. T. Shield — 1952

Cited by

• Remarks on the Instability of an Incompressible and Isotropic Hyperelastic, Thick-Walled Cylindrical TubeFeixia Pan, Millard F. Beatty — 1997
• Morphoelasticity: The Mechanics and Mathematics of Elastic GrowthRebecca Vandiver — 2009
• Constructing the Three-Dimensional Theory of Stability of Deformable BodiesA. N. Guz — 2001
• A theory for rubber-like rodsR. Faruk Yükseler — 2015
• Buckling and barrelling instabilities in finite elasticityPenny J. Davies — 1989
• Bifurcation conditions for a thick elastic plate under thrustK. N. Sawyers, R. S. Rivlin — 1974
• The effect of pre-stress on the vibration and stability of elastic platesRay W. Ogden, D.G. Roxburgh — 1993
• Three-dimensional stability theory of deformable bodies. Stability of construction elementsA. N. Guz — 1986
• Nonlinear stability analysis of pre-stressed elastic bodiesYibin Fu, Ray W. Ogden — 1999
• Bifurcation of the equilibrium of a three-dimensional elastic body with a finite homogeneous deformationA. N. Guz' — 1971
• Instability of a fiber-reinforced thick slab under axial loadingMillard F. Beatty — 1990
• Three-dimensional theory of elastic stability under finite subcritical deformationsA. N. Guz' — 1972
• On barrelling instabilities in finite elasticityHenry C. Simpson, Scott J. Spector — 1984
• A Simple Buckling Problem within the Shell Theory of Rubber‐Like MaterialsJerzy Makowski, H. Stumpf — 1988
• Second order displacement fields of a thick elastic plate under thrust-the incompressible caseK.A. Lazopoulos — 1996
• Flexure and compression of incompressible elastic platesD.M. Haughton — 1999
• On the internal instability of an infinite three-dimensionally stressed highly elastic mediumJ. L. Nowinski — 1992
• Stability of an internally constrained, hyperelastic slabMillard F. Beatty, Fuqu Pan — 1998
• Stability of elastic bodies under uniform compression (review)A. N. Guz — 2012
• Small Oscillations and Stability of a Thick Highly Elastic SlabS.A. Usmani — 2003

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