Symmetry and equivariance in nonlinear elastostatics, Part I

[1]  Robert Bartle,et al.  The Elements of Real Analysis , 1977, The Mathematical Gazette.

[2]  C. Truesdell,et al.  The Non-Linear Field Theories of Mechanics , 1965 .

[3]  J. Dieudonne Foundations of Modern Analysis , 1969 .

[4]  W. Miller Symmetry groups and their applications , 1972 .

[5]  J. Cole,et al.  Similarity methods for differential equations , 1974 .

[6]  J. Ericksen Special Topics in Elastostatics , 1977 .

[7]  A. Vanderbauwhede Generic bifurcation and symmetry with an application to the Von Kármán equations , 1978, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

[8]  Stuart S. Antman The eversion of thick spherical shells , 1979 .

[9]  David H. Sattinger,et al.  Group theoretic methods in bifurcation theory , 1979 .

[10]  David H. Sattinger,et al.  Bifurcation and symmetry breaking in applied mathematics , 1980 .

[11]  G. Knightly,et al.  Buckled states of a spherical shell under uniform external pressure , 1980 .

[12]  M. Gurtin,et al.  An introduction to continuum mechanics , 1981 .

[13]  André Vanderbauwhede,et al.  Local bifurcation and symmetry , 1982 .

[14]  R. G. Muncaster An abstract approach to group invariance, with applications to differential equations , 1982 .

[15]  M. P. Shaskolskaya,et al.  Fundamentals of Crystal Physics , 1983 .

[16]  M. Golubitsky The Bénard Problem, Symmetry and the Lattice of Isotropy Subgroups , 1983 .

[17]  Tim Poston,et al.  Post-buckling behavior of a non-linearly hyperelastic thin rod with cross-section invariant under the dihedral group Dn , 1985 .

[18]  P. Olver Applications of Lie Groups to Differential Equations , 1986 .

[19]  S. Antman,et al.  The remarkable nature of radially symmetric equilibrium states of aeolotropic nonlinearly elastic bodies , 1987 .

[20]  T. Healey A group-theoretic approach to computational bifurcation problems with symmetry , 1988 .

[21]  T. Healey Global Bifurcations and Continuation in the Presence of Symmetry with an Application to Solid Mechanics , 1988 .