Some static and dynamic implications of of the general theory of elastic stability

[1]  J. Hadamard,et al.  Leçons sur la propagation des ondes et les equations de l'hydrodynamique , 2015 .

[2]  J. W. Gibbs,et al.  Scientific Papers , 2002, Molecular Imaging and Biology.

[3]  C. Truesdell,et al.  The Non-Linear Field Theories Of Mechanics , 1992 .

[4]  D. Bland.  Dilatational waves and shocks in large displacement isentropic dynamic elasticity , 1964 .

[5]  Michael Hayes,et al.  Wave propagation and uniqueness in prestressed elastic solids , 1963, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[6]  C. Truesdell.  The Meaning of Betti's Reciprocal Theorem , 1963 .

[7]  Millard F. Beatty,et al.  Vector Representation of Rigid Body Rotation , 1963 .

[8]  J. E. Adkins,et al.  Large elastic deformations and non-linear continuum mechanics , 1962 .

[9]  M. Gurtin,et al.  A NOTE ON UNIQUENESS IN CLASSICAL ELASTODYNAMICS , 1961 .

[10]  R. Toupin,et al.  Sound Waves in Deformed Perfectly Elastic Materials. Acoustoelastic Effect , 1961 .

[11]  J. Ericksen.  On the Dirichlet problem for linear differential equations , 1957 .

[12]  C. Pearson.  General theory of elastic stability , 1956 .

[13]  Albert Edward Green,et al.  General theory of small elastic deformations superposed on finite elastic deformations , 1952, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[14]  Hsue-shen Tsien,et al.  Buckling of a Column with Non-Linear Lateral Supports , 1942 .

[15]  J. Willard Gibbs,et al.  The scientific papers of J. Willard Gibbs , 1907 .

[16]  S. W. Thomson.  XLVI. On the reflexion and refraction of light , 1888 .

[17]  J. T. Holden.  Estimation of critical loads in elastic stability theory , 1964 .

[18]  A. Green,et al.  On certain methods in the stability theory of continuous systems , 1963 .

[19]  R. Hill.  Acceleration waves in solids , 1962 .

[20]  A. Cemal Eringen,et al.  Nonlinear theory of continuous media , 1962 .

[21]  W. Macke.  D. Morgenstern und I. Szabó, Vorlesungen über Theoretische Mechanik. XII. + 374 S. m. 112 Abb. Berlin/Göttingen/Heidelberg 1961. Springer-Verlag. Preis geb. DM 69,— , 1962 .

[22]  Clifford Ambrose Truesdell,et al.  General and exact theory of waves in finite elastic strain , 1961 .

[23]  Hans F. Weinberger,et al.  On Korn's inequality , 1961 .

[24]  R. S. Rivlin,et al.  Propagation of a plane wave in an isotropic elastic material subjected to pure homogeneous deformation , 1961 .

[25]  R. Toupin,et al.  Korn inequalities for the sphere and circle , 1960 .

[26]  C. Truesdell,et al.  The Classical Field Theories , 1960 .

[27]  Walter Noll,et al.  On the thermostatics of continuous media , 1959 .

[28]  Rodney Hill,et al.  On uniqueness and stability in the theory of finite elastic strain , 1957 .

[29]  H. Ziegler,et al.  On the Concept of Elastic Stability , 1956 .

[30]  R. Toupin,et al.  Implications Of Hadamard's Conditions For Elastic Stability With Respect To Uniqueness Theorems , 1956, Canadian Journal of Mathematics.

[31]  Clifford Ambrose Truesdell,et al.  The mechanical foundations of elasticity and fluid dynamics , 1952 .

[32]  W. Prager.  The general variational principle of the theory of structural stability , 1947 .

[33]  Louis Van Hove,et al.  Sur l'extension de la condition de Legendre du calcul de variations aux intégrales multiples à plusieurs fonctions inconnues , 1947 .

[34]  I. S. Sokolnikoff.  Mathematical theory of elasticity , 1946 .

[35]  Richard Vynne Southwell,et al.  On the General Theory of Elastic Stability , 1914 .

[36]  Ernst Hellinger,et al.  Die allgemeinen Ansätze der Mechanik der Kontinua , 1913 .

[37]  Pierre Maurice Marie Duhem,et al.  Recherches sur l'élasticité , 1904 .

[38]  G. A. Schott.  On the Reflection and Refraction of Light. , 1894 .

[39]  A. Love.  A treatise on the mathematical theory of elasticity , 1892 .