The theoretical strength of solids

In principle, there is an upper limit to the mechanical strength of any material under given test conditions. This limit is called the ideal strength. This paper attempts to define the ideal strength so far as is presently possible. Firstly, a brief summary is given of the highest strengths obtained experimentally. Next follows a detailed account of the attempts to calculate the ideal strength from theoretical considerations. Finally, the experimental and calculated results are compared, and it is concluded that in one or two instances the ideal strength has probably been realised experimentally.

[1]  M. Born,et al.  The stability of crystal lattices. III , 1940, Mathematical Proceedings of the Cambridge Philosophical Society.

[2]  J. Frenkel Zur Theorie der Elastizitätsgrenze und der Festigkeit kristallinischer Körper , 1926 .

[3]  U. Valdré,et al.  Radiation-induced coherency loss in a Cu-Co alloy , 1968 .

[4]  S. S. Brenner,et al.  Tensile Strength of Whiskers , 1956 .

[5]  P. Gibbs,et al.  Fracture of Ge and Al2O3 , 1963 .

[6]  L. M. Brown,et al.  The loss of coherency of precipitates and the generation of dislocations , 1970 .

[7]  F. Milstein Theoretical Strength of a Perfect Crystal , 1971 .

[8]  P. Bayer,et al.  The tensile strength of sapphire whiskers at elevated temperatures , 1969 .

[9]  F. P. Bowden,et al.  Microdeformation of Solids , 1968 .

[10]  W. M. Haynes Shear strengths of solid methane and argon to 8 kbar at 77 K , 1970 .

[11]  J. Vance,et al.  Growth and Perfection of Crystals. , 1959 .

[12]  P. O. Szomor Elastic Constants and Tensile Strength of NaCl‐Type Alkali Halides , 1968 .

[13]  B. Proctor,et al.  Strengths of Sapphire Crystals , 1962, Nature.

[14]  H. B. Huntington The Elastic Constants of Crystals , 1958 .

[15]  J. M. Cox,et al.  The micro-hardness of metals at very low loads , 1970 .

[16]  W. Hillig,et al.  Strength of Bulk Fused Quartz , 1961 .

[17]  G. Pollack The Solid State of Rare Gases , 1964 .

[18]  C. Squire,et al.  Ultrasonic Velocities in Solid Argon , 1966 .

[19]  M. P. Tosi,et al.  Cohesion of Ionic Solids in the Born Model , 1964 .

[20]  N. Gane The direct measurement of the strength of metals on a sub-micrometre scale , 1970, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[21]  L. Girifalco,et al.  Application of the Morse Potential Function to Cubic Metals , 1959 .

[22]  A. May Extrapolation of the Shear Elastic Moduli of Face Centred Cubic Solids to the Molten State , 1970, Nature.

[23]  J. Mitchell,et al.  Strength of Near‐Perfect Single Crystals of Cadmium , 1970 .

[24]  神前 熈,et al.  R. H. Doremus, B. M. Roberts and David Turnbull: Growth and Perfection of Crystals, John Wiley and Sons, New York 1958, 609頁, 22×29cm, 5000円. , 1959 .

[25]  R. B. Sharma Deformation and Fracture of Zinc Oxide Whiskers , 1970 .

[26]  M. Gsänger,et al.  Determination of the elastic constants of argon , 1968 .

[27]  M. Born,et al.  Dynamical Theory of Crystal Lattices , 1954 .

[28]  M. Polanyi Über die Natur des Zerreißvorganges , 1921 .

[29]  W. Tyson Theoretical strength of perfect crystals , 1966 .

[30]  Anthony Kelly,et al.  Ductile and brittle crystals , 1967 .

[31]  M. Ashby,et al.  The stress at which dislocations are generated at a particle-matrix interface , 1969 .

[32]  R. Winterton Van der Waals forces , 1970 .

[33]  Z. Gyulai Festigkeits- und Plastizitätseigenschaften von NaCl-Nadelkristallen , 1954 .

[34]  G. Bartenev,et al.  The Theoretical Strength of NaCl Crystals under Tension along its Body and Face Diagonals , 1967 .

[35]  Robert Bruce Lindsay,et al.  Physical Properties of Crystals , 1957 .

[36]  E R Dobbs,et al.  Theory and properties of solid argon , 1957 .

[37]  J. Boer The influence of van der Waals' forces and primary bonds on binding energy, strength and orientation, with special reference to some artificial resins , 1936 .

[38]  W. C. Dash Growth of Silicon Crystals Free from Dislocations , 1959 .

[39]  D. Stansfield The Surface Tensions of Liquid Argon and Nitrogen , 1958 .

[40]  The strengths of flame-polished sapphire crystals , 1966 .

[41]  R. Mozzi,et al.  The structure of vitreous silica , 1969 .

[42]  M. Duesbery,et al.  Screw dislocation in a model sodium lattice , 1970 .

[43]  G. T. Hahn,et al.  Structure of the 〈100〉 Edge Dislocation in Iron , 1968 .

[44]  J. Nye Physical Properties of Crystals: Their Representation by Tensors and Matrices , 1957 .

[45]  E. Orowan,et al.  Fracture and strength of solids , 1949 .