On stable progressively fracturing solids

A.A. Griffith,The Phenomena of Rupture and Flow in Solids, Phil. Trans. Roy. Soc.A 221, 163–198, 1920.

C. Gurney andJ. Hunt,Quasi-static Crack Progagation, Proc. Roy. Soc.A229, 508–524, 1967.

J.W. Dougill,Some Remarks on Path Independence in the Small in Plasticity, Quart. Appl. Math.33, No. 3, 233–243, 1975.

A.A. Il'iushin,On the Postulate of Plasticity, Appl. Math. Mech.25, 746–752, 1961. (Translation of Prikladnaya Matematika i Mekhanika, Vol.25 1961, pp. 503–7).

W. Prager,On Elastic, Perfectly Locking Materials, Proc. 11th Int. Conf. Appl. Mechanics, München 1964. (Springer-Verlag, Berlin 1966, pp. 538–544).

D.C. Drucker,A Definition of Stable Inelastic Material, J. Appl. Mech.26, (Trans. ASME Vol. 81, Series E), 101–106, 1959.

D.C. Drucker,Some Implications of Work Hardening and Ideal Plasticity, Quart. Appl. Math.7, No. 4, 411–418, 1950.

D.C. Drucker,Stress-strain-time Relations and Irreversible Thermodynamics, Proc. 1962 IUTAM Symposium on Second Order Effects in Elasticity, Plasticity and Fluid Dynamics; Eds. D. Abir and M. Reiner. Pergamon Press, Oxford 1964, pp. 331–350.

R. Hill,The Mathematical Theory of Plasticity. Oxford University Press, Oxford 1950.

W.T. Koiter,Stress Strain Relations, Uniqueness and Variational Theorems for Elasticplastic Materials with a Singular Yield Surface. Quart. Appl. Maths.11, 350–354, 1953.

J.L.Sanders Jr. Plastic Stress-strain Relations Based on Linear Loading Functions, Proc. 2nd U.S. Nat. Congress Appl. Mechanics 1954, pp. 455–460.

O.C. Zienkiewicz, G.C. Nayak andD.R.J. Owen,Composite and ‘Overlay’ Models in Numerical Analysis of Elasto-Plastic Continua. Proc. Int. Symp. Foundation of Plasticity, Warsaw August 30–September 2, 1972. Ed by A. Sawczuk, Noordhoff, Gröningen 1972, pp. 107–123.

J.P. Berry,Some Kinetic Considerations of the Griffith Criterion for Fracture—II Equations of Motion at Constant Deformation. Mech. Phys. Solids.8, 207–216, 1960.

W.R. Waversik andC. Fairhurst,A Study of Brittle Fracture in Laboratory Compression Experiments, Int. Rock Mech. & Mining Sci.7, No. 5, 561–575, 1970.

N.J.Burt andJ.W.Dougill,Progressive Failure in Uni-directional Extension Tests on a Model Heterogeneous Material, in preparation.

S.B. Batdorf andB. Budiansky,A Mathematical Theory of Plasticity Based on the Concept of Slip. N.A.C.A. Techn. Note No. 1871, Washington 1949, pp. 33.

B. Budiansky andT.T. Wu,Theoretical Prediction of Plastic Strains of Polycrystals, Proc. 4th U.S. Nat. Congress Appl. Mechanics. ASME, Vol.2, 1175–1185, 1962.