Rodney Hill
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British mathematician
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Rodney Hillmathematics Degrees
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Mathematics
Why Is Rodney Hill Influential?
(Suggest an Edit or Addition)According to Wikipedia, Rodney Hill FRS was an applied mathematician and a former Professor of Mechanics of Solids at Gonville and Caius College, Cambridge. Career In 1953 he was appointed Professor of Applied Mathematics at the University of Nottingham. His 1950 The Mathematical Theory of Plasticity work forms the foundation of plasticity theory. Hill is widely regarded as among the foremost contributors to the foundations of solid mechanics over the second half of the 20th century. His early work was central to founding the mathematical theory of plasticity. This deep interest led eventually to general studies of uniqueness and stability in nonlinear continuum mechanics, work which has had a profound influence on the field of solid mechanics—theoretical, computational and experimental alike—over the past decades. Hill was the founding editor of the Journal of the Mechanics and Physics of Solids, still among the principal journals in the field.
Rodney Hill's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- The mathematical theory of plasticity (1950) (7983)
- The Elastic Behaviour of a Crystalline Aggregate (1952) (7438)
- Elastic properties of reinforced solids: some theoretical principles (1963) (4080)
- A theory of the yielding and plastic flow of anisotropic metals (1948) (3581)
- A self-consistent mechanics of composite materials (1965) (3396)
- A general theory of uniqueness and stability in elastic-plastic solids (1958) (1495)
- Continuum micro-mechanics of elastoplastic polycrystals (1965) (1354)
- On discontinuous plastic states, with special reference to localized necking in thin sheets (1952) (1276)
- XLVI. A theory of the plastic distortion of a polycrystalline aggregate under combined stresses. (1951) (1223)
- Theory of mechanical properties of fibre-strengthened materials: I. Elastic behaviour (1964) (1027)
- Constitutive analysis of elastic-plastic crystals at arbitrary strain (1972) (932)
- Acceleration waves in solids (1962) (837)
- The essential structure of constitutive laws for metal composites and polycrystals (1967) (802)
- On constitutive macro-variables for heterogeneous solids at finite strain (1972) (744)
- Theoretical plasticity of textured aggregates (1979) (719)
- Generalized constitutive relations for incremental deformation of metal crystals by multislip (1966) (688)
- Bifurcation phenomena in the plane tension test (1975) (636)
- Aspects of Invariance in Solid Mechanics (1979) (557)
- Theory of mechanical properties of fibre-strengthened materials—III. self-consistent model (1965) (504)
- Constitutive modelling of orthotropic plasticity in sheet metals (1990) (497)
- On constitutive inequalities for simple materials—I (1968) (473)
- Progress in solid mechanics (1963) (442)
- Some basic principles in the mechanics of solids without a natural time (1959) (383)
- On uniqueness and stability in the theory of finite elastic strain (1957) (294)
- A user-friendly theory of orthotropic plasticity in sheet metals (1993) (289)
- C. A theory of the plastic bulging of a metal diaphragm by lateral pressure (1950) (264)
- A VARIATIONAL PRINCIPLE OF MAXIMUM PLASTIC WORK IN CLASSICAL PLASTICITY (1948) (227)
- The theory of wedge indentation of ductile materials (1947) (214)
- New horizons in the mechanics of solids (1956) (207)
- Elastic potentials and the structure of inelastic constitutive laws (1973) (195)
- LXXXVIII. On the state of stress in a plastic-rigid body at the yield point (1951) (167)
- Principles of stability analysis of ideal crystals (1977) (147)
- Self-similar problems in elastodynmics (1973) (137)
- Constitutive dual potentials in classical plasticity (1987) (135)
- Interfacial operators in the mechanics of composite media (1983) (128)
- An investigation of plastic flow and differential work hardening in orthotropic brass tubes under fluid pressure and axial load (1994) (127)
- Perspectives in the mechanics of elastoplastic crystals (1982) (125)
- A general method of analysis for metal-working processes (1963) (123)
- On macroscopic effects of heterogeneity in elastoplastic media at finite strain (1984) (119)
- On the limits set by plastic yielding to the intensity of singularities of stress (1954) (115)
- On the elasticity and stability of perfect crystals at finite strain (1975) (109)
- Differential Hardening in Sheet Metal Under Biaxial Loading: A Theoretical Framework (1992) (107)
- On the problem of uniqueness in the theory of a rigid-plastic solid—IV (1956) (102)
- The mechanics of machining: A new approach (1954) (95)
- Eigenmodal deformations in elastic/plastic continua (1967) (90)
- Cavitation and the influence of headshape in attack of thick targets by non-deforming projectiles† (1980) (90)
- Uniqueness criteria and extremum principles in self-adjoint problems of continuum mechanics (1962) (79)
- Book Review: Mechanical properties of non-metallic brittle materials. Edited by W.H. WALTON. Butterworths, London; Inter-Science, New York, 1958. 492 pp., 90s (1960) (76)
- Stability of rigid-plastic solids (1957) (74)
- The plastic constraint of V-notched tension bars (1967) (71)
- THE PLASTIC YIELDING OF NOTCHED BARS UNDER TENSION (1949) (69)
- Similarity analysis of creep indentation tests (1992) (66)
- On the micro-to-macro transition in constitutive analyses of elastoplastic response at finite strain (1985) (60)
- The theory of combined plastic and elastic deformation with particular reference to a thick tube under internal pressure (1947) (58)
- Non-Homogeneity in elasticity and plasticity: Edited by W. Olszak. (Proceedings of I.U.T.A.M. Symposium, Warsaw, 1958). Pergamon Press, London, 1959, 528 pp., £5 (1960) (57)
- On the plastic distortion of solid bars by combined bending and twisting (1953) (56)
- Extremal paths of plastic work and deformation (1986) (56)
- Ideal forming operations for perfectly plastic solids (1967) (48)
- Theoretical properties of cubic crystals at arbitrary pressure—III. Stability (1979) (47)
- LXVI. On the inhomogeneous deformation of a plastic lamina in a compression test (1950) (45)
- The relevance of physics (1979) (42)
- Energy-momentum tensors in elastostatics: Some reflections on the general theory (1986) (40)
- Calculations on the influence of friction and die geometry in sheet drawing (1952) (39)
- Uniqueness in general boundary-value problems for elastic or inelastic solids (1961) (38)
- Divergences among the Born and Classical Stability Criteria for Cubic Crystals under Hydrostatic Loading. (1979) (38)
- On the mechanics of localized necking in anisotropic sheet metals (2001) (38)
- A new method for determining the yield criterion and plastic potential of ductile metals (1953) (35)
- Dynamical Problems in Elasticity (Progress in Solid Mechanics, vol. III) (1964) (32)
- A general theory of inelastic column failure—III (1960) (32)
- Progress in Solid Mechanics, vol. 4 (1965) (32)
- On intrinsic eigenstates in plasticity with generalized variables (1983) (28)
- Principles of Dynamics (1964) (28)
- Theoretical properties of cubic crystals at arbitrary pressure—I. Density and bulk modulus (1977) (28)
- Theoretical properties of cubic crystals at arbitrary pressure—II. Shear moduli (1978) (27)
- A theoretical perspective on in-plane forming of sheet metal (1991) (27)
- Relations between roll‐force, torque, and the applied tensions in strip‐rolling* * Paper No. MW/A/44/48 of the Rolling Committee of the British Iron and Steel Research Association. (1950) (27)
- Theory of the response of cubic crystals to [111] loading (1980) (26)
- XCI. Plastic distortion of non-uniform sheets (1949) (25)
- The rational mechanics of flexible or elastic bodies 1638–1788: C. Truesdell: Introduction to Leonhardi Euleri opera omnia, Vol. X et XI. seriei seeundae. Orell Füssli Turiei, Switzerland, 1960. 435 pp (1962) (24)
- XXX. A note on estimating yield-point loads in a plastic-rigid body (1952) (22)
- LXXIII. On combined bending and twisting of thin tubes in the plastic range (1951) (21)
- A note on the deformable region in a rigid-plastic body (1956) (20)
- A remark on diagonal streaming in plane plastic strain (1966) (19)
- Classical plasticity: a retrospective view and a new proposal (1994) (19)
- On related pairs of plane elastic states (1955) (18)
- Plastic anisotropy and the geometry of yield surfaces in stress space (2000) (17)
- Constitutive laws and waves in rigid/plastic solids (1962) (15)
- A general theory of plastic deformation and instability in thin-walled tubes under combined loading (1996) (14)
- On a class of constitutive relations for nonlinear infinitesimal elasticity (1987) (12)
- Plasticity and creep of pressurized membranes: A new look at the small-deflection theory (1980) (10)
- The extremal stress-field concept (1966) (10)
- Plasticity: Theory and Application. A. Mendelson. Collier-Macmillan, London. 360 pp. Illustrated. 120s. (1968) (9)
- On Inoue's hydrodynamical analogy for the state of stress in a plastic solid (1954) (9)
- Invariance relations in thermoelasticity with generalized variables (1981) (8)
- On the plastic behaviour of thick tubes under combined torsion and internal pressure (1953) (7)
- On macroscopic measures of plastic work and deformation in micro-heterogeneous media: PMM vol. 35, n≗1, 1971, pp. 31–39 (1971) (7)
- Some theoretical aspects of hydrostatic extrusion and allied processes (1974) (7)
- Discussion: “A Rate-Independent Constitutive Theory for Finite Inelastic Deformation” (Carroll, M. M., 1987, ASME J. Appl. Mech., 54, pp. 15–21) (1987) (6)
- Plastic analysis of pressurized cylinders under axial load (1976) (6)
- ON THE KINEMATICS OF STEADY PLANE FLOWS IN ELASTOPLASTIC MEDIA (1985) (6)
- The plastic torsion of anisotropic bars (1954) (6)
- Constitutive modelling of path-dependent plastic behaviour at large strains (2000) (5)
- Path sensitivity of material response at intrinsic eigenstates in classical plasticity (1988) (5)
- Plastic deformation and instability in thin-walled tubes under combined loading : a general theory. Part II (1999) (4)
- Progress in Solid Mechanics, Volume 1 (1961) (4)
- On steady plane flows in classical elasticity (1985) (4)
- Progress in Solid Mechanics, Volume 2 (1962) (3)
- A note on the back-pull factor in strip-drawing (1953) (3)
- Analysis of deformation III—Fluidity: K. Swainger : Chapman and Hall, Ltd., 1956. xxvii + 266 pp., 65s. (1957) (2)
- Book reviewHistory of strength of materials: S.P. Timoshenko : McGraw-Hill Book Co., Inc. 1953. 452 pp. with 245 illustrations and diagrams. 71s. 6d (1954) (2)
- Studies in large plastic flow and fracture: P.W. Bridgman : McGraw-Hill Book Company, Inc., New York. 1952. 362 pp. $8. (1953) (2)
- Progress in Solid Mechanics, Volume 4 (1965) (1)
- Introduction to Plasticity. Aris Phillips. Ronald Press Co., New York, 1956. 230 pp. Diagrams. $7. (1956) (1)
- Thermoelasticity. By A. D. KOVALENKO. Translated from the Russian by D. B. MacVean. Wolters-Noordhoff, 1969. 251 pp. F1. 39.80 or $11.00. (1970) (1)
- Mechanics: L. D. Landau and E. M. Lifshitz: (Vol. 1 of ‘Course of Theoretical Physics’). Translated from the Russian by J.B. Sykes and J.S. Bell. Pergamon Press, Oxford, 1960. 165 pp., 40s. (1961) (1)
- Mechanics of Solids (1982) (1)
- Collected papersS. P. Timoshenko: McGraw-Hill Publishing Co., 1053. pp. xxv + 642. 7 (1954) (1)
- Stress analysis of elastic streams in continuous forming operations (1995) (1)
- Structure of metals: C.S. Barrett: 2nd. Edition. McGraw-Hill Book Company Inc. 1952. pp. xvi + 661. 10$ or 72s. 6d. (1953) (1)
- Deformation and flow of solids. IUTAM colloquium, Madrid, 1955: Edited by R. Grammel. Springer-Verlag, Berlin, 1956. 324 pp (1958) (1)
- Book Review: Texturen metallischer werkstoffe. G. WASSERMANN and J. GREWEN: 2nd edition. Springer-Verlag, Berlin, 1962. 808 pp., DM 148 (1963) (1)
- Book Review: Theoretical elasticity. A. E. GREEN and W. ZERNA: Clarendon Press, Oxford, 1954 437 pp. 50s. net. (1955) (1)
- CHAPTER II – FOUNDATIONS OF MECHANICS: GENERAL PRINCIPLES (1964) (1)
- Numerical analysis.: Z. Kopal : Chapman and Hall Ltd., 1955, pp. 556, 63s. (1956) (0)
- Progress in Solid Mechanics, Volume 3 (1964) (0)
- Elastic Liquids. By A. S. L ODGE . Academic Press, 1964. 389 pp. 75 s . (1965) (0)
- Book Review: The classical field theories, in vol. III/I of encyclopedia of physics. C. TRUESDELL and R. TOUPIN : edited by S. FüGGE. Springer-Verlag, Berlin, 1960. 902 pp. (1963) (0)
- An introduction to relaxation methods: F. S. Shaw: 1953. pp. 396. Dover Publications, Inc. $5.50 (1954) (0)
- Applied elasticityChi-TehWang: McGraw-Hill Publishing Co., 1953. ix + 857 pp. 57/6d (1954) (0)
- Proceedings of the 3rd U.S. National Congress of Applied Mechanics: (1958) American Society of Mechanical Engineers, New York. 864 pp., $20 (1960) (0)
- Plasticity: E.H. Lee and P.S. Symonds (Editors). Proceedings of the Second Symposium on Naval Structural Mechanics, Brown University, 1960. Pergamon Press, Oxford, 1961. 672pp., 70s (1961) (0)
- The mechanics of metal extrusion: W. Johnson and H. Kudo : Manchester University Press, 1962. ix + 226 pp., 42s (1962) (0)
- A New Approach to the Mechanics of Solids (1954) (0)
- CHAPTER 1 – GRAVITATIONAL THEORY OF PLANETARY SYSTEMS (1964) (0)
- Mathematical theory of elasticity: I. S. Sokolnikoff : 2nd ed. McGraw-Hill Book Co., 1956. xi + 476 pp., 71s. 6d. (1957) (0)
- Structural mechanics: Proceedings of the First Symposium on Naval Structural Mechanics: Edited by J.N. Goodier and N.J. Hoff. Pergamon Press, Oxford, 1960. 594pp., 70s (1961) (0)
- Mechanics Treatise (1972) (0)
- Homogeneous processes of plane deformation in solids: an in-depth analysis of the geometry and kinematics (2002) (0)
- Plasticity for Mechanical Engineers. W. Johnson and P. B. Mellor. van Nostrand, London. 1962. 412 pp. Diagrams. d5s. (1962) (0)
- A Landmark in the Theory of Elasticity (1954) (0)
- Introduction to Kinetic Theory (1971) (0)
- Theoretical studies of the plastic deformation of metals (1949) (0)
- Introduction to plasticity: W. Prager: Addison-Wesley, Reading, Mass., 1959. 148pp., $9.50 (1960) (0)
- An engineering theory of plasticity: E.P. Unksov : Butterworths, London, 1961. 275 pp., 70s (1962) (0)
- Book Review: Mechanics of vibration. H.M. HANSEN and P.F. CHENEA: John Wiley & Sons, Inc., New York: Chapman & Hall, London. 1952, 417 pp., $8 or 64s (1952) (0)
- Elements of partial differential equations. International series in pure and applied mathematics: I.N. Sneddon : McGraw-Hill, 1957. 327 pp., 56s. 6d (1958) (0)
- Proceedings of the third midwestern conference on solid mechanics: University of Michigan Press 1957. 250 pp., $5.50. (1959) (0)
- CHAPTER III – GENERAL MOTION OF A RIGID BODY (1964) (0)
- Present-Day Teaching of Dynamics (1954) (0)
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