Philip G. Hodge | Academic Influence

Philip G. Hodge's AcademicInfluence.com Rankings

Philip G. Hodge

Mathematics

#6380

World Rank

#8845

Historical Rank

#1934

USA Rank

Applied Mathematics

#254

World Rank

#279

Historical Rank

#69

USA Rank

Measure Theory

#1930

World Rank

#2349

Historical Rank

#584

USA Rank

mathematics Degrees

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Mathematics

Philip G. Hodge's Degrees

PhD Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

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Why Is Philip G. Hodge Influential?

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According to Wikipedia, Philip Gibson Hodge Jr. was an American engineer who specialized in mechanics of elastic and plastic behavior of materials. His work resulted in significant advancements in plasticity theory including developments in the method of characteristics, limit-analysis, piecewise linear isotropic plasticity, and nonlinear programming applications. Hodge was the technical editor of American Society of Mechanical Engineers Journal of Applied Mechanics from 1971-1976. From 1984 to 2000 he was the secretary of the U. S. National Committee on Theoretical and Applied Mechanics, its longest serving Secretary. In 1949 he became assistant professor of Mathematics at UCLA, then moved on to become associate professor of applied mechanics at Polytechnic Institute of Brooklyn in 1953, Professor of Mechanics at Illinois Institute of Technology in 1957, and professor of mechanics at the University of Minnesota in 1971, where he remained until he retired in 1991. After retirement he was professor emeritus at the University of Minnesota and visiting professor emeritus at Stanford University.

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Philip G. Hodge'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

Theory of perfectly plastic solids (1968) (558)
Plastic Analysis of Structures (1959) (433)
Crushing of a Tube Between Rigid Plates (1963) (197)
Limit Analysis of Structures at Thermal Cycling (1980) (156)
Limit Analysis of Rotationally Symmetric Plates and Shells (1963) (149)
Numerical Methods for the Limit Analysis of Plates (1968) (128)
Theory of Flow and Fracture of Solids, vol. II (1963) (99)
Plane Stress Limit Analysis by Finite Elements (1970) (72)
Yield Conditions for Rotationally Symmetric Shells Under Axisymmetric Loading (1960) (54)
A Variational Principle for Plastic Materials with Strain-Hardening (1948) (42)
Impact pressure loading of rigid-plastic cylindrical shells (1955) (34)
Automatic piecewise linearization in ideal plasticity (1977) (32)
Comparison of yield conditions for circular cylindrical shells (1960) (30)
The Mises yield condition for rotationally symmetric shells (1961) (29)
The Theory of Piecewise Linear Isotropic Plasticity (1956) (27)
A general theory of piecewise linear plasticity based on maximum shear (1957) (26)
Elasticity and plasticity (1960) (24)
Post-yield behavior of a beam with partial end fixity (1974) (22)
A deformation bounding theorem for flow-law plasticity (1966) (20)
Elastic-plastic torsion of hollow bars by quadratic programming (1969) (18)
Elastic—plastic analysis of a rotating cylinder (1962) (17)
Limit Analysis of Rotationally Symmetric Shells Under Central Boss Loadings by a Numerical Method (1967) (16)
Deformations of an elastic-plastic cylindrical shell with linear strain hardening (1956) (15)
Creep behaviour of circular plates (1958) (15)
Elastic-plastic torsion as a problem in non-linear programming (1967) (15)
Limit analysis with multiple load parameters (1970) (14)
On Numerical Comparisons in Elastic-Plastic Torsion (1968) (14)
Limit Analysis of Shallow Shells of Revolution (1963) (14)
On finite expansion of a hole in a thin infinite plate (1958) (13)
Plastic Analysis of Circular Conical Shells (1960) (12)
Nonuniqueness in Contained Plastic Deformation (1980) (11)
General Properties of Yield-Point Load Surfaces (1968) (11)
Non-linear programming method for limit analysis of rotationally symmetric shells∗☆ (1968) (11)
A Slip Model for Finite-Element Plasticity (1978) (11)
On the use of linearized yield conditions for combined stresses in beams (1958) (11)
Causes and Consequences of Nonuniqueness in an Elastic/Perfectly-Plastic Truss (1986) (10)
Structural Inelasticity XXV. Computation of Non-Unique Solutions of Elastic-Plastic Trusses. (1979) (10)
Limit Analysis and Yield-Line Theory (1968) (10)
SINGULAR CASES IN THE OPTIMUM DESIGN OF FRAMES (1963) (10)
The Practical Significance of Limit Analysis (1958) (9)
Yield-point load of a circular plate sealing an incompressible fluid (1967) (9)
Plastic interaction curves for annular plates in tension and bending (1960) (8)
Computer solutions of plasticity problems1) (1974) (8)
Yield Conditions in Plane Plastic Stress (1950) (8)
BOUNDARY VALUE PROBLEMS IN PLASTICITY (1960) (8)
The method of characteristics applied to problems of steady motion in plane plastic stress (1951) (7)
Elastic/plastic torsion of hollow cylinders (1970) (7)
Plastic design of a closed cylindrical structure (1964) (7)
From the Technical Editor (1976) (7)
Full-Strength Reinforcement of a Cutout in a Cylindrical Shell (1964) (7)
INTERACTION CURVES FOR CIRCULAR CYLINDRICAL SHELLS ACCORDING TO THE MISES OR TRESCA YIELD CRITERION (1962) (6)
SHAKEDOWN INTERACTION CURVE FOR A CIRCULAR ARCH (1967) (6)
Continuum mechanics : an introductory text for engineers (1970) (5)
Yield-point ring load of filled circular cylindrical shells (1970) (5)
Rotating disks with no plane of symmetry (1957) (5)
Structural Inelasticity. VII. Elastic-Plastic Analysis of a Wheel Rolling on a Rigid Track, (1973) (5)
Interaction of Pressure, End Load, and Twisting Moment for a Rigid-Plastic Circular Tube (1963) (5)
Finite element mesh for a complete solution of a problem with a singularity (1986) (5)
Yield-point load determination by nonlinear programming (1966) (5)
THE THEORY OF ROTATIONALLY SYMMETRIC PLASTIC SHELLS (1963) (4)
Plastic Bending of an Annular Plate (1957) (4)
YIELD POINT LOADS OF SPHERICAL CAPS WITH CUTOUTS (1961) (4)
The effect of end conditions on the dynamic loading of plastic shells (1959) (4)
Piecewise-linear bounds on the yield-point load of shells∗ (1963) (4)
On Isotropic Cartesian Tensors (1961) (4)
LIMIT ANALYSIS OF ROTATIONALLY SYMMETRIC SHELLS THROUGH NONLINEAR PROGRAMMING (1966) (4)
Piecewise linear isotropic plasticity applied to a circular cylindrical shell with symmetrical radial loading (1957) (4)
A Simple Finite Element Model for Elastic-Plastic Plate Bending, (1972) (4)
A Finite-Element Model for Plane-Strain Plasticity (1978) (4)
A further note on the creep behaviour of circular plates (1964) (3)
An elastic-plastic finite element solution for a cracked plate (1986) (3)
The Significance of the Concentrated Load in the Limit Analysis of Conical Shells (1966) (3)
THE CARRYING CAPACITY OF CONICAL SHELLS UNDER CONCENTRATED AND DISTRIBUTED LOADS (1963) (3)
THE DETERMINATION OF SAFE LOADS OF BEAMS SUBJECTED TO COMBINED BENDING, BENDING, AND TWISTING MOMENTS (1958) (3)
Rigid-plastic analysis of spherical caps with cutouts (1964) (2)
Plastic plate theory (1964) (2)
On the Method of Characteristics (1950) (2)
PLASTIC ANALYSIS OF CYLINDRICAL SHELLS UNDER PRESSURE, AXIAL LOAD, AND TORQUE (1962) (2)
Simple Examples of Complex Phenomena in Plasticity. (1984) (2)
ELASTIC-PLASTIC TORSION OF MULTIPLY-CONNECTED CYLINDERS BY QUADRATIC PROGRAMMING. (1968) (2)
VISCO-PLASTIC FLOW OF A THIN CIRCULAR PLATE. (1966) (2)
On Strain-Hardened Circular Cylindrical Shells (1960) (2)
The Engineering Significance of Limit Analysis (1958) (2)
THE EFFECT OF END CONDITIONS ON THE DYNAMIC RESPONSE OF CYLINDRICAL SHELLS (1960) (1)
Method for Plastic Design of Frames (1963) (1)
Theory of Elastic Thin Shells, A.L. Goldenveizer. Pergamon Press, New York (1961), (translated by G. Herrmann), (Original Russian book: Gostekhteoretizdat, Moscow, 1953.) (1962) (1)
Elastic-Plastic Plate With Arbitrary Poisson's Ratio (1978) (1)
William Prager (1903–1980) (1980) (1)
On the Length of Hypersonic Nozzles (1958) (1)
A Consistent Theory for the Elastic-Plastic Stability of an Annular Plate under Inner Tension, (1968) (1)
Structural Inelasticity. XII. Large Rotationally-Symmetric Plastic Deformations of a Sandwich-Toroidal Shell. (1975) (1)
ON NADAI'S ANALOGY FOR ELASTIC-PLASTIC TORSION (1961) (1)
Structural Inelasticity. XXVI. BEAMPLT: A Program for Finding the Yield-Point Load of Transversely Loaded Rectangular Grids. (1981) (0)
Structural Inelasticity. VI. A Finite Element Method for Plasticity Problems (1973) (0)
THE MAY MEETING IN FRESNO The four hundred eighty-first meeting of the American Mathe- (2007) (0)
Closure to “Discussion of ‘Crushing of a Tube Between Rigid Plates’” (1964, ASME J. Appl. Mech., 31, pp. 357–358) (1964) (0)
Simple examples of non linear truss behavior (1984) (0)
On the Sign of a Function in a Closed Interval (1952) (0)
Comment on: Rigid-plastic collapse of compression-bent shallow shells: H. M. Haydl and A. N. Sherbourne, Int. J. mech. Sci.15, 727 (1973) (1974) (0)
Structural Inelasticity. XXVIII. (1981) (0)
Comment on “Rigid plastic analysis of circular arches”1 (1967) (0)
THE EFFECT OF STRAIN-HARDENING ON THE DEFORMATION OF AN ANNULAR SLAB (1953) (0)
Structural Inelasticity XXIV. Examples of Non-Uniqueness in Contained Plastic Deformation. (1979) (0)
INTERACTION OF PRESSURE, END LOAD, AND TWISTING MOMENT FOR A CIRCULAR TUBE (1962) (0)
Program for Yield-Point Load of Arches (1968) (0)
A consistent finite element model for the two-dimensional continuum (1970) (0)
Structural Inelasticity XXI. Finite Element Models with Velocity Discontinuities. (1978) (0)
On real and ideal materials (1971) (0)
A piecewise linear theory of plasticity for an initially isotropic material in plane stress (1978) (0)
Structural Inelasticity XVI. Elastic-Plastic Plate with Arbitrary Poisson's Ratio. (1977) (0)
LOWER BOUND LIMIT ANALYSIS OF PLANE STRESS PROBLEMS BY A FINITE ELEMENT METHOD. (1970) (0)
LIMIT DESIGN OF A FULL REINFORCEMENT FOR A SYMMETRIC CONVEX CUTOUT IN A UNIFORM SLAB (1953) (0)
Closure to “Discussion of ‘A Slip Model for Finite-Element Plasticity’” (1979, ASME J. Appl. Mech., 46, pp. 475–476) (1979) (0)
LARGE PLASTIC DEFORMATION OF THIN SPHERICAL SHELLS WITH REINFORCED OPENINGS. (1968) (0)
Comments on the Conference from an Observational Viewpoint (1994) (0)
Discussion: “Experimental and Theoretical Pressures and Velocity Fields for Various Lead Extrusions” (Thomsen, E. G., and Frisch, J., 1958, Trans. ASME, 80, pp. 117–122) (1958) (0)
Discussion: “The Elastic-Plastic Response of Thin Spherical Shells to Internal Blast Loading” (Baker, W. E., 1960, ASME J. Appl. Mech., 27, pp. 139–144) (1960) (0)
The Brownian Motion of Coupled Systems (1952) (0)
Literature Review : AEROSTRUCTURES Selected Papers of Nicholas J. Hoff R. B. Testa, ed. Pergamon Press, Elmsford, N.Y. (1971) (1972) (0)
Structural Inelasticity XVIII. A Slip Model for Finite Element Plasticity. (1977) (0)
ON PLASTIC INTERACTION CURVES. (1967) (0)
Structural Inelasticity (28th), A Finite Element 'Vectorization' Method for the Solution of Crack Growth Problems in Two or Three Dimensions. (1986) (0)
A PRACITICAL METHOD FOR PLASTIC DESIGN OF FRAMES (1962) (0)
A new interpretation of the plastic minimum principles (1961) (0)
THE YIELD LOAD OF A UNIFORM SLAB WITH A CIRCULAR CUT-OUT REINFORCED BY A BEVELLED RING (1953) (0)
Closure to “Discussion of ‘The Determination of Safe Loads of Beams Subjected to Combined Twisting and Biaxial Bending Moments’” (1960, ASME J. Appl. Mech., 27, p. 364) (1960) (0)
STUDIES OF REACTOR CONTAINMENT STRUCTURES. Bi-Monthly Progress Report, July-August 1962 (1962) (0)
Book Reviews : LIMIT ANALYSIS USING FINITE ELEMENTS Proceedings of a symposium presented at the ASME Winter Annual Meeting, December, 1976 Edited by R.H. Mallett (1978) (0)
THE REINFORCEMENT TO FULL STRENGTH OF A THIN SLAB WITH A SLIT (1953) (0)
The significance of centrated loads in limit analysis of shells (1964) (0)
Discussion: “Stresses and Strains in Cold-Extruding 2S-O Aluminum” (Thomsen, E. G., and Frisch, J., 1955, Trans. ASME, 77, pp. 1343–1351) (1955) (0)

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