William Prager

Q: What Schools Are Affiliated With William Prager

William Prager is affiliated with the following schools: Brown University, Karlsruhe University of Applied Sciences, University of Göttingen, Technische Universität Darmstadt, Istanbul University, University of California, San Diego

William Prager's AcademicInfluence.com Rankings

William Prager

Mathematics

#1937

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Applied Mathematics

#26

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Measure Theory

#193

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mathematics Degrees

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Mathematics

William Prager's Degrees

PhD Applied Mathematics University of Göttingen

Why Is William Prager Influential?

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According to Wikipedia, William Prager, Willy Prager, was a German-born US applied mathematician. In the field of mechanics he is well known for the Drucker–Prager yield criterion. Willy Prager studied civil engineering at the Technische Universität Darmstadt and received his diploma in 1925. He received his doctorate in 1926 and worked as a research assistant in the field of mechanics from 1925 to 1929. From 1927 to 1929 he habilitated. He was a deputy director at University of Göttingen, professor at Karlsruhe, University of Istanbul, the University of California, San Diego and Brown University, where he advised Bernard Budiansky. Prager was also on a sabbatical at IBM's research lab in Zurich.

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William Prager'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

Soil mechanics and plastic analysis or limit design (1952) (3495)
Theory of Thermal Stresses (1961) (2021)
Creep problems in structural members (1969) (1067)
EXTENDED LIMIT DESIGN THEOREMS FOR CONTINUOUS MEDIA (1952) (662)
A NEW METHOD OF ANALYZING STRESSES AND STRAINS IN WORK - HARDENING PLASTIC SOLIDS (1956) (648)
Theory of perfectly plastic solids (1968) (558)
The Theory of Plasticity: A Survey of Recent Achievements (1955) (443)
Recent Developments in the Mathematical Theory of Plasticity (1949) (413)
Approximations in elasticity based on the concept of function space (1947) (407)
Theory of Elastic Stability, Second Edition (1962) (406)
Compatibility of approximate solution of linear equations with given error bounds for coefficients and right-hand sides (1964) (380)
Problems of Optimal Structural Design (1968) (278)
Introduction of Mechanics of Continua (1962) (272)
An introduction to plasticity (1960) (202)
A General Theory of Optimal Plastic Design (1967) (186)
Über die Ansätze der Mechanik isotroper Kontinua (1932) (183)
Einführung in die Kontinuumsmechanik (1961) (139)
Optimal structural design for given deflection (1970) (139)
Optimal Layout of Grillages (1977) (132)
Strain Hardening Under Combined Stresses (1945) (131)
OPTIMIZATION OF STRUCTURAL GEOMETRY (1977) (128)
The load carrying capacities of circular plates (1953) (118)
On Michell trusses (1969) (100)
On the dynamics of plastic circular plates (1954) (98)
A note on discretized michell structures (1974) (93)
A new class of structural optimization problems: Optimal archgrids (1979) (90)
On Ideal Locking Materials (1957) (85)
Limit analysis of arches (1953) (85)
Introduction to structural optimization (1974) (83)
Optimality criteria in structural design. (1968) (79)
Optimal design of multi-purpose structures* (1968) (75)
Plastic buckling of a rectangular plate under edge thrusts (1948) (75)
A Structural Method of Computing Project Cost Polygons (1963) (71)
Probleme der Plastizitätstheorie (1955) (65)
Theorie ideal plastischer Körper (1954) (64)
On the mechanical behaviour of metals in the strain-hardening range (1947) (61)
Optimal layout of a truss for alternative loads (1973) (58)
NON-ISOTHERMAL PLASTIC DEFORMATION (1957) (58)
Variational principles for elastic plates with relaxed continuity requirements (1968) (54)
Optimal design of partially discretized grillages (1976) (51)
Optimization of structural design (1970) (48)
Plastizitätstheorie and ihre Anwendung auf Festigkeitsprobleme (1967) (47)
Plastic design of beams: Optimal locations of supports and steps in yield moment (1975) (44)
The Necking of a Tension Specimen in Plane Plastic Flow (1954) (44)
A Variational Principle for Plastic Materials with Strain-Hardening (1948) (42)
Optimal layout of cantilever trusses (1977) (38)
Conditions for structural optimality (1972) (35)
OPTIMAL STRUCTURAL DESIGN. (1970) (35)
Minimum-weight design with piecewise constant specific stiffness (1968) (35)
Problem Types in the Theory of Perfectly Plastic Materials (1948) (35)
NEARLY OPTIMAL DESIGN OF TRUSSES (1978) (34)
Optimal plastic design of circular and annular sandwich plates with piecewise constant cross section (1969) (32)
Optimal layout of trusses with finite numbers of joints (1978) (31)
Automatic minimum weight design of steel frames (1958) (31)
A note on optimal design of columns (1979) (30)
Selected Papers of Richard von Mises (1966) (30)
On Slow Visco-Plastic Flow1 (1952) (28)
Minimum weight design of circular plates under arbitrary loading (1959) (27)
Discontinuous Fields of Plastic Stress and Flow (1954) (27)
An Introduction to the Mathematical Theory of Plasticity (1947) (27)
Optimal structural design for given stiffness in stationary creep (1968) (26)
Beitrag zur Mechanik des bildsamen Verhaltens von Flußstahl (1932) (26)
Minimum-weight design of beams subjected to fixed and moving loads (1963) (26)
Dynamik der Stabwerke: Eine Schwingungslehre für Bauingenieure (1933) (25)
Introduction à l’Étude de la Rhéologie (1961) (25)
Remark on Romberg quadrature (1965) (24)
A note on the optimal choice of finite element grids (1975) (24)
On the theory of the bulge test (1954) (24)
Optimal design of rotating disk for given radial displacement of edge (1970) (22)
Optimal design of statically determinate beams for given deflection (1971) (22)
Der Einfluß der Verformung auf die Fließbedingung zähplastischer Körper (1935) (21)
Plastic Failure of Fiber-Reinforced Materials (1969) (20)
Fundamental theorems of a new mathematical theory of plasticity (1942) (20)
The Bursting Speed of a Rotating Plastic Disc (1954) (19)
Theory of plastic flow versus theory of plastic deformation (1948) (19)
On the Caterer Problem (1956) (19)
Optimal spherical cupola of uniform strength (1980) (19)
A Geometrical Discussion of the Slip Line Field in Plane Plastic Flow. (1952) (18)
Admissible Solutions of Linear Systems with Not Sharply Defined Coefficients (1965) (18)
Bauschinger adaptation of rigid, workhardening trusses (1974) (16)
Fundamental Equations and Definitions Concerning the Mechanics of Isotropic Continual (1932) (16)
Minimum-weight design of statically determinate trusses subject to multiple constraints (1971) (16)
Optimal design of beams for prescribed compliance under alternative loads (1970) (16)
Minimum-Weight Design of a Portal Frame (1956) (15)
MINIMUM-WEIGHT DESIGN FOR MOVING LOADS (1962) (15)
Mechanik isotroper Körper im plastischen Zustand (1934) (15)
On the formulation of constitutive equations for living soft tissues (1969) (15)
A COMPARISON OF EQUIVALENCE AND FINITE ELEMENT METHODS (1975) (15)
Minimum-weight design of beams for multiple loading☆ (1967) (15)
On elastic, perfectly locking materials (1966) (15)
Foulkes mechanism in optimal plastic design for alternative loads (1971) (14)
Optimal thermoelastic design for given deflection (1970) (14)
On Bus Schedules (1954) (14)
Reissner Anniversary Volume: Contributions to Applied Mechanics. (1950) (14)
The general variational principle of the theory of structural stability (1947) (13)
THE INFLUENCE OF AXIAL FORCES ON THE COLLAPSE LOADS OF FRAMES (1953) (13)
Problems of network flow (1965) (12)
On Warehousing Problems (1957) (12)
Mathematical Programming and Theory of Structures (1965) (12)
Network analysis of production smootewg (1959) (12)
Limit analysis: the development of a concept (1974) (12)
On higher rates of stress and deformation (1962) (11)
Applications of digital computers (1963) (11)
Elastic Stability of Plane Frameworks (1936) (11)
Nonlinear Problems in Mechanics of Continua (1949) (10)
A Problem in Visco-Plasticity (1962) (10)
On the Flexure of Plastic Plates (1960) (10)
CHAPTER 3 – FINITE PLASTIC DEFORMATION (1956) (10)
Optimal design of trusses for alternative loads (1972) (10)
Thermal and Creep Effects in Work-Hardening Elastic-Plastic Solids (1954) (10)
Optimal and suboptimal capacity allocation in communication networks (1971) (10)
Zur Theorie elastisch gelagerter Konstruktionen (9)
The Theory of Linear Viscoelasticity (International Series of Monographs on Pure and Applied Mathematics, vol. 10) (1960) (9)
OPTIMUM PLASTIC DESIGN OF A PORTAL FRAME FOR ALTERNATIVE LOADS. (1967) (9)
Consistent finite difference equations for thin elastic disks of variable thickness (1967) (8)
Introduction to Basic FORTRAN programming and numerical methods (1965) (8)
Optimal Design of Trusses (1985) (8)
On conjugate states of plane strain (1956) (8)
Exploring Stress‐Strain Relations of Isotropic Plastic Solids (1944) (8)
Unexpected Results in Structural Optimization (1981) (8)
A Generalization of Hitchcock's Transportation Problem (1957) (7)
THREE-DIMENSIONAL PLASTIC FLOW UNDER UNIFORM STRESS (1953) (7)
On the construction of symmetric difference operators for square and cubic lattices (1965) (7)
On plane elastic strain in doubly-connected domains (1946) (7)
Geometric Discussion of the Optimal Design of a Simple Truss (1976) (7)
Plasticity in Metals (1948) (7)
ON THE USE OF SINGULAR YIELD CONDITIONS AND AASOCIATED FLOW RULES (1953) (6)
Flow in networks with amplification and coupling (1966) (6)
Optimal Design of Grillages (1985) (5)
Mechanics of geomaterials : rocks, concretes, soils : proceedings of IUTAM William Prager Symposium held at Northwestern University, Evanston, Illinois, USA, during September 11-15, 1983 (1985) (5)
Hauptaufsätze. Beitrag zur Kinematik des Raumfachwerkes (5)
On the Role of Congestion in Transportation Problems (1955) (5)
Mehtods of stuctural optimization (1973) (5)
Closure of "Limit Design of Beams and Frames" (1952) (5)
Optimal design of sandwich beams for elastic deflection and load factor at plastic collapse (1969) (5)
Numerical solution of the generalized transportation problem (1957) (5)
On rigid workhardening solids with singular yield conditions (1957) (4)
Über die Verwendung symbolischer Methoden in der Mechanik (1933) (4)
Die Fließgrenze bei behinderter Formänderung (1933) (4)
Direct Determination of Bending and Twisting Moments in Thin Elastic Plates (1948) (4)
Plasticity for the Aerodynamicist (1948) (4)
On the interpretation of combined torsion and tension tests of thin-wall tubes (1948) (4)
On the construction of Hermitian from Lagrangian difference approximations (1967) (3)
OPTIMAL PLASTIC DESIGN OF RINGS (1969) (3)
Minimum-Weight Design of a Statically Determinate Truss Subject to Constraints on Compliance, Stress, and Cross-Sectional Area (1973) (3)
Stress waves in anelastic solids : symposium held at Brown University, Providence, R.I., April 3-5, 1963 (1964) (3)
Nomographische Bestimmung der Eigenschwingungszablen einfacher Tragwerksformen (1932) (3)
On the analogy between plates and disks (1957) (3)
ON MARTIN'S LOWER BOUND FOR RESPONSE TIME OF IMPULSIVELY LOADED RIGID-PLASTIC STRUCTURES. (1968) (3)
On the decomposition of stress and strain tensors into spherical and deviatoric parts. (1969) (3)
On plane rigid frames loaded perpendicularly to their plane (1943) (3)
Die Beanspruchung von Tragwerken durch schwingende Lasten (1930) (2)
All-86 On the use of singular yield-conditions and associated flow rules 1 By (2)
LIMIT ANALYSIS AND DESIGN (1953) (2)
On limiting states of deformation (1956) (2)
Closed-form solutions to problems of wave propagation in a rigid, workhardening, locking rod (1969) (2)
Optimum critical impulse for snap-through in systems of one degree of freedom. (1968) (2)
First Symposium in Applied Mathematics (1947) (2)
Plastic Twisting of Thick-Walled Circular Ring Sectors, (1955) (2)
Numerical and Matrix Methods in Structural Analysis (1966) (2)
Theory of plasticity (1942) (2)
Composite Stress-Strain Relations for Elastoplastic Solids (1968) (2)
Thermal stresses in viscoelastic structures (1956) (1)
The Sign of Plastic Power in the Graphical Treatment of Problems of Plane Plastic Flow (1955) (1)
Plastic twisting of a circular ring sector (1955) (1)
Direct numerical determination of the stress field in a thin elastic disk (1967) (1)
Limit analysis and soil plasticity, Wai-Fah Chen. Elsevier, Amsterdam (1975), 638, xiv + U.S. $99.95 (1976) (1)
LINEAR PROGRAMMING AND STRUCTURAL DESIGN. I. LIMIT ANALYSIS (1957) (1)
Basic Concepts and Theorems (1972) (1)
The Buckling of an Elastically Encastred Strut. (1936) (1)
Structural Mechanics in the USSR 1917–1957 (1961) (1)
Optimal Layout of Trusses (1972) (1)
Numerical Methods of Stress Analysis (1970) (1)
Review: G. Hamel, Theoretische Mechanik. Eine einheitliche Einführung in die gesamte Mechanik (1951) (1)
Dauerprüfmaschine für überlagerte Zug-Druck-und Schub-Wechselbeanspruchung (1933) (1)
Mechanisches Verhalten Plastischer Tragwerke (1955) (1)
Über das Gegenstück zum Rayleighschen Verfahren der Schwingungslehre (1932) (1)
Zur Kenntnis der Quecksilberverbindungen des Nitroessigsäureäthylesters (1912) (1)
Review of Some Basic Concepts and Theorems of Structural Analysis (1985) (1)
LINEAR PROGRAMMING AND STRUCTURAL DESIGN; 2. LIMIT DESIGN (1957) (0)
Ebener Verzerrungszustand: Eingeschränkte plastische Verformung. Traglastverfahren (1954) (0)
Studien über Esterifizierung. II. (0)
An Introduction To The Mathematical Theory Of Structures (1947) (0)
Ebener Verzerrungszustand: Besondere Probleme (1954) (0)
NUMERICAL TREATMENT OF MIXED BOUNDARY VALUE PROBLEMS IN TWO-DIMENSIONAL ELASTOSTATICS. (1969) (0)
Tables of Certain Functions Occurring in Dynamics of Structures (1943) (0)
Zusammenfassende Darstellung der dynamischen Berechnungsmethoden der Stabwerke (1933) (0)
A General Theory of Optimal Plastic Design — Optimal Division into Elements of Prescribed Shape (1972) (0)
Fachwerke und Balken (1954) (0)
Allgemeine Methoden der Schwingungslehre (1933) (0)
Über die Anzahl der Knotenpunkte bei erzwungenen und freien Stabschwingungen (1931) (0)
Das Glyzerin im Deutschen Arzneibuch (1931) (0)
Discussion: “Kinematic-Hardening in Zinc-Alloy Tubes” (Jenkins, D. R., 1965, ASME J. Appl. Mech., 32, pp. 849–858) (1966) (0)
Ebener Verzerrungszustand: Probleme mit axialer Symmetrie (1954) (0)
Beanspruchung und Formänderung von Stabwerken bei erzwungenen Schwingungen (1932) (0)
Closure of "Minimum-Weight Design of a Portal Frame" (1958) (0)
INDETERMINATE ELASTIC, WORKHARDENING BEAMS. (1967) (0)
Principles of Minimum-Weight Design (1968) (0)
[Results of the breeding of premature infants in the Leipzig Center for Premature Babies since 1954]. (1966) (0)
Torsion zylindrischer oder prismatischer Stäbe (1954) (0)
Optimal Design of Elastic Beams with Compliance Constraints (1972) (0)
Optimality Conditions for Other Structures and Constraints (1972) (0)
Elastische und hyperelastische Stoffe (1961) (0)
Formeln zur numerischen Differentiation und Integration von Funktionen mehrerer Veränderlicher (1965) (0)
Grundbegriffe der Schwingungslehre (1933) (0)
Ebener Verzerrungszustand: Allgemeine Theorie (1954) (0)
Die Berechnung zweiholmiger freitragender Flügel (0)
Ungewöhnliche Metastase eines Rektumkarzinoms (1967) (0)
Closure to “Discussions of ‘New Method of Analyzing Stresses and Strains in Work-Hardening Plastic Solids’” (1957, ASME J. Appl. Mech., 24, pp. 481–483) (1957) (0)
Hypoelastische Stoffe. Klassische Elastizitätstheorie (1961) (0)
Dynamic Response of Thin Shells to Suddenly Applied Loads. (1971) (0)
Closure to “Discussion of ‘Plastic Failure of Fiber-Reinforced Materials’” (1970, ASME J. Appl. Mech., 37, p. 241) (1970) (0)
Glycerin (1933) (0)
Zäh-plastische und ideal-plastische Stoffe (1961) (0)
Die Berechnung von Ausgleichsschwingungen (1933) (0)
Endliche Plastische Formänderungen (1955) (0)
Die Berechnung der erzwungenen Schwingungen von Stabwerken infolge der Belastung durch schwingende Kräfte (1933) (0)
Foundations of the Non-Linear Mechanics of Continua (L. I. Sedov) (1968) (0)
Mechanisches Verhalten Plastischer Stoffe (1955) (0)
Die Berechnung der Eigenschwingungszahlen von Stabwerken (1933) (0)
Beanspruchung und Formänderung von Stabwerken bei erzwungenen Schwingungen (1932) (0)
Methods of stuctural optimization (1973) (0)
[Errors and hazards of Mammography. Comment on the report of A. K. Schmauss, G. G. Adler and B. Arlt, published in the issue 18-1969 of this journal]. (1970) (0)
Book reviews (1974) (0)
Solutions to Exercises (1985) (0)
Problem Formulation and Optimality Criteria (1985) (0)
GRAPHICAL CONSTRUCTION OF SLIPLINE FIELDS IN SOIL MECHANICS (1958) (0)

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William Prager's Published Works

Published Works

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What Schools Are Affiliated With William Prager?

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