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Elastic Wave Propagation in Homogeneous and Inhomogeneous Media

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Stress Analysis

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Kerbspannungslehre

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Some theorems in classical elastodynamics

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The Cauchy problem for elastic waves in an anisotropic medium

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Les fonctions polyharmoniques

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Sur les équations de l’équilibre d’un corps solide élastique

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On inequalities of Korn's type

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Second Order Elliptic Systems of Differential Equations

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II. Strongly Elliptic Systems of Differential Equations

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A note on variational principles in elasticity

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On the propagation of elastic waves in aeolotropic media. III. Media of cubic symmetry

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Eigenmodal deformations in elastic/plastic continua

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The convergence of finite element method in solving linear elastic problems

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Note on the Galerkin and Papkovitch stress functions

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On Saint-Venant’s principle

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On the solution of problems of dynamic plane elasticity

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On the Completeness of the Boussinesq-Papkovich Stress Functions

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Modern algebraic topology

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3d. On the Laws of the Reflexion and Refraction of Light at the Common Surface of Two Noncrystallized Media by George Green, ESQ., B.A., Caius College

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XXVIII. Dynamical problems regarding elastic spheroidal shells and spheroids of incompressible liquid

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Die Spannungsfunktionen des dreidimensionalen Kontinuums und des elastischen Körpers

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ON THE THREE-DIMENSIONAL PROBLEMS OF THE THEORY OF ELASTICITY OF A TRANSVERSELY ISOTROPIC BODY~*

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Theorie der Elasticität fester Körper

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Sur l'extension de la condition de Legendre du calcul de variations aux intégrales multiples à plusieurs fonctions inconnues

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Sur la théorie de l'élasticité. Premier mémoire

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Material Symmetry and Thermostatic Inequalities in Finite Elastic Deformations

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THE TRANSFORMATION TO ISOTROPIC FORM OF THE EQUILIBRIUM EQUATIONS FOR A CLASS OF ANISOTROPIC ELASTIC SOLIDS

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Die Selbstspannungs-Eigenwertfunktionen der quadratischen Scheibe

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ELASTIC WAVES IN TRIGONAL CRYSTALS

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Solution générale du problème d'équilibre dans la théorie de l'élasticité, dans le cas ou les efforts sont donnés à la surface

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The elastic tensor of given symmetry nearest to an anisotropic elastic tensor

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Complex potentials in two-dimensional elasticity

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On Differential Operators in Hilbert Spaces

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Grundlagen der Hydromechanik

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The Hypercircle in Mathematical Physics: A Method for the Approximate Solution of Boundary Value Problems

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Korn inequalities for the sphere and circle

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Implications Of Hadamard's Conditions For Elastic Stability With Respect To Uniqueness Theorems

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A generalization of the Beltrami stress functions in continuum mechanics

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Sur la théorie des ondes de choc dans un fluide

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Ansätze zur Lösung der Grundgleichungen der Elastizitätstheorie

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�ber die Eindeutigkeit und das Abh�ngigkeitsgebiet der L�sungen beim Anfangswertproblem linearer hyperbolischer Differentialgleichungen

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Diffraction of Elastic Waves

1956 • 54 citations

Die Bewegungsgruppen der Kristallographie

1947 • 54 citations

On the Propagation of Waves in Isotropic Incompressible Perfectly Elastic Materials

1953 • 53 citations

Ueber die Reflexion an einer Kugelfläche.

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Untersuchungen über die Stabilität der elastischen Linie in Ebene und Raum, unter verschiedenen Grenzbedingungen

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On the completeness of a set of stress functions appropriate to the solution of elasticity problems in general cylindrical coordinates

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Theorems in linear elastostatics for exterior domains

1961 • 50 citations

Die Spannungsfunktionen der dreidimensionalen isotropen Elastizit�tstheorie

1954 • 50 citations

Iterationsverfahren und Operatorgleichungen in der Elastizitätstheorie

1962 • 49 citations

Calculus of Variations and Its Applications

1958 • 48 citations

On the Concept of Concentrated Loads and an Extension of Uniqueness Theorem in the Linear Theory of Elasticity

1955 • 48 citations

Existence of Longitudinal Waves

1966 • 47 citations

Uniqueness in classical elastodynamics

1968 • 46 citations

An Extension of the Hu-Washizu Variational Principle in Linear Elasticity for Dynamic Problems

1966 • 46 citations

Sull'esistenza e sul calcolo delle soluzioni dei problemi al contorno, relativi all'equilibrio di un corpo elastico

1950 • 45 citations

VIII.—An Analytical Theory of the Equilibrium of an Isotropic Elastic Plate

1906 • 45 citations

The principle of Saint-Venant in linear and non-linear plane elasticity

1967 • 45 citations

Uniqueness in general boundary-value problems for elastic or inelastic solids

1961 • 44 citations

On stress functions for elastokinetics and the integration of the repeated wave equation

1957 • 44 citations

Rayleigh's Principle and its Applications to Engineering

1957 • 44 citations

Sur les vibrations des corps élastiques isotropes

1894 • 44 citations

Existence of Longitudinal Waves in Anisotropic Media

1966 • 43 citations

On Helmholtz's theorem and the completeness of the Papkovich-Neuber stress functions for infinite domains

1962 • 42 citations

LXXXVII. Some boundary problems of two-dimensional elasticity

1943 • 42 citations

Sur la théorie de l'élasticité

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Relaxation Methods Applied to Engineering Problems

1947 • 41 citations

Leçons sur la Théorie de L'élasticité

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Minimum energy characterizations of Saint-Venant's solution to the relaxed Saint-Venant problem

1966 • 41 citations

The Propagation of Wave-Motion in an Isotropic Elastic Solid Medium

1904 • 41 citations

ON THE GENERAL THEORY OF ELASTICITY FOR A SPHERICALLY ISOTROPIC MEDIUM

1954 • 41 citations

Calcolo tensoriale e applicazioni

1951 • 39 citations

Variational principles in elastostatics

1967 • 39 citations

A Principle of Minimum Transformed Energy in Linear Elastodynamics

1970 • 39 citations

Konvergenz und Fehlersch�tzung beim Ritzschen Verfahren

1928 • 39 citations

Bounds for Solutions of Boundary Value Problems in Elasticity

1953 • 39 citations

A note on Cauchy's stress theorem

1968 • 38 citations

Reports of the Research Institute for Strength and Fracture of Materials

1965 • 38 citations

Sopra l'equilibrio di un corpo elastico isotropo

1886 • 38 citations

Sulle formole del volterra fondamentali nella teoria delle distorsioni elastiche

1906 • 38 citations

Generalized Hamilton's Principle and Variational Equation of Motion in Nonlinear Elasticity Theory, with Application to Plate Theory

1964 • 37 citations

Propagation of Stress Discontinuities in Inhomogeneous Elastic Media

1964 • 36 citations

Stability in linear elasticity

1968 • 36 citations

On concentrated loads and green's functions in elastostatics

1968 • 35 citations

Ein Satz über mittlere Konvergenz

1930 • 35 citations

A convergence investigation of the direct stiffness method

1966 • 34 citations

Wave propagation in anisotropic elasticity

1966 • 34 citations

XLVI. On the reflexion and refraction of light

1888 • 33 citations

LX.A general proof of Saint-Venant's principle

1937 • 33 citations

A Note on the Conditions of Compatibility

1957 • 32 citations

Some remarks on Korn's inequality

1968 • 31 citations

Leçons sur la propagation des ondes et les équations de l'hydrodynamique, par Jacques Hadamard

1903 • 31 citations

Eigenvalue problems associated with Korn's inequalities

1971 • 30 citations

Osservazioni sulla nota precedente

1890 • 30 citations

Elastic wave fields generated by scalar wave functions

1967 • 30 citations

Probleme der Spannungsverteilung in ebenen Systemen : einfach gelöst mit Hilfe der airyschen Funktion

1905 • 29 citations

Application of analytic functions to two-dimensional biharmonic analysis

1946 • 29 citations

Untersuchungen über die mit dem Fortbestehen linearer partieller Differentialgleichungen verträglichen Unstetigkeiten

1877 • 28 citations

An Application of a Dynamic Reciprocal Theorem

1959 • 27 citations

Sui teoremi di reciprocità nei fenomeni dipendenti dal tempo

1939 • 27 citations

A note on uniqueness in classical elastodynamics

1961 • 27 citations

Completeness of the Papkovich potentials

1969 • 27 citations

A pointwise estimate for the stress in a cylinder and its application to Saint-Venant's principle

1966 • 27 citations

Il Teorema del massimo modulo per l'equazione dell' elastostatica tridimensionale

1961 • 27 citations

Recherches sur l'élasticité

1905 • 26 citations

Analytic Continuation in Elasticity

1956 • 25 citations

�ber die erste Randwertaufgabe der Elastizit�tstheorie

1924 • 25 citations

On Reciprocal Diagrams in Space, and their relation to Airy's Function of Stress

1866 • 25 citations

Wave propagation and uniqueness in prestressed elastic solids

1963 • 25 citations

On Saint-Venant's principle and the torsion of solids of revolution

1966 • 24 citations

Upper and lower bounds for the solution of the first boundary value problem of elasticity

1948 • 24 citations

A uniqueness theorem for the displacement boundary-value problem of linear elastodynamics

1965 • 24 citations

Théorie du potentiel Newtonien

1899 • 23 citations

An Extension of Saint-Venant's Principle, with Applications

1942 • 23 citations

Nuovi indirizzi di ricerca nella teoria e nel calcolo delle soluzioni di talune equazioni lineari alle derivate parziali della fisica-matematica

1936 • 23 citations

Relaxation methods applied to engineering problems - Biharmonic analysis as applied to the flexure and extension of flat elastic plates

1945 • 23 citations

Integration of the Laplace transformed equations of classical elastokinetics

1966 • 23 citations

Die Spannungsfunktionen des dreidimensionalen Kontinuums; statische Deutung und Randwerte

1959 • 23 citations

Allgemeine Formeln für die Bestimmung der Elasticitätsconstanten von Krystallen durch die Beobachtung der Biegung und Drillung von Prismen

1882 • 23 citations

A displacement bound technique for elastic continua subjected to a certain class of dynamic loading

1964 • 22 citations

General solution of the problem of elastostatics of an 𝑛-dimensional homogeneous isotropic solid in an 𝑛-dimensional space

1935 • 22 citations

Bounds on Elastic Moduli of Composite Media

1969 • 22 citations

�ber den Reziprozit�tssatz in der Dynamik der elastischen K�rper

1954 • 22 citations

Achsensymmetrische Deformation von Umdrehungskörpern

1924 • 21 citations

ON THE COMPLETENESS OF CERTAIN STRESS FUNCTIONS IN THE LINEAR THEORY OF ELASTICITY

1961 • 21 citations

The meaning of Betti's reciprocal theorem

1963 • 21 citations

Recherches sur les problèmes aux limites relatifs à l'équation biharmonique et aux équations de l'élasticité à deux dimensions

1933 • 21 citations

A note on non-uniqueness in linear elasticity theory

1968 • 21 citations

A converse to the virtual work theorem for deformable solids

1956 • 20 citations

Some least work principles for elastic bodies

1966 • 20 citations

Castigliano’s principle of minimum strain-energy

1936 • 20 citations

On the Stress-Function Approaches of Boussinesq and Timpe to the Axisymmetric Problem of Elasticity Theory

1951 • 20 citations

On the first boundary-value problem of linear elastostatics

1960 • 20 citations

On exterior boundary value problems in linear elasticity

1958 • 19 citations

On Green's functions and Saint-Venant's principle in the linear theory of viscoelasticity

1964 • 19 citations

Elastic Waves in Crystals

1941 • 19 citations

On a Dynamical Saint Venant Principle

1960 • 19 citations

DIVISION OF ENGINEERING: SAINT-VENANT AND A MATTER OF PRINCIPLE*

1965 • 19 citations

Verschiebungsfunktionen für elastische Schwingungsprobleme

1957 • 19 citations

Some results in the linear dynamical theory of anisotropic elastic solids

1970 • 19 citations

On the completeness of the Beltrami stress functions in continuum mechanics

1966 • 18 citations

The Uniform Torsion of an Incomplete Tore

1949 • 18 citations

On the Dirichlet problem for linear differential equations

1957 • 18 citations

Sulle equazioni della elasticità

1889 • 18 citations

Application of Rall's theorem to classical elastodynamics

1966 • 17 citations

A priori bounds in the First boundary value problem in elasticity

1961 • 17 citations

Some uniqueness theorems in the theory of elasticity

1962 • 17 citations

ON DYNAMICAL PROBLEMS OF PLANE STRESS AND PLANE STRAIN

1953 • 17 citations

Spannungsfunktionen des dreidimensionalen Kontinuums

1948 • 17 citations

Nonexistence theorems in linearized elastostatics

1965 • 16 citations

Saint Venant’s Principle: A Biharmonic Eigenvalue Problem

1957 • 15 citations

Herstellung von Lösungen gemischter Randwertprobleme bei hyperbolischen Differentialgleichungen zweiter Ordnung durch Zusammenstückelung aus Lösungen einfacherer gemischter Randwertaufgaben

1920 • 15 citations

Remarks on variational principles in elastodynamics

1964 • 14 citations

Sull'integrazione di alcune equazioni lineari alle derivate parziali

1903 • 14 citations

Variational principles of elasticity in terms of the polarization tensor

1967 • 14 citations

Non existence theorems in linear elasticity theory

1963 • 14 citations

Three-dimensional stress functions

1954 • 13 citations

Kriterien für die physikalische Bedeutung der unstetigen Lösungen der hydrodynamischen Bewegungsgleichungen

1905 • 13 citations

Error bounds for the Rayleigh-Ritz-Galerkin method

1969 • 13 citations

An extension of the method of Trefftz for finding local bounds on the solutions of boundary value problems, and on their derivatives

1953 • 13 citations

XVI. On Castigliano's theorem of least work, and the principle of St. Venant

1923 • 13 citations

A General Method of Solving the Equations of Elasticity

1897 • 13 citations

Elastostatic uniqueness in the half-space

1967 • 13 citations

Upper estimate of the potential elastic energy of a cylinder

1966 • 12 citations

A note on the derivation of the discontinuity conditions across contact discontinuities, shocks and phase fronts

1964 • 12 citations

The thermal-stress and body-force problems of the infinite orthotropic solid

1944 • 12 citations

XXXIV.Supplementary note on “A General Proof of Saint-Venant's Principle”

1937 • 11 citations

Saint-Venant’s procedure and Saint-Venant’s principle

1965 • 11 citations

Uniformly Moving Dislocations in Anisotropic Media

1953 • 11 citations

Propagazione ondosa nei continui anisotropi e corrispondenti direzioni principali

1949 • 11 citations

Über die Brechung des Lichtes: In Cristallinischen Mitteln

1885 • 11 citations

On the displacement boundary-value problem of linear elastodynamics

1968 • 11 citations

An Analogue of the Spherical Harmonics for the Equations of Elasticity

1961 • 11 citations

Das Fundamentalintegral der Elastizitätstheorie für kubische Medien

1968 • 11 citations

Introduzione alla teoria matematica della elasticita

1895 • 11 citations

Airysche Spannungsfunktion und isotrope Differentialgeometrie

1962 • 11 citations

A Note on the Beltrami Stress Functions

1967 • 11 citations

Über Spannungsflächen und reziproke Diagramme. mit besonderer Berücksichtigung der Maxwellschen Arbeiten

1922 • 10 citations

Variational principles in the linear theory of elasticity for general boundary conditions

1967 • 10 citations

Spannungsfunktionen und Verträglichkeitsbedingungen der Kontinuumsmechanik

1954 • 10 citations

ON THE DISPLACEMENT BOUNDARY-VALUE PROBLEM IN LINEAR ELASTOSTATICS

1966 • 10 citations

Sopra l'equazioni di equilibrio dei corpi solidi elastici

1873 • 10 citations

A note on the principle of minimum potential energy for linear anisotropic elastic solids

1963 • 9 citations

UNIQUENESS THEOREMS OF TWO-DIMENSIONAL ELASTICITY THEORY

1952 • 9 citations

Variational principles in anisotropic and nonhomogeneous elastokinetics

1966 • 9 citations

One form of solution of three-dimensional axisymmetric problems of elasticity theory by means of functions of a complex variable and the solution of these problems for the sphere

1962 • 9 citations

The Decay of Waves in Elastic Solids

1957 • 9 citations

A note on stress functions

1967 • 9 citations

Comment on Longitudinal Waves

1968 • 9 citations

Reissner's variational principle and elastodynamics

1968 • 8 citations

On the general form of the Beltrami equation and Papkovich's solution of the axially symmetrical problem of the classical theory of elasticity

1957 • 8 citations

XXIII. Castigliano's principle of minimum strain-energy, and the conditions of compatibility for strain

1940 • 8 citations

On plane elastic strain in doubly-connected domains

1946 • 8 citations

Integral equations formulation of classical elasticity

1969 • 8 citations

Eine Verallgemeinerung des Prinzips vom Minimum der potentiellen Energie elastischer K�rper

1960 • 8 citations

Saggio di una teoria generale delle equazioni dell'equilibrio elastico per un corpo isotropo

1910 • 8 citations

An Elementary Treatise on the Mathematical Theory of Perfectly Elastic Solids: With a Short Account of Viscous Fluids

1887 • 8 citations

Stress functions of Maxwell and Morera

1954 • 8 citations

Theorie der Wasserräder

1910 • 8 citations

V. On the reflection and refraction of light

1894 • 8 citations

On the Solution of the Equilibrium Equations of Elasticity in General Curvilinear Coordinates

1949 • 7 citations

On some new continuation formulas and uniqueness theorems in the theory of elasticity

1961 • 7 citations

Some Mean Value Theorems in Elastostatics

1964 • 7 citations

LX. Further application of the principle of least action

1865 • 7 citations

Erweiterung des Prinzips der virtuellen Verschiebungen und des Prinzips der virtuellen Kräfte

1970 • 7 citations

On Stress-functions in General Coordinates

1949 • 7 citations

A reciprocal theorem in the linearized theory of couple-stresses

1967 • 7 citations

Stress functions for the axisymmetric, orthotropic, elasticity equations

1964 • 6 citations

Eine Erweiterung des Hamiltonschen Prinzips zur Integration mechanischer Anfangs-Randwertaufgaben

1962 • 6 citations

J. J. Burckhardt, Die Bewegungsgruppen der Kristallographie. (Mineralogisch‐geotechnische Reihe, Band II) 209 S. m. 67 Fig. Basel/Stuttgart 1966. Birkhäuser Verlag. Preis geb. sFr. 37.50

1966 • 6 citations

Uniqueness for the Whole Space in Classical Elasticity

1964 • 6 citations

On the Derivation of the Conditions of Compatibility from Castigliano's Principle by Means of Three‐Dimensional Stress Functions

1965 • 6 citations

Der räumliche Spannungszustand in Umdrehungskerben

1935 • 6 citations

Ein neues Variationsprinzip in der Elastizit�tstheorie

1961 • 6 citations

Derivation of non-classical variational principles in the theory of elasticity

1967 • 6 citations

Spannungsfunktionen achsensymmetrischer Deformation in Zylinderkoordinaten

1951 • 6 citations

Some converses of mean value theorems in the theory of elasticity

1965 • 6 citations

Über die Verschiebungsfunktionen für das achsensymmetrische Problem der Elastodynamik

1958 • 6 citations

LXVI. Experimental inquiry into the proportion of the several gases or elastic fluids constituting the atmosphere

1806 • 6 citations

Über das dreidimensionale Problem der Elastokinetik

1965 • 5 citations

Уравнения совместно сти и функции напряже ний В тензорном виде

1953 • 5 citations

Spannungsfunktionen für die von Kugel= und Kegelflächen begrenzten Körper und Kuppelproblem

1950 • 5 citations

Rayleigh's principle and its applications to engineering : the theory and practice of the energy method for the approximate determination of critical loads and speeds

1956 • 5 citations

Torsionsfreie achsensymmetrische Deformation von Umdrehungskörpern und ihre Inversion

1948 • 5 citations

On stress functions in classical elasticity

1966 • 5 citations

Über eine Spezialisierung des <scp>Schaefer</scp>schen Spannungsfunktionenansatzes in der räumlichen Elastizitätstheorie

1964 • 5 citations

XXXV. On Mr. F<scp>earn's</scp> Observations on external perception, &amp;c.

1815 • 5 citations

über die Marguerresche Spannungsfunktion

1934 • 4 citations

The Physical Meaning of Astatic Equilibrium in Saint-Venant’s Principle for Linear Elasticity

1969 • 4 citations

Treatise on Natural Philosophy, Part 2

2003 • 4 citations

Über die elastischen Eigenschwingungen endlicher Körper

1965 • 4 citations

On an integral equation approach to displacement problems of classical elasticity

1972 • 4 citations

Supplement to a Memoir on the Reflexion and Refraction of Light

2014 • 4 citations

Sopra gli integrali delle equazioni della isotropia elastica

1894 • 4 citations

On Castigliano's Theorem in Threedimensional Elastostatics

1948 • 4 citations

Note on Green’s function in anisotropic elasticity

1962 • 4 citations

On the Airy-Maxwell Solution of the Equations of Equilibrium of an Isotropic Elastic Solid, under Conservative Forces

1885 • 3 citations

ON THE RELATION BETWEEN CORRESPONDING PROBLEMS IN PLANE STRESS AND IN GENERALIZED PLANE STRESS

1930 • 3 citations

The equations of compatibility and stress functions in tensor form

1953 • 3 citations

A note on Love's stress function.

1969 • 3 citations

On the displacement boundary-value problem of static linear elasticity theory

1968 • 3 citations

Teoria matematica della elasticita

1931 • 3 citations

Note on a paper by J. R. M. Radok

1958 • 3 citations

Uniqueness of the displacement boundary value problem for the classical elastic half-space

1965 • 3 citations

Ковариантная форма о бщего решения галерк ина уравнений упругого равновесия

1954 • 3 citations

Uniqueness of axisymmetric elastostatic problems for finite regions

1965 • 3 citations

Über eine Möglichkeit zur Kontrolle der physikalischen Widerspruchsfreiheit der Gleichungen der mathematischen Elastizitätstheorie

1951 • 2 citations

On Reissner's variational theorem for boundary values in linear elasticity

1971 • 2 citations

MEAN DISPLACEMENTS ON THE BOUNDARY OF AN ELASTIC SOLID

1953 • 2 citations

A new decomposition formula in the theory of elasticity

1961 • 2 citations

Sopra alcune limitazioni per la sollecitazione elastica e sopra la dimostrazione del principio del De Saint Venant

1931 • 2 citations

Su una proprietà di media caratteristica per l'equazione dell'elastostatica

1957 • 2 citations

ON TWO VARIATIONAL PRINCIPLES ABOUT THE NATURAL FREQUENCIES OF ELASTIC BODIES

1958 • 2 citations

Majoration des tensions dans un corps élastique à l'aide des déplacements superficiels

1964 • 1 citations

Sur l'équilibre d'élasticité d'une enveloppe sphérique

1890 • 1 citations

Equilibrio e congruenza nei sistemi continui

1963 • 1 citations

Dorian's Handwörterbuch der Naturwissenschaft und Technik. Englisch‐Deutsch. 1250 S. m. 120000 Stichworten. Amsterdam 1967. Elsevier Publishing Company. Preis geb. DM 89,–

1968 • 1 citations

Sur les champs de tensions

1964 • 1 citations

Recherches sur l'élasticité (suite)

1904 • 1 citations

A note on the stress function.

1963 • 1 citations

Deleted Work

1955 • 0 citations