THEORETICAL MECHANICS
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PERSONAL RESEARCH
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Books
D. H. Delphenich (ed.), Selected Papers on Gauss's Principle of Least Constraint, Neo-classical Press, Spring Valley, OH, 2020.
Published articles
D. H. Delphenich, “On the general structure of mathematical models for physical systems,” Ann. Phys. (Berlin) 523 (2011), 965-989
D. H. Delphenich, “The homology of defective crystal lattices and the continuum limit,” Ann. Phys. (Berlin) 522 (2010), 874-903
D. H. Delphenich, “On the variational formulation of systems with non-holonomic constraints,” Ann. Phys. (Berlin) 18 (2009), 649-670.
D. H. Delphenich, “Integrability and the variational formulation of non-conservative mechanical systems,” Ann. Phys. (Berlin) 18 (2009), 45-56.
arXiv.org uploads
D. H. Delphenich, “Foliated Cobordism and Motion,” arXiv:gr-qc/0209091
D. H. Delphenich, “Groups of motions and mechanics I: point mechanics,” arXiv:0708.1572
D. H. Delphenich, “A generalization of Noether's theorem based on the virtual work functional,” arXiv:1109.0461
D. H. Delphenich, “On the topological nature of Volterra's theorem,” arXiv:1109.2012
D. H. Delphenich, "The representation of physical motions by various types of quaternions," arXiv:1205.4440.
D. H. Delphenich, "Mechanics of Cosserat media I: non-relativistic statics," arXiv:1212.0399
D. H. Delphenich, "The use of the teleparallelism connection in continuum mechanics," arXiv:1305.3477
D. H. Delphenich, "The role of homology in fluid vortices I: non-relativistic flow," arXiv:1412.3059
D. H. Delphenich, "Mechanics of Cosserat theory: II. relativistic theory, arXiv:1510.01243
D. H. Delphenich, "Homology, equilibrium, and conservation laws I: Discrete systems of points," arXiv:1901.03171
D. H. Delphenich, "The role of pseudo-hypersurfaces in non-holonomic motion," arXiv:1906.00714
D. Delphenich, "The Foucault pendulum as an example of motion on a pseudo-surface," arXiv:2007.12572
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TRANSLATIONS
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Points and rigid bodies
A. F. Moebius, "On a special kind of dual relationship between figures in space," J. f. d. reine u. angew. Math. 10 (1833), 317-341.
O. Rodrigues, "On the geometric laws that govern the displacements of a solid system in space...," J. Math. pures appl. 5 (1840), 380-440.
G. Battaglini, "On the composition of forces," Rend. Accad. scienze fisiche Napoli 8 (1869), 23-32,
G. Battaglini, "On the theory of moments," Rend. Accad. scienze fisiche Napoli 8 (1869), 87-94,
G. Battaglini, "On dynames in involution," Rend. Accad. scienze fisiche Napoli 8 (1869), 166-167,
G. Battaglini, "On the infinitesimal geometric motion of a rigid system," Rend. Accad. scienze fisiche Napoli 9 (1870), 89-100.
F. Klein, “Note on the connection between line geometry and the mechanics of rigid bodies,” Math. Ann. 4 (1871); Ges. math. Abh., art. XIV, pp. 226-238.
L. Cremona, Reciprocal figures in graphical statics, Bernadoni, Milan, 1872.
A. Migiotti, "Reciprocal figures in graphical statics," Zeit. des osterr. Ingen. u. Arch.-Vereins (1873), 230-240.
H. Grassmann, "Mechanics, according to the principles of the theory of extensions," Math. Ann. 12 (1877), 222-240.
C. Geiser, "On a fundamental theorem in the kinematic geometry of space," J. f. d. reine u. angew. Math. 90 (1881), 39-43.
G. Hauck, "On the reciprocal figures of graphical statics," J. f. d. reine u. angew. Math. 100(1887), 365-389.
C. Kuepper, "The screwing motion, the null system, and the linear complex," Monatsh. f. Math. u. Phys. (1890), 95-104.
E. Study, "On motions and transfers," Math. Ann. 39 (1891), 441-566.
E. Carvallo, "Theory of the balancing foot for the Gervat gyroscope," Bull. Soc. math. France 21 (1893), 55-61.
F. Schur, "On the reciprocal figures of graphical statics," Zeit. Phys. 40 (1895), 48-53.
J. Luroth, "The motion of a rigid body," Zeit. f. Math. u. Phys. 43 (1898), 243-270.
H. Grassmann, Jr., "Screw theory and null systems," Inaugural lecture, Halle, 1899.
K. Heun, "The meaning of d'Alembert's principle for rigid systems and link mechanisms," Archiv der Math. und Phys. (3) 2 (1901), 55-77.
K. Heun, "The meaning of d'Alembert's principle for rigid systems and link mechanisms (cont.)," Archiv der Math. und Phys. (3) 2 (1901), 298-326.
K. Zindler, Line geometry, with applications, v. I, Goschen, Leipzig, 1902.
A. Grunwald, "Sir Robert S. Ball's space of linear screws," Zeit. f. Math. u. Phys. 48 (1902), 49-108.
E. Study, "General outline of a new method in kinematics," Appendix, Geometrie der Dynamen, B. G. Teubner, Leipzig, 1903.
E. Cotton, "Application of Cayley geometry in the geometric study of the displacement of a solid around a point," Ann. de l'E.N.S. (3) 20 (1903), 155-179.
F. Klein, “On stress surfaces and reciprocal diagrams, with special consideration of the Maxwell papers,” Archiv der Math. und Phys. 8 (8) (1904); Ges. math. Abh., Bd. 2, art. LXXVII.
F. Klein, “On Sir Robert Ball’s theory of screws,” Zeit. Math. Phys. 47 (1902), republished with an appendix in Math. Ann. 62 (1906); Ges. math. Abh., art. XXIX, pp. 525-554.
F. Klein, “On self-stresses of planar diagrams,” Math. Ann. 67 (1909), 433-444; Ges. math. Abh., Bd. 2, Springer, Berlin, 1973.
F. Pfeiffer, "On the statics of planar frameworks," Zeit. f. Math. u. Phys. 58 (1909-10), 262-272.
R. Weitzenbock, "On the system of forms of linear complexes in R3," Jber. d. Deut. Math.-Verein. 19 (1910), 225-238.
A. Schoenflies, "Simple derivation of the parameter formulas for motions and transfers," Rend. del Circ. mat. di Palermo (1) 9 (1910), 329-339.
T. Levi-Civita, "On the displacement of equilibrium," Atti Ist. Ven. (7) 71 (1911-12), 241-249; Opere matematiche, v. III., art. XVII, pp. 253-260.
P. Voronets, "On the motion of a rigid body that rolls without slipping on an arbitrary surface," Math. Ann. 70 (1911), 410-453.
W. Blaschke, “Euclidian kinematics and non-Euclidian geometry I, II,” Zeit. f. Math. und Phys. 60 (1911), 61-92; Ges. Werke, v. 2.
J. Gruenwald, "A mapping principle that links plane geometry and kinematics with spatial geometry," Sitz. d. Kaiserliche Akad. d. Wiss.: math-phys. Kl. 120, pt 2a (1911), 677-741.
K. Strubecker, "Kinematics, Lie's circle geometry, and the line-sphere transformation," Elemente der Mathematik 8 (1911), 4-13.
E. and F. Cosserat, "Note on the dynamics of a point and an invariable body," From O. D. Chwolson, Traité de physique, v. 1, trans. by E. Davaux, 2nd French ed., Hermann et fils, Paris, 1912, pp. 328-365.
G. Hamel, “Statics of rigid bodies (theory),” excerpt from Elementare Mechanik: ein Lehrbuch, Teubner, Leipzig, 1912.
E. Study, "Foundations and goals of analytical kinematics," Sitzber. d. Berl. math. Ges. 13 (1913), 36-60.
H. Beck, "On linear manifolds of somas," Math. Ann. 81 (1920), 187-218.
H. Beck, "On improper somas," Math. Ann. 87 (1920), 152-156.
R. von Mises, “Motor algebra – a new tool for mechanics,” ZAMM 4 (1924), 155-181.
R. von Mises, “Applications of motor algebra,” ZAMM 4 (1924), 193-213.
E. A. Weiss, Introduction to line geometry and kinematics, Teubner, Leipzig, 1935.
R. Sauer, Projective Line Geometry, De Gruyter, Berlin and Leipzig, 1937.
J. H. Argyris, "The matrix theory of statics," Ingenieur-Archiv 25 (1957), 174-192.
W. Blaschke, “Applications of dual quaternions to kinematics,” Annales Academiae Scientiarum Fennicae, (1958), 1-13; Gesammelte Werke, v. 2.
W. Blaschke, "Kinematics and quaternions," VEB, Deutscher Verlag der Wissenschaften, Berlin, 1960.
Continuum mechanics
L. Euler, "On elastic curves," Appendix to Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes, Lausanne and Geneva 1744.
J. Bertrand, "On the equilibrium of an elastic line," Note III from J.-L. Lagrange, Mecanique analytique, t. 1, 1788.
S. D. Poisson, "On elastic surfaces," Mem. Acad. roy. Sci. Inst. Nat. 9 (1814-1816), 167-225.
J. Binet, "Memoir on the analytical expression of the elasticity and stiffness of curves of double curvature," J. Ecole poly., Cahier XVII, 10 (1815), 418-456.
S. D. Poisson, "On elastic lines of double curvature," Correspondance sur l'Ecole Poly. 3 (1816), 355-360.
E. Bobillier, "On the equilibrium of flexible curve on a curved surface," Ann. Math. pures et appl. 20 (1829-1830), 153-175.
F. Minding, "On the bending of certain surfaces," J. f. d. reine u. angew. Math. 18 (1838), 297-302.
F. Minding, "On the bending of curved surfaces," J. f. d. reine u. angew. Math. 18 (1838), 365-368.
O. Bonnet, "Geometrical and mechanical properties of some remarkable curves," J. Math. pures et appl. 9 (1844), 97-112.
O. Bonnet, "Solving some problems of mechanics," J. math. pures et appl. 9 (1844), 217-238.
J. Binet, "Memoir on the integration of the equations of an elastic curve of double curvature," C. R. Acad. Sci. 18 (1844), 1115-1119.
J. Bertrand, "On the theory of capillary phenomena," J. math. pures appl. 13 (1848), 185-208.
A. Clebsch, "On a general transformation of the hydrodynamical equations," J. f. d. reine und angew. Math. 54 (1857), 293-312.
G. Kirchhoff, "On the equilibrium and the motion of an infinitely-thin elastic rod," J. f. d. reine u. angew. Math. 56 (1858), 285-313.
A. Clebsch, "On a general transformation of the hydrodynamical equations," J. reine angew. Math. 54 (1857), 293-312.
A. Clebsch, "On the integration of the equations of hydrodynamics," J. f. reine u. angew. Math. 56 (1859), 1-10.
A. Clebsch, "On the equilibrium figure of a flexible string," J. f. reine u. angew. Math. 57 (1860), 93-110.
E. Beltrami, "On the flexion of ruled surfaces," Ann. Mat. pura ed appl. (1) 7 (1863), 105-138.
E. Betti, "Theory of capillarity," Il Nuovo Cimento 25 (1867), 81-105 and 225-237.
H. Helmholtz, "On discontinuous fluid motions," Monatsber. d. konigl. Akad. d. Wiss. zu Berlin (1868), 215-228.
L.-F. Menabrea, General principle for determining pressures and tensions in an elastic system, Gauthier-Villars, Turin, 1868.
L. Boltzmann, "On the pressure that acts on a ring that is immersed in a moving fluid," J. reine angew. Math. 73 (1871), 111-134.
C. W. Borchardt, "On the transformations of the equations of elasticity into general orthogonal coordinates," J. reine u. angew. Math. 76 (1873), 45-58.
H. Aron, "The equilibrium and motion of an infinitely-thin, arbitrarily-curved, elastic shell," J. f. reine u. angew. Math. 78 (1874), 136-174.
A. Castigliano, "On the equilibrium of elastic systems," G. B. Paravia and Co., Turin, 1875.
E. Beltrami, "Fundamental formulas of kinematics in spaces of constant curvature," Bull. Sci. math. et astronomiques 11 (1876), 233-240.
L. Lecornu, "On the equilibrium of flexible, inextensible surfaces," J. Ecole Poly. 29 (1880), 1-109.
E. Beltrami, "On the equilibrium of flexible, inextensible surfaces," Mem. Accad. scienze Istituto Lombardo (4) 3 (1881), 217-265.
E. Beltrami, "On the general equations of elasticity," Ann. di Math. pura ed appl. (2) 10 (1880-82), 188-211.
P. Appell, "Reducing the equations of equilibrium for a flexible, inextensible filament to canonical form," Comptes rendus de l'Academie des Sciences 96 (1883), 688-691.
A. Legoux, "Canonical equations. Application to the study of the equilibrium of flexible filaments and brachistochrone curves," Mem. Acad. Sci. de Toulouse (8) 7 (1883), 545-570.
W. Hess, "On the bending and twisting of an infinitely-thin elastic rod when a force-couple acts upon one end," Math. Ann. 23 (1884), 181-212.
H. Poincare, Capillarity, Gauthier-Villars, Paris, 1885.
E. Beltrami, "On the resistance conditions for elastic bodies," Rend. Reale Ist. Lombardo di scienze (2) 18 (1885), 704-714.
E. Beltrami, "On the mechanical interpretation of Maxwell's formulas," Mem. R. Accad. sci. dell’Istituto di Bologna (4) 7 (1886), 3-38.
P. Appell, "On the equilibrium of a flexible, inextensible filament," Ann. fac. sci. Toulouse (1) 1 (1887), B1-B5.
J. Weingarten, "On the deformation of a flexible, inextensible surface," J. fur reine u. angew. Math. 100 (1887), 296-310.
L. Donati, "On the work done by deformation in elastic systems," Mem. R. Accad. sci. dell'Istituto Bologna (4) 9 (1888), 345-367.
E. Beltrami, "On the theory of infinitely-small deformations of a medium," C. R. Acad. Sci. 108 (1889), 502-505.
M. Gebbia, "Fundamental propositions in the statics of elastic bodies," Rend. del Circ. mat. di Palermo (1) 5 (1891), 320-323.
G. Morera, "General solution of the indefinite equations of equilibrium in a continuous body," Rend. R. Accad. dei Lincei, Classe sci. fis., mat. e nat. (5) 1 (1892), 137-141.
E. Beltrami, "Observation on the preceding note," Rend. Real. Accad. Lincei, Classe di sci. fis., mat. e nat. (5) 1 (1892), 141-142.
W. Voigt, "Theoretical studies in the elastic behavior of crystals, I" Abh. d. Kon. Ges. d. Wiss. Gottingen (1892), 3-52.
H. Poincare, Theory of Vortices, Georges Carre, Paris, 1893.
E. Cesaro, Introduction to the Mathematical Theory of Elasticity, Bocca Brothers, Turin, 1894.
J. R. Schutz, "On the creation of vorticial motions in ideal fluids by conservative forces," Ann. Phys. (Leipzig) 56 (1895), 144-147.
L. Silberstein, "On the creation of vortex motions in a frictionless fluid," Bull. Int. de l’Acad. des sci. de Cracovie (1896), 280-290.
E. Cesaro, "On the equilibrium of flexible, inextensible strings," from Lezioni di geometria intrinseca, from the author-publisher, Naples, 1896.
E. Cesaro, "On the equations of elasticity in hypersurface," from Lezioni di geometria intrinseca, from the author-publisher, Naples, 1896.
A. Foppl, The Geometry of Vortex fields, Teubner, Leipzig, 1897.
G. Kirchhoff, Lecture 26, (The dynamics of viscous fluids), from Vorlesungen uber mathematische Physik, v. I: Mechanik, Teubner, Leipzig, 1897.
G. Kirchhoff, Lecture 28, (Finite deformations of thin rods), from Vorlesungen uber mathematische Physik, v. I: Mechanik, Teubner, Leipzig, 1897.
G. Kirchhoff, Lecture 29, (InfInitesimal deformations of thin rods), from Vorlesungen uber mathematische Physik, v. I: Mechanik, Teubner, Leipzig, 1897.
G. Kirchhoff, Lecture 30, (Deformations of plates), from Vorlesungen uber mathematische Physik, v. I: Mechanik, Teubner, Leipzig, 1897.
E. Almansi, "On the deformation of the elastic sphere," Mem. Reale accad. Sci. di Torino (2) 47 (1897), 103-125.
V. Bjerknes, "A Fundamental Theorem of Hydrodynamics and its Applications, Especially to the Mechanics of the Atomsphere and Oceans," Kungl. Svenska vetenskapsakademiens Handligar 31 (1898), 1-35.
V. Bjerknes, "On the formation of circulatory motions and vortices in frictionless fluids," Skrifter udvigne af Vidensabsselkabet i Christiania, Mathematisk-naturvidenskabelig Klasse, (1898), 1-29.
I. Fredholm, "On the equations of equilibrium of a solid, elastic body," Acta Mathematica 23 (1898), 1-42.
W. Voigt, "The present state of our knowledge in the elasticity of crystals," Rapports presentes au congres international de physique, t. I, Gauthier-Villars, Paris, 1900; 277-362.
A. Brill, Lectures on the Introduction of Space-filling Masses into Continuum Mechanics, Teubner, Leipzig, 1900.
Part I, Part II.
V. Bjerknes, "The dynamical principle for circulatory motions in the atmosphere," Meteor. Zeit. 17 (1900), 97-106.
M. Jouguet," The vortex theorem in thermodynamics," J. math. pures et appl. 7 (1901), 235-257.
G. Weingarten, “On the surface of discontinuity in the theory of elasticity for solid bodies,” Rend. Reale Accad. dei Lincei, classe di sci., fis., mat., e nat., ser. 5 v. 10.1 (1901), 57-60.
M. Combebiac, "On the general equations of elasticity," Bull. Soc. math. Fr. 30 (1902), 108-110, 242-247.
V. Bjerknes, "Circulation relative to the Earth," Meteorol. Zeit. 19 (1902), 97-108.
V. Bjerknes, "On the formation of vortices in frictionless fluids, with application to the analogy between hydrodynamic phenomena and electrostatic ones," Arkiv för Matematisk, Astronomi och Fysik 1 (1903), 225-250.
M. Gebbia, "The typical deformations of elastic solid bodies," Ann. di. mat. (3) 10 (1904), 157-200.
L. Maurer, "On the deformation of curved elastic plates," Archiv d. Math. u. Phys. (3) 6 (1904), 1-25, 260-283.
E. Cesaro, "On VOLTERRA's formulas, which are fundamental in the theory of elastic distortions," Rend. Accad. delle sci. fis. Napoli 45 (1906), 311-321.
V. Volterra, "On the equilibrium of multiply-connected elastic bodies," Ann. Ec. Norm. Sup. (3) 24 (1907), 401-517.
H. Minkowski, "Capillarity," Encykl. d. math. Wiss. V, pt. 1, 1907, pp. 558-613.
E. Almansi, "On a particular class of deformations with polydromic displacements of cylindrical shells," Rend. Accad. dei Lincei (5) 16 (1907), 26-33.
G. A. Maggi, "On discontinuous, elastic displacements," Rend. Reale Accad. dei Lincei (5) 17 (1908), 571-576.
O. M. Corbino, "The tensions that are created in an elastic body by Volterra distortions and the consequent accidental double refraction," Rend. Reale Accad. dei Lincei (5) 18 (1909), 437-444.
E. Cosserat and F. Cosserat, Theory of deformable bodies, Hermann, Paris, 1909. (In two files: Chap. I-III, Chap. IV-VI)
E. and F. Cosserat, "Note on the theory of Euclidian action," excerpted from P. Appell, Traite de la mecanique rationelle, t. III, Gauthier-VIllars, Paris, 1910.
F. Klein, "On the formation of vortices in frictionless fluids," Zeit. Math. Phys. 58 (1910).
G. Herglotz, “On the mechanics of deformable bodies from the standpoint of relativity theory,” Ann. Phys. (Leipzig) (1911), 493-533.
J. Le Roux, " The angular deformations of continuous media," Travaux scientifiques de l'Universite de Rennes 10 (1911), 162-169.
J. Le Roux, "Research into the geometry of finite deformations," Ann. sci. de l'E.N.S. (3) 30 (1913), 193-245.
R. von Mises, "Mechanics of solid bodies in the plastically-deformable state," Nachr. d. Kgl. Ges. Wiss. Gottingen - Math.phys. Klasse 4 (1913), 583-592.
H. Weyl, "The asymptotic distribution law for the eigen-oscillations of an elastic body of arbitrary form," Rend. Circ. Mat. Palermo 34 (1914), 1-49.
C. Somigliana, “On the theory of elastic distortions,” Rend. Accad. Lincei 23 (1914), 463-472.
O. Domke, "On variational principles in the theory of elasticity, with applications to engineering statics," Zeit. Math. Phys. 63 (1915), 174-192.
G. Armanni, “On the finite deformation of isotropic elastic solids,” Nuovo Cim., ser. 10 (1915), 427-447.
G. Colonetti, “On a reciprocity between deformation and distortions,” Rend. Accad. dei Lincei 24 (1915), 404-408.
C. Somigliana, "On the discontinuities in elastic potentials," Atti Reale Accad. scienze di Torino 51 (1915-16), 874-896.
G. Prange, The Extremum of Deformation Work, ed. Klaus Knothe, Institut fur Geschichte der Naturwissenschaften, Munich, 1999. (Habilitation in 1916)
E. Almansi, "The theory of distortions and the finite deformation of elastic solids," Rend. R. Acc. dei Lincei (5) 25 (1916), 191-192.
E. Almansi, "The ordinary theory of elasticity and the theory of finite deformations," Rend. R. Acc. dei Lincei (5) 26 (1917), 3-8.
G. A. Maggi, "Statement and solution of some questions related to the theory of elastic distortions," Rend. R. Acc. dei Lincei (5) 26 (1917), 350-357.
G. Colonetti, "On certain states of elastic co-action that do not depend upon external actions," Rend. Accad. dei Lincei (5) 26 (1917), 43-47.
G. Colonetti, "On a particular class of elastic coaction that one encounters in the study of the resistance of artillery," Rend. R. Accad. dei Lincei, Cl. sci. fis, mat. e nat. (5) 37 (1918), 112-117.
G. Albenga, "On the problem of elastic coactions," Atti R. Accad. sci. di Torino 54 (1918-19), 414-418.
A. Palatini, "On the mechanics of rods," Ann. pura appl. (3) 28 (1919), 41-74.
B. de Fontviolant, Modern Methods in the Resistance of Materials, Gauthier-Villars, Paris, 1920.
L. Lichtenstein, "Remarks on the principle of virtual displacements in the hydrodynamics of incompressible fluids," Ann. soc. pol. de math. 3 (1924), 20-28.
H. Reissner, "Proper stresses and proper stress sources," Zeit f. Math. u. Mech. 11 (1931), 1-8.
P. Nemenyi, "A new method for singularities in the theory of elasticity," Zeit. f. angew. Math. und Mech. 11 (1931), 488-490.
P. Neményi, “Self-stresses in elastic structures,” Zeit. f. angew. Math. Phys. 11 (1931), 59-70.
A. Wundheiler, "Conditions on a flexible, inextensible surface," C. R. Acad. Sci. Paris 193 (1931), 1051-1053.
K. Kreuzer, "The stability of the compressed rod," ZAMM 12 (1932), 351-368.
E. Trefftz, "On the stability of elastic equilibrium," ZAMM 13 (1933), 160-165.
A. Buhl, “Gravity, groups, and mechanics,” Chronicle des math. sci., v. LXII, Gauthier-Villars, Paris, 1934.
H. Neuber," A new Ansatz for the solution of spatial problems in the theory of elasticity. The hollow cone under an isolated load as an example," Zeit. angew. Math. Mech. 14 (1934), 203-212.
J. Sudria, "The Euclidian action of deformation and motion," Mem. des Sci. phys., fasc. 24, Gauthier-Villars, Paris,1935.
A. Schleusner, "The principle of virtual displacements and the variational principles of the theory of elasticity," Der Stahlau 11 (1938), 185-192.
K. Marguerre, "On the treatment of stability problems with the help of energetic methods," ZAMM 18 (1938), 57-73.
A. Lichnerowicz, "On the integral invariant of relativistic hydrodynamics," Ann. Sci. de l’E.N.S. (3) 58 (1941), 285-304.
J. Kravtchenko, "On a minimum principle in the hydrodynamics of viscous fluids," C. R. Acad. Sci. Paris 213 (1941), 977-981.
H. Neuber, "The basic equations of elastic stability in general coordinates and their integration," Zeit. angew. Math. Mech. 23 (1943), 321-330.
C. Weber, "Stress functions of the three-dimensional continuum," Zeit. angew. Math. Mech. 28 (1948), 193-197.
R. Gerber, "On the reduction of the equations of motion of a viscous, incompressible fluid to a variational principle," Ann. Inst. Fourier 1 (1949), 157-162.
O. Costa de Beauregard, The Special Theory of Relativity, Masson and Co., Paris, 1949.
C. Moller, "On the dynamics of systems that have internal angular momentum," Ann. Inst. Henri Poincare 2 (1949), 251-278.
G. Leibfried and K. Lucke, "On the stress field of a dislocation," Zeit. Phys. 126 (1949), 450-464.
F. Gallisot, "The application of second-order exterior forms to Newtonian and relativistic dynamics," Ann. Inst. Fourier 3 (1951), 277-285.
P. Dedecker, On the circulation theorem of V. Bjerknes and the theory of integral invariants, Institut royale Météorologique de Belgique, Brussells, 1951.
H. Ziegler, "The stability criteria of elastomechanics," Ingenieur-Archiv 20 (1952), 49-56.
H. Schaefer, "The stress functions of the three-dimensional continuum and elastic bodies," Zeit. angew. Math. Mech. 33 (1953), 356-362.
W. Gunther, "Stress functions and compatibility conditions in continuum mechanics," Anh. Braunschweig. Wiss. Ges. 6 (1954), 207-219.
E. Kroner, "The stress functions of three-dimensional, isotropic, elasticity theory," Zeit. Phys. 139 (1954), 175-188.
E. Kroner, "The stress functions of the three-dimensional, anisotropic, theory of elasticity," Zeit. Phys. 141 (1955), 286-398.
E. Kroner, "The fundamental connection between dislocation density and stress functions," Seit. Phys. 142 (1955), 463-475.
H. Schaeffer, "The stress functions of a dyname," Abh. Braunschweig. Wiss. Ges. 7 (1955), 107-112.
F. Halbwachs, G. Lochak, and J.-P. Vigier, "Decomposition of the energy-impulse of relativistic fluids endowed with an internal kinetic moment as a function of the dynamical variables," C. R. Acad. Sci. 241 (1955), 692-695.
F. Gallisot, “Exterior forms and the mechanics of continuous media,” Ann. Inst. Fourier 8 (1958), 291-335.
W. Günther, “On the statics and kinematics of Cosserat continua,” Abh. d. Braunsch. Wiss. Ges. 10 (1958), 195-213.
E. Kröner, “Continuum theory of dislocations and proper stresses,” Ergebnisse der angewandte Mathematik, Springer, Berlin, 1958.
U. Wegner, "A contribution to the theory of elastic stability," Ingenieur-Archiv 28 (1959), 357-359.
E. Kröner, “General continuum theory of dislocations and proper stresses,” Arch. Rat. Mech. Anal. 4 (1960), 273-334.
G. Rieder, "Topological questions in the theory of stress functions," Abh. Braunschweig. Wiss. Ges. 12 (1960), 4-65.
G. Grioli, “Asymmetric elasticity,” Ann. Math. pura ed appl. 50 (1960), 389-417.
V. Volterra and E. Volterra, "On the distortions of elastic bodies (theory and applications," Mem. des sci. math., fasc. 147, Gauthier-Villars, Paris, 1960.
W. Gunther, "Analogous systems of shell equations," Ing.-Archiv 30 (1961), 160-186.
H. G. Schöpf, “General-relativistic principles of continuum mechanics,” Ann. Phys. (Leipzig) (7) 12 (1964), 372-395.
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