DOI: 10.1007/bf00298012. Exact theory of stress and strain in rods and shells

Exact theory of stress and strain in rods and shells

10.1007/bf00298012

Crossref journal-article

Springer Science and Business Media LLC

Archive for Rational Mechanics and Analysis (297)

Bibliography

Ericksen, J. L., & Truesdell, C. (1957). Exact theory of stress and strain in rods and shells. Archive for Rational Mechanics and Analysis, 1(1), 295â323.

Authors 2

J. L. Ericksen (first)
C. Truesdell (additional)

References 32 Referenced 374

1771 Euler, L.: Genuina principia doctrinae de statu aequilibrii et motu corporum tam perfecte flexibilium quam elasticorum. Novi comm. Petrop. 15, 381–413 (1770) = Opera omnia (2) 11, 37–61. / Novi comm. Petrop. by L. Euler (1771)
1843 Barré de St. Venant, A.-J.-C.: Mémoire sur le calcul de la résistance et de la flexion des pièces solides à simple ou à double courbure, en prenant simultanément en considération les divers efforts auxquels elles peuvent être soumises dans tous les sens. C. r. acad. sci. Paris 17, 942–954, 1020–1031. / C. r. acad. sci. Paris by A.-J.-C. Barré de St. Venant (1843)
1844 Binet, J.: Mémoire sur l'intégration des équations de la courbe élastique à double courbure. C. r. acad. sci. Paris 18, 1115–1119. / C. r. acad. sci. Paris by J. Binet (1844)
1845 St. Venant: Note sur l'état d'équilibre d'une verge élastique à double courbure lorsque les déplacements éprouvés par ses points, par suite de l'action des forces qui la sollicitent, ne sont pas très-petits. C. r. acad. sci. Paris 19, 36–44, 181–187. / C. r. acad. sci. Paris by St. Venant (1845)
1859 Kirchhoff, G.: Über das Gleichgewicht und die Bewegung eines unendlich dünnen elastischen Stabes. J. reine angew. Math. 56, 285–313 = Ges. Abh. 285–316. (10.1515/crll.1859.56.285) / J. reine angew. Math. by G. Kirchhoff (1859)
1862 Clebsch, A.: Theorie der Elastizität fester Körper. Leipzig.
1876 Kirchhoff: Vorlesungen über mathematische Physik: Mechanik. Leipzig: 2nd ed., 1877; 3rd ed., 1883.
1888 Love, A. E. H.: The small free vibrations and deformations of a thin elastic shell. Phil. trans. r. soc. London A 179, 491–546. (10.1098/rsta.1888.0016) / Phil. trans. r. soc. London A by A. E. H. Love (1888)
1890, 1. Lamb, H.: On the deformation of an elastic shell. Proc. London math. soc. 21, 119–146. / Proc. London math. soc. by H. Lamb (1890)
1890, 2. Bassett, A. B.: On the extension and flexure of cylindrical and spherical thin elastic shells. Phil. trans. r. soc. London A 181, 433–480. (10.1098/rsta.1890.0007) / Phil. trans. r. soc. London A by A. B. Bassett (1890)
1893, 1. Duhem, P.: Le potentiel thermodynamique et la pression hydrostatique. Ann. école norm. (3) 10, 187. / Ann. école norm. by P. Duhem (1893)
1893, 2. Love: A treatise on the mathematical theory of elasticity 2, Cambridge.
1895 Basset: On the deformation of thin elastic wires. Am. J. Math. 17, 281–317. (10.2307/2369638) / Am. J. Math. by Basset (1895)
1906 Love: 2nd ed. of [1893, 2].
1907 Cosserat, E. & Cosserat, F.: Sur la mécanique générale. C. r. acad. sci. Paris 145, 1139–1142. / C. r. acad. sci. Paris by E. Cosserat (1907)
1908 Cosserat, E. & Cosserat, F.: Sur la théorie des corps minces. C. r. acad. sci. Paris 146, 169–172. / C. r. acad. sci. Paris by E. Cosserat (1908)
1909 Cosserat, E. & F.: Théorie des corps déformables, Paris = Appendix, pp. 953–1173, of Chwolson's Traité de Physique, 2nd ed., Paris 1909.
1913 Heun, K.: Ansätze und allgemeine Methoden der Systemmechanik. Enz. math. Wiss. 4 2 (1904–1935), art. 11. / Enz. math. Wiss. by K. Heun (1913)
1935 Sudria, J.: L'action éuclidéenne de déformation et de mouvement. Mém. sci. phys., Paris, No. 29, 56pp.
1940 Eisenhart, L. P.: An introduction to differential geometry with the use of the tensor calculus. Princeton Univ. Press.
1941 Synge, J. L. & W. Z. Chien: The intrinsic theory of elastic shells and plates. Kármán anniv. vol., Pasadena, 103–120.
1942 Hay, G. E.: The finite displacement of thin rods. Trans. Am. math. soc. 51, 65–102. (10.1090/S0002-9947-1942-0006318-7) / Trans. Am. math. soc. by G. E. Hay (1942)
1943, 1. Novozhilov, V.: On an error in a hypothesis of the theory of shells. C. r. acad. sci. SSSR (Doklady) (N. S.) 38, 160–164. / C. r. acad. sci. SSSR (Doklady) (N. S.) by V. Novozhilov (1943)
1943, 2. Новожилов; В. и Р. Финкельштейн: О Погрешности гипотез кирхгофа в теорийоболочек, Прикл. мат. мех. 7, 331–340.
1944 Chien: The intrinsic theory of thin shells and plates. Part I, General theory. Q. appl. math. 1, 297–327. (10.1090/qam/9744) / Q. appl. math. by Chien (1944)
1945 Truesdell, C.: The membrane theory of shells of revolution. Trans. Am. math. soc. 58, 96–166. (10.1090/S0002-9947-1945-0014024-0) / Trans. Am. math. soc. by C. Truesdell (1945)
1948 Chien: Derivation of the equations of equilibrium of an elastic shell from the general theory of elasticity. Sci. rep. Tsing-Hua univ. A 5, 240–251. / Sci. rep. Tsing-Hua univ. A by Chien (1948)
1949 Zerna, W.: Beitrag zur allgemeinen Schalenbiegetheorie. Ing.-Arch. 17, 149–164. (10.1007/BF00571971) / Ing.-Arch. by W. Zerna (1949)
1950 Green, A. E. & W. Zerna: The equilibrium of thin elastic shells. Q. j. mech. appl. math. 3, 9–22. (10.1093/qjmam/3.1.9) / Q. j. mech. appl. math. by A. E. Green (1950)
1952 Truesdell: The mechanical foundations of elasticity and fluid dynamics. J. rat. mech. anal. 1, 125–300; 2, 593–616 (1953). / J. rat. mech. anal. by Truesdell (1952)
1954, 1. Ericksen, J. L. & R. S. Rivlin: Large deformations of homogeneous anisotropic materials. J. rat. mech. anal. 3, 281–301. / J. rat. mech. anal. by J. L. Ericksen (1954)
1954 2. Green & Zerna: Theoretical elasticity. Oxford: Clarendon Press. / Theoretical elasticity by Green (1954)

Dates

Type	When
Created	16 years, 5 months ago (March 5, 2009, 9:56 a.m.)
Deposited	6 years, 4 months ago (April 8, 2019, 12:13 p.m.)
Indexed	1 week ago (Aug. 26, 2025, 2:49 a.m.)
Issued	68 years, 8 months ago (Jan. 1, 1957)
Published	68 years, 8 months ago (Jan. 1, 1957)
Published Print	68 years, 8 months ago (Jan. 1, 1957)

Funders 0

None

BibTeX

@article{Ericksen_1957, title={Exact theory of stress and strain in rods and shells}, volume={1}, ISSN={1432-0673}, url={http://dx.doi.org/10.1007/bf00298012}, DOI={10.1007/bf00298012}, number={1}, journal={Archive for Rational Mechanics and Analysis}, publisher={Springer Science and Business Media LLC}, author={Ericksen, J. L. and Truesdell, C.}, year={1957}, month=jan, pages={295–323} }

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    "BF00298012"
  ],
  "URL": "http://dx.doi.org/10.1007/BF00298012",
  "relation": {},
  "ISSN": [
    "0003-9527",
    "1432-0673"
  ],
  "subject": [],
  "container-title-short": "Arch. Rational Mech. Anal.",
  "published": {
    "date-parts": [
      [
        1957,
        1
      ]
    ]
  }
}