Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
|
   
Mobile Device Pairing
Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Book Review

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.

Retrieve article in: PDF

Book Information

Author(s): V. D. Kupradze, T. G. Gegelia, M. O. Basheleishvili and T. V. Burchuladze
Title: Three-dimensional problems of the mathematical theory of elasticity and thermoelasticity
Additional book information: Applied Mathematics and Mechanics, vol. 25, North-Holland, 1979, xix + 929 pp., $158.50


References:

1.
T. Boggio, Nuova risolutione di un problema fondamental delta teoria dell'elasticita, Atti Reale Accademia dei Lincei 16 (1907), 248-255.
2.
J. Boussinesq, Applications des potentiels à l'Etude de l'équilibre et du mouvement des solides élastiques, Gauthier-Villars, Paris, 1885.
3.
D. E. Carleson, Linear thermoelasticity, Handbuch der Physik Bd., VIa/2, 297-345, Springer-Verlag, Berlin, 1965.
4.
E. Cosserat and F. Cosserat, Sur les équations de la théorie de l'élasticité, Comptes Rendus de l'Acad. Sci. Paris 126 (1898), 1129-1132.
5.
G. Duvaut and J. L. Lions, Les inéquations en mécanique et en physique, Dunod, Paris, 1972; English transl. by Charlotte W. John, Springer-Verlag, Berlin, 1976. MR 521262
6.
A. C. Eringen, Non-linear theory of continuous media, McGraw-Hill, New York, 1962. MR 191157
7.
G. Fichera, Sull'esistenza e sul calcolo delle soluzioni dei problemi al contorno, relativi all'equilibria di un corpo elastico, Ann. Scuola Norm. Sup. Pisa 4 (1950), 36-99. MR 42040
8.
G. Fichera, Problemi elastostatici con vincoli unilaterali: il problema die Signorini con ambiguë condizioni al contorno, Mem. Accad. Naz. Lincei 8 (1964), 91-140. MR 178631
9.
G. Fichera, Existence theorems in elasticity, Handbuch der Physik, Bd. VIa/2, 347-389, Springer-Verlag, Berlin, 1972.
10.
G. Fichera, Boundary value problems of elasticity with unilateral constraints, Handbuch der Physik, Bd. VIa/2, 391-424, Springer-Verlag, Berlin, 1972.
11.
G. Fichera, II contriburo italiano alla teoria matematica dell'elasticità, Rend Circ. Mat Palermo 28 (1979), 5-26. MR 524332
12.
I. Fredholm, Solution d'un problème fondamental de la théorie de l'elasticité, Ark. Mat. Astr. Fysik 2 (1906), 1-8.
13.
Galileo Galilei, Discorsi e dimonstrazioni matematiche, Leyden, 1638.
14.
A. E. Green and W. Zerna, Theoretical elasticity, Clarendon Press, Oxford, 1954 (2nd ed. 1968). MR 245245
15.
R. T. Gunther, Early science in Oxford, vol. 8, Clarendon Press, Oxford, 1931.
16.
M. E. Gurtin, The linear theory of elasticity, Handbuch der Physik VIa/2, 1-296, Springer-Verlag, Berlin, 1972.
17.
R. Hooke, Depotentia restitutiva, London, 1678.
18.
M. Kinoshita and T. Mura, On boundary value problems of elasticity, Research Report on the Faculty of Engineering, Meiji University 8 (1956), 56-82.
19.
R. J. Knops and L. E. Payne, Uniqueness theorems in linear elasticity, Springer-Verlag, Berlin, 1971. MR 421244
20.
A. Korn, Über die Lösung des Grundproblems der Elastizitätstheorie, Math. Ann. 75 (1914), 497-549. MR 1511808
21.
V. D. Kupradze, Potential methods in the theory of elasticity (Russian), Gos. Izdat. Fiz-Mat Lit, Moscow, 1963; English transl. by H. Gutfreund, Israel Program for Scientific Translations, Jerusalem, 1965. MR 223128
22.
G. Lauricella, Sull'integrazione delle equazioni dell'equilibrio dei corpi elastici isotropi, Atti Reale Accademia dei Lincei 15 (1906), 426-432.
23.
L. Lichtenstein, Über die erste Randwertaufgabe der Elastizitätstheorie, Math. Z. 20 (1924), 21-28. MR 1544661
24.
J. L. Lions and G. Stampacchia, Variational inequalities, Comm. Pure Appl. Math. 20 (1967), 493-519. MR 216344
25.
A. E. H. Love, A treatise on the mathematical theory of elasticity, (1st ed.), Cambridge Univ. Press, London, 1892 (4th ed. 1927).
26.
A. I. Lurie, Three-dimensional problems of elasticity, Gos. Izdat. Tech. Lit., Moscow, 1955; English transl. by D. B. McVean, Interscience Publishers, New York, 1964.
27.
S. G. Mikhlin, Multidimensional singular integrals and integral equations (Russian), Gos. Izdat. Fiz.-Mat. Lit., Moscow, 1962; English transl. by W. J. A. Whyte, Pergamon Press, Oxford, 1965. MR 185399
28.
N. I. Muskhelishvili, Fundamental problems of the mathematical theory of elasticity (Russian), 5th ed., Gos. Izdat. Fiz.-Mat. Lit., Moscow, 1966; English transl. of 2nd ed. by J. R. L. Radok, Noordhoff Int. Publ. Co., Leyden.
29.
N. I. Muskhelishvili and G. G. Chernikh, Development of mechanics in the U.S.S.R. in the last fifty years (Russian), 3rd. Cong. Theor. Appl. Mech., Moscow, 1968.
30.
I. N. Sneddon, Fourier transforms, Chapter 10, McGraw-Hill, New York, 1951. MR 41963
31.
I. N. Sneddon, The use of transform methods in elasticity, vol. 1, 1964; vol. 2, 1965, N.C. State University, Math. Dept.
32.
I. N. Sneddon (ed.), Applications of integral transforms in the theory of elasticity, CISM Courses and Lectures No. 220, Springer-Verlag, Wien, 1977. MR 502667
33.
I. Todhunter and K. Pearson, A history of the theory of elasticity and of the strength of materials, vol. 1, 1886; vol. 2, 1893, Cambridge Univ. Press, London.
34.
C. Truesdell and W. Noll, The non-linear field theories of mechanics, Handbuch der Physik Bd. III/3, pp. 1-602, Springer-Verlag, Berlin, 1965. MR 193816
35.
C. Truesdell and R. Toupin, The classical field theories. With an Appendix on tensor fields, by J. L. Ericksen, Handbuch der Physik, Bd. III/l, pp. 226-793; appendix, pp. 794-858, Springer-Verlag, Berlin and New York, 1960. MR 118005
36.
Ya S. Uflyand, Integral transforms in the theory of elasticity (Russian) Akad. Nauk. Izdat., Leningrad, 1963.
37.
P. Villaggio, Qualitative methods in elasticity, Noordhoff Int. Publ. Co., Leyden, 1977. MR 502510
38.
C. C. Wang and C. Truesdell, Introduction to rational elasticity, Noordhoff Int. Publ. Co., Leyden, 1973. MR 468442
39.
C. C. Weyl, Das asymptotische Verteilungsgesetz der Eigenschwingungen eines beliebig gestalteten elastischen Körpers, Rend. Circ. Mat. Palermo 39 (1915), 1-49.


Additional Information:

Reviewer(s):
Ian N. Sneddon

Review Information:
Journal: Bull. Amer. Math. Soc. 3 (1980), 870-878.
DOI: 10.1090/S0273-0979-1980-14835-1
PII: S 0273-0979(1980)14835-1




AMS and Social Media LinkedIn Facebook Podcasts Twitter YouTube RSS Feeds Blogs Wikipedia