References
- Sapondzhyan , OM . 1952 . Bending of a simply supported polygonal plate . Akad. Nauk Armyan. SSR. Izv. Fiz.-Mat. Estest. Tehn. Nauki , 5 : 29 – 46 .
- Babuška , I . 1961 . Stability of a domain of definition with respect to a boundary perturbation, of basic problems of theory of partial differential equations, mainly in accordance with elasticity theory, (Stabilität des definitionsgebietes mit rücksicht auf grundlegende probleme der theorie der partiellen differentialgleichungen auch im zusammenhang mit der elastizitätstheorie. I, II. . (Russian) Czechoslovak Math. J. , 11 : 76 – 105 . 165–203. (Reviewer: A. Friedman, Ref number: MR0125326 (23 #A2629))
- Sapondzhyan , OM . 1975 . Bending of Thin Elastic Plates , Erevan : Ayastan .
- Babuška , I and Pitkaranta , J . 1990 . The plate paradox for hard and soft simple support . SIAM J. Math. Anal. , 21 : 551 – 576 .
- Nazarov , SA and Olyushin , MV . 1997 . Approximation of smooth contours by polygonal ones. Paradoxes in problems for the Lame system . (Russian) Izv. Ross. Akad. Nauk Ser. Mat. , 61 : 159 – 186 . translation in Izv. Math. 61 (1997): pp. 619–646
- Nazarov , SA and Chechkin , GA . Approximation of thin plates with smooth lateral boundary by polyhedral. Paradoxes of the limit pasage . Research report, Department of Mathematics, Moscow State University
- Maz'ya , VG and Nazarov , SA . 1986 . Paradoxes of the passage to the limit in solutions of boundary value problems for the approximation of smooth domains by polygons . (Russian), Izv. Akad. Nauk SSSR Ser. Mat. , 50 : 1156 – 1177 . p. 1343
- Maz'ya , VG , Nazarov , SA and Plamenevskij , BA . 2000 . “ Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. I; II. ” . In in Operator Theory: Advances and Applications , Vol. 111 , Basel : Birkhauser Verlag . xxiv+435 pp. ISBN: 3-7643-6397-5; Vol. 112. Birkhauser Verlag, Basel, 2000. xxiv+323 pp. ISBN: 3-7643-6398-3
- Kirchhoff , G . 1850 . Über das gleichgewicht und die bewegung einer elastischen scheibe . J. Reine Angew. Math. , 40 : 55 – 88 .
- Reissner , E . 1944 . On the theory of bending of elastic plates . J. Math. Phys. , 23 : 184 – 191 .
- Reissner , E . 1947 . On bending of elastic plates . Quart. Appl. Math. , 5 : 55 – 68 .
- Reissner , E . 1985 . Reflections on the theory of elastic plates . Appl. Mech. Rev. , 38 : 1453 – 1464 .
- Timoshenko , SP and Goodier , JN . 1987 . Theory of Elasticity , 3 , New York : McGraw-Hill .
- Muskhelishvili , NI . 1975 . Some Basic Problems of the Mathematical Theory of Elasticity , 2 nd , Leiden, , The Netherlands : Noordhoff .