Evolution of the theory of laminated plates and shells

International Applied Mechanics

Volumn 38, Issue 2, 2002, Pages 135-166

  Piskunov, V G ^a   Rasskazov, A O ^a  

^a NATIONAL TRANSPORT UNIVERSITY   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

CONSTRUCTION; FINITE ELEMENT METHOD; LAMINATES; SHELLS (STRUCTURES);

LAYERED SYSTEMS;

PLATES (STRUCTURAL COMPONENTS);

EID: 0036095770     PISSN: 10637095     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1015756726070     Document Type: Article

References (180)

1. A. Ya. Aleksandrov, I. Ya. Borodin, and V. V. Pavlov, Structures with Polyfoam Fillers [in Russian], Mashinostroenie, Moscow (1972).
2. A. Ya. Aleksandrov, L. É. Bryukker, and L. M. Kurshin, Design of Sandwich Panels [in Russian], Oborongiz, Moscow (1960).
3. A. Ya. Aleksandrov and L. M. Kurshin, "Multilayered plates and shells," in: Proc. 7th All-Union Conf. on Theory of Shells and Plates [in Russian], Nauka, Moscow (1970), pp. 714-721.
4. Kh. Yu. Al'tenbakh, "The basic divisions of the theory of multilayered thin-walled structures (review)," Mekh. Komp. Mater., 34, No. 3, 333-348 (1998).
5. S. A. Ambartsumyan, "Some basic equations of the theory of thin laminated shells," Dokl. AN Arm. SSR, 8, No. 5, 203-210 (1948).
6. S. A. Ambartsumyan, "Some aspects of the development of the theory of anisotropic laminated shells," Izv. AN Arm. SSR, Ser. Fiz.-Mat. Nauk, 17, No. 3, 29-53 (1964).
7. S. A. Ambartsumyan, The General Theory of Anisotropic Shells [in Russian], Nauka, Moscow (1974).
8. S. A. Ambartsumyan, The Theory of Anisotropic Plates [in Russian], Nauka, Moscow (1987).
9. A. N. Andreev and V. V. Nemirovskii, "On one variant of the theory of elastic multilayered anisotropic plates," Prikl. Mekh., 14, No. 7, 55-62 (1978).
10. J. H. Argyris and D. W. Scharpf, "The theory of finite-element design of plates and shells with transverse shear strains," in: Proc. IUTAM Symp. on High Speed Computing of Elastic Structures (Liége, Belgium, August 23-28, 1970), Vol. 1, Université de Liege (1971).
11. A. V. Babkov, "Study of laminated orthotropic shells of revolution made of viscoelastic thermorheologically complex materials," Prikl. Mekh., 34, No. 8, 82-90 (1998).
12. L. V. Baev and P. P. Chulkov, "Designing laminated plates revisited," Mekh. Polim., No. 6, 11-18 (1969).
13. V. A. Bazhenov, E. A. Gotsulyak, A. I. Ogloblya et al., Designing Composite Structures with Stratifications [in Russian], Budivel'nyk, Kiev (1992).
14. V. A. Bazhenov, A. S. Sakharov, A. V. Gondlyakh, and S. L. Mel'nikov, Nonlinear Problems of the Mechanics of Multilayered Shells [in Russian], NDI Budmekhanika, Kiev (1994).
15. V. N. Bakulin and A. A. Rassokha, The Finite-Element Method and Hologram Interferometry in the Mechanics of Composites [in Russian], Mashinostroenie, Moscow (1987).
16. V. N. Barsukov, The General Theory of Flat Multilayered Shells of Irregular Structure with Compressible Fillers [in Russian], Manuscript No. 2794 deposited at VINITI 02.14.75, Kiev (1975).
17. G. Bartelds and H. Ottens, "Finite-element analysis of laminated panels," in: Proc. IUTAM Symp. on High Speed Computing of Elastic Structures (Liége, Belgium, August 23-28, 1970), Vol. 1, Université de Liége (1971).
18. A. E. Bogdanovich, Nonlinear Dynamic Problems for Cylindrical Composite Shells [in Russian], Zinatne, Riga (1987).
19. V. V. Bolotin, "The theory of laminated plates revisited," Izv. AN SSSR, Otd. Tekhn. Nauk, Mekh. Mashinostr., No. 3, 65-72 (1963).
20. V. V. Bolotin and Yu. N. Novichkov, Mechanics of Multilayered Structures [in Russian], Mashinostroenie, Moscow (1980).
21. A. G. Bondar' and A. O. Rasskazov, "Bending analysis of multilayered plates by a refined theory," Prikl. Mekh., 18, No. 12, 69-72 (1982).
22. L. E. Bryukker, "Some simplifications of the bending equations for sandwich plates," in: Design of Airframe Elements [in Russian], Issue 3, Mashinostroenie, Moscow (1965), pp. 74-99.
23. P. M. Varvak, I. M. Buzun, A. S. Gorodetskii et al., Finite-Element Method [in Russian], Vyshcha Shkola, Kiev (1981).
24. A. T. Vasilenko, "The stress state of orthotropic laminated thick-walled shallow shells," Dop. AN USSR, No. 6, 513-517 (1975).
25. A. T. Vasilenko and Ya. M. Grigorenko, "Stress analysis of anisotropic shells in various formulations," Prikl. Mekh., 21, No. 4, 4-7 (1985).
26. A. T. Vasilenko, Ya. M. Grigorenko, and N. D. Pankratova, "The stress state of transversally isotropic inhomogeneous thick-walled spherical shells," Dokl. AN SSSR, Mekh. Tverd. Tela, No. 1, 59-66 (1976).
27. V. V. Vasil'ev, Mechanics of Composite Structures [in Russian], Mashinostroenie, Moscow (1988).
28. I. N. Vekua, "On one design technique for prismatic shells," in: Tr. Tbilisskogo Mat. Inst., 21, 191-195 (1955).
29. V. E. Verizhenko, "Theory of nonlinearly elastic laminated shells with transverse shear strains," Prikl. Mekh., 20, No. 9, 123-127 (1984).
30. V. E. Verizhenko, V. G. Piskunov, V. K. Prisyazhnyuk, and P. Ya. Tabakov, "A refined dynamic theory of multilayered shells and plates," Probl. Prochn., "Report 1. The initial hypotheses and relations," No. 5, 91-99, "Report 2. System of resolving equations and results," No. 6, 61-69, (1996).
31. V. E. Verizhenko, V. K. Prisyazhnyuk, and S. G. Burygin, "A refined model of a laminated composite shell for solution of a contact elastoplastic problem," Mekh. Komp. Mater., No. 4, 672-677 (1986).
32. B. F. Vlasov, "On one case of bending of a rectangular thick plate," Vestn. MGU, No. 2, 25-34 (1957).
33. V. Z. Vlasov, General Shell Theory and Its Engineering Applications (Selected Works) [in Russian], Vol. 1, Izd. AN SSSR, Moscow (1962).
34. V. Z. Vlasov and N. N. Leont'ev, Beams, Plates, and Shells on an Elastic Base [in Russian], Gosfizmatlit, Moscow (1960).
35. A. S. Vol'mir, Stability of Elastic Systems [in Russian], Gostekhizdat, Moscow (1963).
36. I. I. Vorovich, "Some mathematical issues of the theory of plates and shells," in: Proc. 2nd All-Union Congr. on Solids Mechanics, Issue 3, Nauka, Moscow (1965), pp. 116-136.
37. B. G. Galerkin, Collected Works [in Russian], Vol. 1, Izd. AN SSSR, Moscow (1952), pp. 347-362.
38. M. D. Galileev, "A multilayered anisotropic plate on an elastic base," Izv. Vuzov, Stroit. Arkhitekt., No. 2, 31-37 (1973).
39. A. K. Galin'sh, "Refined designing of plates and shells," in: Research in the Theory of Plates and Shells [in Russian], Izd. Kazanskogo Univ., Kazan, Issue 5 (1967), pp. 66-92, Issues 6 and 7 (1967), pp. 23-63.
40. A. L. Gol'denveizer, "On Reissner's theory of bending of plates," Izv. AN SSSR, Old. Tekhn. Nauk, No. 4, 102-109 (1958).
41. A. L. Gol'denveizer, "Construction of an approximate shell theory through asymptotic integration of the elastic equations," Prikl. Mat. Mekh., 26, No. 4, 668-686 (1962).
42. A. V. Gondlyakh, "Iterative analytical theory of deformation of multilayered shells," in: Strength of Materials and Structural Theory [in Russian], Issue 53, Budivel'nyk, Kiev (1988), pp. 33-37.
43. O. V. Gorik, "A nonclassical iterative model of the stress-strain state of composite beams," Dop. NANU, No. 10, 45-53 (1999).
44. É. I. Grigolyuk, "The equations of sandwich shells with a light filler," Izv. AN SSSR, Otd. Tekhn. Nauk, No. 1, 26-34 (1958).
45. É. I. Grigolyuk and F. A. Kogan, "The present status of the theory of multilayered shells," Prikl. Mekh., 8, No. 6, 3-17 (1972).
46. É. I. Grigolyuk and G. M. Kulikov, Multilayered Reinforced Shells. Pneumatic Design [in Russian], Mashinostroenie, Moscow (1988).
47. É. I. Grigolyuk and I. T. Selezov, "A nonclassical theory of vibrations of rods, plates, and shells," in: Advances in Science and Engineering [in Russian], Vol. 5, Nauka, Moscow (1972).
48. É. I. Grigolyuk and P. P. Chulkov, "Designing sandwich plates with a rigid filler," Izv. AN SSSR, Otd. Tekhn. Nauk, No. 1, 77-84 (1957).
49. É. I. Grigolyuk and P. P. Chulkov, "The nonlinear equations of multilayered shallow shells of regular structure," Dokl. AN SSSR, Mekh. Tverd. Tela, No. 1, 163-169 (1967).
50. É. I. Grigolyuk and P. P. Chulkov, Stability and Vibrations of Sandwich Shells [in Russian], Mashinostroenie, Moscow (1973).
51. Ya. M. Grigorenko, Isotropic and Anisotropic Laminated Shells of Revolution of Variable Rigidity [in Russian], Naukova Dumka, Kiev (1973).
52. Ya. M. Grigorenko and A. T. Vasilenko, "Allowing for the thickness heterogeneity of transverse shear strains in laminated shells," Prikl. Mekh., 13, No. 10, 36-42 (1977).
53. Ya. M. Grigorenko and A. T. Vasilenko, Theory of Shells of Variable Rigidity, Vol. 4 of the five-volume series Methods of Shell Design [in Russian], Naukova Dumka, Kiev (1981).
54. Ya. M. Grigorenko and A. T. Vasilenko, Static Problems of Anisotropic Inhomogeneous Shells [in Russian], Nauka, Moscow (1992).
55. Ya. M. Grigorenko, A. T. Vasilenko, and G. P. Golub, Statics of Anisotropic Shells with Finite Shear Rigidity [in Russian], Naukova Dumka, Kiev (1987).
56. Ya. M. Grigorenko, A. T. Vasilenko, and N. D. Pankratova, Statics of Anisotropic Thick-Walled Shells [in Russian], Vyshcha Shkola, Kiev (1985).
57. Ya. M. Grigorenko and S. S. Kokoshin, "Mixed FEM stress-strain analysis of laminated anisotropic shells," Prikl. Meta., 18, No. 2, 3-6 (1982).
58. Ya. M. Grigorenko and N. N. Kryukov, Numerical Solution of Static Problems for Flexible Laminated Shells with Variable Parameters [in Russian], Naukova Dumka, Kiev (1988).
59. A. N. Guz, Stability of Three-Dimensional Deformable Bodies [in Russian], Naukova Dumka, Kiev (1971).
60. A. N. Guz, I. Yu. Babich, B. L. Pelekh, and G. A. Teters, "On the application domain of applied theories in stability problems for uniaxially compressed rods and plates with low shear rigidity," Mekh. Polim., No. 6, 1124-1126 (1969).
61. A. N. Guz, Ya. M. Grigorenko, I. Yu. Babich et al., Mechanics of Structural Elements, Vol. 2 of the three-volume series Mechanics of Composites and Structural Elements [in Russian], Naukova Dumka, Kiev (1983).
62. A. N. Guz, "On an approximate method for determination of the stress concentration near curvilinear openings in shells," Prikl. Mekh., 8, No. 6, 605-612 (1962).
63. V. I. Gulyaev, "Application of Vekua's theory to the solution of nonclassical problems of shell theory," in: Proc. 1st All-Union School on Theoretical and Numerical Design Methods for Shells and Plates [in Russian], Tbilisi (1975), pp. 321-351.
64. V. I. Gulyaev, V. A. Bazhenov, and P. P. Lizunov, Nonclassical Shell Theory and Its Engineering Applications [in Russian], Izd. L'vovskogo Univ., L'vov (1978).
65. A. G. Gurtovoi, "High-accuracy modeling of the deformation of laminated structures," Mekh. Komp. Mater., 35, No. 1, 13-28 (1999).
66. O. N. Demchuk, "Comparison of approximate refined and exact three-dimensional solutions of the thermoelastic problem for laminated anisotropic plates," Mekh. Komp. Mater., 31, No. 2, 216-226 (1995).
67. A. A. Dudchenko, S. A. Lurie, and I. F. Obraztsov, "Anisotropic multilayered plates and shells," VINITI, Itogi Nauki Tekhn., Ser. Mekh. Tverd. Deform. Tela, 15, 3-68 (1983).
68. S. Yu. Eremenko, Natural Vibrations and Dynamics of Composites and Structures [in Russian], Naukova Dumka, Kiev (1992).
69. S. N. Kan and Yu. I. Kaplan, "Designing inhomogeneous cylindrical shells with transverse shear and pressure of the fibers," Prikl. Mekh., 15, No. 1, 34-42 (1979).
70. B. Ya. Kantor, Nonlinear Problems of the Theory of Inhomogeneous Shallow Shells [in Russian], Naukova Dumka, Kiev (1971).
71. B. Ya. Kantor, "The continuous approach to the analysis of shells consisting of many unsoldered layers," Dokl. AN USSR, Ser. A, No. 10, 30-33 (1984).
72. B. Ya. Kantor, Contact Problems of the Nonlinear Theory of Shells of Revolution [in Russian], Naukova Dumka, Kiev (1990).
73. N. A. Kil'chevskii, Fundamentals of the Analytical Mechanics of Shells [in Russian], Izd. AN USSR, Kiev (1972).
74. V. N. Kobelev, L. M. Kovarskii, and S. I. Timofeev, Designing Sandwich Structures [in Russian], Mashinostroenie, Moscow (1984).
75. V. I. Korolev, Laminated Anisotropic Plates and Shells Made of Reinforced Plastic [in Russian], Mashinostroenie, Moscow (1965).
76. V. I. Korolev, Elastoplastic Deformations of Shells [in Russian], Mashinostroenie, Moscow (1971).
77. L. M. Kurshin, "Review of studies on sandwich plates and shells," in: Designing Spatial Structures [in Russian], Gos. Izd. Lit. Stroit. Arkhitekt. Stroit. Mater., Issue 7, (1962), pp. 163-192.
78. S. G. Lekhnitskii, Anisotropic Plates, Izd. Tekhn.-Teor. Lit., Moscow (1957).
79. B. M. Lisitsyn, "On one method for solution of elastic problems," Prikl. Mekh., 3, No. 4, 35-43 (1967).
80. B. M. Lisitsyn and N. M. Ruban, "On one approach to the solution of refined problems on bending of multilayered plates," in: Strength of Materials and Structural Theory [in Russian], Issue 32, Budivel'nyk, Kiev (1978), pp. 77-80.
81. A. I. Lurie, Spatial Elastic Problems [in Russian], Gostekhizdat, Moscow (1955).
82. A. K. Malmeister, V. P. Tamusz, and G. A. Teters, Strength of Polymeric and Composite Materials [in Russian], Zinatne, Riga (1980).
83. A. V. Marchuk, "Generalization of the discrete and continuous structural approaches to the mathematical model of laminated plates and bodies," Mekh. Komp. Mater., 32, No. 3, 377-387 (1996).
84. A. V. Marchuk, "Three-dimensional analytical solution for laminated plates with slipping layers," Prikl. Mekh., 33, No. 9, 10-14 (1997).
85. A. M. Guz, Mechanics of Composites [in Russian], Vols. 1-10 of the 12-volume series, Naukova Dumka, Kiev (1993-2000).
86. V. N. Moskalenko, "On natural vibrations of sandwich plates," Izv. AN SSSR, Otd. Tekhn. Nauk, Mekh. Mschinostr., No. 4, 145-149 (1962).
87. Kh. M. Mushtari, "The theory of bending of medium-thickness plates," Izv. AN SSSR, Otd. Tekhn. Nauk, Mekh. Mashinostr., No. 2, 107-113 (1959).
88. Kh. M. Mushtari and I. G. Teregulov, "The theory of medium-thickness shells revisited," Dokl. AN SSSR, 128, No. 6, 1144-1148 (1959).
89. Yu. N. Nemish, Elements of the Mechanics of Piecewise-Homogeneous Bodies with Noncanonical Interfaces [in Russian], Naukova Dumka, Kiev (1989).
90. Yu. N. Nemish, "Development of analytical methods in three-dimensional problems of the statics of anisotropic bodies," Int. Appl. Mech., 36, No. 2, 135-173 (2000).
91. V. S. Nikishin and G. S. Shapiro, Elastic Problems for Multilayered Media [in Russian], Nauka, Moscow (1973).
92. É. S. Osternik, "Anisotropic laminated plates of medium thickness," Izv. AN Arm. SSR, Mekh., 20, No. 5, 48-57 (1967).
93. V. N. Paimushin, "A refined iterative nonlinear theory of thin elastic shells," Prikl. Mat. Mekh., 54, No. 1, 86-92 (1990).
94. B. L. Pelekh, The Theory of Shells with Finite Shear Rigidity [in Russian], Naukova Dumka, Kiev (1973).
95. V. G. Piskunov, "On one version of the nonclassical theory of multilayered shallow shells and plates," Prikl. Mekh., 15, No. 11, 76-81 (1979).
96. V. G. Piskunov, "Modeling physicomechanical processes in laminated systems," in: Mechanics of Inhomogeneous Structures [in Russian], Vol. 1, Lvov (1987), pp. 211-312.
97. V. G. Piskunov, A. V. Burygina, and A. A. Rasskazov, "Shear effects of the stress state in transversally isotropic plates," Probl. Prochn., "Report 1. Vortex effect," No. 1 (1998), pp. 56-62, "Report 2. Potential effect," No. 1 (1998), pp. 63-71.
98. V. G. Piskunov and V. E. Verizhenko, Linear and Nonlinear Problems for Laminated Structures [in Russian], Budivel'nyk, Kiev (1986).
99. V. G. Piskunov, A. G. Gurtovoi, and V. S. Sipetov, "Refinement of the theory of anisotropic plates," Prikl. Mekh., 20, No. 5, 82-87 (1984).
100. V. G. Piskunov and A. V. Marchuk, "Construction of a spatial mathematical model for multilayered orthotropic plates," Probl. Prochn., No. 12, 51-67 (1994).
101. V. G. Piskunov and V. K. Prisyazhnyuk, "A nonclassical model of multilayered orthotropic composite shells for solution of dynamic problems," Dop. AN URSR, Ser. A, No. 4, 43-46 (1986).
102. V. G. Piskunov and A. O. Rasskazov, "Stress-strain analysis of shallow shells and plates based on the shear theory of the second-order approximation," Prikl. Mekh., 34, No. 8, 103-110 (1998).
103. V. G. Piskunov and A. O. Rasskazov, "Refined theories of multilayered composite shells and plates," in: Proc. 6th Nat. Congr. on Theoretical and Applied Mechanics (Varna, Bulgaria) [in Russian], Book 4, VI (1989), pp. 245-254.
104. V. G. Piskunov, V. S. Sipetov, and Sh. Sh. Tuimetov, "Bending of a thick transversally isotropic plate under a transversal load," Prikl. Mekh., 23, No. 11, 21-26 (1987).
105. V. G. Piskunov, V. S. Sipetov, and Sh. Sh. Tuimetov, "Solution of three-dimensional static problems for laminated orthotropic plates," Prikl. Mekh., 26, No. 2, 41-49 (1990).
106. V. G. Piskunov, Yu. M. Fedorenko, and I. M. Didychenko, "Dynamics of inelastic laminated composite shells," Mekh. Komp. Mater., 31, No. 1, 72-80 (1995).
107. A. V. Plekhanov, "On construction of the theory of bending of multilayered medium-thickness plates," in: Strength of Materials and Structural Theory [in Russian], Issue 31, Budivel'nyk, Kiev (1977), pp. 67-72.
108. B. E. Pobedrya, Mechanics of Composite Materials [in Russian], Nauka, Moscow (1984).
109. A. K. Privamikov, Solution of Boundary-Value Elastic Problems for Multilayered Foundations [in Russian], Izd. DGU, Dnepropetrovsk (1976).
110. V. K. Prisyazhnyuk and I. B. Zaivelev, "Solution of a plane elastic problem for a multilayered composite," Mekh. Komp. Mater., 27, No. 2, 206-214 (1991).
111. A. P. Prusakov, "The governing equations of sandwich plates with a light filler," Prikl. Mat. Mekh., 11, No. 1, 27-36 (1951).
112. A. P. Prusakov, "Nonlinear bending equations for multilayered shells," Prikl. Mekh., 7, No. 3, 3-8 (1971).
113. A. P. Prusakov, "On construction of a bending theory for plates of medium thickness by the energy-asymptotic method," Prikl. Mekh., 11, No. 10, 44-51 (1975).
114. A. P. Prasakov, V. D. Bondarenko, and V. A. Prusakov, Bending of Simply Supported Asymmetric Sandwich Plates under a Transverse Sinusoidal Load (Exact Solution) [in Russian], Manuscript No. 2366-UK deposited at UkrNIINTI 11.26.86, Dnepropetrovsk (1986).
115. A. P. Prusakov, "Constructing boundary layers for a shallow shell by the energy-asymptotic method," Int. Appl. Mech., 36, No. 2, 234-240 (2000).
116. R. M. Rappoport, "The Boussinesq problem for a laminated elastic half-space," in: Tr. Leningradskogo Politekhn, Inst., Issue 5, Leningrad (1948), pp. 3-18.
117. A. A. Rasskazov, "The stress-strain state of an anisotropic plate under cylindrical bending," Int. Appl. Mech., 35, No. 5, 522-529 (1999).
118. A. O. Rasskazov, "The theory of multilayered orthotropic shallow shells," Prikl. Mekh., 12, No. 11, 50-56 (1976).
119. A. O. Rasskazov, "The theory of vibrations of multilayered orthotropic shells," Prikl. Mekh., 13, No. 8, 23-29 (1977).
120. A. O. Rasskazov, "On stability of multilayered orthotropic shells," Prikl. Mekh., 14, No. 2, 62-66 (1978).
121. A. O. Rasskazov, "Finite-element analysis of a multilayered orthotropic shallow shell," Prikl. Mekh., 14, No. 8, 51-57 (1978).
122. A. O. Rasskazov and A. V. Burygina, "Refinement of the shear theory of laminated orthotropic shallow shells," Prikl. Mekh., 24, No. 4, 31-37 (1988).
123. A. O. Rasskazov and I. I. Sokolovskaya, "Experimental static and dynamic studies of multilayered plates," Prikl. Mekh., 17, No. 2, 65-70 (1981).
124. A. O. Rasskazov, I. I. Sokolovskaya, and L. B. Kotova, "Bending of round multilayered plates," Probl. Prochn., No. 1, 95-99 (1981).
125. A. O. Rasskazov, I. I. Sokolovskaya, and N. A. Shul'ga, "The equilibrium equations for multilayered orthotropic shallow shells," Prikl. Mekh., 16, No. 5, 45-50 (1980).
126. A. O. Rasskazov, I. I. Sokolovskaya, and N. A. Shul'ga, "Comparative analysis of some shear models in equilibrium and vibration problems for multilayered plates," Prikl. Mekh., 19, No. 7, 90-96 (1983).
127. A. O. Rasskazov, I. I. Sokolovskaya, and N. A. Shul'ga, Theory and Analysis of Laminated Orthotropic Plates and Shells [in Russian], Vyshcha Shkola, Kiev (1986).
128. A. O. Rasskazov, "Development of an applied theory and methods for designing laminated orthotropic shells and plates," Visn. Transp. Akad. Ukr. Ukr. Transp. Univ., No. 1, 110-116 (1997).
129. V. G. Piskunov, V. E. Verizhenko, V. K. Prisyazhnyuk, V. S. Sipetov, and V. S. Karpilovskii, Finite-Element Analysis of Inhomogeneous Shells and Plates [in Russian], Vyshcha Shkola, Kiev (1987).
130. R. B. Rikards, The Finite-Element Method in the Theory of Shells and Plates [in Russian], Zinatne, Riga (1988).
131. R. B. Rikards and G. A. Teters, Stability of Composite Shells [in Russian], Zinatne, Riga (1974).
132. A. F. Ryabov and A. O. Rasskazov, "Bending of thick plates inhomogeneous across the thickness," Prikl. Mekh., 18, No. 3, 55-59 (1982).
133. O. F. Ryabov, Designing Multilayered Shells [in Ukrainian], Budivel'nyk, Kiev (1968).
134. V. S. Sarkisyan, Some Problems of the Mathematical Elastic Theory of Anisotropic Body [in Russian], Izd. Yerevanskogo Gos. Univ., Yerevan (1976).
135. A. S. Sakharov, "Moment finite-element scheme including rigid displacements," in: Strength of Materials and Structural Theory [in Russian], Issue 24, Budivel'nyk, Kiev (1974), pp. 147-156.
136. A. S. Sakharov, A. L. Kozak, A. V. Gondlyakh, and S. L. Mel'nikov, "A mathematical deformation model for multilayered composite shell systems," in: Strength of Materials and Structural Theory [in Russian], Issue 44, Budivel'nyk, Kiev (1984), pp. 13-16.
137. V. S. Sipetov, "Refined analysis of the behavior of laminated composite structures under thermal and static actions," Mekh. Komp. Mater., No. 1, 142-149 (1989).
138. V. F. Snigirev, "FEM relations for stress analysis of sandwich plates with a light filler," in: Research on the Theory of Plates and Shells [in Russian], Izd. Kazanskogo Univ., Kazan' (1979), pp. 59-67.
139. Yu. N. Tamurov, "A generalized theory of sandwich shallow shells that accounts for the reduction of a physically nonlinear filler," Prikl. Mekh., 26, No. 12, 39-45 (1990).
140. A. G. Teregulov, "The theory of multilayered anisotropic shells revisited," in: Research on the Theory of Plates and Shells [in Russian], Issues 6-7, Izd. Kazanskogo Univ., Kazan' (1970), pp. 762-767.
141. I. Yu. Khoma, The Generalized Theory of Anisotropic Shells [in Russian], Naukova Dumka, Kiev (1986).
142. L. P. Khoroshun, "On the derivation of the equations of laminated plates and shells," Prikl. Mekh., 14, No. 10, 3-21 (1978).
143. L. P. Khoroshun, S. V. Kozlov, Yu. A. Ivanov, and I. K. Koshevoi, The Generalized Theory of Plates and Shells Inhomogeneous across the Thickness [in Russian], Naukova Dumka, Kiev (1988).
144. I. A. Tsurpal and N. G. Tamurov, Designing Multiply Connected Laminated and Nonlinearly Elastic Plates and Shells [in Russian], Vyshcha Shkola, Kiev (1977).
145. V. K. Chibiryakov, "On one version of the equations of cylindrical bending of nonthin plates," in: Strength of Materials and Structural Theory [in Russian], Issue 3, Budivel'nyk, Kiev (1977), pp. 59-67.
146. P. P. Chulkov, "The general theory of laminated shells," Dokl. AN SSSR, Mekh. Tverd. Tela, No. 6, 167-170 (1967).
147. V. I. Shvabyuk, "Allowing for the compressibility of the normal in contact problems for transversally isotropic plates," Prikl. Mekh., 16, No. 4, 71-77 (1980).
148. N. A. Shul'ga, Fundamentals of the Mechanics of Periodic Laminated Media [in Russian], Naukova Dumka, Kiev (1981).
149. N. A. Shul'ga, G. A. Krivov, Yu. M. Fedorenko et al., Modeling and Designing Inhomogeneous Structural Elements [in Russian], Tekhnika, Kiev (1996).
150. S. Adali, E. B. Summers, and V. E. Verijenko, "Optimization of laminated cylindrical pressure vessels under strength criterion," Compos. Struct., 25, 305-312 (1993).
151. I. Yu. Babich, A. N. Guz, and V. N. Chekhov, "The three-dimensional theory of stability of fibrous and laminated materials," Int. Appl. Mech., 37, No. 9, 1103-1141 (2001).
152. A. E. Bogdanovich and P. L. Sierakowski, "Composite materials and structures: Science, technology and applications. A compendium of books, review papers, and other sources of information," Appl. Mech. Rev., 52, No. 12, 351-366 (1999).
153. D. M. Burmister, "The general theory of stresses and displacements in layered system," J. Appl. Phys., 16, 51-80 (1945).
154. L. Librescu and T. Hause, "Recent developments in the modeling and behavior of advanced sandwich constructions: a survey," Comp. Struct., 48, 1-17 (2000).
155. A. V. Marchuk and V. G. Piskunov, "Solution of the problem on the dynamic deformation of laminated flat structures," Int. Appl. Mech., 36, No. 4, 526-531 (2000).
156. P. M. Naghdi, "On the theory of thin elastic shells," Quart. Appl. Math., 14, No. 4, 369-380 (1957).
157. A. K. Noor and W. S. Burton, "Assessment of shear deformation theories for multilayered composite plates," Appl. Mech. Rev., 42, No. 1, 1-13 (1989).
158. A. K. Noor and W. S. Burton, "Assessment of computational models for multilayered composite shells," Appl. Mech. Rev., 43, No. 4, 67-97 (1990).
159. A. K. Noor and W. S. Burton, "Three-dimensional solutions for antisymmetrically laminated anisotropic plates," ASME J. Appl. Mech., 57, 182-187 (1990).
160. A. K. Noor, W. S. Burton, and C. W. Bert, "Computational models for sandwich panels and shells," Appl. Mech. Rev., 9, No. 3, 155-199 (1996).
161. N. J. Pagano, "Exact solutions for composite laminates in cylindrical bending," J. Comp. Mater., No. 3, 398-411 (1969).
162. N. J. Pagano, "Exact solutions for rectangular bidirectional composite sandwich plates," J. Comp. Mater., No. 4, 20-34 (1979).
163. N. J. Pagano and S. J. Hatfields, "Elastic behavior of multilayered bidirectional composites," AIAA J., 10, No. 7, 931-933 (1972).
164. V. G. Piskunov, A. V. Goryk, A. L. Lyakhov, and V. N. Cherednikov, "High-order model of the stress-strain state of composite bars and its implementation by computer algebra," Comp. Struct., 48, 169-176 (2000).
165. V. G. Piskunov, V. E. Verijenko, S. Adali, and P. Y. Tabakov, "Transverse shear and normal deformation higher-order theory for the solution of dynamic problems of laminated plates and shells," Int. J. Solid. Struct., 31, No. 24, 3345-3374 (1994).
166. A. O. Rasskazov, V. M. Trach, and V. N. Gupalyuk, "Stability of multilayered shells of revolution with allowance for geometric nonlinearity of the subcritical state," Int. Appl. Mech., 35, No. 6, 589-594 (1999).
167. J. N. Reddy, "A review of refined theories of laminated composite plates," Shock Vibr. Dig., 22, 3-17 (1990).
168. J. N. Reddy, "On the generalization of displacement-based laminated theories," Appl. Mech. Rev., 42, No. 11, pt. 2, S213-S222 (1993).
169. J. N. Reddy, "An evaluation of equivalent single-layer and layer-wise theories of composite laminates," Comp. Struct., 25, 21-35 (1993).
170. J. N. Reddy and D. H. Robbins, "Theories and computational models for composite laminates," Appl. Mech. Rev., 47, No. 6, pt. 1, 21-35 (1994).
171. E. Reissner, "On the theory of bending of elastic plates," J. Math. Phys., 33, 184-191 (1944).
172. E. Reissner, "Finite deflections of sandwich plates," J. Aero. Sci., 15, No. 17, 17-23 (1948).
173. E. Reissner, "A consistent treatment of transverse shear deformations in laminated anisotropic plates," AIAA J., 10, No. 5, 716-718 (1972).
174. M. Savoia and J. N. Reddy, "A variational approach to three-dimensional elasticity solutions of laminated composite plates," ASME J. Appl. Mech., 59, 166-175 (1992).
175. S. Srinivas, A. K. Rao, and C. V. Joga Rao, "Flexure of simple supported thick homogeneous and laminated rectangular plates," Z. Andew. Math. Mech., 49, 449-458 (1969).
176. K. Stamm and H. Witte, Sandwichkonstruktionen, Springer, Vienna-New York (1974).
177. S. P. Timoshenko, "On the correction for shear of the differential equation for transverse vibrations of prismatic bars," Phil. M. J. Sci., Ser. 6, 41, No. 245, 744-746 (1921).
178. S. P. Timoshenko and J. N. Goodier, Theory of Elasticity, McGraw-Hill, New York (1970).
179. V. V. Vasiliev, "Modern conceptions of plate theory," Comp. Struct., 48, 39-48 (2000).
180. V. E. Verijenko, "Geometrically nonlinear higher order theory of laminated plates and shells with shear and normal deformation," Comp. Struct., 29, 161-179 (1994).