Prof. Yu. A. Rossikhin died before publication of this work was completed.
References
Ambartsumjan SA (1961) Theory of anisotropic shells (in Russian). Fizmatgiz, Moscow
McConnel AJ (1957) Application of tensor analysis. Dover Publications, New York
Mindlin RD (1951) Influence of rotary inertia and shear on flexural motions of isotropic, elastic plates. ASME J Appl Mech 18:31–38
Mindlin RD (1961) High frequency vibrations of crystal plates. Q Appl Math 19:51–61
Murty AV (1970) Vibrations of short beams. AIAA J 8:34–38
Naghdi PM (1957) On the theory of thin elastic shells. Q Appl Math 14:369–380
Reddy JN (1984) A refined nonlinear theory of plates with transverse shear deformation. Int J Solids Struct 20:881–896
Reissner E (1945) The effect of transverse shear deformation on the bending of elastic plates. ASME J Appl Mech 12:A69–A77
Rossikhin YA, Shitikova MV (1994) A ray method of solving problems connected with a shock interaction. Acta Mech 102:103–121. https://doi.org/10.1007/BF01178521
Rossikhin YA, Shitikova MV (1995a) Ray method for solving dynamic problems connected with propagation on wave surfaces of strong and weak discontinuities. Appl Mech Rev 48(1):1–39. https://doi.org/10.1115/1.3005096
Rossikhin YA, Shitikova MV (1995b) The ray method for solving boundary problems of wave dynamics for bodies having curvilinear anisotropy. Acta Mech 109 (1–4):49–64. https://doi.org/10.1007/BF01176816
Rossikhin YA, Shitikova MV (2007) The method of ray expansions for investigating transient wave processes in thin elastic plates and shells. Acta Mech 189(1–2):87–121. https://doi.org/10.1007/S00707- 006-0412-x
Thomas TY (1961) Plastic flow and fracture in solids. Academic, New York
Timoshenko SP (1928) Vibration problems in engineering. Van Nostrand, New York
Uflyand YS (1948) Waves propagation under transverse vibrations of bars and plates (in Russian). Prikl Mat Mekh 12:287–300
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Section Editor information
Rights and permissions
Copyright information
© 2019 Springer-Verlag GmbH Germany, part of Springer Nature
About this entry
Cite this entry
Rossikhin, Y.A., Shitikova, M.V. (2019). Boundary-Value Dynamic Problems of Thin Bodies, Ray Expansion Approach. In: Altenbach, H., Öchsner, A. (eds) Encyclopedia of Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53605-6_108-1
Download citation
DOI: https://doi.org/10.1007/978-3-662-53605-6_108-1
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-53605-6
Online ISBN: 978-3-662-53605-6
eBook Packages: Springer Reference EngineeringReference Module Computer Science and Engineering