Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
Applied theory of shallow multilayered or functionally graded shells. / Tovstik, Petr E.; Tovstik, Tatiana P.
Shell Structures: Theory and Applications Volume 4 - Proceedings of the 11th International Conference on Shell Structures: Theory and Applications, SSTA 2017. ред. / Wojciech Pietraszkiewicz; Wojciech Witkowski. Taylor & Francis, 2018. стр. 181-184 (Shell Structures: Theory and Applications Volume 4 - Proceedings of the 11th International Conference on Shell Structures: Theory and Applications, SSTA 2017).Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
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TY - GEN
T1 - Applied theory of shallow multilayered or functionally graded shells
AU - Tovstik, Petr E.
AU - Tovstik, Tatiana P.
PY - 2018/1/1
Y1 - 2018/1/1
N2 - The paper deals with a thin shell made of transversely isotropic linearly elastic material. The material is supposed to be strongly heterogeneous across the thickness. The shell may in part be multilayered of functional gradiation. A shallow shell model taking into account the transversal shear is proposed to approximately solve some shell problems. The model combines the shallow model of the Mushtary-Donnell-Vlasov-type and theTimoshenko-Reissner shear model. This model proves useful in finding the shell deflections and in solving some vibration and buckling problems. On the other hand, this model is useless if the aim is the stress distribution in the thickness direction. The model accuracy is estimated by comparison with some test problems for which the 3D equations of the theory of elasticity have exact solutions. In particular, it turns out that the model is acceptable for a three-layer circular cylindrical shell with the contrast of the Young moduli being 1000.
AB - The paper deals with a thin shell made of transversely isotropic linearly elastic material. The material is supposed to be strongly heterogeneous across the thickness. The shell may in part be multilayered of functional gradiation. A shallow shell model taking into account the transversal shear is proposed to approximately solve some shell problems. The model combines the shallow model of the Mushtary-Donnell-Vlasov-type and theTimoshenko-Reissner shear model. This model proves useful in finding the shell deflections and in solving some vibration and buckling problems. On the other hand, this model is useless if the aim is the stress distribution in the thickness direction. The model accuracy is estimated by comparison with some test problems for which the 3D equations of the theory of elasticity have exact solutions. In particular, it turns out that the model is acceptable for a three-layer circular cylindrical shell with the contrast of the Young moduli being 1000.
UR - http://www.scopus.com/inward/record.url?scp=85063905053&partnerID=8YFLogxK
U2 - 10.1201/9781315166605-38
DO - 10.1201/9781315166605-38
M3 - Conference contribution
AN - SCOPUS:85063905053
SN - 9781138050457
T3 - Shell Structures: Theory and Applications Volume 4 - Proceedings of the 11th International Conference on Shell Structures: Theory and Applications, SSTA 2017
SP - 181
EP - 184
BT - Shell Structures
A2 - Pietraszkiewicz, Wojciech
A2 - Witkowski, Wojciech
PB - Taylor & Francis
T2 - 11th International Conference on Shell Structures: Theory and Applications, SSTA 2017
Y2 - 11 October 2017 through 13 October 2017
ER -
ID: 49337738