Abstract
In this chapter we combine the theory developed in Chapter 2 with the finite element method (FEM) to solve some two and three dimensional static and dynamic problems for strips and rectangular plates. We discuss the influence of the parameters defining the curved composite on the stress distribution, and on the natural frequencies of the plates.
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Bibliographical Notes
The results given in Section 3.1 and related to the stress distribution in the simply supported strip fabricated from periodic composite were obtained by S.D. Akbarov and N. Yahnioglu [50. Akbarov, S.D. and Yahnioglu, N.: Stress distribution in a strip fabricated from a composite material with small-scale curved structure, Int Appl Mech March, (1997), 684–690.].
The numerical results related to the stress distribution in this strip under the boundary and edge conditions (3.1.7) and (3.1.8) were obtained by N.Yahnioglu [ Yahnioglu, N.: FEM analyses of the boundary-value problems corresponding of the static of elements of constructions fabricated from the composite materials with curved structures. Doktoral Diss. Yildiz Technical University, Istanbul, 1996.];
the numerical investigations carried out for the stress distribution in the strip with the existence of a local curving in the structure, were also made by N. Yahnioglu [ Yahnioglu, N.: FEM analyses of the boundary-value problems corresponding of the static of elements of constructions fabricated from the composite materials with curved structures. Doktoral Diss. Yildiz Technical University, Istanbul, 1996.].
The results given in Section 3.2 and related with the rectangular plate fabricated from periodically curved composite were obtained by N. Yahnioglu [ Yahnioglu, N.: Three-dimensional analysis of stress fields in the plate fabricated from composite materials with small-scale structural curving, Mech Comp Mater, 33, No3 (1997), 340–348.];
the investigations related to local curving, were made by S.D. Akbarov and N.Yahnioglu [ Akbarov, S.D. and Yahnioglu, N.: On the finite element analysis of the influence of the local structural damage of the multilayered thick plate material to the stress distribution, in “Damage and Fracture Mechanics” Eds: C.A. Birebbia and A. Carpinteri, Computational Mech. Pub., Southampton, UK., Boston USA, 1998, pp:187–196, 52. Akbarov, S.D. and Yahnioglu, N.: The influence of the local structural damage of the multilayered thick plate material to the Stress distribution., Int App Mech. Mach (1999), 873–878.].
The investigations presented in Section 3.3 were carried out by A.D. Zamanov [ Zamanov, A.D.: On the stress distribution in the thick plate fabricated from the composite material with curved structures under forced vibration. Mech Comp Mater, 4 (1999), 447–454.].
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© 2000 Kluwer Academic Publishers
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Akbarov, S.D., Guz, A.N. (2000). Problems for Curved Composites. In: Mechanics of Curved Composites. Solid Mechanics and Its Applications, vol 78. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-9504-4_4
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DOI: https://doi.org/10.1007/978-94-010-9504-4_4
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-0383-7
Online ISBN: 978-94-010-9504-4
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