Nonlinear analysis of simply supported Reissner–Mindlin plates subjected to lateral pressure and thermal loading and resting on two-parameter elastic foundations

2000 ◽  
Vol 22 (11) ◽  
pp. 1481-1493 ◽  
Author(s):  
Hui-Shen Shen
2000 ◽  
Vol 35 (2) ◽  
pp. 93-103 ◽  
Author(s):  
Hui-Shen Shen

A non-linear bending analysis is presented for a simply supported shear deformable composite laminated plate subjected to a combined uniform lateral pressure and thermal loading and resting on a two-parameter (Pasternak-type) elastic foundation. The formulations are based on Reddy's higher-order shear deformation plate theory, including the plate-foundation interaction and thermal effects. The analysis uses a mixed Galerkin-perturbation technique to determine the load-deflection curves and load-bending moment curves. Numerical examples are presented that relate to the performances of antisymmetric angleply and symmetric cross-ply laminated plates subjected to thermomechanical loading and resting on two-parameter elastic foundations from which results for Winkler elastic foundations are obtained as a limiting case. The influences due to a number of effects e.g. foundation stiffness, plate aspect ratio, total number of plies, fibre orientation and initial thermal bending stress, are studied. Typical results are presented in a dimensionless graphical form.


1983 ◽  
Vol 109 (6) ◽  
pp. 1390-1402 ◽  
Author(s):  
Feng Zhaohua ◽  
Robert D. Cook

2021 ◽  
pp. 136943322110427
Author(s):  
Xiang Zhang ◽  
Quan-Sheng Yan ◽  
Bu-Yu Jia ◽  
Zheng Yang ◽  
Ying-Hao Zhao ◽  
...  

Connecting the ends of girders with a continuous slab-deck to make a multiple-span simply supported girder bridge provides many benefits, but there is no suitable nonlinear analysis model which considers continuous slab-deck cracking under tension and bending. In this article, the rotational spring model is further refined to replace the restraining effects at both ends of the girder by the simplified mechanical model associated with axial stiffness, bending stiffness, and shear stiffness. Then, it is introduced into the analysis of continuous slab-deck. The more accurate rotations and displacements of both ends of continuous slab-deck are obtained to investigate the more precise moment and tension of the continuous slab-deck. Furthermore, this article presents an improved nonlinear analysis model of continuous slab-deck based on a detailed boundary rotational spring model. The displacements of important positions and the strain of key components in continuous slab-deck after cracking are investigated by numerical analysis and full-scale model test to verify the accuracy of the proposed nonlinear analysis model. The result shows that the nonlinear analysis model presented in this article could successfully evaluate the depth of cracks and the stress of rebars in continuous slab-deck, and it is instructional in predicting the cracking state of the continuous slab-deck and the reinforcement design.


Structures ◽  
2022 ◽  
Vol 35 ◽  
pp. 303-313
Author(s):  
Mohamed Tahiri ◽  
Abdellatif Khamlichi ◽  
Mohammed Bezzazi

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