Improved Analytical Model and Algorithm for Computing Expansive Soil–Induced Stresses in Pavements
Publication: International Journal of Geomechanics
Volume 21, Issue 12
Abstract
Estimating pavement internal forces due to the swelling or shrinking of expansive soils is of vital importance for planning, design, and construction. Such efforts can minimize some possible damage due to expansive soils during pavement services. This study extends an analytical model on the single-layer Euler–Bernoulli beam resting on the Winkler foundation to estimate pavement internal forces in the multilayer pavement structure. Besides, an improved efficient algorithm is proposed in this paper for computing the value of virtual load parameters. The proposed closed-form solution and iterative algorithm are then verified by comparing the degraded solution with the single-layer beam model and the existing iterative algorithm. The influences of the beam model (single layer or multilayer) and foundation parameters on the pavement internal forces have also been investigated through parametric studies. Furthermore, the computational efficiency is compared between the iterative algorithm adopted by the previous researcher and the iterative algorithm proposed in this paper. It can be seen that a single-layer beam model may underestimate pavement internal forces induced by expansive soils. Foundation parameters will affect the value of virtual load parameters. Also, it can be found that the iterative algorithm proposed in this paper can reduce the iterative calculation time considerably. Moreover, it can be observed that with more fitting points and fitting terms, the fitting has a more accurate effect, and the advantages of using the iterative algorithm proposed in this paper are more pronounced.
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Data Availability Statement
All data, models, or code that support the findings of this study are available from the corresponding author upon request.
Acknowledgments
This research is supported by the National Key R&D Program of China (2016YFC0800200), the National Natural Science Foundation of China (52078236 and 51878313), and the Fundamental Research Funds for the Central Universities (2020kfyXJJS127). The authors are heartily thankful for financial assistance.
Notation
The following symbols are used in this paper:
- An
- constants of Fourier series;
- B
- length of pavement/width of beam/pavement;
- Ci
- analytical solution constants;
- Ei
- elastic modulus of the ith layer of beam/pavement;
- Gp
- shear modulus of foundation;
- hi
- thickness of the ith layer of beam;
- ks
- elastic constant of foundation;
- L
- width of pavement/length of beam/pavement;
- M
- bending moment of pavement/beam;
- N
- number of iterations;
- Nobs
- number of observation points;
- n
- fitted terms;
- q
- virtual load;
- V
- shear force of pavement/beam;
- wB
- deflection of pavement/beam;
- wp
- heave/shrinkage of subgrade soil; and
- ϕ
- rotation of pavement/beam.
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Published In
International Journal of Geomechanics
Volume 21 • Issue 12 • December 2021
Copyright
© 2021 American Society of Civil Engineers.
History
Received: Sep 24, 2020
Accepted: Jul 19, 2021
Published online: Oct 6, 2021
Published in print: Dec 1, 2021
Discussion open until: Mar 6, 2022
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