Refrences:
1.Wang, C.M., Reddy, J.N., and Lee K.H., Shear Deformable Beams and Plates-Relationships with Classical Solutions, UK, Elsevier (2000).
2. Levinson, M.A. New rectangular beam theory", Journal of Sound and Vibration, 74(1), pp. 81-87 (1981).
3. Heyliger, P.R. and Reddy, J.N. A higher order beam _nite element for bending and vibration problems", Journal of Sound and Vibration, 126(2), pp. 309-326 (1988). 4. Challamel, N. High-order shear beam theories and enriched continuum", Mechanics Research Communications, 38(5), pp. 388-392 (2011). 5. Sayyad, A.S. Comparison of various re_ned beam theories for the bending and free vibration analysis of thick beams", Applied and Computational Mechanics, 5(2), pp. 217-230 (2011). 6. Sayyad, A.S. and Ghugal, Y.M. A uni_ed shear deformation theory for the bending of isotropic, functionally graded, laminated and sandwich beams and plates", International Journal of Applied Mechanics, 9(1), pp. 1-36 (2017). M. Ghabdian et al./Scientia Iranica, Transactions A: Civil Engineering 26 (2019) 2187{2202 2199 7. Dongil, S., Soomin, C., Jang G.W., and Kim Y.Y. High-order beam theory for static and vibration analysis of composite thin-walled box beam", Composite Structures, 206, pp. 140-154 (2018). 8. Le, C.A. and Kosmatka, J.B. On the analysis of prismatic beams using _rst-order warping functions", International Journal of Solid and Structures, 29(7), pp. 879-891 (1992). 9. Sayyad, A.S. Comparison of various re_ned beam theories for the bending and free vibration analysis of thick beams", Applied and Computational Mechanics, 5(2), pp. 217-230 (2011). 10. Polizzotto, C. From the Euler-Bernoulli beam to the Timoshenko one through a sequence of Reddy-type shear deformable beam models of increasing order", European Journal of Mechanics-A/Solids, 53, pp. 62- 74 (2015). 11. Minera, S., Panti, M., Carrera, E., Petrolo, M., Weaver, P.M., and Pirrera, A. Three-dimensional stress analysis for beam-like structures using Serendipity Lagrange shape functions", International Journal of Solid and Structures, 141-142, pp. 279-296 (2018). 12. Kim, M.S., Kim, H., Park, H., Ahn, N., and Lee, Y.H. Evaluation of shear behavior of deep beams with shear reinforced with GFRP plate", Scientia Iranica, 22(6), pp. 2142-2149 (2015). 13. Karaman, S.I. Shear behavior of reinforced concrete deep beams", PhD Dissertation, Department of civil engineering, University of She_eld, UK (2016). 14. Fib Model Code for Concrete Structures, Germany, Ernst & Sohn (2013). 15. Euro-code 2, Design of Concrete Structures - Part 1-1, General Rules and Rules for Building, Brussels. (2004). 16. ACI Committee 209R-08, Guide for Modeling and Calculating Shrinkage and Creep in Hardened Concrete, American Concrete Institute, Farmington Hills, USA (2008). 17. Bazant, Z.P. and Murphy W.P. Creep and shrinkage prediction model for analysis and design of concrete structures-model B3", Materiaux et Constructions, 28(180), pp. 357-365 (1995). 18. Lakho, N.A. and Zadari, M.A. Long-term exural behavior of reinforced baked clay beams", Scientia Iranica, 24(3), pp. 877-883 (2017). 19. Gilbert, R.I. and Ranzi, G., Time-dependent Behavior of Concrete Structures, New York, Spon Press (2011). 20. Gilbert, R.I. Time-dependent sti_ness of cracked reinforced and composite concrete slabs", Procedia Engineering, 57, pp. 19-34 (2013). 21. Bazant, Z.P. Prediction of concrete creep e_ects using age-adjusted e_ective modulus method", Journal Proc., 69(4), pp. 212-219 (1972). 22. Fernandez Ruiz, M., Muttoni, A., and Gambarova, P.G. Relationship between nonlinear creep and cracking of concrete under uniaxial compression", Journal of Advanced Concrete Technology, 5(3), pp. 383-393 (2007). 23. Tasevski, D., Fernandez Ruiz, M., and Muttoni, A. Compressive strength and deformation capacity of concrete under sustained loading and low stress rates", Journal of Advanced Concrete Technology, 16, pp. 396- 415 (2018). 24. Anis, M.A., Farid, B.J., and Al-Janabi, A.I.M. Stressstrain relationship for concrete in compression mode of local materials", JKAU. Engineering Science, 2, pp. 183-194 (1990). 25. Gilbert, R.I. Calculation of long-term deection", CIA Seminar, Brisbane (April 2008). 26. Reybrouck, N., Criel, P., Mullem, T.V., and Caspeele, R. Long-term data of reinforced concrete beams subjected to high sustained loads and simpli_ed prediction method", Structural Concrete, 18(6), pp. 850-861 (2017). 27. Lubliner, J., Oliver, J., Oller, S., and Onate E. A plastic-damage model for concrete", International Journal of Solid and Structures, 25(1), pp. 299-329 (1989). 28. Qiang, Y., Bazant, Z.P., and Wendner, R. Improved algorithm for e_cient and realistic creep analysis of large creep-sensitive concrete structures", ACI Structural Journal, 109(5), pp. 665-675 (2012). 29. ACI Committee 318-14, Building Code Requirements for Structural Concrete and Commentary, American Concrete Institute, Farmington Hills, USA (2014).
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