Simulación del fenómeno de creep en suelos arcillosos mediante reología y ecuaciones diferenciales fraccionarias

Abdel-Hady, 1965, Rheological Properties of Compacted Soil-Asphalt Mixtures. Transportation Research Board Business Office, Highway Research Record, 13 Aigner, 2009, Multiscale Prediction of Viscoelastic Properties of Asphalt Concrete, J. Mat. in Civ. Engrg., 21, 771, 10.1061/(ASCE)0899-1561(2009)21:12(771) Arafet, 2008 Ariaratnam, 2003, Evaluation of Rheologic Properties of Fluid Returns from Horizontal Directional Drilling, Proceedings of the NASTT/ISTT International No-Dig 2003 Show Bagley, 1986, On the Fractional Calculus Model of Viscoelastic Behavior, J. Rheol., 30, 133, 10.1122/1.549887 Carpinteri, 2004, A Disordered Microstructure Material Model Based on Fractal Geometry and Fractional Calculus, ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 84, 128, 10.1002/zamm.200310083 Craiem, 2007, A Fractional Derivative Model to Describe Arterial Viscoelasticity, Biorheology, 44, 251 Denath, 2003 Diethelm, 2005, Algorithms for the Fractional Calculus: A Selection of Numerical Methods. Comput., Methods Appl. Mech. Engrg., 194, 743, 10.1016/j.cma.2004.06.006 Gurtin, 1962, On the Linear Theory of Viscoelasticity, Arch. Rational Mech. Anal., 11, 10.1007/BF00253942 Hartley, 1995, Chaos in a Fractional Order Chua’s System, IEEE Trans CAS-I, 42, 485, 10.1109/81.404062 Hermosillo, 2010, Determinación experimental de la reología fraccional en suelos, Memorias de la XXV Reunión Nacional de Mecánica de Suelos e Ingeniería Geotécnica Jäger, 2008, Finer-Scale Extraction of Viscoelastic Properties from Nanoindentation Characterised by Viscoelastic–Plastic Response, Strain, 45, 45, 10.1111/j.1475-1305.2008.00416.x Koh, 1990, Application of Fractional Derivatives to Seismic Analysis of Base-Isolated Models, Earthquake Engineering and Structural Dynamics, 19, 229, 10.1002/eqe.4290190207 Liu, 2006, Higher-Order Fractional Constitutive Equations of Viscoelastic Materials Involving Three Different Parameters and their Relaxation and Creep Functions, 10, 263 Liu, 2008, Study on the Viscoelasticity of Cancellous Bone Based on Higher-order Fractional Models, Bioinformatics and Biomedical Engineering, ICBBE 2008, The 2nd International Conference, 1733, 10.1109/ICBBE.2008.761 Meral, 2010, Fractional Calculus in Viscoelasticity: An Experimental Study, Commun Nonlinear Sci Numer Simulat, 15, 939, 10.1016/j.cnsns.2009.05.004 Meschyan, 2005, Devices for Determination of the Rheologic Properties of Soils by the Torsioning of Specimens in a Kinematic Regime, Soil Mechanics and Foundation Engineering, 42, 10.1007/s11204-005-0031-x Neaman, 2004, The Effects of Palygorskite on Chemical and Physico-Chemical Properties of Soils: a Review, Geoderma, 123, 297, 10.1016/j.geoderma.2004.02.013 Podlubny, 1994 Robert, 2006, A New Rheological Model Based on Fractional Derivatives for Biological Tissues Rocha, 2003, Una breve introducción al cálculo fraccional Schiessel, 1993, Hierarchical Analogues to Fractional Relaxation Equations, J. Phys. A: Math. Gen., 28, 5057, 10.1088/0305-4470/26/19/034 Schmidt, 2001, FE Implementation of Viscoelastic Constitutive Stress-Strain Relations Involving Fractional Time Derivatives, 79 Sheldon, 2008, Analyzing Viscoelastic Materials, ANSYS Advantage, II Teamrat A.G. y Dani O. Rheological Properties of Wet Soils and Clays under Steady and Oscillatory Stresses, Dep. of Plants, Soils and Biometeorology, Utah State Univ., Logan, UT 84322. Terzaghi, 1943 Hermosillo-Arteaga, 2014, Simulación del fenómeno de creep en suelos arcillosos mediante reología y ecuaciones diferenciales fraccionarias, Ingeniería Investigación y Tecnología, XV, 561 Hermosillo-Arteaga, 2014, Simulación del fenómeno de creep en suelos arcillosos mediante reología y ecuaciones diferenciales fraccionarias, Ingeniería Investigación y Tecnología, XV, 561