Viscoelastic functionally graded finite element method with recursive time integration and applications to flexible pavements

Citation:

Dave EV, Paulino GH, Buttlar WG. Viscoelastic functionally graded finite element method with recursive time integration and applications to flexible pavements. International Journal for Numerical and Analytical Methods in Geomechanics [Internet]. 2012;36 (9) :1194 - 1219.

Abstract:

The finite-element (FE) method is used for modeling geotechnical and pavement structures exhibiting significant non-homogeneity. Property gradients generated due to non-homogeneous distributions of moisture is one such example for geotechnical materials. Aging and temperature-induced property gradients are common sources of non-homogeneity for asphalt pavements. Investigation of time-dependent behavior combined with functionally graded property gradation can be accomplished by means of the non-homogeneous viscoelastic analysis procedure. This paper describes the development of a generalized isoparametric FE formulation to capture property gradients within elements, and a recursive formulation for solution of hereditary integral equations. The formulation is verified by comparison with analytical and numerical solutions. Two application examples are presented: the first describes stationary crack-tip fields for viscoelastic functionally graded materials, and the second example demonstrates the application of the proposed procedures for efficient and accurate simulations of interfaces between layers of flexible pavement. © 2011 John Wiley & Sons, Ltd.

Notes:

Analytical and numerical solutions;Application examples;Common source;Crack tip fields;FE formulation;Flexible pavements;Functionally graded;Generalized isoparametric formulation (GIF);Geotechnical;Geotechnical material;Hereditary integrals;Non-homogeneous;Non-homogeneous distribution;Nonhomogeneity;Pavement structures;Recursive formulation;Temperature-induced;Time dependent behavior;Time integration;Viscoelastic analysis;Viscoelastic functionally graded materials (VFGM);

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