Premium
Viscoelastic functionally graded finite element method with recursive time integration and applications to flexible pavements
Author(s) -
Dave Eshan V.,
Paulino Glaucio H.,
Buttlar William G.
Publication year - 2011
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.1046
Subject(s) - gradation , viscoelasticity , homogeneity (statistics) , finite element method , homogeneous , property (philosophy) , asphalt , material properties , structural engineering , geotechnical engineering , mathematics , computer science , engineering , materials science , composite material , philosophy , statistics , epistemology , combinatorics , computer vision
SUMMARY 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. Copyright © 2011 John Wiley & Sons, Ltd.