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STP 1198
Nondestructive Testing
of Pavements and Backcalculation
of Moduli: Second Volume
Harold L. Von Quintus, Albert J. Bush, III, and
Gilbert Y. Baladi, Editors
ASTM Publication Code Number (PCN)
04-011980-08
AsTM
1916 Race Street
Philadelphia, PA 19103
Printed in the U.S.A.
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Library of Congress Cataloging-in-Publication Data
Nondestructive testing of pavements of backcalculation of moduli,
Second volume/Harold L. Von Quintus, Albert J. Bush, III, and
Gilbert Y. Baladi, editors.
p. cm. -- (STP 1198)
Contains papers presented at the symposium held in Atlanta, GA on
23-24 June 1993, sponsored by ASTM Committee D-18 on Soil and Rock and
its Subcommittee D4 on Road Paving Materials.
"ASTM publication code number (PCN) 04-011980-08."
Includes bibliographical references and index.
ISBN 0-8031-1865-1
1. Pavements--Testing~ongresses. 2. Nondestructive testing---Congresses.
I. Von Quintus, H. L. (Harold L.) IL Bush, A. J. (Albert Jasper) IlL
Baladi, Gilbert Y., 1943- IV. ASTM Committee D18 on Soil and Rock.
Subcommittee D-4 on Road and Paving Materials. V. Series:
ASTM special technical publication: 1198
TE250.N572 1994
625.8'028'7~c20 94-24308
CIP
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addressed all of the reviewers' comments to the satisfaction of both the technical editor(s) and the
ASTM Committee on Publications.
To make technical information available as quickly as possible, the peer-reviewed papers in this
publication were printed "camera-ready" as submitted by the authors.
The quality of the'papers in this publication reflects not only the obvious efforts of the authors and
the technical editor(s), but also the work of these peer reviewers. The ASTM Committee on
Publications acknowledges with appreciation their dedication and contribution to time and effort on
behalf of ASTM.
Printed in Ann Arbor, MI
December 1994
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Foreword
This publication, Nondestructive Testing of Pavements and Backcalculation of Moduli (Second Volume), contains papers presented at the symposium of the same name held in Atlanta,
GA on 23-24 June 1993. The symposium was sponsored by ASTM Committee DI8 on Soil
and Rock and its Subcommittee D4 on Road and Paving Materials. Albert J. Bush, II1, of U.S.
Army Corps of Engineers in Vicksburg, MS, Harold L. Von Quintus of Brent Rauhut Engineering in Austin, TX, and Gilbert Y. Baladi of Michigan State University in East Lansing, MI
presided as symposium chairmen and are the editors of the resulting publication.
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Contents
Overview ix
ANALYTICAL MODELS AND TECHNIQUES
Advanced Backcalculation Techniques---J. UZAN
SHRP's Layer Moduli Backcalculation Procedure---G. RADA, C. RICHTER,
AND P. JORDAHL
Methodology for Identifying Material Properties in Pavements Modeled as Layered
Viscoelastic Half Spaces--N. STUBBS, V. TORPUNURI, R. LYTTON,
AND A. MAGNUSON
Backcalculation of Pavement Layer Moduli, Thicknesses, and Bedrock Depth
Using a Modified Newton Method--R. HARRICHANDRAN, T, MAHWOOD,
R, RAAD, AND G. BALADI
Improved Methods for AC/PCC Pavement Backcalculation and Evaluation--K.
HALL AND M. DARTER
Concrete Pavement Backcalculation Using ILLI-BACK--A. IOANNIDES
Dynamic Analysis of FWD Loading and Pavement Response Using a ThreeDimensional Dynamic Finite--Element Program--s. ZAGHLOUL, T. WHITE,
V. DRNEVICH, AND B. COREE
38
53
68
83
103
125
MEASUREMENT AND CALCULATION TECHNIQUES IN THE FIELD AND LABORATORY
Verification of Pavement Response Models--a. ULLIDTZ, J. KRARUP,
AND T. WAHLMAN
Field Validation of a Methodology to Identify Material Properties in Pavements
Modeled as Layered Viscoelastic Halfspaces---v. s. TORPUNUR, N. STUBBS,
R. L. LYTTON, AND A. H. MAGNUSON
Comparing Laboratory and Backcalculated Layer Moduli on Instrumented
Pavement Sections---T. AKRAM, T. SCULLION, AND R. E. SMITH
V
143
159
170
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In-Situ and Laboratory Characterization of Nonlinear Pavement Layer Moduli--
K. P. GEORGE AND W. UDDIN
A Pavement Evaluation Procedure Incorporating Material Non-Linearity--
J. R. DE ALMEIDA, S. F. BROWN, AND N. H. THOM
Effect of Material Stress Sensitivity on Backcalculated Moduli and Pavement
Evaluation--R. N. STUBSTAD, J. P. MAHONEY, AND N. F. COETZEE
203
218
233
PROBLEMS/ERRORS ASSOCIATED WITH BACKCALCULATION METHODS AND DESIGN PARAMETERS
Misleading Results from Nondestructive Testing--A CASE STUDY--J. W. HALL, JR.,
AND P. S. MCCAFFREY, JR. 251
Stochastic Analysis of Errors in Remaining Life Due to Misestimation of Pavement
Parameters in NDT--K. M. VENNALAGANTI, C. FERREGUT, AND S. NAZARIAN 261
Interpretation of Dynamic Survey Measurement on Pavement with Treated
Roadbase--P. LEPERT, AND P. CAPRIOLI 277
Phase LAG Effects on Analysis of FWD Data--P. E. SEBAALY, AND S. HOLIKAq'TI 291
The Effect of Annular Load Distributions on the Backcalculated of Moduli of
Asphalt Pavement Layers---J. A. CROVETTI, AND M. Y. SHAHIN 309
Effects of Pavement-Falling Weight Deflectomer Interaction on Measured
Pavement Response---K. M. BODDAPATI, AND S. NAZARIAN 326
NDT FOR OTHER PAVEMENT USES
Radar for Pavement Thickness Evaluation--K. R. MASER, T. SCULLION,
W. M. K. RODDIS, AND E. FERNANDO 343
A Comparison of Laboratory and Field Subgrade Moduli at the Minnesota Road
Research Project--D. A. VAN DEUSEN, C. A. LENNGREN, AND D. E. NEWCOMB 361
Detection of Multi-Course Pavement Layers by the SASW Method--N. GUCUNSrd 380
Strategies for Application of the Falling Weight Deflectomer to Evaluate Load
Transfer Efficiency at Joints in Jointed Concrete Pavements--o. J. JACKSON,
M. R. MURPHY, AND A. WIMSATT 395
Field Testing and Structural Evaluation of Selected Concrete Pavement Sections in
Florida---c. L. WU, AND M. TIA 404
Backcalculation of System Parameters for Jointed Rigid Pavements---
D. R. HILTUNEN AND R. ROQUE 440
vi
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Evaluation of Support Conditions Under Jointed Concrete Pavement Slabs--
J. A. CROVETTI AND M. R. T. CROVETTI
Determination of Voids Under Rigid Pavements Using Impulse Methods. NAZARIAN, S. REDDY AND M, BAKER
Evaluation of NDT Equipment for Measuring Voids Under Concrete Pavements---
w. UDDIN AND W. R. HUDSON
455
473
488
PROPOSED STANDARD GUIDE
The Quest for a Standard Guide to NDT Backealculation--R. w. MAY AND
H. L. VON QUINTUS
Author Index
Subject Index
505
521
523
vii
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Overview
In June 1988, the first International Symposium on Nondestructive Testing (NDT) of Pavements and Backcalculation of layer moduli was held. Since then, another symposium on NDT
and backcalculation of layer moduli was held in August of 1991 and was sponsored by the
Transportation Research Board. Both of these symposia were well attended, and showed that
there was a strong interest within the transportation community in the area of NDT and the use
of deflection data for evaluating and designing pavement structures. Unfortunately, these two
symposia also showed that the industry was divided regarding the adequacy and use of stateof-the-art evaluation procedures for determining structural capacity of pavement structures.
As a result of the first symposium in 1988, ASTM Subcommittees D18.10 and D04.39 have
been extensively involved in the preparation of standardized procedures for NDT and the
evaluation of deflection data. Standardized procedures have been prepared and approved for
collecting deflection data with different devices. These are listed below for reference purposes:
D 4602 Standard Guide for Nondestructive Testing of Pavements Using Cyclic Loading
Dynamic Deflection Equipment
D 4694 Standard Test Method for Deflections with a Falling-Weight-Type Impulse Load
Device
D 4695 Standard Guide for General Pavement Deflection Measurements
The task of standardizing backcalculation procedures, however, has been more difficult,
because of the diversity of opinions and procedures currently in use by the transportation
industry. The first draft of a standard guide for backcalculation of layer moduli from deflection
measurements was balloted in 1986. The latest draft balloted in 1992 received numerous negative ballots that were found to be persuasive. More recently, there have been numerous research projects completed by individual transportation agencies and as part of the Strategic
Highway Research Program (SHRP).
With these recent advancements and the need to develop concurrence within the transportation industry to develop a standardized evaluation procedure, Subcommittees D18.10 and
D04.39 suggested to the Executive Committees that ASTM sponsor the second International
Symposium on Nondestructive Testing of Pavements and Backcalculation of Moduli. This
Second International Symposium was held in Atlanta, Georgia in June, 1993. The attendance
at this symposium exceeded 80, representing 12 different countries and 25 states in the United
States. An attendance list is included at the end of this publication.
The symposium was divided into four sessions (two sessions per day) and one panel workshop or discussion on issues related to standardization of backcalculation procedures. The
papers presented at this Second International Symposium focused in the area of backcalculation
of layer moduli techniques and comparisons of material moduli as measured in the laboratory
to values calculated from field deflection measurements. Information from these papers and
discussion were used to establish whether a backcalculation procedure could be standardized
based upon the current state-of-the-art technology. The format of the presentations was divided
into four sessions followed by a panel discussion. Each of the sessions were subdivided into
two parts as follows:
ix
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SESSION 1DAnalytical Models and Techniques for Backcalculation of Layer Moduli (5
Papers).
Chairman--Dr. Albert J. Bush III, U.S. Army Corps of Engineers, Waterways Experiment
Station, Vicksburg, MS.
Part 1 of Session 1: Recent Developments and Tools to be Used in the Future for
Evaluating Pavements Based on Backcalculation Techniques (2 Papers).
Keynote Speaker--Dr. Jacob Uzan, Professor, Israel Institute of Technology (Technion),
Israel, "Advanced Backcalculation Techniques."
Part 2 of Session 1: Methods and Procedures Used for Backcalculation of Material and
Pavement Properties (4 Papers).
SESSION 2DMeasurement and Calculation Techniques in the Field and Laborator~
Chairman--Mr. Harold L. Von Quintus, President, Brent Rauhut Engineering Inc., Austin,
TX.
Part 1 of Session 2: Verification of backcalculation techniques and comparisons of
laboratory measured values with those calculated from field measurements or deflections
(4 papers).
Part 2 of Session 2: Characterization of Pavement Materials and the Effects of Non
Linearity on Backcalculation of Layer Moduli (4 papers).
SESSION 3--NDT for Pavement Structural Evaluation, Design and Rehabilitation.
Chairman--Dr. Albert J. Bush III, U.S. Army Corps of Engineers, Waterways Experiment
Station, Vicksburg, MS.
Part 1 of Session 3: Problems/errors associated with backcalculation methods in terms
of pavement evaluation, and backcalculation of design parameters for concrete pavements (4 papers).
Part 2 of Session 3: Analysis of deflection measurements and effects of load distributions
on pavement response (4 papers).
SESSION 4---NDT for Other Pavement Uses: Use of the Results From NDT to Determine
Layer Thickness, Joint Efficiency, and Void Detection (5 Papers).
Chairman--Dr. Gilbert Y. Baladi, Professor, Michigan State University, East Lansing,
MI.
SESSION 5--Panel Discussion on Backcalculation of Layer Moduli
Chairman--Dr. Gilbert Y. Baladi, Professor, Michigan State University, East Lansing,
MI.
Discussion paper presented by Richard May, Asphalt Institute, Lexington, KY and
Harold L. Von Quintus, Brent Rauhut Engineering, Austin, TS entitled "The Quest for
a Standard Guide to NDT Backcalculation".
Panel participants: Dr. Albert J. Bush III., U.S. Army of Engineers, Waterways Experiment Station, Vicksburg, MS. Dr. Jacob Uzan, Israel Institute of Technology (Technion), Israel; Richter, Federal Highway Administration, Turner Fairbanks, Washington,
DC; Dr. Ullditz, Technical University of Denmark, Denmark, and Luckanen, Braun
Intertec, Minneapolis, MN.
Papers m this STP are presented on those topics in the four sessions listed previously. These
papers include examples of different backcalculation of layer moduli procedures, comparisons
X
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between laboratory measured and field calculated values, as well as, the more common examples on the use of deflection testing to evaluate pavement structures. The papers published
represent eight different countries, eleven different states, and thirteen different educational
agencies. It is the hope of the organizers of this symposium that the papers presented will
provide the readers with much of the latest information in the areas of pavement evaluation
using NDT techniques, and application of that data for use in pavement design.
One of the goals and objectives of this symposium was to determine if the industry could
find a common ground to standardize a backcalculation procedure. In specific, this was the
focus of the panel discussion at the end of the symposium. This panel discussion was preceded
by a paper entitled "The Quest for a Standard Guide to NDT Backcalculation" (presented by
Mr. Richard May) and a presentation by Dr. Albert Bush (Symposium Cochairman and D4.39
Subcommittee Chairman) entitled "Where We Go From Here."
From the question and answers during the panel discussion, it was the general consensus
that backcalculation of layer moduli from deflection measurements will definitely be used in
the future for the rehabilitation design and evaluation of pavement structures. The question
however, is still: what is the reliability of these values? Specifically, it was the general consensus
of the panel and attendees that the accuracy of backcalculated moduli is model dependent and
unknown, as well as those values measured in the laboratory because there is a diversity of
opinion on the simulation of field conditions in the laboratory. For example, there is controversy
within the industry on whether backcalculation procedures should be based on a dynamic or
static analysis, and what values actually represent the "truth," both in the laboratory or from
field measurements.
In summary, most participants, concurred that there needs to be a standard "baseline" of
values from which to compare on a project, material, or pavement bases, and that one should
not become paralyzed by the imperfection of the procedures. More importantly, research must
be merged into practice on a consistent basis and one way to accomplish this is through the
standardization process. As such, a procedure needs to be standardized and that procedure
should concentrate on user oriented issues. Thus, the editors, panel, as well as most symposium
participants involved in these discussions, believe that some standardized procedure should be
pursued to ensure that a common set of values can be compared.
The editors wish to thank all those who participated in this symposium and who contributed
to this STP. Special thanks are given to the authors, the reviewers of the papers, ASTM Committees D18 and D4 for sponsoring the symposium, and to the members of Subcommittees
D18.10 and D04.39 for their valuable input and efforts. Last but not least, the editors would
like to express their deep appreciation to the ASTM staff for their assistance in preparing for
this symposium and in its preparation. The high professional quality of ASTM publications
would not be possible without their dedicated and professional efforts.
Dr. Albert J. Bush III
U.S. Army Corps of Engineers, Waterways
Experiment Station, Vicksburg, MS; symposium
cochairman and coeditor.
Mr. Harold L. Von Quintus
President, Brent Rauhut Engineering, Austin, Texas,
symposium cochairman and editor
Dr. Gilbert Y. Baladi
Professor of Civil Engineering, Michigan State
University, East Lansing, Michigan, symposium
cochairman and coeditor
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Analytical Models and Techniques
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Jacob Uzan ~
ADVANCED BACKCALCULATION TECHNIQUES
REFERENCE: Uzan, J., "Advanced Backcalculation Techniques,"
Nondestructive Testin~ of Pavements and Backcalculation of ~odu~i
(Second Volume~. ASTM STP 1198, Harold L. Von Quintus, Albert J.
Bush, III, and Gilbert Y. Baladi, Eds., American Society for
Testing and Materials, Philadelphia, 1994.
ABSTRACT: The backcalculation procedures are separated into five
categories; (a) static linear elastic, (b) static nonlinear elastic, (c)
dynamic linear using frequency domain fitting, (d) dynamic linear using
time domain fitting and (e) dynamic nonlinear analysis. In this paper
each category is described and case studies are presented comparing
their results. Advanced techniques require more complete material
characterization models. In the nonlinear elastic procedure a universal
k I - ~ model (an extension of the bulk modulus model) is used. In the
dynamic analysis technique a generalized power law relationship is used
for the asphaltic layer. Two case studies are presented. In the first
the nonlinear elastic scheme was found to give excellent results at
matching deflection bowls at four different load levels for each of two
test sites analyzed. In these analyses only the k I of the k I - ~ model
was backcalculated. It was found that the backcalculated k I in all
layers including the asphalt concrete are larger than those measured in
the laboratory. In the second case study dynamic analysis techniques are
applied to full wave shape data obtained from the SHRP data base. Both
the frequency and time domain procedures are shown to yield reasonable
results.
KEYWORDS: linear, nonlinear, dynamic backcalculation, elastic and
viscoelastic material, flexible pavements
INTRODUCTION
Backcalculation of moduli of pavement material, is nowadays widely
used for structural evaluation and rehabilitation. The number of
existing procedures and computer programs for this purpose are
relatively large (Rada et al. 1992). Moreover different modulus values
may be obtained from these different programs (Lytton 1989; Chou and
Lytton 1991). This indicates that backcalculation is very sensitive to
I Associate Professor of Civil Engineering, TECHNION, Israel Institute
of Technology, Haifa, Israel 32000
3
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4 NONDESTRUCTIVE TESTING: SECOND VOLUME
the kind of analysis and assumptions underlying the analysis. It is the
intent of the paper to present a synthesis of the backcalculation
procedures and a discussion of their limitations.
All backcalculation procedures use error minimization techniques
to minimize either the absolute or the squared error, with or without
weighing factors. The most common backcalculation procedure is based on
static loading type of analysis and linear elastic material response.
However, most of the loading devices apply either a vibratory load or an
impact load. Also, the pavement materials are in most cases far from
being linear elastic. In recognition of these conditions, the need for
applying more advanced techniques using nonlinear and dynamic analysis
is becoming stronger everyday. Researchers and engineers are more aware
of the badness (not goodness) of fit, and of assumptions leading to
large errors in the fit. This paper presents the author's evaluation of
these advanced techniques and recommendations for future work. However,
it should be kept in mind that these analysis procedures are not
currently ready to be implemented due to the lack of knowledge on the
behavior of the pavement materials and to the lack of confidence in the
accuracy of the time history deflection bowls. A section of the paper
will be devoted to discuss the material characterization most
appropriate for backcalculation.
Examples are presented to illustrate the procedures developed.
These are based on data collected using Falling Weight Deflectometer
(FWD) equipment. The procedures work with relatively low frequency
components (such as those induced under both FWD and truck loading).
They do not include high frequency loading procedures such as spectral
analysis of surface waves (SASW).
BACKCALCULATION CATEGORIES
The backcalculation procedures can be separated into several
categories, depending on the type of load representation - static versus
dynamic and on the type of material characterization - linear versus
nonlinear for elastic, viscoelastic and/or plastic materials. A
discussion of each is presented below. All backcalculation procedures
use error minimization techniques to minimize either the absolute or the
squared error, with or without weighing factors.
Static Linear Backcaleulation
In the simplest case which is widely used today, the load is
assumed to be static and the material is assumed to be linear elastic.
In this case only the peak load and peak surface response deflections
are used in the backcalculations (Figure la). The problem reduces to
finding the unit response of the pavement that will correspond to the
measured response. The unit response of the pavement is computed using
appropriate computer programs for linear elastic multi-layer systems.
The unit response is defined by the set of moduli of the pavement
layers. Therefore, the problem is reduced again to finding the set of
moduli that produces a unit pavement response close to the measured one.
When several load levels are applied in the test, each load level
is analyzed separately and separate sets of moduli are obtained. The
procedures for backcalculation using the above scheme are numerous.
However, most have two essential differences. These differences are: (I)
the forward computation of the unit response which are based on
numerical integration (such as Peutz et al. 1968; BISAR User's Manual
1972; WESLEA - Van Cauwelaert et al. 1989) or some approximation (such
as the Method cf Equivalent Thickness MET - Ullidtz 1977; Lytton 1989),
and (2) the error minimization scheme. These differences can lead to
different backcalculated moduli. However, when both the forward
computation programs and the minimization schemes are correct, the
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Linear Ela~%!ic - Static
Given:
Peak applied load I = max P
Peak surface deflections R = max d k
(k= number of sensors )
Find:
Hk(E) such as
max d k • Hk(E ) * max P
N n~J[l~ar_E/astic - Static
Given:
Peak applied loads I = max Pj
Peak surface deflections R = max dkj
( k= number of sensors )
( j= number of load levels)
Find:
Hk(E) such as
max d~ = Hk(E ) * max Pj
Linear - Dynam~
~torv load
_Given:
Load functions I = P exp(iwt)
Deflection functions R = d k exp(iwt+&k)
( k= number o/sensors )
Find:
Hk(E*) such as
R ~- Hk(E')* I
(a) {b) {cJ
FIG. 1 a-c-- Backcalculation schemes (a) linear elastic (b) nonlinear elastic and
(c) dynamic for steady state vibratory load
c
N
>
Z
0
Z
>
z
0
m
>
g
tO
E
-I
2:
(71
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6 NONDESTRUCTIVE TESTING: SECOND VOLUME
backcalculated moduli are in general similar (Lytton 1989). It is worth
mentioning that the emphasis is on the correctness of the computation,
not on the ease or speed of computation. For example, the use of MET
may in some cases (for example, for varying, decreasing and increasing
moduli with depth) may lead to an unacceptable error in the forward
computation of the response of the pavement, and thus in the
backcalculation.
Static, Nonlinear Backcalculation
In the static, non-linear elastic backcalculation, only the peaks
of the loads and surface deflections are used (Figure ib). In contrast
with the linear scheme, all load level~ are used simultaneously. In
other words, the problem is to find the response function of the
pavement that will correspond to the measured response at all load
levels. The unit response is defined by the set of material parameters
and is usually computed using Finite Element (FE) computer programs
(Uzan and Scullion 1990). The material characterization is of prime
importance in this category of backcalculation and will be discussed in
a separate section. There is only one such computer program for nonlinear elastic backcalculation developed by the writer. Results of
analysis with this program will be presented later. However, other
computer programs using linear elastic multi-layer systems and different
kinds of approximations exist and are rather widely used (ELMOD -
Ullidtz 1977; PADAL - Brown et al. 1987; MODCOMP - Irwin and Szebenyi
1991; FWDCHECK - PCS/Law Engineering 1990). These programs incorporate
an inter-relationship between surface deflection at a particular radial
location on a deflection bowl and the elastic stiffness of a particular
pavement layer. It is difficult to evaluate the correctness of these
programs, because they are not truly non-linear analyses. Moreover,
they do not represent true pavement materials because they do not
account for dilation and lack of tensile strength effects whenever these
conditions prevail.
The non-linear elastic backcalculation still assumes that the
permanent deformation is small compared to the resilient one. In other
words, the state of stress within the pavement structure is low relative
to the ultimate strength. This situation applies to pavements with a
moderate to thick AC layer, not with thin surfacing of less than 50 mm
(2 inches). In these cases of thin pavements and/or relatively heavy
applied loads, the non-linear elastic theory should be replaced by the
non-linear elasto-plastic theory. This will account for any permanent
deformation and stress redistribution caused during loading as compared
to the elastic behavior. It must be noted that the response function of
the pavement depends on both the non-linear elastic and the plastic
parameters. The number of parameters may become too large to be
resolved by the backcalculation procedure alone, and additional
information concerning the material properties must be supplied before
the analysis is initiated.
Dynamic Linear Backcaloulation
The dynamic backcalculation applies to the NDT equipment that
apply either a steady state vibratory load or an impact load. In the
case of steady state vibratory load with a finite number of frequencies,
the problem is reduced to finding the unit response of the pavement that
will correspond to the measured response (Figure lc). The unit response
is defined by the set of complex moduli of the pavement layers.
Therefore, the problem is reduced again to finding the set of complex
moduli (or viscoelastic parameters) that produces a unit response close
to the measured one.
When several responses at different frequencies are measured, each
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