Nothing
#' Estimates of material properties by Time-Temperature Superposition (TTS)
#' analysis
#'
#' TTS analysis is often applied to frequency modulated data obtained by
#' Dynamic Mechanic Analysis (DMA) and Rheometry in the analytical chemistry
#' and physics areas. These techniques provide estimates of material
#' mechanical properties (such as moduli) at different temperatures in a wider
#' range of time. This package provides the Time-Temperature superposition
#' Master Curve at a referred temperature by the three methods: the two wider
#' used methods, Arrhenius based methods and WLF, and the newer methodology
#' based on derivatives procedure. The Master Curve is smoothed by B-splines
#' basis. The package output is composed of plots of experimental data,
#' horizontal and vertical shifts, TTS data, and TTS data fitted using
#' B-splines with bootstrap confidence intervals.
#'
#' \tabular{ll}{ Package: \tab TTS\cr Type: \tab Package\cr Version: \tab
#' 1.0\cr Date: \tab 2023-02-24\cr License: \tab GPL >= 2\cr } The main
#' functions and data frame are \code{TTS}, \code{PLOT.TTS} and \code{PC}
#'
#' @name TTS-package
#' @docType package
#' @author Antonio Meneses \email{antoniomenesesfreire@@hotmail.com}, Salvador
#' Naya \email{salva@@udc.es} and Javier Tarrio-Saavedra
#' \email{jtarrio@@udc.es}\cr
#'
#' Maintainer: Antonio Meneses \email{antoniomenesesfreire@@hotmail.com}
#' @import mgcv
#' @import sfsmisc
#' @import splines
#' @importFrom grDevices colors
#' @importFrom graphics abline legend lines plot points
#' @importFrom stats lm predict quantile resid rnorm sd spline
#' @references Naya, S., Meneses A., Tarrio-Saavedra, J., Artiaga R.,
#' Lopez-Beceiro, J. and Gracia-Fernandez C. (2013) New method for estimating
#' shift factors in time-temperatura superposition models. Journal of Thermal
#' Analysis and Calorimetry. ISSN 1388-6150. DOI 10.1007/s10973-013-3193-1.\cr
#'
#' Williams, M. L. (1964) Structural analysis of Viscoelastic materials. AIAA
#' Journal, 785-808.\cr
#'
#' Zou, J., You F., Su L., Yang Z., Chen G. and Guo S. (2011). Failure
#' Mechanism of Time-Temperature Superposition for Poly(vinyl
#' chloride)/Dioctylphthalate (100/70) System. DOI 10.1002/app.35113.\cr
#'
#' Ferry J.D. (1980) Viscoelastic Properties of Polymers, Wiley: New York.\cr
#'
#' Artiaga R., Garcia A. Fundamentals of DMA. In: 'Thermal analysis.
#' Fundamentals and applications to material characterization' (ed.: Artiaga
#' R.) Publicaciones de la Universidade da Coruna, A Coruna, Spain, 183-206
#' (2005).\cr
#'
#' Chartoff R.P., Menczel J.D., Dillman S.H. Dynamic mechanical analysis
#' (DMA). In: 'Thermal analysis of polymers. Fundamentals and applications'
#' (eds.: Menczel J.D., Prime R.B.) Wiley, San Jose, 387-496 (2009).\cr
#' @keywords package
NULL
#' Dataset obtained from polycarbonate (polymer) tests using Dynamic
#' Mechanical Analysis (DMA)
#'
#' PC contains 49 rows and 3 columns.
#'
#' The dataset corresponds to the storage modulus viscoelastic property of
#' different specimens of polycarbonate (PC) and obtained by DMA using TA
#' Instruments Q800 (Naya et al., 2013).
#'
#' @name PC
#' @docType data
#' @format This data frame is composed of the following columns:
#' @format A data frame with XXX observations on the following 3 variables:
#' \describe{
#' \item{log10.frequency}{It accounts for seven different frequencies
#' (rad/s) in logarithmic scale for each temperature (overall 49).}
#' \item{log10.module}{It accounts for seven different storage
#' modulus, E' (Pa), in base-ten logarithmic scale for each temperature
#' (overall 49).}
#' \item{temperature}{Seven different temperatures:
#' 147, 148, 149, 150, 151, 152, 153 degrees celsius, each one with the
#' corresponding seven values of frequency and storage modulus (overall 49).}
#' }
#' @source Naya, S., Meneses A,. Tarrio-Saavedra, J,. Artiaga R.,
#' Lopez-Beceiro, J. and Gracia-Fernandez C. (2013) New method for estimating
#' shift factors in time-temperatura superposition models. Journal of Thermal
#' Analysis and Calorimetry. ISSN 1388-6150. DOI 10.1007/s10973-013-3193-1.
#' @keywords datasets
#' @examples
#'
## library(TTS)
#' data(PC)
#'
NULL
#' Dataset obtained from creep tests of an epoxy based composite by using
#' Dynamic Mechanical Thermal Analysis (DMTA)
#'
#' Epoxy is a dataset composed of 273 rows and 3 columns that describes the
#' performance of an epoxy resin based composite in a creep type test. This
#' type of laboratory experimental procedure is defined by the application of a
#' constant stress, \eqn{\sigma}, and the measuring of the strain, \eqn{\varepsilon (t)},
#' or compliance, \eqn{J(t)= \varepsilon (t) / \sigma} (in the present case) as#'the response variable.
#' The experimental tests are made by Dynamic Mechanical Thermal Analysis (DMTA)
#' technique, using a 3 point bending configuration with the following
#' features: Clamp, 3-Point Bending; Geometry, Rectangular; Size: length of 20
#' mm, width of 5.55 mm, and thickness of about 0.85 mm.
#'
#' The dataset includes the measurements of the compliance property depending
#' on the time and corresponding to different specimens of an epoxy resin based
#' composite. All the observations were obtained by the application of the DMTA
#' experimental technique. The application of the TTS principle to creep tests
#' is becoming more and more common. Creep test provides information about the
#' deformation of a material subjected to a constant load. This test is in
#' accordance with many real applications such as the performance of shoe
#' insoles, structural materials, asphalt, etc. In this framework, TTS provides
#' the degree of the deformation of the material at an extended range of times,
#' when this material is subjected to a constant load. Therefore, TTS is
#' becoming increasingly useful in studies of material degradation and lifetime
#' estimation. The use of the TTS principle with creep tests usually provides
#' smoother master curves since each curve is usually defined by a larger
#' number of experimental observations than, for example, modulus curves as a
#' function of frequency.
#'
#' @name Epoxy
#' @docType data
#' @format This data frame is composed of the following columns:
#' \describe{
#' \item{Log10_time}{It accounts for 39 different times from 2 s to
#' 3599 s, in logarithmic scale for each one of the 7 studied temperatures
#' (overall 273 observations).}
#' \item{Log10_Compliance}{It accounts for
#' 39 different values for the compliance, J (MPa-1), for each one of the 7
#' studied temperatures, in base-ten logarithmic scale. }
#' \item{Temperature}{It is the variable that shows the temperature at
#' which the measurements of compliance are experimentally obtained, namely 30,
#' 40, 50, 60, 70, 80, and 90 Celsius degrees.} }
#' @source
#'
#' Janeiro-Arocas, J., Tarrío-Saavedra, J., López-Beceiro, J., Naya, S.,
#' López-Canosa, A., Heredia-García, N., and Artiaga, R. (2016). Creep
#' analysis of silicone for podiatry applications. Journal of the Mechanical
#' Behavior of Biomedical Materials, 63, 456-469. DOI
#' 10.1016/j.jmbbm.2016.07.014.
#'
#' Naya, S., Meneses A,. Tarrio-Saavedra, J,. Artiaga R., Lopez-Beceiro, J. and
#' Gracia-Fernandez C. (2013) New method for estimating shift factors in
#' time-temperatura superposition models. Journal of Thermal Analysis and
#' Calorimetry. ISSN 1388-6150. DOI 10.1007/s10973-013-3193-1.
#' @keywords datasets
#' @examples
#'
#' data(Epoxy)
#'
NULL
#' Dataset obtained from creep tests of styrene-butadiene-styrene (SBS)
#' composite by using Dynamic Mechanical Thermal Analysis (DMTA)
#'
#' SBS is a dataset composed of 195 rows and 3 columns that describes the
#' performance in the framework of a creep test of a styrene-butadiene-styrene
#' (SBS) composite. The creep tests are defined by the application of a
#' constant stress, \eqn{\sigma}, and the measuring of the strain, \eqn{\varepsilon (t)},
#' or compliance, \eqn{J(t)= \varepsilon (t) / \sigma} (in the present case), as
#' the response variable. The
#' experimental tests are made by Dynamic Mechanical Thermal Analysis (DMTA)
#' technique, using a 3 point bending configuration with the following
#' features: Clamp, 3-Point Bending; Geometry, Rectangular; Size: length of 20
#' mm, width of 5.54 mm, and thickness of about 3.87 mmm.
#'
#' The dataset corresponds to the measure of the compliance property (with
#' respect to the time) of different specimens of a SBS composite. The
#' measurements were obtained by DMTA experimental technique.
#'
#' The application of the TTS principle to creep tests is becoming more and
#' more common. Creep test provides information about the deformation of a
#' material subjected to a constant load. This test is in accordance with many
#' real applications such as the performance of shoe insoles, structural
#' materials, asphalt, etc. In this framework, TTS provides the degree of the
#' deformation of the material at an extended range of times, when this
#' material is subjected to a constant load. Therefore, TTS is becoming
#' increasingly useful in studies of material degradation and lifetime
#' estimation. The use of the TTS principle with creep tests usually provides
#' smoother master curves since each curve is usually defined by a larger
#' number of experimental observations than, for example, modulus curves as a
#' function of frequency.
#'
#' @name SBS
#' @docType data
#' @format This data frame is composed of the following columns:
#' \describe{
#' \item{Log10_time}{It accounts for 39 different times from 2 s to
#' 3600 s, in logarithmic scale for each one of the 5 studied temperatures
#' (overall 195 observations).}
#' \item{Log10_Compliance}{It accounts for
#' 39 different values for the compliance, J (MPa-1), for each one of the 5
#' studied temperatures, in base-ten logarithmic scale.}
#' \item{Temperature}{It is the variable that shows the temperature at
#' which the measurements of compliance are experimentally obtained, namely 40,
#' 50, 60, 70, and 80 Celsius degrees.} }
#' @source
#'
#' Janeiro-Arocas, J., Tarrío-Saavedra, J., López-Beceiro, J., Naya, S.,
#' López-Canosa, A., Heredia-García, N., and Artiaga, R. (2016). Creep
#' analysis of silicone for podiatry applications. Journal of the Mechanical
#' Behavior of Biomedical Materials, 63, 456-469. DOI
#' 10.1016/j.jmbbm.2016.07.014.
#'
#' Naya, S., Meneses A,. Tarrio-Saavedra, J,. Artiaga R., Lopez-Beceiro, J. and
#' Gracia-Fernandez C. (2013) New method for estimating shift factors in
#' time-temperatura superposition models. Journal of Thermal Analysis and
#' Calorimetry. ISSN 1388-6150. DOI 10.1007/s10973-013-3193-1.
#' @keywords datasets
#' @examples
#'
#' data(SBS)
#'
NULL
Any scripts or data that you put into this service are public.
Add the following code to your website.
For more information on customizing the embed code, read Embedding Snippets.