We present a phenomenological three-dimensional (3D) nonlinear viscoelastic constitutive model for time-dependent analysis. Based on Schapery's single integral constitutive law, a solution procedure has been provided to solve nonlinear viscoelastic behavior. This procedure is applicable to 3D problems and uses time- and stress-dependent material properties to characterize the nonlinear behavior of material. The equations describing material behavior are chosen based on the measured material properties in a short test time frame. This estimation process uses the Prony series material parameters, and the constitutive relations are based on the nonseparable form of equations. Material properties are then modified to include the long-term response of material. The presented model is suitable for the development of a unified computer code that can handle both linear and nonlinear viscoelastic material behavior. The proposed viscoelastic model is implemented in a user-defined material algorithm in abaqus (UMAT), and the model validity is assessed by comparison with experimental observations on polyethylene for three uniaxial loading cases, namely short-term loading, long-term loading, and step loading. A part of the experimental results have been conducted by (Liu, 2007, “Material Modelling for Structural Analysis of Polyethylene,” M.Sc. thesis, University of Waterloo, Waterloo, ON Canada), while the rest are provided by an industrial partner. The research shows that the proposed finite element model can reproduce the experimental strain–time curves accurately and concludes that with proper material properties to reflect the deformation involved in the mechanical tests, the deformation behavior observed experimentally can be accurately predicted using the finite element simulation.
Skip Nav Destination
Article navigation
October 2018
Research-Article
Constitutive Equations and Finite Element Implementation of Isochronous Nonlinear Viscoelastic Behavior
Hossein Sepiani,
Hossein Sepiani
Civil and Environmental Engineering Department,
University of Waterloo,
Waterloo, ON N2L 3G1, Canada
e-mail: hasepian@uwaterloo.ca
University of Waterloo,
Waterloo, ON N2L 3G1, Canada
e-mail: hasepian@uwaterloo.ca
Search for other works by this author on:
Maria Anna Polak,
Maria Anna Polak
Civil and Environmental Engineering Department,
University of Waterloo,
Waterloo, ON N2L 3G1, Canada
e-mail: polak@uwaterloo.ca
University of Waterloo,
Waterloo, ON N2L 3G1, Canada
e-mail: polak@uwaterloo.ca
Search for other works by this author on:
Alexander Penlidis
Alexander Penlidis
Department of Chemical Engineering,
University of Waterloo,
Waterloo, ON N2L 3G1, Canada
e-mail: penlidis@uwaterloo.ca
University of Waterloo,
Waterloo, ON N2L 3G1, Canada
e-mail: penlidis@uwaterloo.ca
Search for other works by this author on:
Hossein Sepiani
Civil and Environmental Engineering Department,
University of Waterloo,
Waterloo, ON N2L 3G1, Canada
e-mail: hasepian@uwaterloo.ca
University of Waterloo,
Waterloo, ON N2L 3G1, Canada
e-mail: hasepian@uwaterloo.ca
Maria Anna Polak
Civil and Environmental Engineering Department,
University of Waterloo,
Waterloo, ON N2L 3G1, Canada
e-mail: polak@uwaterloo.ca
University of Waterloo,
Waterloo, ON N2L 3G1, Canada
e-mail: polak@uwaterloo.ca
Alexander Penlidis
Department of Chemical Engineering,
University of Waterloo,
Waterloo, ON N2L 3G1, Canada
e-mail: penlidis@uwaterloo.ca
University of Waterloo,
Waterloo, ON N2L 3G1, Canada
e-mail: penlidis@uwaterloo.ca
Contributed by the Materials Division of ASME for publication in the JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY. Manuscript received August 2, 2017; final manuscript received April 8, 2018; published online May 10, 2018. Assoc. Editor: Curt Bronkhorst.
J. Eng. Mater. Technol. Oct 2018, 140(4): 041004 (11 pages)
Published Online: May 10, 2018
Article history
Received:
August 2, 2017
Revised:
April 8, 2018
Citation
Sepiani, H., Polak, M. A., and Penlidis, A. (May 10, 2018). "Constitutive Equations and Finite Element Implementation of Isochronous Nonlinear Viscoelastic Behavior." ASME. J. Eng. Mater. Technol. October 2018; 140(4): 041004. https://doi.org/10.1115/1.4040003
Download citation file:
Get Email Alerts
Cited By
Investigations on Formability Enhancement of Friction Stir Tailor Welded Blanks
J. Eng. Mater. Technol
Blast Mitigation Using Monolithic Closed-Cell Aluminum Foam
J. Eng. Mater. Technol (April 2025)
Related Articles
Characteristic Volume Element for Randomly Particulate Magnetoactive Composites
J. Eng. Mater. Technol (January,2018)
Application of Noninteraction Constitutive Models for Deformation of IN617 Under Combined Extreme Environments
J. Eng. Mater. Technol (October,2018)
Verification of a Thermoviscoplastic Constitutive Relation for Brass Material Using Taylor's Test
J. Eng. Mater. Technol (October,2015)
Nonlinear Viscoelastic Constitutive Model for Thermoset Polymers
J. Eng. Mater. Technol (October,2006)
Related Proceedings Papers
Related Chapters
Introduction to Stress and Deformation
Introduction to Plastics Engineering
Models for Solid Materials
Introduction to Plastics Engineering
Analysis of Components: Strain- and Deformation-Controlled Limits
Design & Analysis of ASME Boiler and Pressure Vessel Components in the Creep Range