Search Menu
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information
Search Scholarly Publications

Title: Effective Thermoelasticity of Polymer-Bonded Particle Composites with Imperfect Interfaces and Thermally Expansive Interphases

Abstract

A micromechanical model for the thermoelasticity of polymer-bonded composites is presented. The model is particularly aimed at describing materials where the polymeric binder phase undergoes non-negligible thermal expansion affecting the overall thermoelastic response. Constitutive choices for modeling a mixed binder-void interphase layer are proposed, and an associated decomposition of total eigenstrains into classical, elastic imperfection (damage), and binder thermal expansivity parts is examined within the context of imperfect inter-particle interfaces. A novel temperature dependent modified Eshelby tensor is identified, making possible the development of a temperature dependent modified self-consistent homogenization scheme—what we call the M θ-SCH model. A method for distinguishing between dispersed and isolated parts of the binder and void phases in the model is also provided, along with a description of particle coating (or interphase) thickness derived from particle morphology and mesoscale effective properties. Finally, although the theory is general, its development is motivated by the need to model anisotropic and highly nonlinear observed thermal expansion behavior of the polymer bonded explosive PBX 9502, for which model simulations are performed and compared with existing measurements.

Authors:
 [1];  [1]
+ Show Author Affiliations
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1481140
Report Number(s):
LA-UR-17-31014
Journal ID: ISSN 0374-3535
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Elasticity
Additional Journal Information:
Journal Volume: 13; Journal Issue: 1; Journal ID: ISSN 0374-3535
Publisher:
Springer
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; Polymeric; Coated-inclusion; Multiphase-Composite; Micromechanics; Homogenization; Thermoelasticity; Self-consistent homogenization; PBX 9502

Citation Formats

Bennett, Kane C., and Luscher, Darby J. Effective Thermoelasticity of Polymer-Bonded Particle Composites with Imperfect Interfaces and Thermally Expansive Interphases. United States: N. p., 2018. Web. doi:10.1007/s10659-018-9688-z.
Copy to clipboard
Bennett, Kane C., & Luscher, Darby J. Effective Thermoelasticity of Polymer-Bonded Particle Composites with Imperfect Interfaces and Thermally Expansive Interphases. United States. https://doi.org/10.1007/s10659-018-9688-z
Copy to clipboard
Bennett, Kane C., and Luscher, Darby J. Mon . "Effective Thermoelasticity of Polymer-Bonded Particle Composites with Imperfect Interfaces and Thermally Expansive Interphases". United States. https://doi.org/10.1007/s10659-018-9688-z. https://www.osti.gov/servlets/purl/1481140.
Copy to clipboard
@article{osti_1481140,
title = {Effective Thermoelasticity of Polymer-Bonded Particle Composites with Imperfect Interfaces and Thermally Expansive Interphases},
author = {Bennett, Kane C. and Luscher, Darby J.},
abstractNote = {A micromechanical model for the thermoelasticity of polymer-bonded composites is presented. The model is particularly aimed at describing materials where the polymeric binder phase undergoes non-negligible thermal expansion affecting the overall thermoelastic response. Constitutive choices for modeling a mixed binder-void interphase layer are proposed, and an associated decomposition of total eigenstrains into classical, elastic imperfection (damage), and binder thermal expansivity parts is examined within the context of imperfect inter-particle interfaces. A novel temperature dependent modified Eshelby tensor is identified, making possible the development of a temperature dependent modified self-consistent homogenization scheme—what we call the M θ-SCH model. A method for distinguishing between dispersed and isolated parts of the binder and void phases in the model is also provided, along with a description of particle coating (or interphase) thickness derived from particle morphology and mesoscale effective properties. Finally, although the theory is general, its development is motivated by the need to model anisotropic and highly nonlinear observed thermal expansion behavior of the polymer bonded explosive PBX 9502, for which model simulations are performed and compared with existing measurements.},
doi = {10.1007/s10659-018-9688-z},
journal = {Journal of Elasticity},
number = 1,
volume = 13,
place = {United States},
year = {Mon Sep 17 00:00:00 EDT 2018},
month = {Mon Sep 17 00:00:00 EDT 2018}
}
Copy to clipboard
Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1007/s10659-018-9688-z
Copyright Statement
Other availability
Search WorldCat Search WorldCat to find libraries that may hold this journal
Citation Metrics:
Cited by: 9 works
Citation information provided by
Web of Science

Figures / Tables:

Fig. 1 Fig. 1: Slice through theoretical REV showing example interphase around a particle attributed to local porosity and binder interphase (dashed line).
All figures and tables (15 total)
Save / Share:
Export Metadata
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.

Works referenced in this record:

On the mechanical energy and effective stress in saturated and unsaturated porous continua
journal, March 2006

Solutions for effective shear properties in three phase sphere and cylinder models
journal, August 1979

Self-consistent modeling of the influence of texture on thermal expansion in polycrystalline TATB
journal, September 2014

  • Luscher, D. J.; Buechler, M. A.; Miller, N. A.
  • Modelling and Simulation in Materials Science and Engineering, Vol. 22, Issue 7
  • DOI: 10.1088/0965-0393/22/7/075008

Double-inclusion model and overall moduli of multi-phase composites
journal, January 1993

The overall elastic response of materials containing coated inclusions in a periodic array
journal, May 1998

Finite strain elastoplasticity considering the Eshelby stress for materials undergoing plastic volume change
journal, February 2016

Acoustic properties of Kel F-800 copolymer up to 85 GPa
journal, July 2012

  • Benjamin, Ari S.; Ahart, Muhtar; Gramsch, Stephen A.
  • The Journal of Chemical Physics, Vol. 137, Issue 1
  • DOI: 10.1063/1.4731706

On interfacial discontinuities in elastic composites
journal, November 1975

A self-consistent mechanics of composite materials
journal, August 1965

Poroelastic Properties of a Nanoporous Granular Material with Interface Effects
journal, September 2015

A Circular Inclusion With Imperfect Interface: Eshelby’s Tensor and Related Problems
journal, December 1995

Synthesis and Characterization of Ultrafine TATB
journal, September 2007

  • Nandi, A. K.; Kasar, S. M.; Thanigaivelan, U.
  • Journal of Energetic Materials, Vol. 25, Issue 4
  • DOI: 10.1080/07370650701567066

Hyper-elastoplastic/damage modeling of rock with application to porous limestone
journal, June 2018

Growth of 1,3,5-Triamino-2,4,6-trinitrobenzene (TATB) I. Anisotropic thermal expansion
journal, March 1979

Eshelby Tensor for an Elastic Inclusion With Slightly Weakened Interface
journal, December 1993

Stationary variational estimates for the effective response and field fluctuations in nonlinear composites
journal, November 2016

On active and inactive voids and a compression model for granular soils
journal, May 2017

Neutron Diffraction Measurements and Micromechanical Modelling of Temperature‐Dependent Variations in TATB Lattice Parameters
journal, February 2016

  • Yeager, John D.; Luscher, Darby J.; Vogel, Sven C.
  • Propellants, Explosives, Pyrotechnics, Vol. 41, Issue 3
  • DOI: 10.1002/prep.201500286

Thermoelastic behavior of composites with coated reinforcements: a micromechanical approach and applications
journal, February 1996

On diagonal and elastic symmetry of the approximate effective stiffness tensor of heterogeneous media
journal, January 1991

  • Benveniste, Y.; Dvorak, G. J.; Chen, T.
  • Journal of the Mechanics and Physics of Solids, Vol. 39, Issue 7
  • DOI: 10.1016/0022-5096(91)90012-D

The essential structure of constitutive laws for metal composites and polycrystals
journal, March 1967

Self-consistent scale transition with imperfect interfaces: Application to nanocrystalline materials
journal, April 2008

Damage in composites—Modeling of imperfect bonding
journal, January 1987

Homogenization of multi-phase composites based on a revisited formulation of the multi-coated inclusion problem
journal, March 2016

A coated inclusion-based homogenization scheme for viscoelastic composites with interphases
journal, February 2017

Homogenization of the viscoelastic heterogeneous materials with multi-coated reinforcements: an internal variables formulation
journal, February 2014

Elastic behavior of composites with coated inclusions: Micromechanical approach and applications
journal, January 1996

The determination of the elastic field of an ellipsoidal inclusion, and related problems
journal, August 1957

  • Eshelby, John Douglas
  • Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 241, Issue 1226, p. 376-396
  • DOI: 10.1098/rspa.1957.0133

New micromechanical approach of the coated inclusion problem: Exact solution and applications
journal, September 2012

Analysis of Composite Materials—A Survey
journal, September 1983

On the numerical evaluation of Eshelby's tensor and its application to elastoplastic fibrous composites
journal, January 1990

  • Gavazzi, A. C.; Lagoudas, D. C.
  • Computational Mechanics, Vol. 7, Issue 1
  • DOI: 10.1007/BF00370053

Nanoscale characterisation of interphase in silane treated glass fibre composites
journal, May 2001

  • Kim, Jang-Kyo; Sham, Man-Lung; Wu, Jingshen
  • Composites Part A: Applied Science and Manufacturing, Vol. 32, Issue 5
  • DOI: 10.1016/S1359-835X(00)00163-9

Thermoelastic properties of particulate composites with imperfect interface
journal, January 1991

Crystal State of 1,3,5-Triamino-2,4,6-Trinitrobenzene (TATB) Undergoing Thermal Cycling Process
journal, June 2010

A micromechanical framework and modified self-consistent homogenization scheme for the thermoelasticity of porous bonded-particle assemblies
journal, May 2018

Stress fields in composites with coated inclusions
journal, June 1989

On composites with periodic structure
journal, September 1982

Characterisation of interphase nanoscale property variations in glass fibre reinforced polypropylene and epoxy resin composites
journal, April 2002

Micromechanical modelling of an arbitrary ellipsoidal multi-coated inclusion
journal, April 2006

A coupled elastoplastic damage model for geomaterials
journal, July 2004

  • Salari, M. R.; Saeb, S.; Willam, K. J.
  • Computer Methods in Applied Mechanics and Engineering, Vol. 193, Issue 27-29
  • DOI: 10.1016/j.cma.2003.11.013

Dynamic effective properties of the particle-reinforced composites with the viscoelastic interphase
journal, December 2004

Cam-Clay plasticity, Part VIII: A constitutive framework for porous materials with evolving internal structure
journal, September 2016

  • Borja, Ronaldo I.; Choo, Jinhyun
  • Computer Methods in Applied Mechanics and Engineering, Vol. 309
  • DOI: 10.1016/j.cma.2016.06.016

The effective mechanical properties of nonlinear isotropic composites
journal, January 1991

A coated inclusion in an elastic medium
journal, May 1978

  • Walpole, L. J.
  • Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 83, Issue 3
  • DOI: 10.1017/S0305004100054773

Average stress in matrix and average elastic energy of materials with misfitting inclusions
journal, May 1973

A generalized self-consistent mechanics method for composite materials with multiphase inclusions
journal, March 1994

A selfconsistent formulation for the prediction of the anisotropic behavior of viscoplastic polycrystals with voids
journal, February 2004

  • Lebensohn, R. A.; Tomé, C. N.; Maudlin, P. J.
  • Journal of the Mechanics and Physics of Solids, Vol. 52, Issue 2
  • DOI: 10.1016/S0022-5096(03)00114-5

Material spatial randomness: From statistical to representative volume element
journal, April 2006

Interfacial operators in the mechanics of composite media
journal, January 1983

Micromechanical Modeling for the Deformation of Sand with Noncoaxiality between the Stress and Material Axes
journal, January 2017

Micromechanics of defects in solids
book, January 1982

Effect of the Interface on the Properties of Composite Media
journal, April 1996

Double-Inclusion Model and Overall Moduli of Multi-Phase Composites
journal, July 1994

  • Hori, Muneo; Nemat-Nasser, Sia
  • Journal of Engineering Materials and Technology, Vol. 116, Issue 3
  • DOI: 10.1115/1.2904292

Micromechanics of Defects in Solids
journal, June 1983

  • Mura, T.; Barnett, D. M.
  • Journal of Applied Mechanics, Vol. 50, Issue 2
  • DOI: 10.1115/1.3167076
    Sort by:
    [ × clear filter / sort ]

    Works referencing / citing this record:

    An energy approach to Modified Cam-Clay plasticity and damage modeling of cohesive soils
    journal, November 2019

      Sort by:
      [ × clear filter / sort ]

      Figures / Tables found in this record:

      Fig. 1 (p. 5)figure
      Fig. 2 (p. 5)figure
      Fig. 3 (p. 11)figure
      Fig. 4 (p. 23)figure
      Fig. 5 (p. 24)figure
      Table 1 (p. 24)table
      Table 2 (p. 25)table
      Fig. 6 (p. 26)figure
      Fig. 7 (p. 26)figure
      Fig. 8 (p. 27)figure
      Fig. 9 (p. 28)figure
      Fig. 10 (p. 29)figure
      Fig. 11 (p. 29)figure
      Table 3 (p. 29)table
      Table 4 (p. 30)table
        [ × clear filter / sort ]
        Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.

        Similar Records in DOE PAGES and OSTI.GOV collections: