New self-consistent homogenization for thermo-elastic polycrystals with imperfect interfaces

Zecevic, Miroslav; Bennett, Kane; Luscher, Darby Jon; Lebensohn, Ricardo A.

doi:10.1016/j.mechmat.2020.103651

Title: New self-consistent homogenization for thermo-elastic polycrystals with imperfect interfaces

Journal Article · Tue Nov 17 00:00:00 EST 2020 · Mechanics of Materials

DOI:https://doi.org/10.1016/j.mechmat.2020.103651· OSTI ID:1726215

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Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Here we present a new thermo-elastic self-consistent formulation to calculate the thermo-mechanical response of polycrystalline aggregates with imperfect interfaces. The new model is based on an improved treatment of the effect of imperfect interfaces on the micromechanical response of the grains compared to pre-existing models. New expressions/algorithms are derived for the effective elastic and thermal properties, localization relations, and calculation of intragranular field fluctuations. In addition, derivation of a novel integral equation for the strain field in a heterogeneous elastic medium subjected to arbitrary thermal strain field and displacement jumps is presented. The new model is applied to study the effective thermo-elastic properties and average field fluctuations as a function of the interface properties for imperfectly-bonded triaminotrinitrobenzene (TATB) polycrystalline granular aggregates. The proposed formulation is general in the sense that it can be extended to other material systems and deformation regimes that require a proper consideration of the effect of imperfect interface properties on the material's thermo-mechanical response.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Laboratory Directed Research and Development (LDRD) Program

Grant/Contract Number:: 89233218CNA000001; 20180441ER; 20200182DR

OSTI ID:: 1726215

Alternate ID(s):: OSTI ID: 1809494

Report Number(s):: LA-UR-20-24726

Journal Information:: Mechanics of Materials, Vol. 155, Issue C; ISSN 0167-6636

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

References (23)

The effective mechanical properties of nonlinear isotropic composites Castañeda, P. Ponte Journal of the Mechanics and Physics of Solids, Vol. 39, Issue 1 https://doi.org/10.1016/0022-5096(91)90030-R	journal	January 1991
Growth of 1,3,5-Triamino-2,4,6-trinitrobenzene (TATB) I. Anisotropic thermal expansion Kolb, John R.; Rizzo, H. F. Propellants, Explosives, Pyrotechnics, Vol. 4, Issue 1 https://doi.org/10.1002/prep.19790040104	journal	March 1979
A FFT-based formulation for discrete dislocation dynamics in heterogeneous media Bertin, N.; Capolungo, L. Journal of Computational Physics, Vol. 355 https://doi.org/10.1016/j.jcp.2017.11.020	journal	February 2018
A unified scheme for prediction of effective moduli of multiphase composites with interface effects. Part I: Theoretical framework Duan, H. L.; Yi, X.; Huang, Z. P. Mechanics of Materials, Vol. 39, Issue 1 https://doi.org/10.1016/j.mechmat.2006.02.009	journal	January 2007
Self-consistent modeling of the influence of texture on thermal expansion in polycrystalline TATB Luscher, D. J.; Buechler, M. A.; Miller, N. A. Modelling and Simulation in Materials Science and Engineering, Vol. 22, Issue 7 https://doi.org/10.1088/0965-0393/22/7/075008	journal	September 2014
The effective mechanical behaviour of composite materials with imperfect contact between the constituents Benveniste, Y. Mechanics of Materials, Vol. 4, Issue 2 https://doi.org/10.1016/0167-6636(85)90016-X	journal	July 1985
A molecular dynamics simulation study of crystalline 1,3,5-triamino-2,4,6-trinitrobenzene as a function of pressure and temperature Bedrov, Dmitry; Borodin, Oleg; Smith, Grant D. The Journal of Chemical Physics, Vol. 131, Issue 22 https://doi.org/10.1063/1.3264972	journal	December 2009
Elastic composites with coated reinforcements: A micromechanical approach for nonhomothetic topology Cherkaoui, M.; Sabar, H.; Berveiller, M. International Journal of Engineering Science, Vol. 33, Issue 6 https://doi.org/10.1016/0020-7225(94)00108-V	journal	May 1995
Static elastic and thermoelastic field fluctuations in multiphase composites Bobeth, M.; Diener, G. Journal of the Mechanics and Physics of Solids, Vol. 35, Issue 2 https://doi.org/10.1016/0022-5096(87)90033-0	journal	January 1987
Variational Principles for Scattering Processes. I Lippmann, B. A.; Schwinger, Julian Physical Review, Vol. 79, Issue 3 https://doi.org/10.1103/PhysRev.79.469	journal	August 1950
Thermoelastic properties of particulate composites with imperfect interface Hashin, Zvi Journal of the Mechanics and Physics of Solids, Vol. 39, Issue 6 https://doi.org/10.1016/0022-5096(91)90023-H	journal	January 1991
New micromechanical modeling of the elastic behavior of composite materials with ellipsoidal reinforcements and imperfect interfaces Dinzart, F.; Sabar, H. International Journal of Solids and Structures, Vol. 108 https://doi.org/10.1016/j.ijsolstr.2016.12.024	journal	March 2017
N-site modeling of a 3D viscoplastic polycrystal using Fast Fourier Transform A. Lebensohn, R. Acta Materialia, Vol. 49, Issue 14 https://doi.org/10.1016/S1359-6454(01)00172-0	journal	August 2001
Equivalent inclusion solution adapted to particle debonding with a non-linear cohesive law Othmani, Yamen; Delannay, Laurent; Doghri, Issam International Journal of Solids and Structures, Vol. 48, Issue 24 https://doi.org/10.1016/j.ijsolstr.2011.08.002	journal	December 2011
A micromechanical framework and modified self-consistent homogenization scheme for the thermoelasticity of porous bonded-particle assemblies Bennett, K. C.; Luscher, D. J.; Buechler, M. A. International Journal of Solids and Structures, Vol. 139-140 https://doi.org/10.1016/j.ijsolstr.2018.02.001	journal	May 2018
Effective Thermoelasticity of Polymer-Bonded Particle Composites with Imperfect Interfaces and Thermally Expansive Interphases Bennett, Kane C.; Luscher, Darby J. Journal of Elasticity, Vol. 136, Issue 1 https://doi.org/10.1007/s10659-018-9688-z	journal	September 2018
The Elastic Inclusion With a Sliding Interface Mura, T.; Furuhashi, R. Journal of Applied Mechanics, Vol. 51, Issue 2 https://doi.org/10.1115/1.3167617	journal	June 1984
The effect of slightly weakened interfaces on the overall elastic properties of composite materials Qu, Jianmin Mechanics of Materials, Vol. 14, Issue 4 https://doi.org/10.1016/0167-6636(93)90082-3	journal	March 1993
Somigliana dislocations and internal stresses; with application to second phase hardening Asaro, R. J. International Journal of Engineering Science, Vol. 13, Issue 3 https://doi.org/10.1016/0020-7225(75)90035-X	journal	March 1975
A general interface model for a three-dimensional curved thin anisotropic interphase between two anisotropic media Benveniste, Y. Journal of the Mechanics and Physics of Solids, Vol. 54, Issue 4 https://doi.org/10.1016/j.jmps.2005.10.009	journal	April 2006
The determination of the elastic field of an ellipsoidal inclusion, and related problems Eshelby, John Douglas Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 241, Issue 1226, p. 376-396 https://doi.org/10.1098/rspa.1957.0133	journal	August 1957
On the thermostatics of composite materials Laws, N. Journal of the Mechanics and Physics of Solids, Vol. 21, Issue 1 https://doi.org/10.1016/0022-5096(73)90027-6	journal	January 1973
Self-consistent modelling of the mechanical behaviour of viscoplastic polycrystals incorporating intragranular field fluctuations Lebensohn, R. A.; Tomé, C. N.; CastaÑeda, P. Ponte Philosophical Magazine, Vol. 87, Issue 28 https://doi.org/10.1080/14786430701432619	journal	August 2007

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Related Subjects

36 MATERIALS SCIENCE
polycrystalline material
stress concentrations
thermomechanical process
stress fluctuations
crystal mechanics
imperfect interfaces
triaminotrinitrobenzene (TATB)

Title: New self-consistent homogenization for thermo-elastic polycrystals with imperfect interfaces

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