{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,12]],"date-time":"2026-05-12T06:55:39Z","timestamp":1778568939623,"version":"3.51.4"},"reference-count":70,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2020,2,15]],"date-time":"2020-02-15T00:00:00Z","timestamp":1581724800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2020,2,15]],"date-time":"2020-02-15T00:00:00Z","timestamp":1581724800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"funder":[{"DOI":"10.13039\/100000015","name":"U.S. Department of Energy","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100000015","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Adv. Model. and Simul. in Eng. Sci."],"published-print":{"date-parts":[[2020,12]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>A novel thermo-elastoplastic self-consistent homogenization model for granular materials that exhibit inter-granular plasticity is presented. The model, TEPSCA, is made possible by identifying a new inter-granular plastic Eshelby-like tensor. A micromechanical model of interfacial yielding between grains of a Mohr\u2013Coulomb type is provided, which is relatable to the description of imperfect interfaces within the paradigm of self-consistent homogenization. The local grain constitutive laws are consistent with the description of an interphase layer comprised of local pore volume between grains, such that inelastic inter-particle displacements are directly relatable to changes in bulk porosity, i.e., dilation. The model was developed for the purpose of modeling thermally induced plasticity\u2014the phenomenon known as thermal ratcheting or \u201cratchet growth\u201d\u2014of composites made from the high explosive triaminotrinitrobenzene (TATB). Model simulations are compared to ratchet growth measurements during cyclic thermal loading of a TATB pellet under stress-free conditions.<\/jats:p>","DOI":"10.1186\/s40323-019-0139-6","type":"journal-article","created":{"date-parts":[[2020,2,15]],"date-time":"2020-02-15T09:02:38Z","timestamp":1581757358000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["A thermo-elastoplastic self-consistent homogenization method for inter-granular plasticity with application to thermal ratcheting of TATB"],"prefix":"10.1186","volume":"7","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0822-6288","authenticated-orcid":false,"given":"Kane C.","family":"Bennett","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Miroslav","family":"Zecevic","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Darby J.","family":"Luscher","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ricardo A.","family":"Lebensohn","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2020,2,15]]},"reference":[{"key":"139_CR1","unstructured":"Abaqus. Abaqus documentation. Technical report, Dassault Systems, Providence, RI, USA; 2011."},{"issue":"9","key":"139_CR2","doi-asserted-by":"publisher","first-page":"496","DOI":"10.1016\/j.mechmat.2011.06.006","volume":"43","author":"P Barai","year":"2011","unstructured":"Barai P, Weng GJ. Mechanics of a nanocrystalline coating and grain-size dependence of its plastic strength. Mech Mater. 2011;43(9):496\u2013504.","journal-title":"Mech Mater"},{"key":"139_CR3","doi-asserted-by":"publisher","first-page":"224703","DOI":"10.1063\/1.3264972","volume":"131","author":"D Bedrov","year":"2009","unstructured":"Bedrov D, Borodin O, Smith GD, Sewell TD, Dattelbaum DM, Stevens LL. A molecular dynamics simulation study of crystalline 1,3,5-triamino-2,4,6-trinitobenzene as a function of pressure and temperature. J Chem Phys. 2009;131:224703.","journal-title":"J Chem Phys"},{"key":"139_CR4","doi-asserted-by":"publisher","unstructured":"Bennett KC. An energy approach to Modified Cam-Clay plasticity and damage modeling of cohesive soils. Acta Geotech. 2020;15:165\u2013177 (2020). https:\/\/doi.org\/10.1007\/s11440-019-00880-0.","DOI":"10.1007\/s11440-019-00880-0"},{"issue":"1","key":"139_CR5","doi-asserted-by":"publisher","first-page":"55","DOI":"10.1007\/s10659-018-9688-z","volume":"136","author":"KC Bennett","year":"2019","unstructured":"Bennett KC, Luscher DJ. Effective thermoelasticity of polymer-bonded particle composites with imperfect interfaces and thermally expansive interphases. J Elast. 2019;136(1):55\u201385. https:\/\/doi.org\/10.1007\/s10659-018-9688-z.","journal-title":"J Elast"},{"key":"139_CR6","doi-asserted-by":"publisher","first-page":"224","DOI":"10.1016\/j.ijsolstr.2018.02.001","volume":"139","author":"KC Bennett","year":"2018","unstructured":"Bennett KC, Luscher DJ, Buechler MA, Yeager JD. A micromechanical framework and modified self-consistent homogenization scheme for the thermoelasticity of porous bonded-particle assemblies. Int J Solids Struct. 2018;139:224\u201337. https:\/\/doi.org\/10.1016\/j.ijsolstr.2018.02.001.","journal-title":"Int J Solids Struct"},{"issue":"5\u20136","key":"139_CR7","doi-asserted-by":"publisher","first-page":"325","DOI":"10.1016\/0022-5096(78)90003-0","volume":"26","author":"M Berveiller","year":"1978","unstructured":"Berveiller M, Zaoui A. An extension of the self-consistent scheme to plastically-flowing polycrystals. J Mech Phys Solids. 1978;26(5\u20136):325\u201344.","journal-title":"J Mech Phys Solids"},{"key":"139_CR8","doi-asserted-by":"publisher","first-page":"95","DOI":"10.1016\/j.euromechsol.2015.02.003","volume":"52","author":"F Bignonnet","year":"2015","unstructured":"Bignonnet F, Dormieux L, Lemarchand E. Strength of a matrix with elliptic criterion reinforced by rigid inclusions with imperfect interfaces. Eur J Mech A\/Solids. 2015;52:95\u2013106.","journal-title":"Eur J Mech A\/Solids"},{"issue":"6","key":"139_CR9","doi-asserted-by":"publisher","first-page":"1764","DOI":"10.1016\/j.ijsolstr.2005.04.045","volume":"43","author":"RI Borja","year":"2006","unstructured":"Borja RI. On the mechanical energy and effective stress in saturated and unsaturated porous continua. Int J Solids Struct. 2006;43(6):1764\u201386.","journal-title":"Int J Solids Struct"},{"key":"139_CR10","doi-asserted-by":"publisher","first-page":"56","DOI":"10.1016\/j.cma.2019.05.003","volume":"354","author":"EC Bryant","year":"2019","unstructured":"Bryant EC, Sun W. A micromorphically regularized cam-clay model for capturing size-dependent anisotropy. Comput Methods Appl Mech Eng. 2019;354:56\u201395.","journal-title":"Comput Methods Appl Mech Eng"},{"issue":"4","key":"139_CR11","doi-asserted-by":"publisher","first-page":"223","DOI":"10.1016\/0022-5096(65)90011-6","volume":"13","author":"B Budiansky","year":"1965","unstructured":"Budiansky B. On elastic moduli of some heterogeneous materials. J Mech Phys Solids. 1965;13(4):223.","journal-title":"J Mech Phys Solids"},{"key":"139_CR12","doi-asserted-by":"crossref","unstructured":"Buechler MA, Miller NA, Luscher DJ, Schwarz RB, Thompson D. Modeling the effects of texture on thermal expansion in pressed PBX 9502 components. In: ASME international mechanical engineering congress and exposition, vol 9: mechanics of solids, structures and fluids. ASME; 2016.","DOI":"10.1115\/IMECE2016-68235"},{"key":"139_CR13","volume-title":"Micromechanics of heterogeneous materials","author":"B Valeriy","year":"2007","unstructured":"Valeriy B. Micromechanics of heterogeneous materials. Berlin: Springer; 2007."},{"key":"139_CR14","series-title":"MRS Proceedings","first-page":"243","volume-title":"Growth and defects of explosives crystals","author":"HH Cady","year":"1992","unstructured":"Cady HH. Growth and defects of explosives crystals, vol. 296., MRS ProceedingsCambridge: Cambridge Univ. Press; 1992. p. 243."},{"issue":"6","key":"139_CR15","doi-asserted-by":"publisher","first-page":"1301","DOI":"10.1007\/s11440-017-0598-1","volume":"12","author":"CS Chang","year":"2017","unstructured":"Chang CS, Meidani M, Deng Y. A compression model for sand-silt mixtures based on the concept of active and inactive voids. Acta Geotech. 2017;12(6):1301\u201317.","journal-title":"Acta Geotech"},{"key":"139_CR16","doi-asserted-by":"crossref","first-page":"C4015001","DOI":"10.1061\/(ASCE)EM.1943-7889.0000966","volume":"143","author":"CS Chang","year":"2015","unstructured":"Chang CS, Bennett KC. Micromechanical modeling for the deformation of sand with noncoaxiality between the stress and material axes. J Eng Mech. 2015;143:C4015001.","journal-title":"J Eng Mech"},{"key":"139_CR17","volume-title":"Multiscale methods in computational mechanics: progress and accomplishments","author":"R de Borst","year":"2010","unstructured":"de Borst R, Ramm E. Multiscale methods in computational mechanics: progress and accomplishments, vol. 55. Berlin: Springer; 2010."},{"key":"139_CR18","doi-asserted-by":"crossref","unstructured":"Djaka KS, Berbenni S, Taupin V, Lebensohn RA. A FFT-based numerical implementation of mesoscale field dislocation mechanics: application to two-phase laminates. Int J Solids Struct. 2019.","DOI":"10.1016\/j.ijsolstr.2018.12.027"},{"issue":"5","key":"139_CR19","doi-asserted-by":"crossref","first-page":"1629","DOI":"10.1061\/JSFEAQ.0001458","volume":"96","author":"JM Duncan","year":"1970","unstructured":"Duncan JM, Chang C-Y. Nonlinear analysis of stress and strain in soils. J Soil Mech Found Div. 1970;96(5):1629\u201353.","journal-title":"J Soil Mech Found Div"},{"key":"139_CR20","volume-title":"Sands, powders, and grains: an introduction to the physics of granular materials","author":"J Duran","year":"2012","unstructured":"Duran J. Sands, powders, and grains: an introduction to the physics of granular materials. Berlin: Springer; 2012."},{"key":"139_CR21","first-page":"376","volume":"241","author":"JD Eshelby","year":"1957","unstructured":"Eshelby JD. The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proc R Soc Lond. 1957;241:376\u201396.","journal-title":"Proc R Soc Lond"},{"issue":"127","key":"139_CR22","doi-asserted-by":"publisher","first-page":"469","DOI":"10.1080\/14786448508627791","volume":"20","author":"O Reynolds","year":"1885","unstructured":"Reynolds O. On the dilatancy of media composed of rigid particles in contact. With experimental illustrations. Lond Edinburg Dublin Philosoph Mag J Sci. 1885;20(127):469\u201381.","journal-title":"Lond Edinburg Dublin Philosoph Mag J Sci"},{"key":"139_CR23","doi-asserted-by":"publisher","first-page":"516","DOI":"10.1016\/j.euromechsol.2018.10.005","volume":"75","author":"PMJS Godinho","year":"2019","unstructured":"Godinho PMJS, Jajcinovic M, Wagner L, Vass V, Fischer WJ, Bader TK, Hirn U, Bauer W, Eberhardsteiner J, Hellmich C. A continuum micromechanics approach to the elasticity and strength of planar fiber networks: theory and application to paper sheets. Eur J Mech A\/Solids. 2019;75:516\u201331.","journal-title":"Eur J Mech A\/Solids"},{"issue":"5","key":"139_CR24","doi-asserted-by":"publisher","first-page":"323","DOI":"10.1680\/geot.2010.60.5.323","volume":"60","author":"M Hattab","year":"2010","unstructured":"Hattab M, Fleureau JM. Experimental study of kaolin particle orientation mechanism. G\u00e9otechnique. 2010;60(5):323.","journal-title":"G\u00e9otechnique"},{"key":"139_CR25","doi-asserted-by":"publisher","first-page":"430","DOI":"10.1016\/j.euromechsol.2013.06.009","volume":"42","author":"Z He","year":"2013","unstructured":"He Z, Dormieux L, Lemarchand E, Kondo D. Cohesive mohr-coulomb interface effects on the strength criterion of materials with granular-based microstructure. Eur J Mech A\/Solids. 2013;42:430\u201340.","journal-title":"Eur J Mech A\/Solids"},{"issue":"3","key":"139_CR26","doi-asserted-by":"crossref","first-page":"236","DOI":"10.1115\/1.4010899","volume":"21","author":"AV Hershey","year":"1954","unstructured":"Hershey AV. The elasticity of an isotropic aggregate of anisotropic cubic crystals. J Appl Mech Trans ASME. 1954;21(3):236\u201340.","journal-title":"J Appl Mech Trans ASME"},{"issue":"4","key":"139_CR27","doi-asserted-by":"publisher","first-page":"213","DOI":"10.1016\/0022-5096(65)90010-4","volume":"13","author":"R Hill","year":"1965","unstructured":"Hill R. A self-consistent mechanics of composite materials. J Mech Phys Solids. 1965a;13(4):213\u201322.","journal-title":"J Mech Phys Solids"},{"issue":"2","key":"139_CR28","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1016\/0022-5096(65)90023-2","volume":"13","author":"R Hill","year":"1965","unstructured":"Hill R. Continuum micro-mechanics of elastoplastic polycrystals. J Mech Phys Solids. 1965b;13(2):89\u2013101.","journal-title":"J Mech Phys Solids"},{"issue":"4","key":"139_CR29","doi-asserted-by":"publisher","first-page":"213","DOI":"10.1016\/0022-5096(65)90010-4","volume":"13","author":"R Hill","year":"1965","unstructured":"Hill R. A self-consistent mechanics of composite materials. J Mech Phys Solids. 1965c;13(4):213\u201322.","journal-title":"J Mech Phys Solids"},{"key":"139_CR30","volume-title":"Mechanics of granular materials: an introduction","author":"K Iwashita","year":"1999","unstructured":"Iwashita K, Oda M. Mechanics of granular materials: an introduction. Boca Raton: CRC Press; 1999."},{"key":"139_CR31","doi-asserted-by":"publisher","first-page":"10","DOI":"10.1002\/prep.19790040104","volume":"4","author":"JR Kolb","year":"1979","unstructured":"Kolb JR, Rizzo HF. Growth of 1,3,5-triamino-2,4,6-trinitobenzene (TATB): I. Anisotropic thermal-expansion. Propell Explos. 1979;4:10\u20136.","journal-title":"Propell Explos"},{"key":"139_CR32","series-title":"Modelling small deformations of polycrystals","first-page":"229","volume-title":"Statistical modelling","author":"E Kr\u00f6ner","year":"1986","unstructured":"Kr\u00f6ner E. Statistical modelling., Modelling small deformations of polycrystalsBerlin: Springer; 1986. p. 229\u201391."},{"issue":"4","key":"139_CR33","doi-asserted-by":"publisher","first-page":"504","DOI":"10.1007\/BF01337948","volume":"151","author":"E Kr\u00f6ner","year":"1958","unstructured":"Kr\u00f6ner E. Berechnung der elastischen konstanten des vielkristalls aus den konstanten des einkristalls. Zeitschrift f\u00fcr Physik. 1958;151(4):504\u201318.","journal-title":"Zeitschrift f\u00fcr Physik"},{"issue":"2","key":"139_CR34","doi-asserted-by":"publisher","first-page":"249","DOI":"10.1016\/S0022-5096(03)00114-5","volume":"52","author":"RA Lebensohn","year":"2004","unstructured":"Lebensohn RA, Tom\u00e9 CN, Maudlin PJ. A selfconsistent formulation for the prediction of the anisotropic behavior of viscoplastic polycrystals with voids. J Mech Phys Solids. 2004;52(2):249\u201378.","journal-title":"J Mech Phys Solids"},{"key":"139_CR35","doi-asserted-by":"crossref","unstructured":"Lei Z, Rougier E, Munjiza A, Viswanathan H, Knight EE. Simulation of discrete cracks driven by nearly incompressible fluid via 2d combined finite-discrete element method. Int J Numer Anal Methods Geomech. 2019.","DOI":"10.1002\/nag.2929"},{"issue":"2","key":"139_CR36","doi-asserted-by":"publisher","first-page":"129","DOI":"10.1002\/nme.5139","volume":"106","author":"Y Liu","year":"2016","unstructured":"Liu Y, Sun WC, Yuan Z, Fish J. A nonlocal multiscale discrete-continuum model for predicting mechanical behavior of granular materials. Int J Numer Methods Eng. 2016;106(2):129\u201360.","journal-title":"Int J Numer Methods Eng"},{"key":"139_CR37","series-title":"AIP conference proceedings","doi-asserted-by":"crossref","first-page":"180006","DOI":"10.1063\/1.5045039","volume-title":"Implementation of a dislocation-density based single-crystal model into a continuum shock hydrodynamics code","author":"DJ Luscher","year":"2018","unstructured":"Luscher DJ, Kenamond MA, Hunter A, Mayeur JR, Mourad HM. Implementation of a dislocation-density based single-crystal model into a continuum shock hydrodynamics code, vol. 1979., AIP conference proceedingsNew York: AIP Publishing; 2018. p. 180006."},{"issue":"7","key":"139_CR38","doi-asserted-by":"publisher","first-page":"075008","DOI":"10.1088\/0965-0393\/22\/7\/075008","volume":"22","author":"DJ Luscher","year":"2014","unstructured":"Luscher DJ, Buechler MA, Miller NA. Self-consistent modeling of the influence of texture on thermal expansion in polycrystalline TATB. Modell Simul Mater Sci Eng. 2014;22(7):075008.","journal-title":"Modell Simul Mater Sci Eng"},{"issue":"3","key":"139_CR39","doi-asserted-by":"publisher","first-page":"647","DOI":"10.1016\/j.euromechsol.2008.10.010","volume":"28","author":"Y Maalej","year":"2009","unstructured":"Maalej Y, Dormieux L, Sanahuja J. Micromechanical approach to the failure criterion of granular media. Eur J Mech A\/Solids. 2009;28(3):647\u201353.","journal-title":"Eur J Mech A\/Solids"},{"issue":"7","key":"139_CR40","doi-asserted-by":"publisher","first-page":"1543","DOI":"10.1016\/S0022-5096(98)00106-9","volume":"47","author":"R Masson","year":"1999","unstructured":"Masson R, Zaoui A. Self-consistent estimates for the rate-dependentelastoplastic behaviour of polycrystalline materials. J Mech Phys Solids. 1999;47(7):1543\u201368.","journal-title":"J Mech Phys Solids"},{"issue":"10","key":"139_CR41","doi-asserted-by":"publisher","first-page":"1135","DOI":"10.1002\/nme.1972","volume":"71","author":"C Miehe","year":"2007","unstructured":"Miehe C, Bayreuther CG. On multiscale fe analyses of heterogeneous structures: from homogenization to multigrid solvers. Int J Numer Methods Eng. 2007;71(10):1135\u201380.","journal-title":"Int J Numer Methods Eng"},{"issue":"1","key":"139_CR42","doi-asserted-by":"publisher","first-page":"43","DOI":"10.1016\/S0167-6636(97)00017-3","volume":"26","author":"A Molinari","year":"1997","unstructured":"Molinari A, Ahzi S, Kouddane R. On the self-consistent modeling of elastic-plastic behavior of polycrystals. Mech Mater. 1997;26(1):43\u201362.","journal-title":"Mech Mater"},{"issue":"1","key":"139_CR43","doi-asserted-by":"publisher","first-page":"62","DOI":"10.1115\/1.1421052","volume":"124","author":"A Molinari","year":"2002","unstructured":"Molinari A. Averaging models for heterogeneous viscoplastic and elastic viscoplastic materials. J Eng Mater Technol. 2002;124(1):62\u201370.","journal-title":"J Eng Mater Technol"},{"key":"139_CR44","volume-title":"Micromechanics of defects in solids","author":"T Mura","year":"2013","unstructured":"Mura T. Micromechanics of defects in solids. Berlin: Springer; 2013."},{"issue":"2","key":"139_CR45","doi-asserted-by":"publisher","first-page":"112","DOI":"10.1016\/j.probengmech.2005.07.007","volume":"21","author":"M Ostoja-Starzewski","year":"2006","unstructured":"Ostoja-Starzewski M. Material spatial randomness: from statistical to representative volume element. Probab Eng Mech. 2006;21(2):112\u201332.","journal-title":"Probab Eng Mech"},{"issue":"1","key":"139_CR46","doi-asserted-by":"publisher","first-page":"14","DOI":"10.1007\/s004190050201","volume":"69","author":"A Paquin","year":"1999","unstructured":"Paquin A, Sabar H, Berveiller M. Integral formulation and self-consistent modelling of elastoviscoplastic behavior of heterogeneous materials. Arch Appl Mech. 1999;69(1):14\u201335.","journal-title":"Arch Appl Mech"},{"issue":"11","key":"139_CR47","doi-asserted-by":"publisher","first-page":"741","DOI":"10.1016\/S1631-0721(02)01526-7","volume":"330","author":"J Pastor","year":"2002","unstructured":"Pastor J, Casta\u00f1eda PP. Yield criteria for porous media in plane strain: second-order estimates versus numerical results. C R Mecaniq. 2002;330(11):741\u20137.","journal-title":"C R Mecaniq"},{"key":"139_CR48","doi-asserted-by":"crossref","unstructured":"Poorsolhjouy P, Misra A. Granular micromechanics based continuum model for grain rotations and grain rotation waves. J Mech Phys Solids. 2019.","DOI":"10.1016\/j.jmps.2019.05.012"},{"key":"139_CR49","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-84882-891-9","volume-title":"Elementary differential geometry","author":"AN Pressley","year":"2010","unstructured":"Pressley AN. Elementary differential geometry. Berlin: Springer; 2010."},{"key":"139_CR50","doi-asserted-by":"publisher","first-page":"269","DOI":"10.1016\/0167-6636(93)90082-3","volume":"14","author":"J Qu","year":"1993","unstructured":"Qu J. The effect of slightly weakened interfaces on the overall elastic properties of composite materials. Mech Mater. 1993b;14:269\u201381.","journal-title":"Mech Mater"},{"issue":"4","key":"139_CR51","doi-asserted-by":"publisher","first-page":"1048","DOI":"10.1115\/1.2900974","volume":"60","author":"Q Jianmin","year":"1993","unstructured":"Jianmin Q. Eshelby tensor for an elastic inclusion with slightly weakened interface. J Appl Mech. 1993a;60(4):1048\u201350.","journal-title":"J Appl Mech"},{"key":"139_CR52","volume-title":"Fundamentals of micromechanics of solids","author":"Q Jianmin","year":"2006","unstructured":"Jianmin Q, Cherkaoui M. Fundamentals of micromechanics of solids. Hoboken: Wiley; 2006."},{"issue":"318","key":"139_CR53","first-page":"145","volume":"II","author":"Y Rougier","year":"1994","unstructured":"Rougier Y, Stolz C, Zaoui A. Self consistent modelling of elastic-viscoplastic polycrystals. Comptes Rendus de l\u2019Academie des Sciences Serie. 1994;II(318):145\u201351.","journal-title":"Comptes Rendus de l\u2019Academie des Sciences Serie"},{"issue":"12","key":"139_CR54","doi-asserted-by":"publisher","first-page":"3257","DOI":"10.1016\/S0020-7683(02)00256-1","volume":"39","author":"H Sabar","year":"2002","unstructured":"Sabar H, Berveiller M, Favier V, Berbenni S. A new class of micro-macro models for elastic-viscoplastic heterogeneous materials. Int J Solids Struct. 2002;39(12):3257\u201376.","journal-title":"Int J Solids Struct"},{"issue":"5","key":"139_CR55","doi-asserted-by":"publisher","first-page":"657","DOI":"10.1080\/14786435.2010.522213","volume":"91","author":"C Schillebeeckx","year":"2011","unstructured":"Schillebeeckx C, Berbenni S, Capolungo L, Cherkaoui M. A new micromechanics-based scale transition model for the strain-rate sensitive behavior of nanocrystalline materials. Philosoph Mag. 2011;91(5):657\u201381.","journal-title":"Philosoph Mag"},{"key":"139_CR56","doi-asserted-by":"crossref","unstructured":"Segurado J, Lebensohn RA, LLorca J. Computational homogenization of polycrystals. arXiv preprint arXiv:1804.02538; 2018.","DOI":"10.1016\/bs.aams.2018.07.001"},{"issue":"6","key":"139_CR57","doi-asserted-by":"publisher","first-page":"268","DOI":"10.1002\/cjce.5450400609","volume":"40","author":"JP Sutherland","year":"1962","unstructured":"Sutherland JP. The agglomeration of aqueous suspensions of graphite. Canad J Chem Eng. 1962;40(6):268\u201372.","journal-title":"Canad J Chem Eng"},{"key":"139_CR58","doi-asserted-by":"crossref","unstructured":"Thompson DG, Woznick C, DeLuca R. Thermal cycling and ratchet growth of TATB and PBX 9502. Propell Explos Pyrotech. 2019.","DOI":"10.1063\/1.5044808"},{"issue":"3","key":"139_CR59","first-page":"1984","volume":"29","author":"PA Vermeer","year":"1984","unstructured":"Vermeer PA, De Borst R. Non-associated plasticity for soils, concrete and rock. HERON. 1984;29(3):1984.","journal-title":"HERON"},{"key":"139_CR60","volume-title":"Inelasticity and micromechanics of metal matrix composites","author":"GZ Voyiadjis","year":"2017","unstructured":"Voyiadjis GZ, Ju J-W. Inelasticity and micromechanics of metal matrix composites, vol. 41. Amsterdam: Elsevier; 2017."},{"issue":"4","key":"139_CR61","doi-asserted-by":"publisher","first-page":"594","DOI":"10.1016\/j.jmps.2010.01.004","volume":"58","author":"H Wang","year":"2010","unstructured":"Wang H, Wu PD, Tom\u00e9 CN, Huang Y. A finite strain elastic-viscoplastic self-consistent model for polycrystalline materials. J Mech Phys Solids. 2010;58(4):594\u2013612.","journal-title":"J Mech Phys Solids"},{"key":"139_CR62","doi-asserted-by":"publisher","first-page":"216","DOI":"10.1016\/j.cma.2018.11.026","volume":"346","author":"K Wang","year":"2019","unstructured":"Wang K, Sun WC. Meta-modeling game for deriving theory-consistent, microstructure-based traction-separation laws via deep reinforcement learning. Comput Methods Appl Mech Eng. 2019a;346:216\u201341.","journal-title":"Comput Methods Appl Mech Eng"},{"key":"139_CR63","doi-asserted-by":"publisher","first-page":"276","DOI":"10.1016\/j.cma.2018.09.034","volume":"344","author":"K Wang","year":"2019","unstructured":"Wang K, Sun WC. An updated Lagrangian LBM-DEM-FEM coupling model for dual-permeability fissured porous media with embedded discontinuities. Comput Methods Appl Mech Eng. 2019b;344:276\u2013305.","journal-title":"Comput Methods Appl Mech Eng"},{"issue":"4","key":"139_CR64","doi-asserted-by":"publisher","first-page":"779","DOI":"10.1115\/1.3157733","volume":"48","author":"GJ Weng","year":"1981","unstructured":"Weng GJ. A self-consistent scheme for the relaxation behavior of metals. J Appl Mech. 1981;48(4):779\u201384.","journal-title":"J Appl Mech"},{"key":"139_CR65","series-title":"AIP conference proceedings","doi-asserted-by":"crossref","first-page":"060011","DOI":"10.1063\/1.5044808","volume-title":"Thermal cycling and ratchet growth of as-pressed TATB pellets","author":"CS Woznick","year":"2018","unstructured":"Woznick CS, Thompson DG, DeLuca R, Patterson BM, Shear TA. Thermal cycling and ratchet growth of as-pressed TATB pellets, vol. 1979., AIP conference proceedingsNew York: AIP Publishing; 2018. p. 060011."},{"key":"139_CR66","doi-asserted-by":"publisher","first-page":"243","DOI":"10.1016\/j.ijsolstr.2018.11.021","volume":"161","author":"B Yan","year":"2019","unstructured":"Yan B, Regueiro RA. Definition and symmetry of averaged stress tensor in granular media and its 3D DEM inspection under static and dynamic conditions. Int J Solids Struct. 2019;161:243\u201366.","journal-title":"Int J Solids Struct"},{"key":"139_CR67","doi-asserted-by":"publisher","first-page":"514","DOI":"10.1002\/prep.201500286","volume":"41","author":"J Yeager","year":"2016","unstructured":"Yeager J, Luscher DJ, Vogel SC, Clausen B, Brown DW. Neutron diffraction measurements and micromechanical modelling of temperature-dependent variations in TATB lattice parameters. Propell Explos Pyrotech. 2016;41:514\u201325.","journal-title":"Propell Explos Pyrotech"},{"key":"139_CR68","series-title":"AIP conference proceedings","doi-asserted-by":"crossref","first-page":"070033","DOI":"10.1063\/1.5044842","volume-title":"Importance of microstructural features in mechanical response of cast-cured HMX formulations","author":"JD Yeager","year":"2018","unstructured":"Yeager JD, Manner VW, Stull JA, Walters DJ, Schmalzer AM, Luscher DJ, Patterson BM. Importance of microstructural features in mechanical response of cast-cured HMX formulations, vol. 1979., AIP conference proceedingsNew York: AIP Publishing; 2018. p. 070033."},{"key":"139_CR69","unstructured":"Zecevic M, Lebensohn RA. New robust self-consistent homogenization schemes of elasto-viscoplastic polycrystals. (Submitted)."},{"key":"139_CR70","doi-asserted-by":"publisher","first-page":"530","DOI":"10.1016\/j.actamat.2018.11.002","volume":"164","author":"M Zecevic","year":"2019","unstructured":"Zecevic M, Lebensohn RA, McCabe RJ, Knezevic M. Modelling recrystallization textures driven by intragranular fluctuations implemented in the viscoplastic self-consistent formulation. Acta Mater. 2019;164:530\u201346.","journal-title":"Acta Mater"}],"container-title":["Advanced Modeling and Simulation in Engineering Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1186\/s40323-019-0139-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1186\/s40323-019-0139-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1186\/s40323-019-0139-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,9,26]],"date-time":"2023-09-26T23:10:20Z","timestamp":1695769820000},"score":1,"resource":{"primary":{"URL":"https:\/\/amses-journal.springeropen.com\/articles\/10.1186\/s40323-019-0139-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,2,15]]},"references-count":70,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2020,12]]}},"alternative-id":["139"],"URL":"https:\/\/doi.org\/10.1186\/s40323-019-0139-6","relation":{},"ISSN":["2213-7467"],"issn-type":[{"value":"2213-7467","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,2,15]]},"assertion":[{"value":"18 October 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"28 December 2019","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"15 February 2020","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"Not applicable.","order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Acknowlegements"}},{"value":"All authors contributed to the development of the novel theory and methods presented in the paper. The first author, KCB, was responsible for inter-granular mechanics and derivation of inter-granular plasticity Eshelby-like tensor, as well as numerical implementation. MZ developed the theory and implementation for the novel concentration tensors. DJL developed methods and algorithms utilized for numerical solution and contributed to theory development. RAL contributed to theory and method development, and coordinated research collaboration. All authors read and approved the final manuscript.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Authors\u2019 contributions"}},{"value":"This research was sponsored by Los Alamos National Laboratory (LANL) Directed Research and Development (LDRD) project 20180441ER and by the B61 Legacy Program at Los Alamos National Laboratory. This work was performed under the auspices of the U.S. Department of Energy under contract DE-AC52-06NA25396.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Funding"}},{"value":"Data sharing not applicable to this article as no datasets were generated or analyzed during the current study","order":4,"name":"Ethics","group":{"name":"EthicsHeading","label":"Availability of data and materials"}},{"value":"The authors declare that they have no competing interests.","order":5,"name":"Ethics","group":{"name":"EthicsHeading","label":"Competing interests"}}],"article-number":"3"}}