journal article·2025-09Open access

Effects of pores and inclusions on the elastoplastic behaviors of heterogeneous rock-like materials at same scale

Ruilang Cao, Zhimin Wang, Lei Peng, Liu Hu, Dejun Liu, Jianping Zuo, Mingyao Li

Abstract

The macroscopic mechanical behaviors of rock-like materials are influences by the microscopic features such as pores and mineral particles. However, most analytical solutions focus on the porosity or volume fraction of inclusions and generally consider this heterogeneity at different scales. In this paper, the traditional molecular dynamics based micromechanical modeling method is improved and combined with a Fast Fourier Transform (FFT) based numerical homogenization approach to investigate the effects of pores and inclusions, specifically their size, distribution, shape, and orientation, on the elastoplastic behavior of rock-like materials at the same scale. The macroscopic mechanical behaviors are investigated by considering perfect elastic mineral inclusions and pores distributed inside an elastoplastic solid matrix. Based on a series of numerical simulations, it is found that the distribution, the size, the shape and the orientation of pores and inclusions significantly influence the mechanical behaviors of rock-like materials. According to the microscopic stress distribution nephogram provided by the full field simulation, it is indicated that the essential reason for these effects lies in the different microscopic stresses induced by different microstructures of the pores and the inclusions. In particular, the interaction between pores and inclusions is quite strong and the presence of pores generally reduces the high stress area induce by the inclusions.
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Research context

OpenAlex topics: Rock Mechanics and Modeling · Geotechnical and Geomechanical Engineering · Composite Material Mechanics

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (46)

Show source-provided references
1. Effects of mineral distribution at mesoscopic scale on solute diffusion in a clay-rich rock: Example of the Callovo-Oxfordian mudstone (Bure, France)10.1029/2011WR011352 ↗
2. Effect of multi-minerals on the mechanical behavior and pore structure of fiber reinforced internal-cured green concrete10.1016/j.jclepro.2022.132075 ↗
3. Modelling the creep behaviour and induced failure of clay rock from microscale viscosity to large-scale time-dependant gallery convergences using a multiscale numerical approach10.1016/j.compgeo.2023.105691 ↗
4. Generalization of Maxwell homogenization scheme for elastic material containing inhomogeneities of diverse shape10.1016/j.ijengsci.2012.12.004 ↗
5. A kinematically enhanced constitutive model for elastic and inelastic analysis of unidirectional fibre reinforced composite materials10.1016/j.ijmecsci.2017.03.027 ↗
6. Computation of effective elastic moduli of rocks using hierarchical homogenization10.1016/j.jmps.2023.105268 ↗
7. Microstructure characterizations, thermal properties, yield stress, plastic viscosity and compression strength of cement paste modified with nanosilica10.1016/j.jmrt.2020.07.083 ↗
8. A variational-based homogenization model for plastic shakedown analysis of porous materials with a large range of porosity10.1016/j.ijmecsci.2021.106429 ↗
9. Influence of temperature- and phase-dependent yield strength on residual stresses in ultra-high strength steel S960 weldments10.1016/j.jmrt.2021.09.050 ↗
10. A multiscale analysis of instability-induced failure mechanisms in fiber-reinforced composite structures via alternative modeling approaches10.1016/j.compstruct.2020.112529 ↗
11. Enhanced strength and fracture features of tailings-based concrete reinforced with fibers and X-shaped rocks10.1016/j.jmrt.2025.03.118 ↗
12. Microporomechanics of quasi-brittle rocks: Theoretical formulations and analytical simulations10.1016/j.ijplas.2023.103789 ↗
13. Evaluation and improvement of macroscopic yield criteria of porous media having a Drucker-Prager matrix10.1016/j.ijplas.2019.09.015 ↗
14. The roles of micro pores and minerals in shale during hydraulic fracturing10.1007/s00603-024-04063-6 ↗
15. An incremental micro-macro model for porous geomaterials with double porosity and inclusion10.1016/j.ijplas.2016.04.002 ↗
16. Effects of inclusions and pores on plastic and viscoplastic deformation of rock-like materials10.1016/j.ijplas.2018.04.015 ↗
17. Microstructure effect of mechanical and cracking behaviors on brittle rocks using image-based fast Fourier transform method10.1016/j.jrmge.2024.05.044 ↗
18. Quantitative visualization methods for continuous evolution of three-dimensional discontinuous structures and stress field in subsurface rock mass induced by excavation and construction - An overview10.1016/j.enggeo.2019.105443 ↗
19. A micro–macro model for clayey rocks with a plastic compressible porous matrix10.1016/j.ijplas.2012.03.006 ↗
20. An original constitutive law for Callovo-Oxfordian argillite, a two-scale double-porosity material10.1016/j.clay.2013.05.003 ↗
21. Yvonnet · 2019
22. A phase field method to simulate crack nucleation and propagation in strongly heterogeneous materials from direct imaging of their microstructure10.1016/j.engfracmech.2015.03.045 ↗
23. Numerical study of mesoscopic cracking behaviors in heterogeneous rocks using deep learning and improved phase-field model10.1016/j.engfailanal.2025.109871 ↗
24. Eco-friendly strength enhancement of cement mortar: Biochar integration and mesostructure-based phase-field modeling10.1016/j.conbuildmat.2025.142035 ↗
25. Study of the damage and cracking of heterogeneous rocks based on the FFT method - A comparison of computer generation and image reconstruction models10.1016/j.enggeo.2023.107284 ↗
26. Numerical homogenization study on the effects of columnar jointed structure on the mechanical properties of rock mass10.1016/j.ijrmms.2019.104127 ↗
27. Size effect in heterogeneous materials analyzed through a lattice discrete element method approach10.1016/j.engfracmech.2020.107041 ↗
28. A fully automated numerical tool for a comprehensive validation of homogenization models and its application to spherical particles reinforced composites10.1016/j.ijsolstr.2012.02.021 ↗
29. A damage model of mechanical behavior of porous materials: Application to sandstone10.1177/1056789516685379 ↗
30. A review of nonlinear FFT-based computational homogenization methods10.1007/s00707-021-02962-1 ↗
31. FFT based approaches in micromechanics: fundamentals, methods and applications10.1088/1361-651X/ac34e1 ↗
32. A computational scheme for linear and non-linear composites with arbitrary phase contrast10.1002/nme.275 ↗
33. FFT-based methods for the mechanics of composites: A general variational framework10.1016/j.commatsci.2010.06.009 ↗
34. A polarization-based FFT iterative scheme for computing the effective properties of elastic composites with arbitrary contrast10.1002/nme.3295 ↗
35. A multi-scale model of plasticity and damage for rock-like materials with pores and inclusions10.1016/j.ijrmms.2020.104579 ↗
36. A novel FFT-based phase field model for damage and cracking behavior of heterogeneous materials10.1016/j.ijplas.2020.102786 ↗
37. The influence of mineral inclusion on the effective strength of rock-like geomaterials10.1016/j.ijplas.2024.104104 ↗
38. Numerical homogenization of elastic properties and plastic yield stress of rock-like materials with voids and inclusions at same scale10.1016/j.euromechsol.2020.103958 ↗
39. Determination of the REV size for heterogeneous rocks with different grain sizes: Deep learning and numerical approaches10.1016/j.ijrmms.2024.105940 ↗
40. Generation of 3D representative volume elements for heterogeneous materials: A review10.1016/j.pmatsci.2018.02.003 ↗
41. Predicting the effective mechanical property of heterogeneous materials by image based modeling and deep learning10.1016/j.cma.2019.01.005 ↗
42. Random generation of periodic hard ellipsoids based on molecular dynamics: A computationally-efficient algorithm10.1016/j.jcp.2013.07.004 ↗
43. Multiscale modelling of hydro-mechanical couplings in quasi-brittle materials10.1007/s10704-016-0139-1 ↗
44. Micromechanical analysis of the nonlinear behavior of porous geomaterials based on the fast Fourier transform10.1016/j.compgeo.2012.05.018 ↗
45. A numerical study of effective mechanical behaviors of rock like materials based on Fast Fourier Transform10.1016/j.mechmat.2015.10.004 ↗
46. Experimental and numerical investigation of microstructure effect on the mechanical behavior and failure process of brittle rocks10.1016/j.compgeo.2020.103639 ↗