A micro-mechanics based plastic damage model for quasi-brittle materials under a large range of compressive stress

Zhao, Lun‐Yang; Zhu, Qi‐Zhi; Shao, Jian‐Fu

doi:10.1016/j.ijplas.2017.10.004

Cited by 96 publications

(33 citation statements)

References 41 publications

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“…e softening phase after the peak stress in experiments of the sandstone cannot be correctly described by the proposed model. According to Zhao et al [40], the hardening curve tends to be more smooth with a smaller value of n in (26).…”

Section: Assessment Of the Micromechanics-based Modified Modelmentioning

confidence: 95%

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A Modified Micro-Macro Constitutive Model for Porous Rocks with Pressure-Sensitive Matrix by considering a New Hardening Law

Yang¹,

Zhu²,

Xu³

et al. 2021

Mathematical Problems in Engineering

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This paper aims mainly at providing an incremental elastoplastic constitutive model for heterogeneous porous rock-like materials in the frame of micromechanics. The studied material is considered to be made up of randomly distributed spherical pores embedded in a pressure-sensitive solid matrix obeying Drucker–Prager yield function. The effective elastic properties of porous rocks are obtained by the use of Mori and Tanaka homogenization scheme, which are on function of the bulk and shear moduli of the solid matrix and of the value of porosity. For the macroscopic nonlinear phase, a limit analysis-based macroscopic criterion is adopted to derive the basic constitutive rule by considering an associated plastic flow rule. In order to capture the typical hardening effects of rocks, an originally proposed hardening function of the solid matrix is also taken into consideration, which is related on the accumulated equivalent plastic strain. In order to verify its accuracy, the proposed micro-macro constitutive model is implemented by a numerical procedure including elastic predictions and plastic corrections and compared to experimental results of triaxial compression tests of sandstone with different confining pressures. It is observed that the numerical simulation is in accord with the experimental data, indicating that the obtained model is able to predict the main mechanical behaviours of rock-like materials.

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Section: Assessment Of the Micromechanics-based Modified Modelmentioning

confidence: 95%

“…) is a dimensionless parameter related to the current local equivalent plastic strain ε p d and to the critical value at peak stress ε p,m d . is proposed hardening function is partly inspired from the research on the plastic damage model [40] of rocks, in which ((nε…”

Section: Consideration Of Hardening Effects With a New Hardeningmentioning

confidence: 99%

A Modified Micro-Macro Constitutive Model for Porous Rocks with Pressure-Sensitive Matrix by considering a New Hardening Law

Yang¹,

Zhu²,

Xu³

et al. 2021

Mathematical Problems in Engineering

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show abstract

“…It is still dubious whether the model is applicable for a composite under a complex load case. Zhao et al 26 proposed a plastic damage model for a composite at micro scale, where the damage of matrix is simulated by the variation of micro-crack density, and the plastic deformation is described by frictional sliding along micro-cracks. However, the interface damage is not accounted for in their model.…”

Section: A Micromechanics Based Elastoplastic Damage Model For Unidirmentioning

confidence: 99%

“…E ef 22 and Gef 12 are longitudinal Young's, transverse Young's, and longitudinal shear moduli of an equivalent fiber, whose expressions are given by Eq (26)…”

mentioning

confidence: 99%

A micromechanics based elasto-plastic damage model for unidirectional composites under off-axis tensile loads

Wang

Chen

et al. 2020

Sci Rep

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Nonlinear properties of composite materials are essential for their engineering application. In this work, a three-phase micromechanics bridging model is employed to evaluate the nonlinear behavior of a composite from properties of fiber, matrix and interphase. It is assumed that the matrix elastoplasticity and the interface damage are two major sources of the nonlinearity. The former is described by the J2 flow rule. The latter is approximated by an interphase with stiffness degradation. For an interphase, an equivalent damage stress is introduced to account for the effect of normal and shear stress on the interface damage growth. Further, an explicit empirical equation is developed to relate the equivalent damage stress and the stiffness degradation of an interphase. The present elasto-plastic damage model is validated by comparing with experimental data of a series of composites under off-axis tensile loads.

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“…Zhu (2017) developed a damage micromechanical constitutive model for porous rocks through a combining consideration of continuum micromechanics and thermodynamic theory, in which the quasi-brittle rock materials were regarded as three-phase systems with rock skeleton without the porosity, the initial pores, and the new cracks. Zhao et al. (2018a) proposed a micromechanics-based plastic damage model for quasi-brittle porous rocks with the Mori–Tanaka homogenization procedure and thermodynamic framework.…”

Section: Introductionmentioning

confidence: 99%

A micromechanics-based elastoplastic constitutive model for frozen sands based on homogenization theory

Liu

2019

International Journal of Damage Mechanics

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A micromechanics-based constitutive model is formulated to describe the nonlinear elastoplastic behaviors of frozen sands. In the model, frozen soils are conceptualized as two-phase materials, in which the first phase is regarded as virgin/undamaged frozen soil specimen including the components of soil particles, ice crystals, and partial water with elastic–brittle behaviors (bonded elements), and the second phase is treated as fully damaged soil sample including soil particles and unfrozen water with elastoplastic behaviors (frictional elements). The interactions between bonded elements and frictional elements are well considered in the representative volume element within the framework of continuum micromechanics and homogenization theory. Moreover, the non-uniform distribution of strain is taken into account and the breakage process is considered due to the structural degradation/loss of ice crystals in the representative volume element. It is found that the ice crystals are gradually breaking up and then melting into unfrozen water with the increase of external loads, so at the moment the bonded elements are considered to transform into frictional elements and then both elements bear the external loads collectively. A novel binary-medium constitutive model is established by the Mori–Tanaka technique and then validated by two groups of laboratory tests about frozen soils and unfrozen sands under conventional triaxial compression conditions. Eventually, the predictions demonstrate that the theoretical calibrations are well in agreement with the available experimental stress–strain responses.

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A micro-mechanics based plastic damage model for quasi-brittle materials under a large range of compressive stress

Cited by 96 publications

References 41 publications

A Modified Micro-Macro Constitutive Model for Porous Rocks with Pressure-Sensitive Matrix by considering a New Hardening Law

A Modified Micro-Macro Constitutive Model for Porous Rocks with Pressure-Sensitive Matrix by considering a New Hardening Law

A micromechanics based elasto-plastic damage model for unidirectional composites under off-axis tensile loads

A micromechanics-based elastoplastic constitutive model for frozen sands based on homogenization theory

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