Adaptive multiscale homogenization of the lattice discrete particle model for the analysis of damage and fracture in concrete

Rezakhani, Roozbeh; Zhou, Xinbo; Cusatis, Gianluca

doi:10.1016/j.ijsolstr.2017.07.016

Cited by 40 publications

(14 citation statements)

References 38 publications

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“…Since the overall MPM computation follows explicit schemes, care should be taken to choose sufficiently small loading steps to ensure the accuracy of the simulation results. Further studies are needed to find more efficient solutions schemes, ie, adaptive multiscale homogenization, to mitigate the computational cost of the multiscale modeling. It is also desired to enrich the functionalities of current multiscale approach by considering grain morphology, particle breakage, or hydro‐mechanical coupling .…”

Section: Discussionmentioning

confidence: 99%

Multiscale modeling of large deformation in geomechanics

Liang

Zhao

2019

Num Anal Meth Geomechanics

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Summary Large deformation soil behavior underpins the operation and performance for a wide range of key geotechnical structures and needs to be properly considered in their modeling, analysis, and design. The material point method (MPM) has gained increasing popularity recently over conventional numerical methods such as finite element method (FEM) in tackling large deformation problems. In this study, we present a novel hierarchical coupling scheme to integrate MPM with discrete element method (DEM) for multiscale modeling of large deformation in geomechanics. The MPM is employed to treat a typical boundary value problem that may experience large deformation, and the DEM is used to derive the nonlinear material response from small strain to finite strain required by MPM for each of its material points. The proposed coupling framework not only inherits the advantages of MPM in tackling large deformation engineering problems over the use of FEM (eg, no need for remeshing to avoid mesh distortion in FEM), but also helps avoid the need for complicated, phenomenological assumptions on constitutive material models for soil exhibiting high nonlinearity at finite strain. The proposed framework lends great convenience for us to relate rich grain‐scale information and key micromechanical mechanisms to macroscopic observations of granular soils over all deformation levels, from initial small‐strain stage en route to large deformation regime before failure. Several classic geomechanics examples are used to demonstrate the key features the new MPM/DEM framework can offer on large deformation simulations, including biaxial compression test, rigid footing, soil‐pipe interaction, and soil column collapse.

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Section: Discussionmentioning

confidence: 99%

Multiscale modeling of large deformation in geomechanics

Liang

Zhao

2019

Num Anal Meth Geomechanics

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“…Several discrete methods deserve special attention in the context of an adequate description of the failure of concretes and other brittle porous materials in the range of scales. The Lattice Discrete Particle Model (LDPM) developed by G. Cusatis et al represents concrete as an ensemble of polyhedral aggregates implemented in a matrix as a binding medium [ 52 , 53 ] and connected through a 3D lattice. Input model parameters are typical material parameters including elastic moduli, compressive and shear strengths, parameters of the post-peak softening curve, friction coefficient, etc.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Mechanical Effect of Free Water on the Dynamic Compressive Strength and Fracture of High-Strength Concrete

Shilko

Konovalenko

2021

Materials

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It is well-known that the effect of interstitial fluid on the fracture pattern and strength of saturated high-strength concrete is determined by qualitatively different mechanisms at quasi-static and high strain rate loading. This paper shows that the intermediate range of strain rates (10−4 s−1 < ε˙ < 100 s−1) is also characterized by the presence of a peculiar mechanism of interstitial water effect on the concrete fracture and compressive strength. Using computer simulations, we have shown that such a mechanism is the competition of two oppositely directed processes: deformation of the pore space, which leads to an increase in pore pressure; and pore fluid flow. The balance of these processes can be effectively characterized by the Darcy number, which generalizes the notion of strain rate to fluid-saturated material. We have found that the dependence of the compressive strength of high-strength concrete on the Darcy number is a decreasing sigmoid function. The parameters of this function are determined by both low-scale (capillary) and large-scale (microscopic) pore subsystems in a concrete matrix. The capillary pore network determines the phenomenon of strain-rate sensitivity of fluid-saturated concrete and logistic form of the dependence of compressive strength on strain rate. Microporosity controls the actual boundary of the quasi-static loading regime for fluid-saturated samples and determines localized fracture patterns. The results of the study are relevant to the design of special-purpose concretes, as well as the assessment of the limits of safe impacts on concrete structural elements.

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“…[40][41][42][43] Recently, some adjustments have been applied to the method to make it suitable for damage localization problems, [44][45][46] including the multiscale aggregating discontinuities method 47 and coupled-volume multiscale model. 48,49 The apparent advantage of computational homogenization method is that it transfers the information from mesoscale to macroscale. There is no need to combine different scale regions into a whole model.…”

Section: Introductionmentioning

confidence: 99%

Domain information transfer method and its application in quasi-brittle failure analysis

Sun

Gao

2019

Advances in Mechanical Engineering

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This article presents a domain information transfer method for the purpose of quasi-brittle failure analysis. It contains two separated computational levels. On macroscopic level, the material domains are viewed as elementary substances which construct the whole structure. The macroscopic governing equations are established based on this point of view and the boundary displacements of material domains are defined as basic unknowns. Each damaged material domain will be assigned a mesoscale model and the information transfer mechanism from a mesoscale domain to a macroscale domain is established. The damage localization phenomenon is equivalently represented on macroscopic level by boundary deformation of material domains and the macroscale meshes are invariant during analysis. The information exchange element based on nonlocal quadrature scheme is proposed and the efficient upscaling is realized. The proposed method is an efficient and flexible way for quasi-brittle failure analysis.

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Adaptive multiscale homogenization of the lattice discrete particle model for the analysis of damage and fracture in concrete

Cited by 40 publications

References 38 publications

Multiscale modeling of large deformation in geomechanics

Multiscale modeling of large deformation in geomechanics

Nonlinear Mechanical Effect of Free Water on the Dynamic Compressive Strength and Fracture of High-Strength Concrete

Domain information transfer method and its application in quasi-brittle failure analysis

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