Phase-field model for brittle fracture. Validation with experimental results and extension to dam engineering problems

Santillán, David; Feijóo, Juan Carlos Mosquera; Cueto‐Felgueroso, Luis

doi:10.1016/j.engfracmech.2017.04.020

Cited by 42 publications

(25 citation statements)

References 52 publications

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“…This framework was extended to dynamic problems (Hofacker & Miehe, , ), coupled to thermomechanic problems at large strains (Miehe, Schänzel, & Ulmer, ), and adapted to simulate ductile fracture coupled with thermoplasticity at finite strains (Miehe, Hofacker, et al, ). It has been validated using experimental observations and applied to academic engineering problems for simulating the fracture of two full‐scale concrete dams (Santillán et al, ) and to characterize the influence of heterogeneous mechanical properties on the trajectories of hydraulic fractures propagating in elastic media (Santillán et al, ).…”

Section: Introductionmentioning

confidence: 99%

Phase Field Model of Hydraulic Fracturing in Poroelastic Media: Fracture Propagation, Arrest, and Branching Under Fluid Injection and Extraction

2018

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The simulation of fluid‐driven fracture propagation in a porous medium is a major computational challenge, with applications in geosciences and engineering. The two main families of modeling approaches are those models that represent fractures as explicit discontinuities and solve the moving boundary problem and those that represent fractures as thin damaged zones, solving a continuum problem throughout. The latter family includes the so‐called phase field models. Continuum approaches to fracture face validation and verification challenges, in particular grid convergence, well posedness, and physical relevance in practical scenarios. Here we propose a new quasi‐static phase field formulation. The approach fully couples fluid flow in the fracture with deformation and flow in the porous medium, discretizes flow in the fracture on a lower‐dimension manifold, and employs the fluid flux between the fracture and the porous solid as coupling variable. We present a numerical assessment of the model by studying the propagation of a fracture in the quarter five‐spot configuration. We study the interplay between injection flow rate and rock properties and elucidate fracture propagation patterns under the leak‐off toughness dominated regime as a function of injection rate, initial fracture length, and poromechanical properties. For the considered injection scenario, we show that the final fracture length depends on the injection rate, and three distinct patterns are observed. We also rationalize the system response using dimensional analysis to collapse the model results. Finally, we propose some simplifications that alleviate the computational cost of the simulations without significant loss of accuracy.

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Section: Introductionmentioning

confidence: 99%

Phase Field Model of Hydraulic Fracturing in Poroelastic Media: Fracture Propagation, Arrest, and Branching Under Fluid Injection and Extraction

2018

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“…Fourth, a fracture is initiated and propagates; the wellbore pressure slowly decreases. Fifth, injection stops, fracture propagation stops, and wellbore pressure rapidly dissipates (Abass et al., 2007; Ahmed et al., 2007; Huang et al., 2012a; Papanastasiou, 2000; Santillán et al., 2017).…”

Section: Model Validationmentioning

confidence: 99%

“…A similar situation pertains with regard to the coupling between fluid flow and solid mechanics. Theoretical and numerical approaches based on Biot's Theory of poroelasticity (Biot, 1941), Terzaghi's effective stress principle (Terzaghi, 1943), and Mixture Theory (Siddique et al., 2017) have been successful at modeling systems with flow in deformable porous media including arteries, biofilms, boreholes, hydrocarbon reservoirs, seismic systems, membranes, soils, swelling clays, and fractures (Auton & MacMinn, 2017; Barry et al., 1997; Jha & Juanes, 2014; Lo et al., 2002, 2005; MacMinn et al., 2016; Mathias et al., 2017; Santillán et al., 2017). However, as mentioned above, we still have very little understanding of how flow‐induced deformation of these solid materials affects the macroscopic flow around them (and thus their boundary conditions) or how fluid‐fluid interfaces behave when pushed against a soft porous medium and vice versa.…”

Section: Introductionmentioning

confidence: 99%

Modeling Multiphase Flow Within and Around Deformable Porous Materials: A Darcy‐Brinkman‐Biot Approach

Carrillo

Bourg

2021

Water Resources Research

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We present a new computational fluid dynamics approach for simulating two‐phase flow in hybrid systems containing solid‐free regions and deformable porous matrices. Our approach is based on the derivation of a unique set of volume‐averaged partial differential equations that asymptotically approach the Navier‐Stokes Volume‐of‐Fluid equations in solid‐free regions and multiphase Biot Theory in porous regions. The resulting equations extend our recently developed Darcy‐Brinkman‐Biot framework to multiphase flow. Through careful consideration of interfacial dynamics (relative permeability and capillary effects) and extensive benchmarking, we show that the resulting model accurately captures the strong two‐way coupling that is often exhibited between multiple fluids and deformable porous media. Thus, it can be used to represent flow‐induced material deformation (swelling, compression) and failure (cracking, fracturing). The model's open‐source numerical implementation, hybridBiotInterFoam, effectively marks the extension of computational fluid mechanics into modeling multiscale multiphase flow in deformable porous systems. The versatility of the solver is illustrated through applications related to material failure in poroelastic coastal barriers and surface deformation due to fluid injection in poro‐visco‐plastic systems.

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“…We adopt the staggered scheme proposed by Miehe et al [43], initially used for solving highly nonlinear fracture mechanics problems. The framework has been validated with experimental observations [44]. This strategy has also been successfully applied for solving highly-nonlinear, fluid-driven fracture propagation simulations in elastic [45] and poroelastic solids [46], and results have been compared with analytical solutions [47].…”

Section: Numerical Implementationmentioning

confidence: 99%

Thermal Simulation of Rolled Concrete Dams: Influence of the Hydration Model and the Environmental Actions on the Thermal Field

Ponce-Farfán

Santillán

Toledo

2020

Water

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Mathematical models for the simulation of the thermal evolution of roller-compacted concrete (RCC) dams during construction constitute an important tool for preventing excessive temperature rise, which may lead to cracking and losses of functionality. Here, we present a framework for the simulation of the thermal process. We define the boundary conditions of the problem using a careful description that incorporates the main heat exchange mechanisms. We adopt both a non-adiabatic and an adiabatic heat generation model for the simulation of the cement hydration. Our numerical framework lets us study the effect of the adopted heat generation model on the thermal field. Moreover, we study the influence of the weather conditions on the evolution of the hydration, and on the starting date of construction. Our simulations have shown that the hydration model has an important influence over the temperature field during the construction and the heat generation rate. Moreover, the hydration process and the temperature evolution are driven by the weather conditions. Once the next lift is cast, its thermal insulation effect makes the hydration take place under quasi-adiabatic conditions. As expected, dams built in cold months are prone to dissipate more heat than those built in warm seasons.

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Phase-field model for brittle fracture. Validation with experimental results and extension to dam engineering problems

Cited by 42 publications

References 52 publications

Phase Field Model of Hydraulic Fracturing in Poroelastic Media: Fracture Propagation, Arrest, and Branching Under Fluid Injection and Extraction

Phase Field Model of Hydraulic Fracturing in Poroelastic Media: Fracture Propagation, Arrest, and Branching Under Fluid Injection and Extraction

Modeling Multiphase Flow Within and Around Deformable Porous Materials: A Darcy‐Brinkman‐Biot Approach

Thermal Simulation of Rolled Concrete Dams: Influence of the Hydration Model and the Environmental Actions on the Thermal Field

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