SPI-MIONet for surrogate modeling in phase-field hydraulic fracturing

Artificial neural networks and deep learning (68T07) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Cites Work

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A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits
Numerical experiments in revisited brittle fracture
Revisiting brittle fracture as an energy minimization problem
A variational phase-field model for hydraulic fracturing in porous media
A review on phase-field models of brittle fracture and a new fast hybrid formulation
Data-driven fracture mechanics
When and why PINNs fail to train: a neural tangent kernel perspective
Physics-informed neural network simulation of multiphase poroelasticity using stress-split sequential training
Scientific machine learning through physics-informed neural networks: where we are and what's next
\(\mathrm{SO}(3)\)-invariance of informed-graph-based deep neural network for anisotropic elastoplastic materials
Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations
Pressure and fluid-driven fracture propagation in porous media using an adaptive finite element phase field model
General theory of three-dimensional consolidation.
A physics-informed variational DeepONet for predicting crack path in quasi-brittle materials
Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations
Approximation of functional depending on jumps by elliptic functional via t-convergence
Elastic crack growth in finite elements with minimal remeshing
MIONet: Learning Multiple-Input Operators via Tensor Product
VI. The phenomena of rupture and flow in solids
Modeling Fractures and Barriers as Interfaces for Flow in Porous Media
A framework to model the hydraulic fracturing with thermo-hydro-mechanical coupling based on the variational phase-field approach

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