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On the energy decomposition in variational phase-field models for brittle fracture under multi-axial stress states
Phase-field models of brittle fracture are typically endowed with a decomposition of the elastic strain energy density in order to realistically...
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A comparative analysis of continuum plasticity, viscoplasticity and phase-field models for earthquake sequence modeling
This paper discusses continuum models for simulating earthquake sequences on faults governed by rate-and-state dependent friction. Through detailed...
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Fractional physics-informed neural networks for time-fractional phase field models
In this paper, a new fractional physics-informed neural networks (fPINNs) is proposed, which combines fPINNs with spectral collocation method to...
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HPC Finite Element Solvers for Phase-Field Models for Fracture in Solids
Finite element approximations of phase-field models for fracture are often used to simulate cracking processes in solids and structures. However,...
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Phase-field Modeling of Brittle Failure in Rockslides
In this paper, we use a phase-field model with the mixed-mode fracture driving forces to study the brittle failure in rockslides. Our phase-field...
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An arc-length control technique for solving quasi-static fracture problems with phase field models and a staggered scheme
This paper describes a new arc-length control procedure for tracing the equilibrium curve of brittle fracture problems modeled with a phase field...
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A comparative review of peridynamics and phase-field models for engineering fracture mechanics
Computational modeling of the initiation and propagation of complex fracture is central to the discipline of engineering fracture mechanics. This...
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Variational approach to viscoelastic fracture: comparison of a phase-field and a lip-field approach
Fracture of viscoelastic materials is considered to be a complex phenomenon due to their highly rate sensitive behavior. In this context, we are...
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A Review on Phase-Field Models Applied to Fracture in Solids
In circumstances with complicated crack topologies, computer modelling of fracture processes in solids that consider cracks as sharp discontinuities...
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Phase Field Simulations for Fatigue Failure Prediction in Manufacturing Processes
Fatigue failure is one of the most crucial issues in manufacturing and engineering processes. Stress cycles can cause cracks to form and grow over...
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A micromorphic phase-field model for brittle and quasi-brittle fracture
In this manuscript, a robust and variationally consistent technique is proposed for local treatment of the phase-field fracture irreversibility. This...
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Truncated nonsmooth Newton multigrid for phase-field brittle-fracture problems, with analysis
We propose the truncated nonsmooth Newton multigrid method (TNNMG) as a solver for the spatial problems of the small-strain brittle-fracture...
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Numerical Modelling for the Phase Change of the Sodium Sulfate Decahydrate Based on the Phase Field Theory
Sodium sulfate decahydrate (Na2SO4·10H2O) can be utilized as a type of latent-heat energy storage material with satisfied heat storage capacity as...
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Virtual clustering analysis for phase field model of quasi-static brittle fracture
In this paper, we develop a Virtual Clustering Analysis method for a phase field model of brittle fracture. In addition to the strain/stress field,...
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Continuum-kinematics-based peridynamics and phase-field approximation of non-local dynamic fracture
In this work, two non-local approaches to dynamic fracture are investigated: a novel peridynamic formulation and a variational phase-field approach....
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An efficient phase-field model of shear fractures using deviatoric stress split
We propose a phase-field model of shear fractures using the deviatoric stress decomposition. This choice allows us to use general three-dimensional...
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Incremental alternating algorithm for damage and fracture modeling using phase-field method
In this work, the investigation was conducted on the introduction of an incremental alternating algorithm for damage and fracture modeling using...
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A Phase-Field Approach to Pneumatic Fracture
Phase-field models have been proven to be reliable methods for the simulation of complex crack patterns and crack propagation. In this contribution...
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Irreversible phase field models for crack growth in industrial applications: thermal stress, viscoelasticity, hydrogen embrittlement
Three new industrial applications of irreversible phase field models for crack growth are presented in this study. The phase field model for...
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Accelerating a phase field method by linearization for eigenfrequency topology optimization
Topology optimization of eigenfrequencies has significant applications in science, engineering, and industry. Eigenvalue problems as constraints of...
