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Phase Field
In the formulation of the diffuse interfaceInterfacediffuse (Sect. 1.2 ), the order parameter...
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Phase Field Theory in Materials Physics The Hodograph Equation
This book deals with the use of the hodograph equation in phase transformations in condensed matter, especially, for crystallization and...
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Electric field-induced morphological changes on polymer surface using phase-field model
We propose a method for controlling the formation of microarray structures on the surface by using an electric field. In this study, a phase field...
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Quantum Phase Field
In this chapter a new paradigm for the understanding of the physical world is developed based on phase-field type non-linear wave solutions. Two...
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RIS-assisted near-field localization using practical phase shift model
Our research focuses on examining the problem of localizing user equipment (UE) in the uplink scenario using reconfigurable intelligent surfaces...
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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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A length insensitive modified phase field model for quasi-brittle failure and brittle fracture
In response to the problem that the standard AT2 phase field model cannot effectively model quasi-brittle failure and the existence of length...
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Linear and Nonlinear Formulation of Phase Field Model with Generalized Polynomial Degradation Functions for Brittle Fractures
The classical phase field model has wide applications for brittle materials, but nonlinearity and inelasticity are found in its stress–strain curve....
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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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A Phase-Field Model for Structural Damage in Polytetrafluoroethylene (PTFE)
Deformation of polymers, due to their molecular structures, as well as their motion and relaxation mechanisms, are greatly influenced by temperature...
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Sudden change of the photon output field marks phase transitions in the quantum Rabi model
The experimental observation of quantum phase transitions predicted by the quantum Rabi model in quantum critical systems is usually challenging due...
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Predicting mechanical failure of polycrystalline dual-phase nickel-based alloys by numerical homogenization using a phase field damage model
Brazing of nickel-based alloys plays a major role in the assembly of turbine components, e.g., abradable sealing systems. In a brazed joint of...
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Strengthening mechanism of steel fiber in UHPC: A new fracture phase field model
The engineering optimization of ultra-high strength concrete (UHPC) requires urgent exploration of the strengthening mechanism of steel fiber in UHPC...
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Global weak solutions to a phase-field model for seawater solidification with melt convection
This paper is concerned with the study of mathematical analysis of a phase-field model of solidification with the possibility of flow occurring in...
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A Thermal–Hydraulic–Mechanical–Chemical Coupling Model for Acid Fracture Propagation Based on a Phase-Field Method
Acid fracturing is a technique to enhance productivity in carbonate formations. In this work, a thermal–hydraulic–mechanical–chemical (THMC) coupling...
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Recent research progress on the phase-field model of microstructural evolution during metal solidification
Solidification structure is a key aspect for understanding the mechanical performance of metal alloys, wherein composition and casting parameters...
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A regularized phase field model for solid–fluid dynamics description
Usually, Lagrangian or Eulerian–Lagrangian descriptions of motion are adopted to model interaction of fluids and deformable solid bodies. However, in...
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Multi-Phase-Field Approach
In this chapter the extension of a phase-field model for two phases to multiple phases is presented. This relates to the treatment of triple lines...
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An adapted energy dissipation law-preserving numerical algorithm for a phase-field surfactant model
The phase-field surfactant model is popular to study the dynamics of surfactant-laden phase separation in a binary mixture. In this work, we...
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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...