Fourth‐order phase field model with spectral decomposition for simulating fracture in hyperelastic material

2021 ◽  
Author(s):  
Fan Peng ◽  
Wei Huang ◽  
Yu'e Ma ◽  
Zhi‐Qian Zhang ◽  
Nanke Fu
Keyword(s):  
Fourth Order ◽  
Phase Field ◽  
Spectral Decomposition ◽  
Field Model ◽  
Phase Field Model ◽  
Hyperelastic Material

scholarly journals Fourth order phase-field model for local max-ent approximants applied to crack propagation

2016 ◽  
Vol 312 ◽  
pp. 254-275 ◽  
Author(s):  
Fatemeh Amiri ◽  
Daniel Millán ◽  
Marino Arroyo ◽  
Mohammad Silani ◽  
Timon Rabczuk
Keyword(s):  
Crack Propagation ◽  
Fourth Order ◽  
Phase Field ◽  
Field Model ◽  
Phase Field Model

Conservational integrals of the fourth-order phase field model for brittle fracture via Noether theorem

2021 ◽  
Vol 245 ◽  
pp. 107590
Author(s):  
Fan Peng ◽  
Wei Huang ◽  
Zhi-Qian Zhang ◽  
Tian Fu Guo ◽  
Yu.E. Ma ◽  
...  
Keyword(s):  
Brittle Fracture ◽  
Fourth Order ◽  
Phase Field ◽  
Field Model ◽  
Phase Field Model ◽  
Noether Theorem

MARMOT Phase-Field Model for the U-Si System

2016 ◽  
Author(s):  
Larry Kenneth Aagesen ◽  
Daniel Schwen
Keyword(s):  
Phase Field ◽  
Field Model ◽  
Phase Field Model

scholarly journals Phase-field modeling of grain evolutions in additive manufacturing from nucleation, growth, to coarsening

2021 ◽  
Vol 7 (1) ◽  
Author(s):  
Min Yang ◽  
Lu Wang ◽  
Wentao Yan
Keyword(s):  
Additive Manufacturing ◽  
Phase Field ◽  
Field Model ◽  
Three Dimensional ◽  
Phase Field Model ◽  
Nucleation Theory ◽  
Experimental Result ◽  
Classical Nucleation Theory ◽  
Validation Experiment ◽  
Powder Particles

AbstractA three-dimensional phase-field model is developed to simulate grain evolutions during powder-bed-fusion (PBF) additive manufacturing, while the physically-informed temperature profile is implemented from a thermal-fluid flow model. The phase-field model incorporates a nucleation model based on classical nucleation theory, as well as the initial grain structures of powder particles and substrate. The grain evolutions during the three-layer three-track PBF process are comprehensively reproduced, including grain nucleation and growth in molten pools, epitaxial growth from powder particles, substrate and previous tracks, grain re-melting and re-growth in overlapping zones, and grain coarsening in heat-affected zones. A validation experiment has been carried out, showing that the simulation results are consistent with the experimental results in the molten pool and grain morphologies. Furthermore, the grain refinement by adding nanoparticles is preliminarily reproduced and compared against the experimental result in literature.

A two-scale iterative scheme for a phase-field model for precipitation and dissolution in porous media

2021 ◽  
Vol 396 ◽  
pp. 125933
Author(s):  
Manuela Bastidas Olivares ◽  
Carina Bringedal ◽  
Iuliu Sorin Pop
Keyword(s):  
Porous Media ◽  
Phase Field ◽  
Field Model ◽  
Iterative Scheme ◽  
Phase Field Model
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