Fourth-order hybrid phase field analysis with non-equal order elements and dual meshes for simulating crack propagation

2022 ◽  
Vol 142 ◽  
pp. 104587
Author(s):  
Feng Zhu ◽  
Hongxiang Tang ◽  
Xue Zhang ◽  
George Papazafeiropoulos
Keyword(s):  
Crack Propagation ◽  
Fourth Order ◽  
Phase Field ◽  
Field Analysis

Adaptive fourth-order phase field analysis using deep energy minimization

2020 ◽  
Vol 107 ◽  
pp. 102527
Author(s):  
Somdatta Goswami ◽  
Cosmin Anitescu ◽  
Timon Rabczuk
Keyword(s):  
Fourth Order ◽  
Phase Field ◽  
Energy Minimization ◽  
Field Analysis

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

Adaptive fourth-order phase field analysis for brittle fracture

2020 ◽  
Vol 361 ◽  
pp. 112808 ◽  
Author(s):  
Somdatta Goswami ◽  
Cosmin Anitescu ◽  
Timon Rabczuk
Keyword(s):  
Brittle Fracture ◽  
Fourth Order ◽  
Phase Field ◽  
Field Analysis

scholarly journals 815 Phase-field analysis of crack propagation and dislocation emission at crack tip

2011 ◽  
Vol 2011.24 (0) ◽  
pp. 257-258
Author(s):  
Yuita TAKENAKA ◽  
Hideki MORI ◽  
Hajime KIMIZUKA ◽  
Shigenobu OGATA
Keyword(s):  
Crack Propagation ◽  
Phase Field ◽  
Crack Tip ◽  
Field Analysis ◽  
Dislocation Emission

scholarly journals Crack propagation in quasi-brittle materials by fourth-order phase-field cohesive zone model

2022 ◽  
pp. 103236
Author(s):  
Khuong D. Nguyen ◽  
Cuong-Le Thanh ◽  
Frank Vogel ◽  
H. Nguyen-Xuan ◽  
M. Abdel-Wahab
Keyword(s):  
Crack Propagation ◽  
Fourth Order ◽  
Phase Field ◽  
Cohesive Zone ◽  
Cohesive Zone Model ◽  
Brittle Materials ◽  
Zone Model

scholarly journals Kinetic transition in the order–disorder transformation at a solid/liquid interface

2018 ◽  
Vol 376 (2113) ◽  
pp. 20170207 ◽  
Author(s):  
P. K. Galenko ◽  
I. G. Nizovtseva ◽  
K. Reuther ◽  
M. Rettenmayr
Keyword(s):  
Long Range ◽  
Phase Field ◽  
Order Parameter ◽  
Numerical Solutions ◽  
Liquid Interface ◽  
Range Order ◽  
Field Analysis ◽  
Range Order Parameter ◽  
Long Range Order ◽  
Kinetic Transition

Phase-field analysis for the kinetic transition in an ordered crystal structure growing from an undercooled liquid is carried out. The results are interpreted on the basis of analytical and numerical solutions of equations describing the dynamics of the phase field, the long-range order parameter as well as the atomic diffusion within the crystal/liquid interface and in the bulk crystal. As an example, the growth of a binary A 50 B 50 crystal is described, and critical undercoolings at characteristic changes of growth velocity and the long-range order parameter are defined. For rapidly growing crystals, analogies and qualitative differences are found in comparison with known non-equilibrium effects, particularly solute trapping and disorder trapping. The results and model predictions are compared qualitatively with results of the theory of kinetic phase transitions (Chernov 1968 Sov. Phys. JETP 26 , 1182–1190) and with experimental data obtained for rapid dendritic solidification of congruently melting alloy with order–disorder transition (Hartmann et al. 2009 Europhys. Lett. 87 , 40007 ( doi:10.1209/0295-5075/87/40007 )). This article is part of the theme issue ‘From atomistic interfaces to dendritic patterns’.

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