A modified Gurson-type plasticity model at finite strains: formulation, numerical analysis and phase-field coupling

2017 ◽  
Vol 62 (4) ◽  
pp. 815-833 ◽  
Author(s):  
Fadi Aldakheel ◽  
Peter Wriggers ◽  
Christian Miehe
Keyword(s):  
Numerical Analysis ◽  
Phase Field ◽  
Finite Strains ◽  
Plasticity Model ◽  
Field Coupling

scholarly journals A Modified Phase-Field Damage Model for Metal Plasticity at Finite Strains: Numerical Development and Experimental Validation

Metals ◽  
2020 ◽  
Vol 11 (1) ◽  
pp. 47
Author(s):  
Jelena Živković ◽  
Vladimir Dunić ◽  
Vladimir Milovanović ◽  
Ana Pavlović ◽  
Miroslav Živković
Keyword(s):  
Phase Field ◽  
Damage Evolution ◽  
Deformation Gradient ◽  
Damage Model ◽  
Steel Structures ◽  
Plasticity Model ◽  
Metal Plasticity ◽  
Damage And Fracture ◽  
Von Mises ◽  
Von Mises Plasticity

Steel structures are designed to operate in an elastic domain, but sometimes plastic strains induce damage and fracture. Besides experimental investigation, a phase-field damage model (PFDM) emerged as a cutting-edge simulation technique for predicting damage evolution. In this paper, a von Mises metal plasticity model is modified and a coupling with PFDM is improved to simulate ductile behavior of metallic materials with or without constant stress plateau after yielding occurs. The proposed improvements are: (1) new coupling variable activated after the critical equivalent plastic strain is reached; (2) two-stage yield function consisting of perfect plasticity and extended Simo-type hardening functions. The uniaxial tension tests are conducted for verification purposes and identifying the material parameters. The staggered iterative scheme, multiplicative decomposition of the deformation gradient, and logarithmic natural strain measure are employed for the implementation into finite element method (FEM) software. The coupling is verified by the ‘one element’ example. The excellent qualitative and quantitative overlapping of the force-displacement response of experimental and simulation results is recorded. The practical significances of the proposed PFDM are a better insight into the simulation of damage evolution in steel structures, and an easy extension of existing the von Mises plasticity model coupled to damage phase-field.

scholarly journals Numerical analysis for phase field simulations of moving interfaces with topological changes

PAMM ◽  
2010 ◽  
Vol 10 (1) ◽  
pp. 565-566
Author(s):  
Sören Bartels ◽  
Rüdiger Müller
Keyword(s):  
Numerical Analysis ◽  
Phase Field ◽  
Moving Interfaces ◽  
Topological Changes

scholarly journals Numerical analysis of the stress concentration near holes originating in previously loaded viscoelastic bodies at finite strains

2013 ◽  
Vol 50 (20-21) ◽  
pp. 3119-3135 ◽  
Author(s):  
Vladimir A. Levin ◽  
Konstantin M. Zingerman ◽  
Anatoly V. Vershinin ◽  
Eugene I. Freiman ◽  
Anastasia V. Yangirova
Keyword(s):  
Numerical Analysis ◽  
Stress Concentration ◽  
Finite Strains ◽  
Viscoelastic Bodies

Phase Field Simulation of Effect of Super-Cooling Degree on Nickel Dendrite Growth

2014 ◽  
Vol 1055 ◽  
pp. 11-14
Author(s):  
Shu Ting Li
Keyword(s):  
Crystal Growth ◽  
Phase Field ◽  
Good Method ◽  
Isothermal Solidification ◽  
Dendrite Growth ◽  
Secondary Branch ◽  
Crystal Nucleus ◽  
Field Coupling ◽  
Field Simulation ◽  
Distribution Field

The phase field coupling with the temperature distribution field is a good method to simulate the dendrite growth during isothermal solidification. The effects of super-cooling degree on the dendrite growth are studied in the process of Nickel isothermal solidification. The results indicate that super-cooling degree has an important effect on the dendrite growth. When the super-cooling degree is small, the rate of crystal growth all is small and the shape of Crystal nucleus is an approximative ball. As super-cooling degree increases, the rate of crystal growth become large fast and the main branch Grow up quickly and its shap become long and thin, and secondary branch appear in the root between every two main branch. Ever, as the super-cooling degree become very large, the more arm dendrite appear and the rate of the main branch is smothered.

Numerical analysis of effective mechanical properties of rubber-cord composites under finite strains

2015 ◽  
Vol 131 ◽  
pp. 25-36 ◽  
Author(s):  
V.A. Levin ◽  
K.M. Zingerman ◽  
A.V. Vershinin ◽  
M.Ya. Yakovlev
Keyword(s):  
Mechanical Properties ◽  
Numerical Analysis ◽  
Finite Strains ◽  
Effective Mechanical Properties
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