Phase-field cohesive fracture theory: A unified framework for dissipative systems based on variational inequality of virtual works

Feng, Ye; Li, Jie

doi:10.1016/j.jmps.2021.104737

Cited by 34 publications

(6 citation statements)

References 35 publications

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“…This is demonstrated by a comparison with an homogeneous case (dashed line). The force finally falls to (almost) zero values though no crack developed across the whole domain because the lateral compression prevents the crack to hit the outer contour of the domain, as it was expected in accordance with experimental observations in [21]. Direct observations of the interface variables provide another aspect of the results.…”

Section: Combined Loading Imposed On a Domain With Groovessupporting

confidence: 82%

“…The capability of the proposed model for mixed-mode fracture can be verified by a structural element with an inhomogeneity and two initial grooves which was motivated by the model analysed in [21]. Nevertheless, within the present model it includes also an inhomogeneity.…”

Section: Combined Loading Imposed On a Domain With Groovesmentioning

confidence: 68%

“…The variety of degradation functions is frequently explained by particular material behaviour, properties of the computational approach and many times they are supported by empirical results. Additionally, the ability of such approaches was revealed to distinguish between cracking mechanisms in distinct modes of cracks, advantageously related to different amount of energy necessary to initiate and propagate cracks in various crack modes [21] within variationally based approaches. Hence, the phase-field model appeared under combination of loading in tension, compression, or shear [22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

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A mixed-mode dependent interface and phase-field damage model for solids with inhomogeneities

Vodička

2023

Theoretical and Applied Fracture Mechanics

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Section: Combined Loading Imposed On a Domain With Groovessupporting

confidence: 82%

Section: Combined Loading Imposed On a Domain With Groovesmentioning

confidence: 68%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A mixed-mode dependent interface and phase-field damage model for solids with inhomogeneities

Vodička

2023

Theoretical and Applied Fracture Mechanics

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“…The jewels of the King, consort and crown prince were all made by I Mangkara, therefore he was rich and arrogant thanks to the favor of the King. I Mengkara's expertise in making gold jewelry made him very famous, and increased his arrogance among the common people (Feng & Li, 2022;Onosato & Iwata, 1993).…”

Section: Synopsismentioning

confidence: 99%

Technology transfer method of Tantri Darmaswami dance theater as a virtual work

Suteja

Mawan²

2022

ijhla

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The COVID-19 pandemic has become a scourge for performing arts activists. The impact narrows the movement of art life, both formal and non-formal. Creative people try to be creative in finding breakthroughs to overcome this stagnation. This cannot be done unilaterally, it needs cooperation with the Business World and the Industrial World (DUDI) to communicate the results of the work. Solving problem, through the Diktiristek Matching Fund Program, the Faculty of Performing Arts (FSP) of the Indonesian Arts Institute (ISI) Denpasar in collaboration with PT. Bali Ranadha Television, created the work of Darmaswami Tantri Dance Theatre, which combines elements of tantri dance theater with cinematographic techniques into a virtual masterpiece. Using the technology transfer method is the transfer of the ability to utilize, master science, and technology. The goal is to increase art knowledge, produce quality creations, continue artistic work, and can be enjoyed by the public through virtual communication

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“…To tackle numerical challenges in free-discontinuity problems, Bourdin et al [7] introduced the regularization of fracture energy, which includes displacement field and an auxiliary field called phase field. This regularization process introduced a characteristic length scale dictating the width of crack band [8], which is the origin of the phase field modeling of fracture. The underlying principle of this method involves transforming surface integrals of fracture surfaces into volume integrals and this formulation can then be added with other energy with volume integrals, such as kinetic energy, internal energy and external work.…”

Section: Introductionmentioning

confidence: 99%

Phase field modeling of ductile fracture with isotropic hardening and radius return method

Meng,

Tabiei

2024

Modelling Simul. Mater. Sci. Eng.

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Phase field model has been investigated for brittle fracture in many static and dynamic scenarios, but its applications to ductile fracture is not as common as brittle fracture, especially implementing in software LS-DYNA with explicit scheme. In this study, an efficient LS-DYNA implementation of the phase field modeling of ductile fracture is presented, and both with and without the split of elastic strain energy have been considered for the damage evolution. In more detail, plasticity formulation of ductile material with isotropic hardening is briefly presented first, and then the governing equations of the classical phase field model are derived, which gives the displacement-phase coupled problem. For with the split of elastic strain energy, the shear component of elastic strain energy is considered for the damage evolution. The influence of degradation function on stress-strain curve is also investigated by using three kinds of function (polynomial function, algebraic fraction function, and sigmoid function), which leads to linear and nonlinear finite element method (FEM) formulation of the phase field model, and Newton-Raphson method is used to solve the nonlinear FEM formulation of the phase field model. A tensile bar test shows the influence of critical energy release rate and degradation function on stress-strain curve. Mode Ⅰ failure of three-point bending test, Mode Ⅱ failure of single-edge notched plate, and mixed-mode failure of asymmetrical double-notched plate verify the proposed model in this study. From these simulations, with the split of elastic strain energy shows improvements on plastic deformation than without the split of elastic strain energy.

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Phase-field cohesive fracture theory: A unified framework for dissipative systems based on variational inequality of virtual works

Cited by 34 publications

References 35 publications

A mixed-mode dependent interface and phase-field damage model for solids with inhomogeneities

A mixed-mode dependent interface and phase-field damage model for solids with inhomogeneities

Technology transfer method of Tantri Darmaswami dance theater as a virtual work

Phase field modeling of ductile fracture with isotropic hardening and radius return method

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