A nonlocal model of fracture by crazing in polymers

Kröger, Martin; Conti, Sergio; Ortiz, Michael

doi:10.1016/j.mechmat.2015.02.006

Cited by 16 publications

(8 citation statements)

References 20 publications

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“…Whereas cytoskeletal elasticity has been extensively studied in the past, processes of damage accumulation in the cytoskeleton under LIPUS actuation, or high-cycle cell fatigue, appear to be as yet poorly understood. Building on past work on failure of polymer networks [41,42,43], we develop a model of cumulative cell damage that accounts for the gradual disruption and repair of cytoskeletal fibers. This competition between disruption ('death') and repair ('birth') is a classical example of a 'birth-death' process in evolutionary dynamics, cf., e.g., [44].…”

Section: 3mentioning

confidence: 99%

“…Again, we assume that the duration T 2 of the off-period is much larger than the natural period of vibration T 0 . Under these assumptions, in off-period we have (42) u(t) = 0, q(t) = q 1 e −(t−t 1 )/tr , outside a short transient decaying on the scale of T 0 immediately following t 1 . Thus, modulo short transients during the off-period the cell is quiescent and repairs itself exponentially on the time scale of t r .…”

Section: 3mentioning

confidence: 99%

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A dynamical model of oncotripsy by mechanical cell fatigue: selective cancer cell ablation by low-intensity pulsed ultrasound

et al. 2020

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The method of oncotripsy, first proposed in [1], exploits aberrations in the material properties and morphology of cancerous cells in order to ablate them selectively by means of tuned low-intensity pulsed ultrasound (LIPUS). We propose a dynamical model of oncotripsy that follows as an application of cell dynamics, statistical mechanical theory of network elasticity and 'birth-death' kinetics to describe processes of damage and repair of the cytoskeleton. We also develop a reduced dynamical model that approximates the three-dimensional dynamics of the cell and facilitates parametric studies, including sensitivity analysis and process optimization. We show that the dynamical model predicts-and provides a conceptual basis for understanding-the oncotripsy effect and other trends in the data of Mittelstein et al.[2] for cells in suspension, including the dependence of cell-death curves on cell and process parameters.

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Section: 3mentioning

confidence: 99%

Section: 3mentioning

confidence: 99%

A dynamical model of oncotripsy by mechanical cell fatigue: selective cancer cell ablation by low-intensity pulsed ultrasound

et al. 2020

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“…Ductile fracture of metals furnishes a rare example of a multiscale material system whose effective behavior can be ascertain explicitly and in closed form. [3][4][5][6][7][8] Ductile fracture of metals is the net result of void nucleation, growth and coalescence mechanisms that operate at the microscale [9][10][11][12] and, in this sense, sets forth a prototypical two-scale problem with strict separation of scales.…”

Section: Introductionmentioning

confidence: 99%

Use of effective multiscale cohesive models in the simulation of spall in metal plates

Pandolfi,

Ortiz

2024

Numerical Meth Engineering

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Ductile fracture of metals is the net result of void nucleation, growth and coalescence mechanisms that operate at the microscale. Optimal scaling analysis provides the analytical form of the effective material law that models the ductile fracture phenomena at the macroscale. The upscaled model of ductile behavior assumes the form of a cohesive relation—surface traction versus displacement—of the power‐law type with well‐defined exponents. In the present work, we demonstrate how the effective cohesive law derived from optimal scaling can be conveniently inserted into macroscale calculations by recourse to cohesive elements. The plastic deformation outside the cohesive elements is of moderate size and can be modeled by means of conventional plasticity models. In particular, the mesh size is dictated by accuracy considerations at the macroscale structural level and is not in any way constrained by microscale features and mechanisms, which happen at the subgrid level and are accounted for by the effective cohesive law. We illustrate the multiscale paradigm by means of spall calculations.

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“…However, there still lacks some evidence on how stress state other than tension would affect the fracture modes. Besides, the fracture pattern could also be altered based on different craze-crack interactions 24 , 25 , 44 – 47 . Higher loading rate would typically cause the craze opening rate to accelerate 48 and altering the fracture pattern from features like parabola shapes at low crack extension speed to broken patch patterns at high crack extension speed; this phenomenon is found for both polystyrene 24 and polypropylene 45 ; whether similar phenomena could be found for HIPS remains unknown.…”

Section: Introductionmentioning

confidence: 99%

High-accuracy virtual testing of air conditioner’s digital twin focusing on key material’s deformation and fracture behavior prediction

Wan

Lü

et al. 2022

Sci Rep

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The concept of digital twin has been introduced for some time, yet one fundamental element of digital twin, digital material, has not been thoroughly studied. To interact with the physical product, the digital twin should always truthfully reflect the responses under various stimuli. In this paper, the deformation and fracture behavior of high impact polystyrene (HIPS) under the influencing factors of strain rate and stress triaxiality are studied to construct the material’s digital model. A digital twin of air conditioner product is further built and tested under virtual drop test. Comparing to experimental results, the acceleration curve, crazing induced whitening and the fracture events can all be captured by the digital twin. Our work demonstrates the importance of material characterization as an essential step to construct an accurate digital twin and shows a promising future of digital twin in virtual testing to replace traditional “trial and error” experiments.

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A nonlocal model of fracture by crazing in polymers

Cited by 16 publications

References 20 publications

A dynamical model of oncotripsy by mechanical cell fatigue: selective cancer cell ablation by low-intensity pulsed ultrasound

A dynamical model of oncotripsy by mechanical cell fatigue: selective cancer cell ablation by low-intensity pulsed ultrasound

Use of effective multiscale cohesive models in the simulation of spall in metal plates

High-accuracy virtual testing of air conditioner’s digital twin focusing on key material’s deformation and fracture behavior prediction

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