Efficient Crack Length Measurement Using A* Shortest Path Methodology for a Phase-Field Fracture Framework

Vale, Matheus Garcia do; Ávila, Julián A.; Boldrini, José Luiz; Bittencourt, Marco L.

doi:10.1590/1679-78257559

Cited by 1 publication

(1 citation statement)

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“…Mathematical models have been developed aiming to describe realistically the mechanical, thermal and chemical behavior of many types of materials. In the context of damage and fracture models, the phase field approach is a competitive alternative to the conventional discrete methods (Haveroth et al, 2018;Petrini et al, 2020;Vale et al, 2023). However, anisotropic damage has been mainly addressed by models based on the Continuum Damage Mechanics (CDM).…”

Section: Introductionmentioning

confidence: 99%

Brittle Anisotropy based on a Tensor Damage Phase Field Model

Petrini,

Esteves,

Boldrini

et al. 2023

Lat. Am. j. solids struct.

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A consistent model that properly captures the behavior of materials when submitted to loads and at the same time considers the influence of damage growth in the material properties is a challenging task. Specially in brittle materials, due to the mechanism of cleavage, as the damage grows, the material mechanical response is differently degraded according to the load direction considered, characterizing an anisotropic damage. A fourth-order degradation tensor is used with a phase field framework in order to model the induced damage anisotropy without the need of defining the damage principal direction a priori. The transient non-linear coupled system of equations is solved using appropriate time integration procedures. Due to the mild nonlinearities, standard linearization methods are not considered. The numerical examples illustrate the model's features and conclude that the adopted approach is able to simulate anisotropic damage totally driven by the strain state of the material.

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Section: Introductionmentioning

confidence: 99%