Shear crack growth in brittle materials modeled by constrained Cosserat elasticity

Gourgiotis, P.A.

doi:10.1016/j.jeurceramsoc.2017.12.056

Cited by 4 publications

(2 citation statements)

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“…< 1 is the ratio between the dilatational and the shear wave speeds; and ν is the Poisson ratio. We restrict the following analysis for the case of the same values of the length scale parameters g = l. This case is generally admissible and corresponds to the materials with an almost nondispersive nature of the elastic waves [36]. Moreover, this case can be treated as a zero-order approximation for the materials with close values of the length scale parameters g = l + , | |…”

Section: Plane Strain Steady-state Problemmentioning

confidence: 99%

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Steady-State Crack Growth in Nanostructured Quasi-Brittle Materials Governed by Second Gradient Elastodynamics

Solyaev

2023

Applied Sciences

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The elastodynamic stress field near a crack tip propagating at a constant speed in isotropic quasi-brittle material was investigated, taking into account the strain gradient and inertia gradient effects. An asymptotic solution for a steady-state Mode-I crack was developed within the simplified strain gradient elasticity by using a representation of the general solution in terms of Lamé potentials in the moving framework. It was shown that the derived solution predicts the nonsingular stress state and smooth opening profile for the growing cracks that can be related to the presence of the fracture process zone in the micro-/nanostructured quasi-brittle materials. Note that similar asymptotic solutions have been derived previously only for Mode-III cracks (under antiplane shear loading). Thus, the aim of this study is to show the possibility of analytical assessments on the elastodynamic crack tip fields for in-plane loading within gradient theories. By using the derived solution, we also performed analysis of the angular distribution of stresses and tractions for the moderate speed of cracks. It was shown that the usage of the maximum principal stress criterion within second gradient elastodynamics allows us to describe a directional stability of Mode-I crack growth and an increase in the dynamic fracture toughness with the crack propagation speed that were observed in the experiments with quasi-brittle materials. Therefore, the possibility of the effective application of regularized solutions of strain gradient elasticity for the refined analysis of dynamic fracture processes in the quasi-brittle materials with phenomenological assessments on the cohesive zone effects is shown.

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Section: Plane Strain Steady-state Problemmentioning

confidence: 99%

“…We consider the plane strain steady-state problem of a Mode I crack propagated along the X 1 -axis with the constant speed v < c r < c 2 (c r is the speed of the Rayleigh waves that are studied within SGET in Refs. [14,36]). We assume that the crack propagates due to remotely applied loading (Figure 1).…”

Section: Asymptotic Solution For Growing Crackmentioning

confidence: 99%