Influence of microcracks on thermal fracture of macrocrack

Tamužs, Vitauts; Romalis, N. B.; Petrova, Vera

doi:10.1016/0167-8442(93)90022-4

Cited by 12 publications

(4 citation statements)

References 2 publications

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“…where M j is the dipole matrix for the corresponding defect, ∇ x u (0) Y j is the gradient of the displacement in the unperturbed configuration evaluated at the centre of the defect Y j = (d j cos ϕ j , d j sin ϕ j ), given by (21), and…”

Section: Analysis Of a Stable Quasi-static Propagation Of An Interfacmentioning

confidence: 99%

Perturbation analysis of Mode III interfacial cracks advancing in a dilute heterogeneous material

Mishuris

Movchan

2012

International Journal of Solids and Structures

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A. Piccolroaz, G. Mishuris, A. Movchan and N. Movchan. Perturbation analysis of Mode III interfacial cracks advancing in a dilute heterogeneous material. International Journal of Solids and Structures, 2012, 49, 244-255.The paper addresses the problem of a Mode III interfacial crack advancing quasi-statically in a heterogeneous composite material, that is a two-phase material containing elastic inclusions, both soft and stiff, and defects, such as microcracks, rigid line inclusions and voids. It is assumed that the bonding between dissimilar elastic materials is weak so that the interface is a preferential path for the crack. The perturbation analysis is made possible by means of the fundamental solutions (symmetric and skew-symmetric weight functions) derived in Piccolroaz et al. (2009). We derive the dipole matrices of the defects in question and use the corresponding dipole fields to evaluate effective tractions along the crack faces and interface to describe the interaction between the main interfacial crack and the defects. For a stable propagation of the crack, the perturbation of the stress intensity factor induced by the defects is then balanced by the elongation of the crack along the interface, thus giving an explicit asymptotic formula for the calculation of the crack advance. The method is general and applicable to interfacial cracks with general distributed loading on the crack faces, taking into account possible asymmetry in the boundary conditions. The analytical results are used to analyse the shielding and amplification effects of various types of defects in different configurations. Numerical computations based on the explicit analytical formulae allows for the analysis of crack propagation and arrest.Peer reviewe

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Section: Analysis Of a Stable Quasi-static Propagation Of An Interfacmentioning

confidence: 99%

Perturbation analysis of Mode III interfacial cracks advancing in a dilute heterogeneous material

Mishuris

Movchan

2012

International Journal of Solids and Structures

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“…To solve complex crack interaction problems, assumptions are made in approaches based on classical continuum mechanics (CCM) to simplify the problem. For example, while the interactions between maincracks and micro-cracks are investigated in analytical calculations, the interactions between micro-cracks are frequently neglected [16,17]. This should not be the case for understanding the toughening mechanism of micro-cracks, as their interaction is always dominated under complex loading conditions.…”

Section: Introductionmentioning

confidence: 99%

Peridynamic modeling of toughening enhancement in unidirectional fiber-reinforced composites with micro-cracks

Basoglu

Kefal

Zerin

et al. 2022

Composite Structures

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“…The classical continuum mechanics based approaches were used to solve the complex problems of crack interactions, but assumptions were made to simplify the problem. For example, analytical calculations include only the interaction of the main crack with micro-cracks, but the mutual interaction between the micro-cracks is neglected [17,18].…”

Section: Introductionmentioning

confidence: 99%

Influence of Different Types of Small-Size Defects on Propagation of Macro-cracks in Brittle Materials

Karpenko

Oterkus

Öterkuş

2020

J Peridyn Nonlocal Model

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The presence of defects in the structure requires noticeable attention and understanding of fracture mechanisms in brittle materials has to be established. Defects in the form of holes, macro-and micro-cracks are the main interest of this paper. This work investigates the dual role of holes and micro-crack arrays on toughening and degradation mechanisms in concrete structures. An ordinary state-based peridynamics (PD) model is utilized to analyse the fracture problem at the micro-level. The application of PD shows its advantage in crack-hole, macro-and micro-crack interaction problems since PD can accurately predict the contribution of defects on structural behaviour. The study of the three-point bending problem with five types of holes existing in the structure showed the crack arrest phenomena at the hole boundary and the "attraction" of the crack to propagate towards the hole. For the study of the macro-and micro-cracks interaction problem, various cases of the micro-crack distribution and inclination angles are considered and validated with analytical studies. The PD quasi-static simulations show good agreement with analytical solutions. Moreover, PD dynamic solutions show the capability of PD to capture complex crack propagation paths. It is observed that the presence of micro-cracks and holes ahead of the main crack can suppress its further propagation as well as have an influence on the crack propagation direction. The numerical results demonstrate the efficiency of the PD modelling of multiple crack interaction problems.

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Influence of microcracks on thermal fracture of macrocrack

Cited by 12 publications

References 2 publications

Perturbation analysis of Mode III interfacial cracks advancing in a dilute heterogeneous material

Perturbation analysis of Mode III interfacial cracks advancing in a dilute heterogeneous material

Peridynamic modeling of toughening enhancement in unidirectional fiber-reinforced composites with micro-cracks

Influence of Different Types of Small-Size Defects on Propagation of Macro-cracks in Brittle Materials

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